Answer:
a) 1 : 24
b) 24 cm2
c) 30 cm
d) 200 cm
Step-by-step explanation:
There are a lot of details to this question (see attached). The work is haphazard. If in doubt, ask.
A glider begins its flight 4/5 mile above the ground. After 30 minutes, it is 3/10 mile above the ground. Find the change in heigh of the glider. If it continues to descend at this rate, how long does the entire descent last?
Answer:1 hour 15 Minutes
Step-by-step explanation:The glider begins its flight mile above the ground.
Distance above the ground after 45 minutes =
Change in height of the glider
Next, we determine how long the entire descent last.
Expressing the distance moved as a ratio of time taken
Therefore: Total Time taken =45+30=75 Minutes
=1 hour 15 Minutes
Sean is conducting an experiment with an isotope of a particular element that has a half-life of 4 hours. He begins with a sample of the isotope with a mass of 92 grams. He then measures the mass of the object every hour. What is the approximate mass of the sample after 20 hours?
As per the given half life the approximate mass of the sample after 20 hours is 0.03125
The term half life is defined as the interval of time required for one-half of the atomic nuclei of a radioactive sample to decay.
Here we have know that Sean is conducting an experiment with an isotope of a particular element that has a half-life of 4 hours.
And here we also know that he begins with a sample of the isotope with a mass of 92 grams and then measures the mass of the object every hour.
Then the approximate mass of the sample after 20 hours is calculated as,
=> 20/4 = 5
Then the value after 5 hours of time is calculated as,
=> 1/2⁵
=> 0.03125
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Which law best describes the image below? Explain. (3 sentence minimum)
Answer:
we can't see the image??
Translate each of the following verbal descriptions into an algebraic rule.The total cost of the order, t, is 11 dollars multiplied by the number of pizzas ordered, p.
The algebraic expression which correctly represents the verbal description; The total cost of the order, t, is 11 dollars multiplied by the number of pizzas ordered, p is; t = 11p.
Which algebraic expression correctly represents the verbal description as in the task content?It follows from the task content that the expression which correctly represents the verbal description be determined.
On this note, since total cost is; t and the number of pizzas ordered is; p.
The required expression is therefore;
t = 11 × p
t = 11p.
Ultimately, the verbal representation of the algebraic expression where total cost of the order, t, is 11 dollars and number of pizzas ordered, is p is given by t = 11p.
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a synthetic fiber used in manufacturing carpet has a tensile strength that is normally distributed with a mean 75.5 psi and standard deviation 3.5 psi. find the probability that a random sample of n
The sample tensile strength of fiber specimens will be greater than 75.75 psi in 43.25 percent of cases.
What is meant by Z-score?Z-score: Z-score indicates how much a given value differs from the standard deviation. The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean. Standard deviation is essentially a reflection of the amount of variability within a given data set.
given that a synthetic fiber used in manufacturing carpet has a tensile strength that is normally distributed with a mean 75.5 psi and standard deviation 3.5 psi
z = (raw score - mean) / (sample standard deviation - standard deviation)
n = 6; mean=75.5 psi; standard deviation=3.5 psi.
For (greater than) > 75.75,
z = (75.75 - 75.5) / (3.5 ÷√6) = 0.17
P(z > 0.17) = 1 - P(z < 0.17) = 1 - 0.5675 = 43.25%
The sample tensile strength of fiber specimens will be greater than 75.75 psi in 43.25 percent of cases.
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can someone help I will give the brainliest Plz help u will get 50 points
Answer:
B.) 6
2.) 70
3.) 56
Step-by-step explanation:
B.) 2(6) - 6
= 12 - 6
=6
2.) 7(2(3)+4)
=7(6+4)
=42+28
=70
3.) 10(3) + 4(3) + 14
= 30 + 12 + 14
= 42+14
=56
Have a wonderful day
:)
Drag each statement to show whether it is true, based on the graph. In 25 weeks, the stalk grew to a height of 4 inches. The stalk grew to a height of 25 inches in 4 weeks
Answer:
Frost 3 and sec 1 and third 22 and fist for Step-by-step explanation:
Answer:
TRUE
-25/4 is true
-the stalk grew 6.25 per week is true
-After 4 weeks, the stalk grew 25 is true
CANNOT BE DETERMINED
-Each bag can hold is cannot be determined
NOT TRUE
-And i forgot the other answer but it is NOT true
Step-by-step explanation:
I got it right on imagine math but sorry I forgot the choices but this should be right
A student takes a 5 question multiple-choice quiz with 5 possible answers on each question. (only one correct) a) If the student guesses on all the questions, what is the probability he/she answers all the questions wrong? b) If the student guess on all the questions, what is the probability he/she gets an A or a B on the quiz? (80% or better )
a) The probability of the student answering all the questions wrong by guessing is (4/5)^5 ≈ 0.3277. b) The probability of the student getting an A or a B on the quiz by guessing is 1 - P(all wrong) - P(all C or D or E) = 1 - (4/5)^5 - (1/5)^5 ≈ 0.9184.
a) To answer all the questions wrong, the student needs to guess the incorrect answer for each question. Since there are 5 possible answers for each question and only one correct answer, the probability of guessing the wrong answer is 4/5. Since the student needs to guess wrong on all 5 questions, we multiply the probabilities together: \((4/5)^5 ≈ 0.3277.\)
b) To calculate the probability of getting an A or a B, we subtract the probability of answering all the questions wrong and the probability of answering all the questions with C, D, or E (the incorrect answers). The probability of answering all the questions with C, D, or E is (1/5)^5 because there is only one correct answer (A or B) out of 5 options. Therefore, the probability of getting an A or a B is 1 - (4/5)^5 - (1/5)^5 ≈ 0.9184.
Hence, the probability of the student getting an A or a B on the quiz by guessing is approximately 0.9184.
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a particular 12 -hour digital clock displays the hour and minute of a day. unfortunately, whenever it is supposed to display a 1 , it mistakenly displays a 9. for example, when it is 1 : 16 pm the clock incorrectly shows 9 : 96 pm . what fraction of the day will the clock show the correct time?
1/2 fraction of the day will the clock show the correct time when it is supposed to display a 1 , it mistakenly displays a 9.
What is fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Here,
=2/3(1-15/60)
=2/3(3/4)
=2/4
=1/2
When the clock should be displaying a 1, but instead shows a 9, the correct time will be displayed for 1/2 of the day.
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Write an equivalent expression that uses only addition.
20−9+8−7
Answer:
2+1+3+2+1+3
Step-by-step explanation:
:)
Answer:
20 + -9 + 8 + -7
Step-by-step explanation:
A epression DOES NOT have a equal sign, =
20-9+8-7 = 12
20 + -9 + 8 + -7
to check -->
20 +-9 + 8 + -7
20 + -9 = 20 - 9 = 11
11 + 8 = 19
19 + -7 = 19 - 7 = 12
So therefor it would be
20 + -9 + 8 + -7
please answer quickly
1a. 10. 24
1b. 125/243
2a. 0. 0048
2b. 32/3125
3a. 0. 64
3b. 0. 0031
4a. 2/5
4b. 48. 735
5a. 2. 36
5b. 1. 39
How to determine the values
1a. Given the values
(2/5)^2/(1/2)^6
Multiply both the numerator and denominator by the powers
⇒ \(\frac{\frac{4}{25} }{\frac{1}{64} }\)
To find the common ration, multiply thus;
⇒ \(\frac{4}{25}\) × \(\frac{64}{1}\)
⇒ \(\frac{256}{25}\)
= 10. 24
1b. (5/7)^2 × (5/7)^1
= \(\frac{25}{49}\) × \(\frac{5}{7}\)
= \(\frac{125}{343}\)
= 125/243
2a. 0. 6^1 × 0. 2^3
= 0. 6 × 0. 008
= 0. 0048
2b. (2/5)^3 × (2/5)^2
= \(\frac{8}{125}\) × \(\frac{4}{25}\)
= \(\frac{32}{3125}\)
= 32/ 3125
3a. 1^99 - 0. 6^2
= 1 - 0. 36
= 0. 64
3b. (0. 2 ) ^1 × (1/8)^2
= 0. 2 × 1/64
= 0. 2 × 0. 016
= 0. 0031
4a. (1/2)^2/ (5/8)^1
= \(\frac{\frac{1}{4} }{\frac{5}{8} }\)
Take the inverse of the denominator
= \(\frac{1}{4}\) × \(\frac{8}{5}\)
= 2/5
4b. 7^2 - 0. 5^3
= 49 - 0. 125
= 48. 875
5a. 3^1 - 0. 8 ^2
= 3 - 0. 64
= 2. 36
5b. 0. 7^2 + 0. 9^1
= 0. 49 + 0. 9
= 1. 39
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Each month Emily checks her bank statement to make sure it is correct. Identify the error in the bank statement and calculate the new balance.
- Monday, August 13, 2018, Emily received a refund check for $42.73 that was deposited into her account
- Thursday, August 16, 2018, her paycheck of $973.80 was deposited into her account
- Friday, August 17, 2018 she ordered some new songs from iTunes for $25.25
- Monday, August 20, 2018 her mom told her to go to Walmart for groceries and she spent $98.34
through: (4, 5), parallel to y =1/4x - 4
Write the slope intercept form of the equation.
Answer:
y = 1/4x + 4
Step-by-step explanation:
y = mx + b
Since the lines are parallel, the slope is the same. m = 1/4
y = 1/4x + b
Substitute (4,5)
5 = 1/4(4) + b
5 = 1 + b
4 = b
The y-intercept is (0, 4).
y = 1/4x + 4
During a recent rainstorm, 8 centimeters of rain fell in Dubaku's hometown, and 2.36 centimeters of rain fell in Elliot's hometown. During the same storm, 15.19 centimeters of snow fell in Alperen's hometown.
Answer:
5.64 cm
Step-by-step explanation:
Required:How much more rain fell in Dubaku's town than in Elliot's town?
8 centimeters of rain fell in Dubaku's hometown
2.36 centimeters of rain fell in Elliot's hometown
We are asked to find how much more rain fell in Dubaku's town than in Elliot's town so it is calculated as the difference between the rain in both of there towns and is given by:
Difference in rain= 8-2.36
Difference in rain= 5.64 cm.
Therefore, 5.64 cm of more rain fell in Dubaku's town than in Elliot's town.
Answer:
5.64
Step-by-step explanation:
What is the slope of the line given by the equation y=-7X? O A 7 OB. 7 O c. -7 O D. 7
Answer:
C. -7
Step-by-step explanation:
See the picture for steps :)
1. 37.8 x 14 = ______ x 14 - 2.9 x 14
2. The average mass of all the students in the class was 35.1 kg. After 1 student left the class, whose mass is 32.3kg, the average mass of the remaining students became 36.3kg, how many students were there in the class room now?
Pls add explaination
Answer:
2
Step by step explanation:
Given: The average mass of all the students in the class was 35.1 kg. After 1 student left the class, whose mass is 32.3kg, the average mass of the remaining students became 36.3kg, how many students were there in the class room now?
Find out: how many students were there in the class room after one student left
Solution: Let the total number of remaining student be= n
Let the total number of remaining student be= nAnd the sum of mass of all the students be = x kg
So,
\( \frac{x}{n + 1} = 35.1\)
Make x the subject of formula
\(--› \: x = 35.1(n + 1)\)
And
\(--› \: \frac{x - 32.3}{n} = 36.3\)
\(--›x - 32.3= 36.3n\)
\(--› \: 35.1(n + 1) - 32.3 = 36.3n\)
\(--› \: 35.1n + 35.1 - 32.3 = 36.3n\)
\(--› \: 2.8 = 1.2n\)
divide both side by n
\(n = \frac{2.8}{1.2} \)
N = 2.333
so total number of students remaining is 2
Find the slope of the line.
Answer:
B
Step-by-step explanation:
divide them by 2
A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.2 centimeters in diameter. The variance of the bolts should be 0.025. A random sample of 15 bolts has an average diameter of 0.21 cm with a standard deviation of 0.1587. Can the manufacturer conclude that the bolts vary by more than the required variance at α=0.01 level? Step 1 of 5: State the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary. A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.2 centimeters in diameter. The variance of the bolts should be 0.025. A random sample of 15 bolts has an average diameter of 0.21 cm with a standard deviation of 0.1587. Can the manufacturer conclude that the bolts vary by more than the required variance at α=0.01 level? Step 2 of 5: Determine the critical value(s) of the test statistic. If the test is twotailed, separate the values with a comma. Round your answer to three decimal places. A bolt manufacturer is very concerned about the consistency with which his machines produce boits. The bolts should be 0.2 centimeters in diameter. The variance of the boits should be 0.025. A random sample of 15 bolts has an average diameter of 0.21 cm with a standard deviation of 0.1587. Can the manufacturer conclude that the bolts vary by more than the required variance at α=0.01 level?
To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).
Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.
Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).
If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.
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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).
Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.
Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).
If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.
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Solve the system using elimination. Show your work! (6 pts)
(7x + 10y = 11
(4x + 3y = -10
Answer:
x=-7
y=6
Step-by-step explanation:
7x+10y=11
4x+3y=-10
-3(7x+10y=11
10(4x+3y=-10
-21x-30y=-33
40x+30y=-100
19x = -133 (divide 19 on both sides)
x= -7
Now put the x in one of the original questions.
7(-7)+10y=11
-49+10y=11 (Add 49 to both sides)
10y=60 (Divide 10 on both sides)
y=6
Joey wants to save up enough money to buy a new baseball bat that costs $200. He already has $50. If Joey makes $40 per week, write an inequality that represents the number of weeks (w) until he will have enough money?
Answer:
50+40w=200
Step-by-step explanation:
200-50=150
150 divided by 40=3.75 so 3 1/2 weeks
A boy is launching a toy rocket he got for his birthday from the top of an 80 ft building. The function representing
the height is f(0) = -16x? +64x + 80 where x represents time in seconds.
How many seconds did it take the rocket to reach it's maximum height?
A
144 sec
B)
2 sec
Eliminate
1.5 sec
D)
128 sec
Answer:
2 seconds, assuming the "?" in the equation is supposed to be ^2 (the exponent of 2): f(h) = -16x^2 +64x + 80
Step-by-step explanation:
You can either graph the functuion or take the first derivative to find the maximum height. The first derivative will give us the slope for a values of x. The slope at the top height of the rocket is zero, since it has stopped and is starting it's way back down.
First Derivative:
f(x) = -16x^2 +64x + 80
f'(x) = -32x + 64
Set this equal to zero and solve for x
0 = -32x + 64
x = 2 seconds.
Use 2 seconds in the original equation to find the height at 2 seconds.
f(2) = -16x^2 +64x + 80
f(2) = -16(2)^2 +64*(2) + 80
f(2) = 144 feet
Graph:
A graph is attached. You can locate the maximum at (2,144)
Troy drives 65 miles west and then drives 72 miles north. How far is he from his starting point?
Answer:
132 miles away from the start
Step-by-step explanation:
First Troy went to the left 65 miles so he starts off 65 miles from the start then he goes 72 miles right so then he is 132 miles away
In an auditorium but there are 18 seats in the first row and 25 seats in the second row. The number of seats in a row, n, continues to increase by 7 with each additional row.
Write an iterative rule, a_n, to model the sequence formed by the number of seats in each row.
Enter your answer in the box.
a_n=
Use the rule to determine which row has 102 seats
Enter your answer in the box to correctly complete the sentence.
Row (blank) has 102 seats.
An iterative rule, aₙ to model the sequence formed by the number of seats in each row is: aₙ = 7n + 11
The row that has 102 seats is: 13th row
How to find the arithmetic sequence?The general formula to find the nth term of an arithmetic sequence is:
aₙ = a + (n - 1)d
where:
a is first term
d is common difference
n is position of term
We are given:
First row = 18 seats
Second row = 25 seats
Common difference = 7
Thus:
aₙ = 18 + (n - 1)7
aₙ = 18 + 7n - 7
aₙ = 7n + 11
The row that has 102 seats is:
102 = 7n + 11
7n = 102 - 11
7n = 91
n = 91/7
n = 13
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What is. 3(2x-1)-4x=9+4x
I give brainliest!
if you throw a pair of six-sided diced with the faces numbered 1 to 6, what is the probability that the sum of the two faces adds to 5?
1/12 is the probability that the sum of the two faces adds to 5 .
What does the math term "probability" mean?
The simple definition of probability is the likelihood that something will occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out.
Statistics describes the examination of events subject to probability.
It is because there are total of 3 pairs possible where addition of number face adds to 4.
The pairs are (2,2), (1,3), (3,1).
The total outcomes possible(sample space) is 36.
Hence probability is 3/36, that is, 1/12
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Game designers are testing two versions of the same video game. In the first version, the on-screen character begins in the center of the screen and moves −3 pixels lower each time players hit the down button. In the second version, the character's vertical position, v, is shown by the equation v = −5x + 1,136, where x is the number of times the player has pressed the down button. The number 1,136 shows that the character starts at the top of the screen, which is 1,136 pixels high. In which version of the game does hitting the down button have a greater effect? Complete the explanation.
the answer is v= -5x + 1136
what are the coordinates of the top right corner of the screen?
The coordinates of the top right corner of the screen (1280, 720).
The coordinates usually consist of two or three values, depending on whether you're working with a two-dimensional or three-dimensional system.
To answer your question, we need to know which coordinate system we're using. In this case, we're assuming that we're dealing with a two-dimensional system, which means that we only need to specify two coordinates: the x-coordinate and the y-coordinate.
The top right corner of the screen is located at a specific position that can be determined by measuring the distance from the origin (usually the bottom left corner) to that point. If we assume that the origin is located at (0, 0), then we need to find the x and y values that correspond to the top right corner.
The x-coordinate of the top right corner depends on the width of the screen, which can vary depending on the device you're using. For example, if the width of the screen is 1280 pixels, then the x-coordinate of the top right corner would be 1280.
The y-coordinate of the top right corner also depends on the height of the screen, which again can vary depending on the device. If the height of the screen is 720 pixels, then the y-coordinate of the top right corner would be 720.
Therefore, the resulting coordinates would be (1280, 720).
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B Which of the statements is true about the polygons below E D 120 degrees C 90 90 60 60 120 degrees 90 90 F D Polygon A Polygon B A. It is possible to circumscribe a circle around each polygon because they are both quadrilaterals. B. It is not possible to circumscribe a circle about either polygon because they are both quadrilaterals. C. It is possible to circumscribe a circle about the parallelogram on the left only, because opposite angles must be supplementary D. It is possible to circumscribe a circle about the rectangle because its opposite angles are supplementary
Answer:
hope you can understand
Find the surface area of the rectangular prism
Answer:
185.68 cm3
Step-by-step explanation:
SA = 2 (L x W) + 2 (L x H) + 2 (W x H)
= 2 (8.2 x 3.4) + 2 (8.2 x 5.6) + 2 (3.4 x 5.6)
= 2 (27.88) + 2 (45.92) + 2 (19.04)
= 55.76 + 91.84 + 38.08
SA = 185.68 cm3
height is an example of a variable that uses the _____ scale.
Height is an example of a variable that uses the ratio scale.
Hence, option (a) is the correct choice.
Weight, height, and distance are all ratio variables. The ratio scale allows you to add, subtract, divide, and multiply data. Ratio scales are further distinguished from interval scales by the presence of a 'true zero'.
Height is an excellent example of a measuring scale based on a ratio. It is not nominal or ordinal since each change in the height unit (inches, metres, feet, etc.) has a standard distance between them, and it is not interval because height has a genuine zero.
Height, for example, is ratio data. There is no such thing as negative height. If the height of an item is 0, there is no object. This is not the same as talking about temperature.
The complete question should be:
Height is an example of a variable that uses the scale.
a. ratio b. interval c. nominal d. ordinal
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