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tiny-mole [99]
3 years ago
13

The grocery store where Ms. Maple works pays her $6.50 per hour. Any time she works more than 40 hours per week, she is paid tim

e and a half for the additional hours. Her weekly pay, w, is found using the following equation, where h is the total number of hours worked.
How much would Ms. Maple earn if she worked 43 hours one week?
$289.25
$279.50
$975.00
$399.75
Mathematics
1 answer:
Charra [1.4K]3 years ago
7 0

Answer:

$289.25

Step-by-step explanation:

First we should find out how much Ms. Maple would make in a week without overtime.

6.5 x 40 = 260

Now, let's figure out how much she makes per hour in overtime.

6.5 x 1.5 = 9.75

Now add up the hours of overtime.

9.75 x 3 = 29.25

Now we add the weekly wage to the overtime

260 + 29.25 = 289.25

For 40 hours of regular time at $6.50/hr and 3 hours of overtime at $9.75/hr, Ms. Maple will make $289.25 for the week.

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Theres 12 inches in a foot. So 12x8=96
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Question 28 (1 point)
aniked [119]

Answer:

+ 16

Step-by-step explanation:

x² - 8x = - 10

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + (- 4) = - 10 + (- 4)²

x² - 8x + 16 = - 10 + 16

thus 16 is added to both sides to complete the square

4 0
2 years ago
A billing company that collects bills for​ doctors' offices in the area is concerned that the percentage of bills being paid by
omeli [17]

Answer:

1) A. H0: p = 0.30

HA: p not equal to 0.30

2) A. The Independence Assumption is met.

C. The Randomization Condition is met.

D. The Success/Failure Condition is met.

3) Test statistic z = 2.089

P-value = 0.0367

4) C. Reject H0. There is sufficient evidence to suggest that the percentage of bills paid by medical insurance has changed.

Step-by-step explanation:

1) This is a hypothesis test for a proportion.

The claim is that there is a significant change in the percent of bills being paid by medical​ insurance.

As we are looking for evidence of a difference, no matter if it is higher or lower than the null hypothesis proportion, the alternative hypothesis is defined by a unequal sign.

Then, the null and alternative hypothesis are:

H_0: \pi=0.3\\\\H_a:\pi\neq 0.3

2) Cheking the conditions:

The independence assumption and the randomization condition are met as the bills were selected randomly from the population.

The 10% condition can not be checked, as we do not know the size of the population.

The success/failure condition is met as the products np and n(1-p) are bigger than 10 (the number of successes and failures are both bigger than 10).

3) The significance level is assumed to be 0.05.

The sample has a size n=9260.

The sample proportion is p=0.31.

 

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.3*0.7}{9260}}\\\\\\ \sigma_p=\sqrt{0.000023}=0.005

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.31-0.3-0.5/9260}{0.005}=\dfrac{0.01}{0.005}=2.089

This test is a two-tailed test, so the P-value for this test is calculated as:

\text{P-value}=2\cdot P(z>2.089)=0.0367

As the P-value (0.0184) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that there is a significant change in the percent of bills being paid by medical​ insurance.

5 0
3 years ago
Help . pls LANAHJAGAHGHAA
Bond [772]

Answer:

2:3

Step-by-step explanation:

7 0
2 years ago
I don’t understand pls help!!
mezya [45]

Answer:

7.9 m

Step-by-step explanation:

Use the Pythagorean theorem: a²+b²=c²

This formula can be used to solve a side of any right (90°) triangle.

c² is the length of the hypotenuse (the diagonal side of the triangle, opposite to the 90° angle)

So, c = 32m.

Sides a and b are the legs of the triangle, but we only know one side. Plug numbers into the formula:

31² + b² = 32²

961 + b² = 1024 Subtract 961 from both sides to get b² by itself.

b² = 63

√b² = √63  Square root both sides to get b by itself.

b = 7.93725

Answer is 7.9 meters, rounded to tenths place

3 0
3 years ago
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