15 + 20 equals to 35, 60 - 35 equals to 25 so so his total journey is 1 hour
And right triangle ABC shown, what is the length of AC?
A set of points graphed on a number line represents natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. What is the fewest number of distinct points that must be graphed? Complete the explanation. |
Answer:
2,irrational,2,irrational :)
Step-by-step explanation:
Answer: I think its a tell me if im wrong
Step-by-step explanation:
What are the x-intercepts of the function f(x)=−12(x−3)2+8?
Answer:
10/3
Step-by-step explanation:
\(x = \frac{10}{3} \)solve the system of equations by the substitution method y= 2x + 15y - 6x = 13
We are asked to solve a system of equations using the substitution method:
y = 2 x + 1
5 y - 6 x = 13
So we use the first equation as our substitution for "y", since we know that y is equal to "2 x + 1"
We use this expression in the second equation replacing "y":
5 (2x + 1) - 6 x = 13
and now we solve for the only unknown "x" that was left in the equation. We use distributive property to get rid of the parenthesis:
10 x + 5 - 6 x = 13
we combine the terms in x and subtract 5 from both sides:
4 x = 13 - 5
4 x = 8
x = 8/4
x = 2
Now we use this result in the first equation (our substitution equation):
y = 2 (2) + 1 = 5
therefore, x = 2 and y = 5 are the solutions to the system, also written in coordiate pair form as: (2, 5).
Natalie bought shares in a supermarkets chain in early 2018 for $21.11. She sold them later in the same year for $20 per share. What is her loss as a percent of the purchase price?
I believe it might be 1.11
please help me i need help on this question...
Answer:
is c
Step-by-step explanation:
because inches are very bing in cm
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Perform the indicated operation.
4x/5 ÷ 16/15x
The result of the division operation is (3/4). The reciprocal of a fraction is obtained by flipping the numerator and denominator.
To perform the division of (4x/5) ÷ (16/15x), we can simplify the expression by multiplying the numerator of the first fraction by the reciprocal of the second fraction.
The given expression can be rewritten as (4x/5) * (15x/16).
To simplify the expression further, we can cancel out common factors between the numerator of the first fraction and the denominator of the second fraction. In this case, we can cancel out a factor of 4 and a factor of 5, which leaves us with (x/1) * (3x/4).
Now we can multiply the numerators together and the denominators together, resulting in (3x^2/4).
Therefore, the final answer is (3x^2/4), or in fractional form, (3/4)x^2.
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Is the point (1,-4) a solution to the following system of equations? y=-4x y=x-5
Yes, the point (1, -4) is a solution to the given system of equations.
To determine if the point (1, -4) is a solution to the system of equations, we substitute the values of x and y into each equation and check if both equations are satisfied.
Given equations:
y = -4x ... (1)
y = x - 5 ... (2)
Substituting x = 1 and y = -4 into equation (1):
-4 = -4(1)
-4 = -4
The equation is true when x = 1 and y = -4 in equation (1).
Substituting x = 1 and y = -4 into equation (2):
-4 = 1 - 5
-4 = -4
The equation is also true when x = 1 and y = -4 in equation (2).
Since both equations are satisfied when x = 1 and y = -4, the point (1, -4) is indeed a solution to the given system of equations.
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If 107 votes are cast, what is the smallest number of votes a winning candidate can have in a four-candidate race that is to be decided by plurality
In a four-candidate race with 107 votes cast, the smallest number of votes a winning candidate can have is 28.
In a four-candidate race decided by plurality, the winning candidate is the one who receives the most votes, regardless of whether that number of votes constitutes a majority (more than 50%) of the total votes cast.
To determine the smallest number of votes a winning candidate can have in a four-candidate race with 107 votes cast, we can assume that the other three candidates each receive an equal number of votes, say x. Then, the winning candidate must receive more votes than each of the other three candidates.
So, the minimum number of votes the winning candidate can receive is x + 1.
The total number of votes cast in the election is:
x + x + x + (x + 1) = 4x + 1
Since we know that 4x + 1 = 107, we can solve for x:
4x + 1 = 107
4x = 106
x = 26.5
Since x must be a whole number, we can round up to x = 27.
Then, the minimum number of votes the winning candidate can have is:
27 + 1 = 28
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Answer this for me please! thanks very much <3
the answer is b lil boy ggggggg
Graph -2, 0.5, and 3 on a number line
Step-by-step explanation:
all you have to do is number the line from -5 to 5 and just plot the points next to it
What is 6 x 1/2 a.7/8 b. 6/2 c. 6/12 d. 7/2
Answer:
b.
Step-by-step explanation:
6 times 1/2 is the same thing as 6/1 times 1/2, which is 6/2.
Hope this helps.
Lines l and m are parallel.
Which statement is always true?
Group of answer choices
A 90° rotation will map line l onto line m.
Line l can be reflected over a horizontal line to map onto line m.
Line l can be reflected over a vertical line to map onto line m.
Line l can be translated to map onto line m.
Lines l and m are parallel; line l will map onto line m with a 90° rotation; line l can map onto line m with a vertical line of reflection.
Do you have any explanations as to why the lines L and m are parallel?L and m are not parallel because the sum of the co-interior angles on the same side of the transversal does not equal 180 degrees.In the event when two lines, l and m, are in the same plane but do not cross, they are said to be parallel.We are aware that the equivalent angles are equal if they are parallel and a transversal is drawn to intersect them both. Accordingly, these are x and y. As a result, we can conclude that x and y are equivalent if l and m are parallel.If two lines, l and m, are in the same plane and do not cross one another, then they are parallel.To learn more about Lines refer to:
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There are 25 sweets in a jar.
9 of the sweets are yellow.
Jamie takes at random a sweet from the jar.
(a) Write down the probability that the sweet is yellow.
The probability that the sweet is yellow will be;
⇒ 9 / 25
What is mean by Probability?The term probability refers to the likelihood of an event occurring.
Given that;
There are 25 sweets in a jar.
And, 9 of the sweets are yellow.
Now,
Since, Jamie takes at random a sweet from the jar.
Hence, The probability that the sweet is yellow = 9/25
= 0.36
Thus, The probability that the sweet is yellow = 0.36
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What is true about the dilation?
write an equation in slope-intercept form tha is parallel to y=4x-2 and has a y-intercept of -2
Answer:
y = 4x - 2
Step-by-step explanation:
Formula: y = mx + b
Parallel means same slope as original and b is -2.
What is the *like term* in 4x + 7 + 2y + 3x ?
Answer:
l think it is 7x+2y+7
Step-by-step explanation:
the like terms is 4x n 3x so plus them to get 7x n then right the rest of the equation
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Find the slope of each line.The line containing (-3,4) and (2,-6)
The slope of the line containing the points (-3,4) and (2,-6) is -2.
The slope represents the ratio of the vertical change (rise) to the horizontal change (run) between any two points on a line. In this case, we can use the formula for slope:
slope (m) = (y2 - y1) / (x2 - x1)
Substituting the coordinates (-3,4) for (x1, y1) and (2,-6) for (x2, y2), we have:
m = (-6 - 4) / (2 - (-3))
m = (-10) / (2 + 3)
m = -10 / 5
m = -2
Therefore, the slope of the line containing the points (-3,4) and (2,-6) is -2.
The slope of a line is a measure of its steepness or incline. It is determined by the ratio of the vertical change to the horizontal change between any two points on the line. The slope can be positive, negative, or zero, depending on whether the line is increasing, decreasing, or horizontal. A positive slope indicates an upward trend, a negative slope indicates a downward trend, and a slope of zero indicates a horizontal line.
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Gabriella wants to buy a car for $11,000, but can only get a loan from the bank for $8,690. What percentage does Gabriella have to put down in order to pay for the car?
Answer:
I'm sorry if you get it wrong but it's 11.33%
Step-by-step explanation:
I searched it up
you work at a relator firm and your boss asked to pull out information about houses sold in the last week, such as price, size, age, number of rooms, etc. what type of data is this? panel (longitudinal) data time-series data cross-sectional data none of the above all of the above
This type of data is cross-sectional data.
In statistics and econometrics, cross-sectional data, or a cross-section of a study population, is a type of data gathered by monitoring numerous subjects (such as individuals, firms, countries, or regions) at one point or throughout the course of time. It's also possible that the analysis disregards variations in time. Cross-sectional data analysis often entails contrasting the variations among pre-selected respondents.
Time series data, in which the same small-scale or aggregate entity is seen multiple times in time, differs from cross-sectional data. A different kind of data called panel data (also known as longitudinal data) combines the concepts of cross-sectional and time series data and examines how the topics (firms, people, etc.) develop throughout a time series. Panel data differs from cross-sectional data that has been pooled over time.
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what number will get you 21.51
Answer:
10.755
Step-by-step explanation:
10.755+10.755=21.51
Answer:
Step-by-step explanation:
a few examples
21 + 0.51
22 - 0.49
10.75 × 2
4.637^2
43.02 ÷ 2
etc....
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The expressions that can be used to determine the area of the rectangle are:
12 x 7
7 . 10 + 7 . 2
The expressions that can be used to determine the perimeter of the rectangle are:
2 x (12 + 7)
7 + 12 + 7 + 12
2 . 7 + 2 . 12
The expression that cannot be used to find either the area or the perimeter of a rectangle is: 7 + 12
What is the area and the perimeter of a rectangle?A rectangle is a 2-dimensional quadrilateral with four right angles that sum up to 360 degrees. A rectangle has two diagonals which bisect each other at right angles.
The area of a rectangle is the product of the width and the length.
Area of a rectangle = length x width
12 x 7 = 84 units²
7 . 10 + 7 . 2
70 + 14 = 84
The perimeter of a rectangle is the distance round the rectangle.
Perimeter of a rectangle = 2 x (length + width)
2 x (12 + 7)
2 x 19 = 38 units
7 + 12 + 7 + 12 = 38
2 . 7 + 2 . 12
14 + 24 = 38
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Jenny puts 8 stickers on each page of her notebook. She uses 72 stickers in
all. Which equation can be used to find the number of pages of stickers in
Jenny's notebook?
72 x 8=0
72 +8=0
72:8=0
72 -8=0
Done →
Answer:
72/8
Step-by-step explanation:
Answer:
72÷8
Step-by-step explanation:
To find the amount of pages with 8 stickers on it you must divide 72 by 8 giving you the correct amount of pages with 8 stickers
Seven add two take away three times four
( BODMAS)
(7+2)/ 3 x 4
9/3 x 4
3 x 4
= 12
Can someone please answer this question.
Use the Pythagorean theorem to solve for the diagonal distance
Diagonal = sqrt(50^2 + 150^2)
Diagonal distance = sqrt(25,000)
Diagonal distance = 158.11 feet
Round to 158 feet.
If the stayed on the sidewalk they would walk 50 + 150 = 200 feet.
The distance they saved = 200-158 = 42 feet
Answer: 42 feet.
The complex conjugates theorem states that
another factor of the polynomial is
Answer:
Step-by-step explanation:
...exactly the same but with a different sign separating them. For example, if a root of a polynomial is
3 + 4i, then the other root has to be 3 - 4i because they always come in pairs. Always!! If a root is -2 - 3i, then the other root has to be -2 + 3i. Notice that the only sign that will change is the one that separates the a part of the complex number from the b part.
This phenomenon also applies to radicals. If we have a root that is \(-3 + \sqrt{5}\)\(-3 +\sqrt{5}\) then the other root has to be \(-3 -\sqrt{5}\)
Answer:
x-3i
Step-by-step explanation:
a. 32
b. 44
c. 22
d. 8
Answer:
sorry I don't know
Step-by-step explanation:
.........
KLMN is a parallelogram. Find each measure
а
mZK
K
(7x + 12)
(4x + 3)
N
3
Answer:
Firstly, since KLMN is a parallelogram, side KL is parallel to NM, and KN is a transversal. By the Same-Side Interior Angle Theorem, we know that angles K and N sum up to 180 degrees. We can use this to form an equation where 7x + 12 + 4x + 3 = 180. Now we simplify this equation to 11x + 15 = 180. Now, we can subtract 15 from both sides of this equation and isolate the x variable by dividing both sides of this equation by 11, to get x = 11. Now we can substitute the value of x into our original expressions. So we get 7(11) + 12 = 89 and 4(11) + 3 = 36.
Step-by-step explanation:
Please support my answer.
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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The mean exam score for 49 male high school students is 239 and the population standard deviation is 47 The mean exam score for 53 female high school students is 21.1 and the population standard deviation is 4.3. At α=001, can you reject the claim that male and female high school students ha equal exam scores? Complete parts (a) through (e). Click here to view page 1 of the standard normal distribution table. Click here to view. page 2 of the standard normal distribution table. A. Male high school students have lower exam scores than female students B. Male and temale high school students have different exam scores. C. Male and female high school students have equal exam scores D. Male high school students have greater exam scores than female students
Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.
To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:
SE = sqrt((s1^2 / n1) + (s2^2 / n2))
Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:
SE = sqrt((47^2 / 49) + (4.3^2 / 53))
Next, we calculate the t-statistic using the formula:
t = (x1 - x2) / SE
Where x1 and x2 are the sample means. Plugging in the values, we have:
t = (239 - 21.1) / SE
We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.
In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.
Therefore, the correct answer is:
B. Male and female high school students have different exam scores.
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