10. The graph shows the relationship between x and y. Writle an inequality that represents

Write an equation for a line that passes through the points (0,-4) and (1,3)

stich3 [128]

We can actually make two equations here, slope-intercept form and point slope form. Firstly, we need to find the slope. We do that by finding the difference of the y coordinates, and then dividing that by the difference of the x coordinates. 3-(-4)/1-0 is 7. Our slope is 7, slope is m.

Point slope form is y - y1 = m(x - x1). We only need to worry about y1 and x1. Let’s plug our x and y values in. y - (-4) = 7(x - 0). Next, we should simplify this. y + 4 = 7x. Next, we need to isolate y. We do this by subtracting four from both sides. y = 7x - 4

Our point slope form equation is y - (-4) = 7(x-0), and our slope-intercept form is y = 7x - 4. Keep in mind that 7 is our slope, or m, and -4 is our y-intercept.

3 0

3 years ago

Out of 3000 students in a School of Public Health, 1500 students defined themselves regular dietary supplement users. If you tak

attashe74 [19]

Answer:

The standard error of the proportion is 0.112.

Step-by-step explanation:

The standard error of a proportion is given by the following formula:

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

In which p is the probability of a success and n is the length of the sample.

In this problem

A success is a student defining themselves regular dietary supplement users. Our of 3000 students, 1500 do. So $p = \frac{1500}{3000} = 0.5$ .

We take a sample of 20 of them, so $n = 20$ .

So

$S = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.5*0.5}{20}} = 0.112$

8 0

4 years ago

Two mechanics worked on a car. The first mechanic worked for

sergij07 [2.7K]

76.25 is the answer because 1525 divided by 20 equals 76.25

8 0

3 years ago

In triangle ABC, a=7, b=3 and cos C = 1/2. The value of c is

aalyn [17]

Answer:

Correct option: 2 -> sqrt(37)

Step-by-step explanation:

To solve this problem, we just need to use the law of cosines. This law is used to find the third side of a triangle, when we have the two other sides and the angle between them.

The equation of the law of cosines is:

c^2 = a^2 + b^2 - 2 * a * b * cos(C)

So, we have that:

c^2 = 7^2 + 3^2 - 2 * 7 * 3 * (1/2)

c^2 = 49 + 9 - 21

c^2 = 37

c = sqrt(37)

Correct option: 2

8 0

3 years ago

Recently, a random sample of 13-18 year olds was asked, "How much do you currently have in savings?" The data in the table re

Sonbull [250]

Answer:

μ = 235.38

σ = 234.54

Step-by-step explanation:

Assuming the table is as follows:

$\left[\begin{array}{cc}Savings&Frequency\\\$0-\$199&339\\\$200-\$399&86\\\$400-\$599&55\\\$600-\$799&18\\\$800-\$999&11\\\$1000-\$1199&8\\\$1200-\$1399&3\end{array}\right]$

This is an example of grouped data, where a range of values is given rather than a single data point. First, find the total frequency.

n = 339 + 86 + 55 + 18 + 11 + 8 + 3

n = 520

The mean is the expected value using the midpoints of each range.

μ = (339×100 + 86×300 + 55×500 + 18×700 + 11×900 + 8×1100 + 3×1300) / 520

μ = 122400 / 520

μ = 235.38

The variance is:

σ² = [(339×100² + 86×300² + 55×500² + 18×700² + 11×900² + 8×1100² + 3×1300²) − (520×235.38²)] / (520 − 1)

σ² = 55009.7

The standard deviation is:

σ = 234.54

6 0

3 years ago