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3 years ago

7

A county has 90 schools. The county received 992 new computers. Are there enough computers so that each school can get 11 comput

ers? Explain

1 answer:

Ray Of Light [21]3 years ago

4 0

Answer:

there will be enough for each school to get 11 computers

Step-by-step explanation:

use a calculator and put in 992 divided by 11. your answer should appear as 90.1818182

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Please someone help

marta [7]

Answer:

a. opens: upward

b. a.o.s.: x = 1

c. vertex: (1, -4)

d. x-intercepts: (-1, 0), (3, 0); y-intercept: (0, -3)

Step-by-step explanation:

<h3><u>A:</u></h3>

By looking at the graph, we can see that the parabola opens upward. This means that its a-value is positive.

<h3><u>B:</u></h3>

The axis of symmetry is the line that passes exactly through the center of the parabola. It always starts with x = __, because it is a vertical line.

The center of this parabola is at the x-value of 1, so we can say that the equation of the axis of symmetry is x = 1.

<h3><u>C:</u></h3>

The vertex is at the highest or lowest point of the parabola, also known as the maximum or minimum point. Since this graph opens up, the vertex is at the minimum point.

Look at the graph and find the point where the parabola opens upwards. This point is at the x-value of 1 and the y-value of -4, so the vertex of the parabola is at (1, -4).

<h3><u>D:</u></h3>

Again, look at the graph provided to find the x and y-intercepts. On the x-axis, the parabola crosses through at the x-values of -1 and 3, so the x-intercepts are (-1, 0) and (3, 0).

The parabola crosses the y-axis at the y-value of -3, so the y-intercept of the parabola is (0, -3).

8 0

3 years ago

Point W(–4, 7) was translated as follows: W(–4, 7) 2004-01-04-02-00_files/i0160000.jpg W’(–2, 4). A student wrote the algebraic

ivanzaharov [21]

The correct answer is ; A. incorrect; the student should add 2 to the x-coordinate and subtract 3 from the y-coordinate

4 0

4 years ago

Identify characteristics of the quadratic function and its graph

Assoli18 [71]

Answer:

Step-by-step explanation:

Vertex (1,-1)

Axis of symmetry: x = 1

Domain is the set of real numbers.

Range in interval notation: [-1,+∞)

When x< 1, y increases as x increases.

When x>1, y decreases as x increases.

3 0

3 years ago

A museum conducts a survey of its visitors in order to assess the popularity of a device which

Natali5045456 [20]

Answer:

i:

The appropriate null hypothesis is $H_0: p \geq 0.2$

The appropriate alternative hypothesis is $H_1: p < 0.2$

The p-value of the test is 0.1057 > 0.05, which means that there is not sufficient evidence that fewer than 20% of the museum visitors make use of the device, and so, it should not be withdrawn.

ii:

The p-value of the test is 0.1057

Step-by-step explanation:

Question i:

The device will be withdrawn if fewer than 20% of all of the museum’s visitors make use of it.

At the null hypothesis, we test if the proportion is of at least 20%, that is:

$H_0: p \geq 0.2$

At the alternative hypothesis, we test if the proportion is less than 20%, that is:

$H_1: p < 0.2$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.2 is tested at the null hypothesis:

This means that $\mu = 0.2, \sigma = \sqrt{0.2*0.8} = \sqrt{0.16} = 0.4$ .

The device will be withdrawn if fewer than 20% of all of the museum’s visitors make use of it. Of a random sample of 100 visitors, 15 chose to use the device.

This means that $n = 100, X = \frac{15}{100} = 0.15$

Test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.15 - 0.20}{\frac{0.4}{\sqrt{100}}}$

$z = -1.25$

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.15, which is the p-value of z = -1.25.

Looking at the z-table, z = -1.25 has a p-value of 0.1057.

The p-value of the test is 0.1057 > 0.05, which means that there is not sufficient evidence that fewer than 20% of the museum visitors make use of the device, and so, it should not be withdrawn.

Question ii:

The p-value of the test is 0.1057

7 0

3 years ago

Convert the improper fraction to a mixed number.<br> negative StartFraction 28 Over 3 EndFraction

Burka [1]

How many times does 3 go into 28? let's see 28÷3 is 9.333 so...9 whole times, thus 9 * 3 is 27 so

$\bf \cfrac{28}{3}\implies \cfrac{27+1}{3}\implies \cfrac{27}{3}+\cfrac{1}{3}\implies 9+\cfrac{1}{3}\implies 9\frac{1}{3}$

8 0

4 years ago