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2 years ago

What is the sum of 2.4, 3.06 and .75

Mathematics

2 answers:

Alenkasestr [34]2 years ago

5 0

2.4+3.06=5.46
5.46+.75=6.21
The answer is 6.21

ArbitrLikvidat [17]2 years ago

4 0

2.4 + 3.06 + .75 = 6.21
The answer to your problem is 6.21.

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Use the results from a survey of a simple random sample of 1176 adults. Among the 1176 respondents, 77% rated themselves as abov

Serjik [45]

Using the sample data to test the hypothesis, we have that:

The actual number of respondents who rated themselves as above average drivers is 906.

The p-value of the test is 0, which is less than the standard significance level of 0.05, thus we can conclude that the proportion respondents who rated themselves as above average drivers is greater than 0.7.

77% of the sample of 1176 adults rated themselves as above average drivers, that is:

$0.77(1176) = 906$ .

Thus, the actual number of respondents who rated themselves as above average drivers is 906.

At the null hypothesis, we test if the proportion is $\displaystyle \frac{7}{10} = 0.7$ , that is:

$H_0: p = 0.7$

At the alternative hypothesis, we test if the proportion is greater than 70%, that is:

$H_1: p \geq 0.7$

The test statistic is given by:

$z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}$

In which:

$\overline{p}$ is the sample proportion.
p is the proportion tested.
n is the size of the sample.

In this problem, the parameters are $\overline{p} = 0.77, p = 0.7, n = 1176$ .

Thus, the value of the test statistic is:

$z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}$

$z = \frac{0.77 - 0.7}{\sqrt{\frac{0.7(0.3)}{1176}}}$

$z = 5.24$

The p-value of the test is the probability of finding a sample proportion above 0.77, which is <u>1 subtracted by the p-value of z = 5.24</u>.

Looking at the z-table, z = 5.24 has a p-value of 1.

1 - 1 = 0.

The p-value of the test is 0, which is less than the standard significance level of 0.05, thus we can conclude that the proportion respondents who rated themselves as above average drivers is greater than 0.7.

A similar problem is given at brainly.com/question/24330815

7 0

2 years ago

What is the slope of the line that passes through the points (9, 1) and (10, -1)? Write your answer in simplest form.

Otrada [13]

We conclude that the slope of the linear equation that passes through the points (9, 1) and (10, -1) is -2.

<h3>How to get the slope of the line that passes through the points (9, 1) and (10, - 1)?</h3>

A linear equation has the general form:

y = a*x + b

Where a is the slope of the line, and b is the y-intercept.

There is a simple equation to get the slope of a point if we know two points. For a line that passes through ( a, b) and (c, d), the equation for the slope is:

a = (d - b)/(c - a)

In this case we know that our line passes through (9, 1) and (10, -1), then using the above equation, we can see that the slope is:

a = (-1 - 1)/(10 - 9) = -2

We conclude that the slope of the linear equation that passes through the points (9, 1) and (10, -1) is -2.

If you want to learn more about linear equations:

brainly.com/question/1884491

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7 0

1 year ago

A wagon is on sale for 20% off. The sale price of the wagon is $114. What was the original price of the wagon assuming no sales

ivann1987 [24]

Answer:

$136.8

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

the coordinates of the vertices of a rectangle in order are (5,2), (-1,4), (-2,1) and (4,-1). what is the perimeter of the recta

Anna [14]

Answer:

19 units

Step-by-step explanation:

Plot points A(5,2), B(-1,4), C(-2,1) and D(4,-1) on the coordinate plane. Find lengths of all sides as distances between two points:

$AB=\sqrt{(-1-5)^2+(4-2)^2}=\sqrt{6^2+2^2}=\sqrt{36+4}=\sqrt{40}=2\sqrt{10}\ units\\ \\BC=\sqrt{(-2-(-1))^2+(1-4)^2}=\sqrt{1^2+3^2}=\sqrt{1+9}=\sqrt{10}\ units\\ \\CD=\sqrt{(4-(-2))^2+(-1-1)^2}=\sqrt{6^2+2^2}=\sqrt{36+4}=\sqrt{40}=2\sqrt{10}\ units\\ \\DA=\sqrt{(5-4)^2+(2-(-1))^2}=\sqrt{1^2+3^2}=\sqrt{1+9}=\sqrt{10}\ units$