MATHEMATICS MIDDLE SCHOOL

An employee works for $45 hours each week. He is paid $4 per hour for 40 hours per week and $6 per hour for overtime, what is his gross weekly wage?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Gross wage = Regular wage + overtime wage

Employee works for 45 hours = 40 hours + 5 hour overtime

Gross wage = 4*40 + 6*5

= 160 + 30

= $ 190

Answer 2

Answer:

Answer: $190

Step-by-step explanation:

Normal pay $4 * 40 hours = $160

Overtime $6 * 5 = $30

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A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. The standard deviation of the amount in each can is 0.12 ounce. The machine is overhauled with new components, and ten cans are filled to determine whether the standard deviation has changed. Assume the fill amounts to be a random sample from a normal population.Perform a hypothesis test to determine whether the standard deviation differs from 0.12 ounce. Use the level of significance.

Answers

Answer:

$\chi^2 =(10-1)/(0.0144) 0.0217 =13.54$

The degrees of freedom are:

$df=n-1=10-1=9$

Now we can calculate the p value using the alternative hypothesis:

$p_v =2*P(\chi^2 >13.54)=0.279$

Since the p value is higher than the signficance level assumed of 0.05 we have enough evidence to FAIL to reject the null hypothesis and there is no evidence to conclude that the true deviation differs from 0.12 ounces

Step-by-step explanation:

Assuming the following data:"12.14 12.05 12.27 11.89 12.06

12.14 12.05 12.38 11.92 12.14"

We can calculate the sample deviation with this formula:

$s =\sqrt{(\sum_(i=1)^n (X_i -\bar X)^2)/(n-1)}$

$n=10$ represent the sample size

$\alpha=0.05$ represent the confidence level

$s^2 =0.0217$ represent the sample variance

$\sigma^2_0 =0.12^2= 0.0144$ represent the value to verify

Null and alternative hypothesis

We want to determine whether the standard deviation differs from 0.12 ounce, so the system of hypothesis would be:

Null Hypothesis: $\sigma^2 = 0.0144$

Alternative hypothesis: $\sigma^2 \neq 0.0144$

The statistic can be calculated like this;

$\chi^2 =(n-1)/(\sigma^2_0) s^2$

$\chi^2 =(10-1)/(0.0144) 0.0217 =13.54$

The degrees of freedom are:

$df=n-1=10-1=9$

Now we can calculate the p value using the alternative hypothesis:

$p_v =2*P(\chi^2 >13.54)=0.279$

Wants does factor mean.

Answers

Numbers you can multiply together to get another number

All of the numbers used to get the product

Photo above! How do I find the area of this? I'm more concerned about how to find the answer than the actual answer itself. I just need to know how to find the area

Answers

Well, this is how I do it. Multiply 4 and 10 and get the area of the whole thing. Answer is 40. Then, multiply 3 and 5. (I got 5 from subtracting 2 and 3 from 10). This gives me the area of the missing piece. Answer is 15. Lastly, I subracted. 40 - 15. Gave me 35. My final answer I got is 35. I hope my answer is correct! I hope this helped!

(2·4)+(1·5)+(3·4)=25

for 15 weeks, sue put the same amount of money in a jar. then she took $9 out to spend on a friend's birthday present. she had $21 left. how much did she put in each week?

Answers

$x=amount\ she\ put\ in\ each\ week \n 15x-9=21 \n 15x=30 \n x= (30)/(15) \n x=2 \n \boxed{2\ dollars\ each\ week}$

$2 because you add the 9 back to the 21 then divide by 15 to get 2

PLEASE HELP!! It is easy!!!!!

Answers

Multiple choice questions were worth some points.
We don't know how many yet. That's what we're trying to find.
Call it ' M ' (for 'mystery number' or 'multiple-choice')

Francine got 34 multiple choice questions correct.
She got 34M points for them.
She got 14 more points for her essay.
Her total score was 34M + 14.

Cheryl got 30 multiple choice questions correct.
She got 30M points for them.
She got 22 more points for her essay.
Her total score was 30M + 22.

THEIR SCORES WERE EQUAL.

So    34M + 14 = 30M + 22

Subtract 14 from each side 34M   = 30M + 8

Subtract 30M from each side: 4M    = 8

Divide each side by 4 :    M    =    2

Each multiple choice question is worth 2 points. Exactly. 2.00000

Check:
Francine got 34 questions right . . . 68 points
plus 14 for her essay => total 82 .

Cheryl got 30 questions right . . . 60 points
plus 22 for her essay => total 82 . yay!

Answer:

82 .

Step-by-step explanation:

Please help me out !!!

*please answer asap*