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2 years ago

(08.04)The following data show the scores of some students in a competition:

Mathematics

2 answers:

Ira Lisetskai [31]2 years ago

8 0

Answer:

its A but its also B but its also C and its also D

Step-by-step explanation:

thank me later

mina [271]2 years ago

3 0

Answer:

A box plot titled Scores of Participants and labeled Scores uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 17 to 24 on the number line. A line in the box is at 23 The whiskers end at 12 and 28. explanation:

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A professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their class

KIM [24]

Answer:

We conclude that seniors skip more than 2% of their classes at 0.01 level of significance.

Step-by-step explanation:

We are given that a professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their classes.

He randomly samples a group of seniors and out of 2521 classes, the group skipped 77.

Let p = percentage of seniors who skip their classes.

So, Null Hypothesis, $H_0$ : p $\leq$ 2% {means that seniors skip less than or equal to 2% of their classes}

Alternate Hypothesis, $H_A$ : p > 2% {means that seniors skip more than 2% of their classes}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of seniors who skipped their classes = $\frac{77}{2521}$

n = sample of classes = 2521

So, test statistics = $\frac{\frac{77}{2521} -0.02}{{\sqrt{\frac{\frac{77}{2521}(1-\frac{77}{2521})}{2521} } } } }$

= 3.08

The value of the test statistics is 3.08.

Now at 0.01 significance level, the z table gives critical value of 2.3263 for right-tailed test. Since our test statistics is more than the critical value of z as 2.3263 < 3.08, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that seniors skip more than 2% of their classes.

6 0

3 years ago

The area of a mirror is 225 square inches, and its width is 13 3/4 inches. Will the mirror fit in a space that is 15 inches by 1

gavmur [86]

If you multiply length times width to get area, it's the same with division. You do area divided by length or width. The equation would be 225 divided by 13 3/4. 225/13 3/4= 16.36 inches. 16.36 > 16 inches, so the answer would be no. (The mirrors length and width are 13 3/4 inches by 16 9/25)

7 0

3 years ago

10.512×10^_3 write in proper scientific notation

IgorLugansk [536]

10512 is the answer since you just move the decimal place over to the right three times.

3 0

3 years ago

Read 2 more answers

In the United States, 35% of households own a 4K television. Suppose we take a random sample of 150 households. (a) Describe the

sattari [20]

Answer:

(a) The distribution of the sample proportion is Normal distribution.

(b) The probability that in this sample of 150 households that more than 50% own a 4K television is 0.00012.

Step-by-step explanation:

We are given that in the United States, 35% of households own a 4K television.

Suppose we take a random sample of 150 households.

Let $\hat p$ = sample proportion of households who own a 4K television.

The z-score probability distribution for sample proportion is given by;

Z = $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion

p = population proportion of households own a 4K television = 35%

n = sample of households = 150

(a) The distribution of the sample proportion is related to the Normal distribution.

(b) Probability that in this sample of 150 households more than 50% own a 4K television is given by = P( $\hat p$ > 0.50)

P( $\hat p$ > 0.50) = P( $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ > $\frac{ 0.50-0.35}{\sqrt{\frac{0.50(1-0.50)}{150} } }$ ) = P(Z > 3.67) = 1 - P(Z $\leq$ 3.67)

= 1 - 0.99988 = 0.00012

Now, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 3.67 in the z table which has an area of 0.99988.

Therefore, probability that in this sample of 150 households more than 50% own a 4K television is 0.00012.

8 0

3 years ago

!!!!!!!!!!!!!!!! URGENT !!!!!!!!!!!!!!!!!! 1.2 Learning Checkpoint

Grace [21]

Answer: Try to figure it out first. If you can't, then you haven't learned the material and you won't be able to understand subsequent lessons.

Step-by-step explanation:

Question 1 checks that you know several things:

● Point (5,8) means x=5 and y=8.

● Which number is the y intercept in equation y = m x + b.

m is NOT the y intercept.

b IS the y intercept.

Guess which is the slope...

● The y intercept is value of y when x is zero. But m times zero is zero, no matter what m is, so m can't be the y intercept. On the other hand, m x + b evaluates to b when x is zero.

● The meaning of an inequality and how it is graphed:

A solid line means the line is included in the graph (≤ or ≥).

A dotted line means the line is not included (< or >).

The shaded area indicates points in that area are in the solution set of the inequality.

● To see if point (A,B) is in the solution set, substitute A for x and B for y, and see if the result is true.

Say (A,B) = (5,6), and the statement is y < 2x + 3. You substitute A (5) for x and evaluate the right hand side to a number (13), and substitute B (6) for y on the left hand side to give a statement about two numbers: 6 < 13. If the statement is true, then (A,B) is in the solution set.

Then the region containing (A,B) will be shaded (inequality), or a solid line (equation).

Question 2 tries to see if you realize you can't draw a line between two points without first plotting both points.

Question 3 checks to see if you know how to tell if an equation matches a line on graph paper. You can look at the line, find the y intercept (b) and the slope (m), and look for an equation y = m x + b.

For instance, the red line crosses the y axis at (0,4), x = 0 (always true for a y intercept), and y = 4. So the equation for the red line must be

y = m x + 4. If you substitute (0,4), you get 4 = m × 0 + 4 = 4, a true statement.

You can figure the slope of the red line as m = rise/run. The answer is m=2, so the equation is y = 2x+4.

Or you can just check all of the choices. Takes longer but you don't have to know how to find slope.

But after doing this (or even without doing it), you check to see if a few points from the line make the equation true. The red line includes (-4,-4). So check -4 = 2(-4) + 4. Since -8+4 is -4, the result is true. Also check (0,4) and (-2,0) because they are easy to do. 4 = 2(0)+4, true, and 0 = 2(-2) + 4, true. y = 2x + 4 is the equation of the red line.

If the check fails, then either you don't know how to read the slope and y intercept, or else you don't know how to substitute x and y into the equation.

Another way to eliminate incorrect choices quickly is to substitute (-3,-2), x = -3, y = -2, into each pair. If either equation evaluates to false, eliminate that choice. But that might not eliminate all but one choice, so you need to test all of them.

The last question checks to see if you can figure out which axis is x and which is y, and if you know (-3,-2) means x=-3, y=-2, and not x=-2, y=-3.

7 0

3 years ago