-4b + 10 = -2<br><br> What is b

after working for 25 hours, Lamar made $375. After working 40 hours, Lamar made $600. Predict how much he would make after 10 ho

Tcecarenko [31]

375÷25=15
600÷40=15
so his pay is 15 dollars per hour.
now multiply 15×10=150

6 0

3 years ago

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A baker uses a coffee mug with a diameter of 8 cm, to cut out circular cookies from a big sheet of cookie dough. What is the are

ryzh [129]

Answer:

A = $16\pi$ $cm^{2}$

Step-by-step explanation:

∵ The diameter of the mug is 8 cm and using to cut out circular cookies

∴ The diameter of each circular cookie is 8 cm

∴ Its radius = 8 ÷ 2 = 4

∵ Area of the circle = $\pi r^{2}$

∴ Area = $\pi 4^{2}=16\pi cm^{2}$

5 0

3 years ago

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A manager of a grocery store wants to determine if consumers are spending more than the national average. The national average i

strojnjashka [21]

The valid conclusions for the manager based on the considered test is given by: Option

<h3>When do we perform one sample z-test?</h3>

One sample z-test is performed if the sample size is large enough (n > 30) and we want to know if the sample comes from the specific population.

For this case, we're specified that:

Population mean = $\mu$ = $150
Population standard deviation = $\sigma$ = $30.20
Sample mean = $\overline{x}$ = $160
Sample size = n = 40 > 30
Level of significance = $\alpha$ = 2.5% = 0.025
We want to determine if the average customer spends more in his store than the national average.

Forming hypotheses:

Null Hypothesis: Nullifies what we're trying to determine. Assumes that the average customer doesn't spend more in the store than the national average. Symbolically, we get: $H_0: \mu_0 \leq \mu = 150$
Alternate hypothesis: Assumes that customer spends more in his store than the national average. Symbolically $H_1: \mu_0 > \mu = 150$

where $\mu_0$ is the hypothesized population mean of the money his customer spends in his store.

The z-test statistic we get is:

$z = \dfrac{\overline{x} - \mu_0}{\sigma/\sqrt{n}} = \dfrac{160 - 150}{30.20/\sqrt{40}} \approx 2.094$

The test is single tailed, (right tailed).

The critical value of z at level of significance 0.025 is 1.96

Since we've got 2.904 > 1.96, so we reject the null hypothesis.

(as for right tailed test, we reject null hypothesis if the test statistic is > critical value).

Thus, we accept the alternate hypothesis that customer spends more in his store than the national average.

Learn more about one-sample z-test here:

brainly.com/question/21477856

3 0

2 years ago

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RS bisects TU at Q. If TQ=5k-9 and QU=15-x

snow_lady [41]

Answer:

x = 4, TU = 22

Step-by-step explanation:

Given that TS bisects TU at Q , then

TQ = QU , substitute values

5x - 9 = 15 - x ( add x to both sides )

6x - 9 = 15 ( add 9 to both sides )

6x = 24 ( divide both sides by 6 )

x = 4

Thus

TU = 5x - 9 + 15 - x = 4x + 6 = 4(4) + 6 = 16 + 6 = 22

4 0

3 years ago

The rectangular prism is made of 8 cubes and has and edge length of 1/2 in, what is the volume

sashaice [31]

Hello!

To find the volume of the prism you first have to find the volume of a cube

To do this you use the equation

$V = a^{3}$

V is volume
a is side length

Put in the values you know

$V = \frac{1}{2}^{3}$

Solve

V = 0.125

Now to find the volume of the prism you multiply the volume of one cube by the amount of cubes in the prism

0.125 * 8 = 1

The answer is 1 cubic inch

Hope this helps!

4 0

4 years ago

-4b + 10 = -2 What is b