Easy points scored Hints PCM=35 APC is not equal to 105, 35

Which letter is in the solution set for graph #2

stealth61 [152]

Answer:

Step-by-step explanation:

y > 0 - the region above the line together with that line

y ≥ 0 - the region above the line together with that line

y < 0 - the region below the line without that line

y ≤ 0 - the region below the line together with that line

We have:

y > 2 - the region above the line together with that line

y ≥ 2x - 3 - the region above the line together with that line

look at the picture

The common part is the solution.

8 0

2 years ago

I want to run 4 1/2 miles tonight. If I know running around my block is 3/5 of a mile, how many times should I run around the bl

sukhopar [10]

3/5 block mile is also 0.6 block mile
4 1/2 miles is also 4.5 miles

How many 0.6mi blocks do you run to run 4.5 miles?

4.5miles/0.6block mi = 7.5 or 7 1/2 blocks will equal 4.5 or 4 1/2 miles.

Check 7.5 blocks x 0.6 block mi = 4.5 miles

Same as you know one quarter equals $0.25 cent. And how many do you need to make one dollar that equals $1.00 ?

1/ .25 = 4 quarters

3 0

3 years ago

A drug company is considering marketing a new local anesthetic. The effective time of the anesthetic the drug company is current

lapo4ka [179]

Using the z-distribution, we have that:

a)

The hypothesis test is:

$H_0: \mu = 7.4$

$H_1: \mu < 7.4$

The p-value is of 0.0668.

The critical value is $z^{\ast} = -1.28$

b) Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.

Item a:

At the null hypothesis, it is tested if the mean is of 7.4 minutes, that is:

$H_0: \mu = 7.4$

At the alternative hypothesis, it is tested if the mean is lower than 7.4 minutes, that is:

$H_1: \mu < 7.4$

We have the standard deviation for the population, hence, the z-distribution is used.

The test statistic is given by:

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

The parameters are:

$\overline{x}$ is the sample mean.

$\mu$ is the value tested at the null hypothesis.

$\sigma$ is the standard deviation of the sample.

n is the sample size.

For this problem, the values of the parameters are: $\overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36$ .

Hence, the value of the test statistic is:

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

$z = \frac{7.1 - 7.4}{\frac{1.2}{\sqrt{36}}}$

$z = -1.5$

Using a z-distribution calculator, the p-value is of 0.0668.

Also using a calculator, considering a left-tailed test, as we are testing if the mean is less than a value, the critical value with a significance level of 0.1 is of $z^{\ast} = -1.28$ .

Item b:

Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.

You can learn more about the use of the z-distribution to test an hypothesis at brainly.com/question/16313918

5 0

2 years ago

a triangle has two sides that are 2 inches and 12 inches what could be the length of the third side of the triangle

Salsk061 [2.6K]

Hmm, let's see. Well a triangle's dimensions add up to 180. If both sides given add up to 14. Simply subtract 180 by 14. You get, 166. If I'm wrong, feel free to correct me on that :)

4 0

3 years ago

Read 2 more answers

Solve the following system of equations. If there is no solution, write DNE in each coordinate of the

Rainbow [258]

Answer:

1) solution is y = -7

2.) DNE

3.) Solution is y = -2

Step-by-step explanation:

1.) 2+3 = y + 12

Add the LHS and make y the subject of formula

5 = y + 12

Y = 5 - 12

Y = - 7

The solution of the equation is - 7

2.) 2 + 13 = 1 +8

Since there is no unknown variable and the sum of the numbers in the left hand side ( LHS ) is not equal to the sum of the numbers in the right hand side ( RHS ), it will be concluded that there is no solution in the equation.

3.) y - 7 = 2 - 11

Sum the RHS and make y the subject of formula

Y - 7 = -9

Y = -9 + 7

Y = -2

The solution of the equation is -2

6 0

2 years ago