Collect data from all your family members and write down their heights (in cm).

96, 132, 159, 164, 176

Represent the data in a frequency table.

Find the following. i. Mode 11. Mean iii. Median iv. Range​

please help me

Answer:

see explanation

Step-by-step explanation:

Consider the difference between consecutive y values.

There is a difference of 3 between them, that is

0 - (- 3) = 3 - 0 = 6 - 3 = 9 - 6 = 3

This indicates there is a relationship between input and output

To obtain the output, multiply the input by 3 and subtract 9

This relationship can be expressed as

y = 3x - 9

Answer:

y = 3x - 9.

Step-by-step explanation:

The values of y increase by 3 for every increase of 1 in x.

This is an arithmetic sequence  and when x = 1, y = -6.

The relationship is

y = -6 + 3(x - 1)

y = 3x - 6 - 3

y = 3x - 9.

The term you are looking for is the empirical rule, also known as the 68-95-99.7 rule. To determine the number of cycles a sine function has in the interval from 0 to 2π,

we need to look at the coefficient in front of the angle variable (in this case, ∅). This rule states that for data sets having a distribution that is approximately bell-shaped, about 68% of all data values fall within one standard deviation from the mean.

In other words, if the data follows a normal distribution, about 68% of the data points will fall within one standard deviation of the mean.

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For data sets having a distribution that is approximately bell-shaped, the Empirical Rule states that about 68% of all data values fall within one standard deviation from the mean.

Let's break it down step by step:

1. The Empirical Rule applies to data sets that have a bell-shaped distribution, also known as a normal distribution. This distribution is symmetrical and has a characteristic bell-shaped curve.

2. The Empirical Rule states that approximately 68% of the data values in a normal distribution fall within one standard deviation from the mean.

3. The mean is the average value of the data set, while the standard deviation measures the spread or dispersion of the data points around the mean.

4. To visualize this, imagine a bell-shaped curve. Approximately 68% of the data values lie within one standard deviation of the mean, which means they are relatively close to the average value.

5. The remaining percentage of data values, approximately 32%, is divided equally on both tails of the bell-shaped curve, beyond one standard deviation from the mean.

Overall, the Empirical Rule helps us understand the distribution of data in a normal distribution and provides valuable information about how data values are spread around the mean.

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Answer:

The correct statment is B.

Step-by-step explanation:

A. is not correct:  y = 2.4(30) - 1.8 does not equal 70...

B. Is correct because the slope is 2.4 From the equation

C. is not correct because the points have no 2.4 (maybe 2.2)? difference.

D. is not correct. the correlation isn't positive.

Answer:

14

Step-by-step explanation:

Simplify the following:

5 - 2×9 + 9^2/3

Hint: | Evaluate 9^2.

9^2 = 81:

5 - 2×9 + 81/3

Hint: | Reduce 81/3 to lowest terms. Start by finding the GCD of 81 and 3.

The gcd of 81 and 3 is 3, so 81/3 = (3×27)/(3×1) = 3/3×27 = 27:

5 - 2×9 + 27

Hint: | Multiply -2 and 9 together.

-2×9 = -18:

5 + -18 + 27

Hint: | Evaluate 5 + 27 using long addition.

| 1 |  

| 2 | 7

+ | | 5

| 3 | 2:

32 - 18

Hint: | Subtract 18 from 32.

| 2 | 12

| 3 | 2

- | 1 | 8

| 1 | 4:

Answer: 14

Answer:

y = -3/4x -5

Step-by-step explanation:

The slope always goes first, then  variable x and the y intercept comes last

Answer:

I think it like this .........

Answer:

(3, 6 )

Step-by-step explanation:

Given the 2 equations

y = 5x - 9 → (1)

y = x + 3 → (2)

Substitute y = 5x - 9 into (2)

5x - 9 = x + 3 ( subtract x from both sides )

4x - 9 = 3 ( add 9 to both sides )

4x = 12 ( divide both sides by 4 )

x = 3

Substitute x = 3 into either of the 2 equations and evaluate for y

Substituting into (2)

y = 3 + 3 = 6

solution is (3, 6 )

The slope of the line y-10= -4/3(x+8), x-intercept (x,y) = (−2.5,0),  y-intercept (x,y) = (0,6), the midpoint of the segment AB is (-5,6) and the length of the segment AB is 10 units.

Given points A(-8, 10) and B(-2, 2).

Slope of line passing through A and B will be calculated using slope formula.

Slope formula is given as : y₂ - y₁/ x₂ - x₁

Where y₂ is the second y-coordinate, y₁ is the first y-coordinate, x₂ is the second x-coordinate, and x₁ is the first x-coordinate

(a) Slope of the line that contains A and B is calculated as shown below:

Slope (m) = y2 - y1 / x2 - x1 = 2 - 10 / -2 - (-8) = -8 / 6 = -4 / 3

(b) Equation of the line that passes through A and B is calculated using point slope form.

Point slope form is given as: y - y1 = m (x - x1)

Where m is the slope and (x1, y1) is the point.

(i) Substituting A = (-8, 10) and m = -4 / 3y - 10 = -4/3 (x + 8)

(ii) Intercepts x-intercept: For x-intercept, substitute y = 0 in the equation of line

(iii) y-intercept: For y-intercept, substitute x = 0 in the equation of line

(c) Midpoint of the segment AB will be calculated using midpoint formula.

Midpoint formula is given as:

Midpoint = ( (x1 + x2) / 2 , (y1 + y2) / 2 )

Substituting A = (-8, 10) and B = (-2, 2)

Midpoint = ( (-8 + (-2)) / 2 , (10 + 2) / 2 )= (-5, 6)

(d) Length of the segment AB will be calculated using distance formula.

Distance formula is given as: d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Substituting A = (-8, 10) and B = (-2, 2)d = √[(-2 - (-8))² + (2 - 10)²]= √[6² + (-8)²]= √(100)= 10 units

Therefore, the slope of the line that contains A and B is -4/3, an equation of the line that passes through A and B is y-10= -4/3(x+8), x-intercept (x,y) = (−2.5,0),  y-intercept (x,y) = (0,6),  the midpoint of the segment AB is (-5,6) and the length of the segment AB is 10 units.

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Answer:

Step-by-step explanation:

d

Answer:

D

Step-by-step explanation:

BRAINLIEST

Answer:

x=2

Step-by-step explanation:

7x=14

divide by 7 on each side to get x by itself

x=14/7

x=2

Answer:

Step-by-step explanation:

Aaahhhhh!!! Ja haw has b ha HA n zzz's

In the equation of exchange if m increases, but velocity and quantity are constant the price level must increase.

Therefore, in the equation of exchange if m increases, but velocity and quantity are constant the price level must increase.

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In constructing 95% confidence intervals for the difference in means, we expect that, over the long run, the correct answer will be option A, i.e., % of the time, the difference in population means will fall inside the confidence interval.

Confidence intervals are a statistical tool used to estimate population parameters based on sample data. In constructing a 95% confidence interval, we expect that in 95% of all possible samples, the true population parameter will fall within the calculated interval. In other words, if we were to repeat the sampling process many times and construct a confidence interval for each sample, we would expect that about 95% of these intervals would contain the true population parameter. Therefore, we can say that there is a 95% probability that the true population parameter lies within the calculated interval. For the difference in means, this means that there is a 95% chance that the true difference in population means falls within the confidence interval, and only a 5% chance that it falls outside the interval.

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The correct answer is option (D) "The graph shifts 7 units right and 8 units down".Explanation:To solve the given question, we need to use the rules for vertical and horizontal shifts, which are as follows:

Vertical Shift: y=f(x)+a moves the graph of f(x) upward if a > 0 and downward if a < 0.Horizontal Shift: y=f(x+a) moves the graph of f(x) left if a > 0 and right if a < 0.Now, let's transform the function f(x) into function g(x) and determine the shift required.The transformation of f(x) to g(x) is: g(x) = f(x - a) + bwhere a = horizontal shift and b = vertical shiftThe equation of the given functions is:f(x) = 1/(x − 2) and g(x) = 1/(x^(5/9))Let's set the equation of function f(x) in the standard form:y = 1/(x - 2)and the equation of function g(x) in the standard form:y = 1/(x^(5/9))

Now, we can observe that:To transform the graph of f(x) onto the graph of g(x), we need to shift the graph of f(x) right by 7 units and down by 8 units, which is given in option (D).Hence, the correct option is (D) "The graph shifts 7 units right and 8 units down".

The graph shifts 7 units right and 8 units down is the statement that describes the transformation of the graph of function f onto the graph of function g.Conclusion:Thus, we have determined the correct answer with an explanation and concluded that the correct option is (D) "The graph shifts 7 units right and 8 units down".

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Answer

he would have gotten a marry Christmas

Step-by-step explanation:

also hope you have a good day

Answer:

143°

Step-by-step explanation:

The sum of angles in a triangle should be 180, so ∠1 = 180-53-90 = 37.

∠1 and ∠3 should add up to 180, so ∠3 must be 180-37 = 143.

Answer:

143

Step-by-step explanation:

if m(1) = 53

in triangle EDF , all angles sum is 180

90 +  53 + m(2) = 180

m(2) = 180-143

= 37

m(2) + m(3) = 180 as it is straight line

m(3) = 180 - 37

= 143

Answer:

$7.88 i believe

Step-by-step explanation:

Answer:

What you chose is correct.

Step-by-step explanation:

5+1=6

3+1=4

6 chicken sandwichea and 4 veggie sandwiches

W and is orthogonal to all vectors in W except itself, we have shown that any vector in Rn can be written as a linear combination of the n non-zero orthogonal vectors that span W, and hence W=Rn.

To show that W=Rn, we need to show that any vector in Rn can be written as a linear combination of the n non-zero orthogonal vectors that span W.

Let v be any vector in Rn. Since the n non-zero orthogonal vectors span W, we can write v as a linear combination of them:

v = c1v1 + c2v2 + ... + cnvn

where c1, c2, ..., cn are scalars, and v1, v2, ..., vn are the n non-zero orthogonal vectors that span W.

To show that v is in W, we need to show that v is orthogonal to all vectors in W except itself. Since the n non-zero orthogonal vectors are linearly independent, any linear combination of them that is orthogonal to v must be the zero vector.

Therefore, if w is any vector in W that is not equal to v, we have:

=  = c1 + c2 + ... + cn = 0

since v is orthogonal to all the non-zero orthogonal vectors. This means that v is orthogonal to all vectors in W except itself.

Therefore, since v is in W and is orthogonal to all vectors in W except itself, we have shown that any vector in Rn can be written as a linear combination of the n non-zero orthogonal vectors that span W, and hence W=Rn.

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Answer:

Step-by-step explanation:

100 is the starting area of the paper

1/2 is how it is folded each time

The probability of mission success if at least 11 of the 16 patrol boats must operate for the duration of the 20-hour mission if each boat has a failure rate of 1 failure per 100 hoursis 99.5%. Hence, the correct option is (A).

To determine the probability of mission success, we'll need to calculate the probability of failure for each boat and then use the binomial probability formula.

Here are the steps:

1. Calculate the probability of failure for each boat during the 20-hour mission: Since each boat has a failure rate of 1 failure per 100 hours, the probability of failure for each boat in 20 hours is 20/100 = 1/5 or 0.2.

2. Calculate the probability of success for each boat: The probability of success for each boat is 1 - probability of failure = 1 - 0.2 = 0.8.

3. Use the binomial probability formula to find the probability of at least 11 boats operating successfully:
P(X ≥ 11) = 1 - P(X ≤ 10), where X is the number of successful boats.

4. Calculate P(X ≤ 10) using the binomial probability formula:

P(X ≤ 10) = ∑[C(16, k) × (0.8)^k × (0.2)^(16-k)], where k ranges from 0 to 10, and C(16, k) is the binomial coefficient or the number of ways to choose k successes from 16 boats.

5. Calculate 1 - P(X ≤ 10) to get the probability of mission success.

After performing the calculations, the probability of mission success is found to be approximately 99.5%, which corresponds to option A.

So, the probability of mission success, given that at least 11 of the 16 patrol boats must operate for the duration of the 20-hour mission and each boat has a failure rate of 1 failure per 100 hours, is approximately 99.5%.

Hence, option (A) is correct.

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To find the equation of a parabola given the focus and directrix:

1. Find the vertex using the midpoint between the focus and the directrix.

2. Determine the distance between the vertex and the focus (p).

3. Write the equation of the parabola based on the orientation (upward/downward or left/right) using the vertex and the value of p.

To find the equation of a parabola, we need to identify the vertex, the distance from the vertex to the focus (p), and the orientation of the parabola. The focus and directrix provide us with the necessary information. First, we find the vertex by finding the midpoint between the focus and the directrix. The vertex is equidistant from the focus and the directrix. Next, we determine the distance between the vertex and the focus, which is denoted as p. This distance is the focal length of the parabola. Finally, based on the orientation of the parabola (upward/downward or left/right), we can write the equation of the parabola using the vertex and the value of p. By following these steps, we can find the concise equation of the parabola given the focus and directrix.

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Answer: \(y-2=3(x-4)\\y=3x-12+2\\-3x+y=-10\\3x-y=10\)

Step-by-step explanation:

I showed the steps to find the equation. In case you need to know, I used point-slope form, which involves using the formula y-y1=m(x-x1), in which you use a point like (4,2) and the slope, which we know is 3x since it's parallel to the original line. Simplifying and bringing it to standard form such as Ax+By=C. Ax has to be positive, which is why -3x went to positive, and y and -10 switched signs.

Answer:

y= 1x+6

Step-by-step explanation:

The required z-score is -0.5 and the probability that the firm WILL have a negative EPS is 30.85%.

Firm has a loss level EBIT of $175m and an expected EBIT of $200m with a standard deviation of $50m.

Z-score = (EBIT - Expected EBIT) / Standard deviation= (175 - 200) / 50= -0.5

Probability of having a negative EPS:

To find the probability that the firm will have a negative EPS, we need to find the area to the left of Z-score. As the Z-score is negative, we will be finding the left-tail probability using the standard normal table from the link below:

The area to the left of Z-score (0.5) is 0.3085 or 30.85%.

Therefore, the probability that the firm WILL have a negative EPS is 30.85%.

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If the degree of freedom is 24, your sample size when conducting a t-test for dependent means must be 25. Option C is the correct answer.

The sample size when conducting a t-test for dependent means depends on the specific study design and the level of significance desired, and cannot be determined solely based on the degrees of freedom.

However, if we assume that the sample size is equal for both groups, then the formula to calculate the degrees of freedom for a t-test for dependent means is:

df = n - 1

Where "n" is the number of pairs of observations in the sample.

Therefore, if the degree of freedom is 24, then the number of pairs of observations in the sample would be:

n = df + 1 = 24 + 1 = 25

Hence, the answer is 25.

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