Answer:
To calculate how many standard deviations away from the mean an ACT score of 31 is, we need to use the formula:
z = (x - μ) / σ
Where:
x = ACT score of 31
μ = mean of ACT scores (28)
σ = standard deviation of ACT scores (2)
z = number of standard deviations away from the mean
Substituting the values, we get:
z = (31 - 28) / 2
z = 1.5
Therefore, an ACT score of 31 is 1.5 standard deviations away from the mean.
what two numbers multiply to 21 and add to -10
Answer: brainliest ?
-3 and -7
Step-by-step explanation:
Jenae wants to buy a fuel-efficient car. She finds one that can travel 500 miles on one tank of gas. If the gas tank holds 16 gallons, calculate the miles per gallon.
Solve and simplify your answer.
6/7 + 1/8
Answer: 41/56
Step-by-step explanation:
first you would try to find a common denominator (or LCM) in this case, its 56 so the revised question is 48/56+7/56 because you have to change the numerator as well. if you subtract the numerators it is 41. so its 41/56. 41/56 is already in its simplest form, so the answer is 41/56
The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.
Which drive-thru typically has more wait time, and why?
Burger Quick, because it has a larger median
Burger Quick, because it has a larger mean
Super Fast Food, because it has a larger median
Super Fast Food, because it has a larger mean
The drive-thru that typically has more wait time is
Burger Quick, because it has a larger median.
Option A is correct.
How do we calculate?Because Burger Quick's box plot displays a higher interquartile range (from 9.5 to 24) than Super Fast Food (from 8.5 to 15.5), Burger Quick often has longer wait times.
Additionally, Burger Quick's median (15.5) is greater than Super Fast Food's median (12), demonstrating that Burger Quick's middle value of reported wait times is higher than Super Fast Food's middle value of reported wait times.
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For which distributions is the median the best measure of center?
Select each correct answer.
hurry pls
The 1st and the 3rd are the distributions where the median the best measure of center
What is meant by medianThe median represents the central value in a dataset that is organized in ascending or descending order. If there are an even number of data points, the median can be calculated as the mean of the two middle values.
This method is much less prone to influence by extreme values when compared to other methods such as the mean. Hence, it is considered a more reliable measure of center particularly for datasets with outliers.
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One of the legs of a right triangle measures 16 cm and the other leg measures 2 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
[tex]2\sqrt{65}[/tex] cm, decimal form is about 16.1 cm
Step-by-step explanation:
Use the pythagorean theorem:
A^2 + B^2 = C^2
A and B are legs, c is hypotenuse
First leg is 16, second leg is 2
Plug it in:
16^2 + 2^2 = hypotenuse^2
256 + 4 = hypotenuse ^2
260 = h^2
[tex]\sqrt[2]{260}[/tex] = h
To simplify the square root of 260, we can factor 260 into its prime factors:
260 = 2 x 2 x 5 x 13
Then, we can take out the pairs of identical factors from under the square root symbol:
sqrt(260) = sqrt(2 x 2 x 5 x 13)
= sqrt(2 x 2) x sqrt(5) x sqrt(13)
= 2sqrt(65)
[tex]2\sqrt{65}[/tex]
Answer:
16.2 or 16.00
Step-by-step explanation:
Leg #1 --->16
Leg #2 --->2
C ---> hypotenuse
16.12452---->16.12
16.12 rounded to the nearest tenth is 16.00
Question 6(Multiple Choice Worth 2 points)
(Comparing Data LC)
The histograms display the frequency of temperatures in two different locations in a 30-day period.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. A shaded bar stops at 10 above 60 to 69, at 9 above 70 to 79, at 5 above 80 to 89, at 4 above 90 to 99, and at 2 above 100 to 109. There is no shaded bar above 110 to 119. The graph is titled Temps in Sunny Town.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 16. A shaded bar stops at 2 above 60 to 69, at 4 above 70 to 79, at 12 above 80 to 89, at 6 above 90 to 99, at 4 above 100 to 109, and at 2 above 110 to 119. The graph is titled Temps in Desert Landing.
When comparing the data, which measure of center should be used to determine which location typically has the cooler temperature?
Median, because Desert Landing is symmetric
Mean, because Sunny Town is skewed
Mean, because Desert Landing is symmetric
Median, because Sunny Town is skewed
After comparing the data, a measure of variability for both sets of data to be utilised to find the place with the most stable temperature: C. Range, because Sunny Town is skewed.
What exactly is skewness?Skewness is a measure of the asymmetry of a box plot (box-and-whisker plot) or histogram in mathematics, and as such, a box plot (box-and-whisker plot) or histogram has a normal distribution when it is symmetrical.
We may rationally establish that Sunny Town's box plot (box-and-whisker plot) is distorted by closely inspecting it.
Conversely, the Desert Landing box plot (box-and-whisker plot) is symmetrical (vertical line dividing the box into two equal halves), which simply means that both whiskers on either side of the box plot (box-and-whisker plot) are roughly equal and symmetric.
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can someone show me step by step only and correctly
A cylinder has the net shown.
net of a cylinder with diameter of each circle labeled 3.8 inches and a rectangle with a height labeled 3 inches
What is the surface area of the cylinder in terms of π?
40.28π in2
22.80π in2
18.62π in2
15.01π in2
Answer:
18.62π square inches
Step-by-step explanation:
To find the surface area of the cylinder, we need to find the area of each of its components and add them together. We can use the net of the cylinder to visualize its components and dimensions.
First, let's find the area of the top and bottom circles. We know the diameter of each circle is 3.8 inches, so the radius is half of that, or 1.9 inches. The formula for the area of a circle is A = πr^2, so:
A(top and bottom circles) = 2π(1.9 in)^2
= 2π(3.61 in^2)
= 7.22π in^2
Next, let's find the area of the curved surface of the cylinder. The height of the cylinder is labeled as 3 inches, which is also the height of the rectangle in the net. The length of the rectangle is the circumference of one of the circles, which is πd (where d is the diameter). So:
length of rectangle = π(3.8 in) = 11.96 in
The formula for the area of the curved surface of a cylinder is A = 2πrh, where r is the radius and h is the height. We can use the radius we found earlier and the height of 3 inches to calculate the area of the curved surface:
A(curved surface) = 2π(1.9 in)(3 in)
= 11.4π in^2
Finally, we can add the areas of the top and bottom circles and the curved surface to get the total surface area of the cylinder:
Total surface area = A(top and bottom circles) + A(curved surface)
= 7.22π in^2 + 11.4π in^2
= 18.62π in^2
Therefore, the surface area of the cylinder in terms of π is 18.62π square inches.
GUYS I NEED HELP ASAP IF YOU HELP I WILL GIVE 15 POINTS
Shelley invested some money in an account that will mature in one year. If Shelley withdraws the money after the maturity date, she will receive her initial investment plus 15%, but if she withdraws her money now, she will only be able to withdraw 80% of what she put into the account.
Shelley put $317 into the account initially. How much of her initial investment will she lose if she withdraws her money now?
Answer: $63.40
Step-by-step explanation:
She starts out with $317 but she will only get 80% which means she will lose 20%
100%-80%=20%
take 20% of 317
.2 x 317 convert 20% to decimal by moving decimal twice and multiply
=63.4
She will lose $63.40
Reason:
If she withdraws early, she can only withdraw 80% of what she put in. She takes a 20% penalty.
20% of 317 = 0.20*317 = 63.40 dollars is how much she loses.
Put another way:
She is able to withdraw 0.80*317 = 253.60 dollars if doing so early. She lost 317-253.60 = 63.40 dollars
A rectangle is 21 meters long and I1 meters wide
The area of the rectangle is 231 square meters.
Calculating the areaTo find the area of a rectangle, we need to multiply its length by its width.
Given that the length of the rectangle is 21 meters and the width is 11 meters, we can find the area as:
Area = Length x Width
Area = 21 meters x 11 meters
Area = 231 square meters
Therefore, the area of the rectangle is 231 square meters.
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Rewrite 10 to the 32 power times 10 to the 6
Answer:
[tex] {10}^{32} {10}^{6} = {10}^{38} [/tex]
pls explain how to do this math and answer it pls
Answer: A.
Step-by-step explanation: It is parallel because of the angles that are the same and if u fill all the angles up angles 2 and 6 will be congruent there fore its parallel
Answer:
A. Yes, because angles 2 and 6 are congruent.
Step-by-step explanation:
The lines arent touching, parallel. Angles 2 and 6 share the same angle, congruent.
a store is having a contest. the person who draws a pink tag from a box of tags will get a store coupon will increase in value each day the pink tag is not drawn
Let's say that the store starts with a coupon value of x. On the first day, the probability of drawing the pink tag is 1/n, where n is the total number of tags in the box.
Define probability.Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain. Probabilities can be expressed as fractions, decimals, or percentages.
what do you mean by coupon?A Coupon refers to a discount or a voucher that can be redeemed for a specified value or product at a store or business.
If the tag is not drawn, the probability of drawing it on the second day is 1/(n-1), since there is one less tag in the box. If the tag is not drawn on the second day, the probability of drawing it on the third day is 1/(n-2), and so on.
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dont understand what m supposed to do at the radius = diameter/2 part
Step-by-step explanation:
Radius simply means half of the diameter. In other words radius is the distance between the center of the circle to the outside of the circle
A teacher surveyed her class after they had taken a vocabulary test. Eighteen of the students claimed they had studied
at least one hour for the test. The remaining twelve students admitted that they had not studied for the test at all. The
test results (expressed as a percent) for the two groups are shown below.
Studied: 88, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 84
Did Not Study: 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89
1. Calculate the range and Interquartile range for each set of data.
2. Using complete sentences, compare the data sets based on your results in part A.
NEED THIS ASAP PLEASE
Select the correct answer.
The graph of function f is shown.
Function g is represented by the equation.
g(x) = 4(1/4)^x +2
Which statement correctly compares the two functions?
A. They have different y-intercepts but the same end behavior.
B. They have different y-intercepts and different end behavior.
C. They have the same y-intercept and the same end behavior.
D. They have the same y-intercept but different end behavior.
Answer:
A. They have different y-intercepts but the same end behavior.
Step-by-step explanation:
From the shape of f we see that its a descending exponential fnction, so the factor taken to the power x will be a fraction, and from the points the eqation is
f(x) = 2(1/4)^x + 2
and the y-intercept is 4
g(x) has y-intercept of 4(1/4)^0 + 2 = 6 so they are different.
As x approaches infinity both f and g approach 2 so the end behavior s the same.
What is the equation of the line that is perpendicular to the given line and passes through the point (2, -2) and is perpendicular to the line represented by y=2/5x+2?
The equation of line passes through the point (2, -2) and is perpendicular to the line represented by y=2/5x+2 is y = -5x/2+3
Given that a line is passing through the point (2, -2) and is perpendicular to the line y = 2x/5+2, we need to find the equation of the line,
The equation of line is, y = mx + c, where m is the slope,
So, we know that the slopes of the perpendicular lines are negative reciprocal of each other,
So, the slope of the required line is -5/2.
Therefore, the equation will be
y = -5x/2 +c
To find c put x = 2, y = -2
-2 = -5(2)/2 + c
-2 = -5 + c
c =3
Hence, the equation is, y = -5x/2+3
Therefore, the equation of line passes through the point (2, -2) and is perpendicular to the line represented by y=2/5x+2 is y = -5x/2+3
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help me solve this question fast
Answer:
This is a geometric series with first term 1/4 and common ratio 1/4. So the sum of this series is:
[tex] \frac{ \frac{1}{4} }{1 - \frac{1}{4} } = \frac{1}{4} \div \frac{3}{4} = \frac{1}{4} \times \frac{4}{3} = \frac{1}{3} [/tex]
Convert the following percents to decimals.
.825% =
Answer:
0.00825
Step-by-step explanation:
Move the decimal point two places to the left to go from a percentage to a decimal.
If a student pulls out a jellybean without looking what is the probability that the jellybean will be yellow? 5/11 probability practice
Suppose you are given two ordered pairs A and B. Explain how to write the equation of a line parallel to AB through a given point.
Answer:
To write the equation of a line parallel to AB through a given point, you need to follow these steps:
1. Find the slope of line AB using the formula:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the given ordered pairs A and B.
2. Since the line you want to find is parallel to AB, it will have the same slope as AB.
3. Use the point-slope form of a linear equation to write the equation of the line. The point-slope form is:
y - y1 = m(x - x1)
where m is the slope you found in step 1, and (x1, y1) is the given point through which the line passes.
4. Simplify the equation by distributing the slope and combining like terms if necessary.
5. Your final equation should be in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
1 individuals in a tetrahybrid cross is AaB-bCcDd. Assuming independent assortment of these four genes, what are the probabilities that F2 offspring will have the following genotypes?
1. AABBCCDD: The probability of this happening is [tex]1/16[/tex], since each parent would need to contribute a dominant allele for each gene.
2. AABBCcDD: This genotype can be produced in two ways:
a) If both parents are homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D.
The probability of this happening is = 1/128.
b) If one parent is homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A and B, homozygous dominant for C, and heterozygous for D.
3. The probability of this happening is 1/32.
AaBbCcDd : The probability of this happening is 1/256.
4. aaBBCcDD - This genotype can be produced in two ways:
a) If both parents are homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D. The probability of this happening is 1/128.
b) If one parent is homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A, homozygous dominant for B, homozygous dominant for C, and heterozygous for D.
The probability of this happening is 1/32.
To solve this problem, we need to use the principles of probability and Punnett squares.
For a tetrahybrid cross, we need to consider the four genes independently and combine the probabilities of each gene's alleles.
Assuming that A, B, C, and D are dominant alleles, and a, b, c, and d are recessive alleles, we can create a Punnett square for each gene, which would look like this:
A | A | a | a
---|-----|-----|----
B | B | b | b
---|-----|-----|----
C | C | c | c
---|-----|-----|----
D | D | d | d
Each box in the Punnett square represents a possible combination of alleles from the two parents.
For example, the top-left box represents offspring that inherit an A allele from the mother and an A allele from the father.
We can use these Punnett squares to calculate the probabilities of each genotype in the F2 offspring.
AABBCCDD - This genotype can only be produced if both parents are homozygous dominant for all four genes.
The probability of this happening is [tex](1/2)^4 = 1/16[/tex] , since each parent would need to contribute a dominant allele for each gene.
AABBCcDD - This genotype can be produced in two ways:
a) If both parents are homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D.
The probability of this happening is[tex](1/2)^4 * 1/2 * (1/2)^3 = 1/128[/tex]
b) If one parent is homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A and B, homozygous dominant for C, and heterozygous for D.
The probability of this happening is[tex]2 * (1/2)^4 * 1/2 * 1/2 * 1/2 = 1/32[/tex]
AaBbCcDd - This genotype can be produced in 16 ways, since each gene can be inherited in two different ways (dominant or recessive).
The probability of this happening is [tex](1/2)^8 = 1/256.[/tex]
aaBBCcDD - This genotype can be produced in two ways:
a) If both parents are homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D. The probability of this happening is[tex](1/2)^4 * 1/2 * (1/2)^3 = 1/128.[/tex]
b) If one parent is homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A, homozygous dominant for B, homozygous dominant for C, and heterozygous for D.
The probability of this happening is [tex]2 * (1/2)^4 * 1/2 * 1/2 * 1/2 = 1/32.[/tex]
Note that we have assumed independent assortment of the four genes, which means that the inheritance of one gene does not affect the inheritance of another gene.
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Solve the system using elimination -6X = 18 - Y 9 = -3X - 8Y
The solution to the system by elimination is (-2, 4).
Solving the system using eliminationTo solve the system using elimination, we need to eliminate one of the variables by multiplying one or both of the equations by a constant.
-6X = 18 - Y
9 = -3X - 8Y
Rewrite as
-6X = 18 - Y
3X = 9 - 8Y
So, we have
-6X = 18 - Y
6X = 18 - 8Y
Now we can add this equations to the second equation to eliminate x:
0 = 36 - 9Y
This gives
9Y = 36
So, we have
Y = 4
Recall that
-6X = 18 - Y
So, we have
-6X = 18 - 4
So, we have
-6X = 12
Divide by 2
X = -2
Therefore, the solution to the system is (-2, 4).
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state the modal numbers
1,2,3,4,5,6,7
Answer:
there is no Modal number because all the numbers appears only once
HELP ASAP!!
Add. (5x + 8) + (2x + 5)
Answer:
7x + 13
Step-by-step explanation:
because the correct answer is 7x+13
residents of eastport are concerned about the number of drivers who speed when riving down main street a group of residents take turns observing the street each person spends one hour counting how many drivers speed and how obey the speed limit
Answer:in your mouth
Step-by-step explanation:
A-One Talent Agency has 109 clients. 46 of the clients play piano and 58 of the clients play guitar. 17 clients play both the piano and the guitar. How many of the clients do not play either instrument?
Number of clients who do not play either the piano or the guitar is 22
To find the number of clients who do not play either instrument, we need to subtract the number of clients who play either the piano or the guitar or both from the total number of clients.
Let A be the set of clients who play the piano, and B be the set of clients who play the guitar. Then, we can use the formula A union B
|A ∪ B| = |A| + |B| - |A ∩ B|
where |A ∪ B| is the number of clients who play either the piano or the guitar or both, |A| is the number of clients who play the piano, |B| is the number of clients who play the guitar, and |A ∩ B| is the number of clients who play both instruments
Substituting the given values, we get
|A ∪ B| = 46 + 58 - 17
|A ∪ B| = 87
Therefore, the number of clients who do not play either instrument is:
109 - 87 = 22
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What is limf(x) where f(x) is as shown in the table
As x approaches 2 from both sides, the values of f(x) do not approach a single value, and f(x) does not have a limit. The answer is option (d).
What is limit of a function?The calculus concept known as the limit of a function describes how a function behaves when the input variable approaches a particular value.
The phrase "lim f(x) as x approaches a" (or "limit of a function f(x) as x approaches a") describes what occurs to the output of the function when x approaches a value without actually reaching a.
The limit can be expressed in terms of two-sided, left-sided, or right-sided limits, depending on whether x approaches a from both sides, the left, or the right.
We must look at the values of f(x) as x approaches 2 in order to determine lim f(x) as x approaches 2.
Looking at the table, we can see that the values of f(x) rise from 3.99 to 4 as x approaches 2 from the left (that is, as x approaches 2 while remaining smaller than 2). The values of f(x) decline from -5 to -5.01 as x moves towards 2 from the right (that is, as x approaches 2 but staysgreater than 2).
The limit of f(x) as x approaches 2 does not exist because the values of f(x) do not approach a single integer as x approaches 2 from both sides.
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write the number six hundred and seven thousand five hundred and thirty-two in figures
Answer:
607,532
The number "six hundred and seven thousand five hundred and thirty-two" can be written in figures as 607,532.
i need help please help me
You can take a look at this, the image that I attached might help.
For example, the first one shifts left because the h value is positive 3. -(3) = -3.