the english alphabet contains 21 consonants and five vowels. how many strings of six lowercase letters of the english alphabet contain at least one vowel?
Answers
The English alphabet contains 21 consonants and 5 vowels. We are to find how many strings of 6 lowercase letters of the English alphabet contain at least one vowel.We will find the number of strings of 6 lowercase letters that contain no vowel and subtract it from the total number of strings of 6 lowercase letters. We can also use complementary counting to solve this problem.The total number of strings of 6 lowercase letters of the English alphabet is 26^6 since there are 26 letters in the English alphabet.We find the number of strings of 6 lowercase letters of the English alphabet that contain no vowel by finding the number of 6-letter strings using only consonants. Since there are 21 consonants in the English alphabet, there are 21 choices for the first letter, 21 choices for the second letter, and so on. Thus, there are 21^6 strings of 6 lowercase letters of the English alphabet that contain no vowel.Therefore, the number of strings of 6 lowercase letters of the English alphabet that contain at least one vowel is equal to:26^6 - 21^6= 308,915,776 strings.
As per the given combination, the number of strings of six lowercase letters of the English alphabet containing at least one vowel is the calculated value is 223149655.
Since we are considering only lowercase letters, there are 26 options for each position in the string (a to z). Since we need to form a string of six letters, the total number of possible strings is given by 26⁶ (26 raised to the power of 6), as each position has 26 choices.
Number of strings with no vowels:
Since there are five vowels in the English alphabet, there are 26 - 5 = 21 consonants. In a string of six letters, we have 21 options for each position to choose a consonant. Therefore, the number of strings with no vowels is 21⁶.
Number of strings with at least one vowel:
To find the number of strings with at least one vowel, we subtract the number of strings with no vowels from the total number of possible strings:
Number of strings with at least one vowel = Total number of possible strings - Number of strings with no vowels
= 26⁶ - 21⁶ = 223149655
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Related Questions
Consider a flow network in which vertices, as well as edges, have capacities. That is, the total positive flow entering any given vertex is subject to a capacity constraint
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Maintain the same constraints on edge capacity, skew symmetry, and flow conservation in the ordinary maximum-flow problem on a flow network of comparable size.
What is flow network?A flow network is a directed graph with each edge having a capacity and each edge receiving a flow, according to graph theory. The amount of flow on an edge must not exceed the edge's capacity.
Let's suppose the network flow is given by;
G = (V, E)
With edge capacity:
c: E → R
And vertex capacity:
d: V → R
Maintain the same constraints on edge capacity, skew symmetry, and flow conservation.
Consider the new stipulation: for each:
v ∈V
So,
\(\rm \sum_{u \in v } \{ f(u,v)|f(u,v) > 0 \} \leq d(v)\)
Thus, if maintain the same constraints on edge capacity, skew symmetry, and flow conservation the ordinary maximum-flow problem on a flow network of comparable size.
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A university is comparing the grade point averages of theater majors with the grade point averages of for each sample are shown in the table. In this case, assume that the sample standard deviation is equal to the population standard deviation Sample Mean 3.22 3.24 Sample Standard Deviation 0.002 0.08 Theater Majors History Majors The university wants to test whether there is a significant difference in GPAs for students in the two majors. What is the P-value and conclusion at a significance level of 0.05? 1 point) The P-value is 0.0386. Reject the null hypothesis that there is no difference in the GPAs The P-value is 0.0772. Fail to reject the null hypothesis that there is no difference in the GPAS The P-value is 0.0386. Fail to reject the null hypothesis that there is no difference in the GPAs The P-value is 0.0772. Reject the null hypothesis that there is no difference in the GPAs.
Answers
Thus, The P-value is 0.0386. Reject the null hypothesis that there is no difference in the GPAs.
Based on the given information, the university is comparing the grade point averages of theater majors with the grade point averages of history majors.
The sample mean for theater majors is 3.22 with a sample standard deviation of 0.002, and the sample mean for history majors is 3.24 with a sample standard deviation of 0.08. The university wants to test whether there is a significant difference in GPAs for students in the two majors, at a significance level of 0.05.To test for significant difference, we can use a two-sample t-test, assuming equal variances and normal distribution of data. Using this test, we can calculate the P-value, which represents the probability of obtaining the observed results, assuming that the null hypothesis (no significant difference in GPAs between theater and history majors) is true.
Performing the two-sample t-test, we get a P-value of 0.0386. This means that there is a 3.86% chance of obtaining the observed results (or more extreme results), assuming that there is no significant difference in GPAs between theater and history majors. ince the significance level is 0.05, and the P-value is less than 0.05, we can reject the null hypothesis and conclude that there is a significant difference in GPAs between theater and history majors.
In summary, the correct answer is: The P-value is 0.0386. Reject the null hypothesis that there is no difference in the GPAs.
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Why didnt more city-states of greece revolt about getting taken over by mac edonia?
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The city-states of Greece did not revolt more against the takeover by Macedonia due to factors such as military strength, political calculations, and lack of unity.
What factors contributed to the limited revolts against Macedonia's takeover in Greece?One reason is that Macedonia, under the leadership of Philip II and later his son Alexander the Great, had established a formidable military force. The Macedonian army was highly trained and experienced, making it challenging for individual city-states to resist their advances. The overwhelming military strength of Macedonia deterred many city-states from attempting to revolt.
Additionally, Macedonia employed a strategy of diplomacy and political maneuvering to consolidate power. Philip II and Alexander the Great skillfully formed alliances and forged relationships with influential individuals and city-states, sometimes offering them favorable terms or autonomy within their territories. These political calculations persuaded some city-states to accept Macedonian rule rather than risk conflict and potential destruction.
Furthermore, the city-states of Greece were not entirely unified and often engaged in rivalries and internal disputes. This lack of unity made it difficult to mount a coordinated resistance against Macedonia. Some city-states may have been hesitant to revolt against Macedonian rule out of fear of retaliation from neighboring city-states or a desire to maintain stability within their own territories.
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it has been observed that some persons who suffer renal failure, again suffer renal failure within one year of the first episode. this is due, in part, to damage from the first episode. the performance of a new drug designed to prevent a second episode is to be tested for its effectiveness in preventing a second episode. in order to do this two groups of people suffering a first episode are selected. there are 75 people in the first group and this group will be administered the new drug. there are 75 people in the second group and this group will be administered a placebo. after one year, 10% of the first group has a second episode and 9% of the second group has a second episode. conduct a hypothesis test to determine, at the significance level 0.1, whether there is reason to believe that the true percentage of those in the first group who suffer a second episode is different from the true percentage of those in the second group who suffer a second episode? select the [alternative hypothesis, value of the test statistic].
Answers
To conduct a hypothesis test to determine if there is reason to believe that the true percentage of those in the first group who suffer a second episode is different from the true percentage of those in the second group who suffer a second episode, we can follow these steps:
1. Define the null hypothesis (H0) and alternative hypothesis (Ha):
- Null hypothesis (H0): The true percentage of those in the first group who suffer a second episode is the same as the true percentage of those in the second group who suffer a second episode.
- Alternative hypothesis (Ha): The true percentage of those in the first group who suffer a second episode is different from the true percentage of those in the second group who suffer a second episode.
2. Determine the significance level: The significance level is given as 0.1, which means we need to find evidence that is strong enough to reject the null hypothesis with a 10% chance of making a Type I error (incorrectly rejecting a true null hypothesis).
3. Calculate the test statistic: We need to compare the observed proportions in both groups to determine if they are significantly different. The test statistic used for this situation is the z-test for comparing proportions.
4. Calculate the test statistic value: The formula for the z-test for comparing proportions is:
- Test statistic value = (p1 - p2) / √((p * (1 - p)) * ((1/n1) + (1/n2)))
- where p1 and p2 are the observed proportions of second episode occurrences in the first and second groups respectively, n1 and n2 are the sizes of the first and second groups respectively, and p is the pooled proportion calculated as (x1 + x2) / (n1 + n2), where x1 and x2 are the number of second episode occurrences in the first and second groups respectively.
5. Determine the critical value(s): The critical value(s) depend on the significance level and the type of test (one-tailed or two-tailed). Since the alternative hypothesis is two-tailed, we will find the critical values for a two-tailed test with a 0.1 significance level.
6. Compare the test statistic value with the critical value(s): If the absolute value of the test statistic value is greater than the critical value(s), we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.
7. Draw a conclusion: Based on the results of the hypothesis test, we can draw a conclusion regarding whether there is reason to believe that the true percentage of those in the first group who suffer a second episode is different from the true percentage of those in the second group who suffer a second episode.
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So y’all rlly not abt to help me :( I’ve been posting the same thing for 2 days know help a dummy out plzzz
Describe and correct the error in finding the product
Answers
Step-by-step explanation:
the 2 and the t were combined when they weren't like terms, combined your like terms first and then answer
what is 2 times 7 i really need this answer
Answers
Answer:
14
Hope this helps
Answer:
14
Step-by-step explanation:
2 x 7 = 7 + 7
7+7=14
O Calculate the following sums a) Ž 5 (D) 6) & 6 10 KI nei k² + zk k=1 (2 Do the following series converge or diverge? ? a) Ž b) Z 5 ink k KI k=1 k! 2.
Answers
In mathematics, when we say that a series converges, it means that the terms of the series approach a finite value as we take more and more terms.
a) ∑(5k² + zk) from k=1 to 6:
To evaluate this sum, we substitute the values of k from 1 to 6 into the given expression and add them up:
∑(5k² + zk) = (5(1²) + z(1)) + (5(2²) + z(2)) + (5(3²) + z(3)) + (5(4²) + z(4)) + (5(5²) + z(5)) + (5(6²) + z(6))
Simplifying:
= (5 + z) + (20 + 2z) + (45 + 3z) + (80 + 4z) + (125 + 5z) + (180 + 6z)
Combining like terms:
= 455 + 21z
Therefore, the sum is 455 + 21z.
b) ∑(5ink/k!) from k=1 to 2:
To evaluate this sum, we substitute the values of k from 1 to 2 into the given expression and add them up:
∑(5ink/k!) = (5in1/1!) + (5in2/2!)
Simplifying:
= 5in + 5in^2/2
Therefore, the sum is 5in + 5in^2/2.
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For the sum of (5.2 x 10^4 ) and (6.95 x 10^4 ) in scientific notation, why will the power of 10 be 10^5 ?
Answers
Answer:
12.15 *10^4
=1.215 *10^5
it must be like that so as to express it in standard form
The sum of (5.2 × 10⁴) and (6.95 × 10⁴) in scientific notation will be 12.15 × 10⁴.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The numbers in the scientific notation will be given as,
(5.2 × 10⁴) and (6.95 × 10⁴)
Then the sum of the numbers will be
⇒ (5.2 × 10⁴) + (6.95 × 10⁴)
⇒ (5.2 + 6.95) × 10⁴
⇒ 12.15 × 10⁴
The sum of (5.2 × 10⁴) and (6.95 × 10⁴) in scientific notation will be 12.15 × 10⁴.
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TRUE/FALSE. If B = PDP^T where P^T=P^-1 and D is a diagonal matrix, then B is a symmetric matrix.
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The statement is true. If a matrix B can be expressed as B = PDP^T, where P is an invertible matrix and D is a diagonal matrix, then B is a symmetric matrix.
This can be proven as follows:
First, let's take the transpose of B:
B^T = (PDP^T)^T = (P^T)^TD^T P^T
Since D is a diagonal matrix, its transpose is equal to itself:
D^T = D
Therefore, we can substitute D^T with D in the above equation:
B^T = PDP^T = B
Since B is equal to its transpose, it is a symmetric matrix.
In other words, if a matrix B can be diagonalized by an orthogonal matrix P, which means that P^T=P^-1, then B is a symmetric matrix. This is because orthogonal matrices preserve the dot product and the symmetry of a matrix. The diagonal matrix D represents the eigenvalues of B, which can be either positive, negative, or zero. Therefore, if all the eigenvalues of B are non-negative, then B is positive definite, and if they are non-positive, then B is negative definite. If some eigenvalues are positive and some are negative, then B is indefinite.
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Determine the value of
f(2) when
f(x)=x² - 5x+2
Answers
Answer:
-4
Step-by-step explanation:
Substitute \(x = 2\) in to the function
\(f(2) = 2^2 -5(2) + 2\)
= -4
What is 67 kg in stones and pounds?
Answers
Kilograms (kg) is a unit of mass that is commonly used in the metric system. However, in some countries, such as the United Kingdom and the United States, the customary unit of measurement for weight is stone and pounds.
67 kg in stones is equivalent to approximately 147.71 pounds.
It's important to note that while the conversion from kilograms to stone and pounds is straightforward, the conversion is not exact due to rounding. However, this difference is generally small and can be ignored for most practical purposes.
Overall, understanding the conversion from kilograms to stone and pounds can be useful for students who are studying or traveling between countries that use different units of measurement for weight. Additionally, the process of converting from one unit of measurement to another can help reinforce important mathematical skills, such as division and rounding.
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Along a road there is an emergency telephone every 10 km, a water well every 15 km and a gas station every 20 km. How often do a telephone, a well and a gas station coincide?
Answers
Answer:
60 km
Step-by-step explanation:
Given that :
Location of emergency telephone = every 10km
Location of water well = Every 15 km
Location of gas station = every 20 km
To obtain how often an emergency telephone, water well and gas station coincide, we obtain the lowest common multiple of 10, 15 and 20
Multiples of ;
10 : 10, 20, 30, 40, 50, 60, 70
15 : 15, 30, 45, 60, 75, 90, 105
20 : 20, 40, 60, 80, 100
Hence, the lowest common multiple of 10, 15 and 20 is 60, thus, an emergency telephone line, gas station and water well will coincide every 60km
Suppose a professor gives a multiple choice quiz containing 5 questions, each with 4 possible responses: a, b, c, d. What is the minimum number of students that must be in the professor's class in order to guarantee that at least 2 answer sheets must be identical
Answers
The minimum number of students that must be in the professor's class in order to guarantee that at least 2 answer sheets are identical is 1025.
In order to answer this question, we need to use the Pigeonhole Principle, which states that if there are n pigeonholes and more than n objects, then at least one pigeonhole must contain more than one object.
In this case, the "pigeonholes" are the different possible combinations of answers for the 5 questions, and the "objects" are the students in the class.
Since there are 4 possible responses for each question, there are 4^5 = 1024 possible combinations of answers.
Now, suppose there are only 1023 students in the class.
Each student can choose one of the 1024 possible combinations of answers, and since there are more students than combinations, at least one combination must be chosen by two or more students.
Here are 5 questions, the total number of different answer sheets is 4^5 = 1024.
This represents the "pigeonholes." 3.
To guarantee that at least two answer sheets are identical, we need 1024 + 1 = 1025 students. This represents the "pigeons.
" According to the Pigeonhole Principle, if there are n pigeonholes and n+1 pigeons, at least one pigeonhole must contain at least two pigeons.
In this case, having 1025 students (pigeons) ensures that at least two students have identical answer sheets (pigeonholes).
But we want to guarantee that at least 2 answer sheets are identical.
This means we need to have one more student than the number of possible combinations, so that there is no way for each combination to be chosen by a different student.
Therefore, the minimum number of students required in the professor's class is 1024 + 1 = 1025.
So if there are 1025 or more students in the class, we can be sure that at least two answer sheets must be identical.
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How to simplify an equation to create an equivalent expression
Answers
Please solve and show work for number 12 thank you!
Answers
The length of the tangent line EF is equal to 7 feet which makes the option H correct.
What are lengths of two intersecting tangentsWhen two tangents intersect at a point on a circle, the lengths of the two tangents are equal. This is a consequence of the fact that the tangent to a circle at a point is perpendicular to the radius passing through that point.
At point E, each tangents have length of 2ft
At point D, each tangents have length of 4ft
At point F, each tangents have length of 5ft
length of EF = 2 ft + 5 ft
length of EF = 7 ft
Therefore, the length of the tangent line EF is equal to 7 feet.
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A marble is picked at random. Without putting the first marble back, a second marble is picked at random. Find the probability that first marble picked is green and second marble picked is red. Write your result as a percentage.
Answers
Answer:
Probability = 1/5 = 20%
Step-by-step explanation:
Prob (1st marble green) = Green Marbles / Total Marbles = 3/6 = 1/2
Pr (2nd marble red), without replacement = Red Marbles / Left Total Marbles = 2/5
Prob (1st marble green, & 2nd marble red) = 1/2 x 2/5 = 1/5
Prob in percent = 1/5 x 100 = 20%
A teacher recorded unit 4 test scores from her class.
58, 64, 66, 70, 71, 75, 77, 80,
84, 85, 87, 90, 93, 95, 96.
Find the percentile rank of a score of 71 on this street -
Victor is in the 60th percentile, what was his score?
Answers
The percentile score of 71 on test score is 27 and the score of victor is 71.
What is Statistics?Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.
Given, the teacher recorded unit 4 test scores from class.
The scores are: 5,4,66,70,71,75,77,80,84,85,87,90,93,95 and 96.
A percentile is a value on a scale of one hundred that indicates the percent of a distribution that is equal to or below it.
The percentile rank of a score of 71 on the test is find by formula
\(R_{100} =\frac{100(N < )+\frac{1}{2} }{N}\)
=100×4+1/2(1)/15
=400+0.5/15
=400.5/15
=26.7=27th
Now we need to find the score of victor who has 60th percentile.
60=Score/15
score=71
Hence, the percentile score of 71 on this test score is 27 and the score of victor is 71.
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Please Help me Please Answer it it is if 50 points
Answers
\( \frac{ - 5}{8} \times (\frac{4}{ - 15} ) \\ = \frac{1}{2 \times 3} \\ = \frac{1}{6} \)
The answer is (d) \( \frac{1}{6} \)on average, an individual's bmr decreases approximately 3 to 5 percent per decade after what age? a. 20 b. 50 c. 30 d. 70
Answers
An individual's BMR decreases approximately 3 to 5 percent per decade on an average after the age of option C. 30.
BMR is known as basal metabolic rate which decreases when the age of a person increases.As metabolism factor slow down with the increase in age.After the age of 30 metabolism rate decreases which effect basal metabolic rate every decade by round about 3 to 5 percent.At the young age expenditure of the daily energy is quiet more compare to older age.On an average after the age of 30 BMR is decreases approximately by 3 to 5 percent.
Therefore, on an average individuals BMR is approximately decreases by round about 3 to 5 percent per decade after the age of option c. 30.
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AGIAN HELP!!!!Identify the point on the vertical axis (y-axis) and state the real-world meaning of that point.
Answers
Answer:
The point on the vertical axis (y-axis) represents the y-intercept.
It represents the height over the sea level at the starting point of hiking
Step-by-step explanation:
From the graph
The y-axis represents the height above the sea level in feetThe x-axis represents the hours hiking→ The point on the vertical axis (y-axis) represents
The initial height above the sea levelThis point is the starting point of hikingIt called the y-intercept (0, 2000)→ Which means it represents their height at 0 hour
→ The real-world meaning of that point is:
They are 2000 feet above the sea level when they decided to start hikingThe point on the vertical axis (y-axis) represents the y-intercept.
It represents the height over the sea level at the starting point of hiking
Hey there! Can you please help me with 6th grade :-)
Answers
Oh i miss 6th grade im in 7th now lol and yes but i thank number 2 is 3 cnts
A square patio has a perimeter of (8x +28) feet. What is the length of the patio
Answers
Answer:
2x + 7
Step-by-step explanation:
the 4 sides of a square are congruent
divide 8x + 28 by 4 for length of side, that is
8x + 28 ÷ 4 ( divide each term by 4 )
= 2x + 7
suppose that a randomly generated list of number from 0 to 9 is being used to simulate an event that has a proabbility of success of 70%. which of these groups of numbers could represent a success? (a 0, 1, 2, 3, 4, 5 6, 7.) (b 0, 1 , 2, 3, 4, 5, 6, 7, 8) (c 0, 1, 3. 4, 5) (d 0, 1, 2, 3, 4, 5, 6)
Answers
To simulate an event with a probability of success of 70%, we need to choose a group of numbers that represents 70% of the total possible outcomes (0 to 9). Since there are 10 possible outcomes (0-9), we need a group that contains 70% of these outcomes, which means 7 numbers.
Let's examine each group:
(a) 0, 1, 2, 3, 4, 5, 6, 7 - This group contains 8 numbers, representing 80% of the total outcomes. Therefore, it cannot be used to simulate a 70% probability of success.
(b) 0, 1, 2, 3, 4, 5, 6, 7, 8 - This group contains 9 numbers, representing 90% of the total outcomes. Therefore, it cannot be used to simulate a 70% probability of success.
(c) 0, 1, 3, 4, 5 - This group contains 5 numbers, representing 50% of the total outcomes. Therefore, it cannot be used to simulate a 70% probability of success.
(d) 0, 1, 2, 3, 4, 5, 6 - This group contains 7 numbers, representing 70% of the total outcomes. This group can be used to simulate a 70% probability of success.
The correct answer is (d) 0, 1, 2, 3, 4, 5, 6, as it represents 70% of the total outcomes in the randomly generated list of numbers from 0 to 9.
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Based on statistics for the past several seasons, the probability that the best player on a basketball team makes a free throw
8
is The probability that the second-best player makes a free throw is
10
a season, how many more free throws is the best player expected to make?
←
The best player is expected to make more free throw(s).
(Type a whole number.)
13
20- If both players attempt 140 free throws over
Answers
The best player is expected to make 28 fewer free throws compared to the second-best player.
Based on the given information, the probability that the best player makes a free throw is 8/10 (or 0.8), while the probability that the second-best player makes a free throw is 10/10 (or 1.0). Both players attempt 140 free throws over a season.
To find out how many more free throws the best player is expected to make, we need to calculate the expected number of successful free throws for each player.
For the best player:
Expected number of successful free throws = Probability of success * Number of attempts
= 0.8 * 140
= 112
For the second-best player:
Expected number of successful free throws = Probability of success * Number of attempts
= 1.0 * 140
= 140
To find the difference in the expected number of successful free throws between the best player and the second-best player, we subtract the expected number of successful free throws for the second-best player from the expected number for the best player
Difference = Expected number of successful free throws (Best player) - Expected number of successful free throws (Second-best player)
= 112 - 140
= -28
The negative sign indicates that the second-best player is expected to make 28 more free throws than the best player over the course of the season.
Therefore, the best player is expected to make 28 fewer free throws compared to the second-best player.
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A mine worker discovers an ore sample containing 500 mg of radioactive material. it is discovered that radioactive material has a half-life of 1 day. Find the amount of radioactive material in the sample at the beginning of the 7th day
Answers
The amount of radioactive material remaining after 6 days is 7.8 mg
What is radioactive decay?Radioactive decay is the process by which an unstable atomic nucleus loses energy by radiation.
The amount of time that it takes one half of the atoms present to decay is called “half-life.
The half life is 1 day
2 days = 1/4
3 days = 1/8
4 days = 1/16
5 days = 1/32
6 days = 1/64
Since the question says on the beginning of 7th days , we are going to stop at 6th day
Therefore on the 7th day
500 × 1/64
= 7.8 mg will remain.
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What is the slope of the line that passes through
the points (2,
-4) and (5, 2)? Write your
answer in simplest form.
Answers
Answer:
2
Step-by-step explanation:
slope : ( The amount y increases , when x is increased by 1 )
slope : { y2 - y1 / x2 - x1 }
slope : y2 = 2
y1 = -4
x2 = 5
x1 = 2
You must minus the values in the formula to find the slope line that passes through the points:
slope : { y2 - y1 / x2 - x1 }
slope : (2) - (-4) / (5) - (2)
=> 2 + 3 / 3
=> 6/3
=> 2
Text explanation:
Difference between both y-coordinates. = 6
Difference between both x-coordinates. = 3
Divide the difference between y and x. =
y/x =2
Which means the slope of the line that passes through the points (2,-4) and (5,2) is 2.
Hope this helps! Sorry it took so long! ⸜(｡˃ ᵕ ˂ )⸝ xx
The slope of the line that passes through the points (2, -4) and (5, 2) is 2.
What is Slope?A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
slope = (y₂-y₁)/(x₂-x₁)
The slope of the line that passes through the points (2, -4) and (5, 2) can be calculated as shown below,
Slope = (y₂-y₁)/(x₂-x₁) = [2 - (-4)] / (5 - 2)= 6/3 = 2
Hence, the slope of the line that passes through the points (2, -4) and (5, 2) is 2.
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17. What is the area of the trapezoid?
18 mm
3.5 mm
11 mm
Answers
A = a+b/2 ⋅ h
Hope this helps!
HELP!!!!!
What goes on the boxes!!
Who’s got the answer!!!
Answers
researchers want to decrease the margin of error by adjusting the confidence level. which confidence interval will have the smallest margin of error (moe)?
Answers
One-sided confidence interval which have the smallest margin of error.
Given that;
Researchers want to decrease the margin of error by adjusting the confidence level.
You cannot be completely certain of the true value of a parameter, such as the mean, if your confidence interval is too broad. However, there are a number of methods you may do to narrow a confidence interval and improve the accuracy of your estimate. The following characteristics have an impact on the confidence interval's width.
one-sided confidence interval:
The margin of error is lower for a one-sided confidence interval than a two-sided confidence interval. A one-sided interval, however, merely shows whether a parameter is larger or less than a cut-off number. A one-sided interval does not reveal anything regarding the parameter's value when viewed from the other direction. Therefore, only use a one-sided confidence interval to boost an estimate's precision when you are concerned that it will either be higher or lower than a cut-off value, but not both.
Hence, we use one-sided confidence interval which have the smallest margin of error.
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The equation of the cables for a suspension bridge is modeled by the equation
y-48 = 0.0025x2, in feet. How far is the lowest point of the cables above the bridge?
The lowest point of the cables is
feet above the bridge.
Answers
The lowest point of the cables above the bridge is 48 feet above the bridge.
The statement give us a parabola equation in standard form, the vertical distance of the lowest point above the bridge is determined by the y-coordinate of the vertex. Hence, the lowest point of the cables above the bridge is 48 feet above the bridge.
We kindly invite to check this question on parabolae: https://brainly.com/question/8495869