All categories

2 years ago

Which ordered pair is a solution to the inequality in the graph?

Mathematics

1 answer:

lukranit [14]2 years ago

5 0

Answer:

The answer is (1,5)

Step-by-step explanation:

Using Trial and Error. Substitute the values of x and y.

(-1, 0) = (x, y)

y ≤ 3x + 2

5 ≤ 3(1) + 2

5 ≤ 5

Five is less than or equal to five.

You might be interested in

A public health official is planning for the supplyof influenza vaccine needed for the upcoming flu season. She wants to estimat

Marizza181 [45]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25$

And rounded up we have that n=421

Step-by-step explanation:

We know that the sample proportion have the following distribution:

$\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.04$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

We assume that a prior estimation for p would be $\hat p =0.5$ since we don't have any other info provided. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25$

And rounded up we have that n=421

5 0

3 years ago

The table shows the number of points scored each game for 2 different basketball teams. Find the mean absolute deviation(M. A. D

N76 [4]

Answer:

mean:

team 1: 41

team 2: 56

Step-by-step explanation:

add all numbers then divide by how many numbers

3 0

2 years ago

What x-values are a solution to the system? Select each correct answer the answers are

Brut [27]

I think the sabers are X=2 and X=-2

6 0

3 years ago

75 yd 40 yd What is the length of the hypotenuse. Help

nadya68 [22]

Pythagorean Theorem
75^2+40^2=x^2
5625+1600=7225
Square root of 7225 is 85
So hypotenuse is 85 yd

8 0

3 years ago

Simplify: |3 – 10| – (12 / 4 + 2)^2 0 - 32 O – 18 O3 0 - 6

MakcuM [25]

Answer:

-18

Step-by-step explanation:

Simplify: |3 – 10| – (12 / 4 + 2)^2

$|3 - 10| - (\frac{12}{4} + 2)^2\\\\|-7|-(\frac{12}{4} + 2)^2 < == absolute\ numbers\ are\ always\ positive\\\\7-(3+2)^2 < ==add\ numbers\ in\ parenthesis\\\\7-5^2 < ==square\ the\ number\ (5)\\\\7-25 < ==add\ numbers\\\\-18 < ==final\ answer$

Hope this helps!

6 0

2 years ago

Read 2 more answers