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SOVA2 [1]
2 years ago
13

Jerry makes $40,000 a year working at a nearby factory. He gets two weeks paid vacation per year, plus five other paid holidays.

He wants to figure out his per-diem (daily) pay, so he divides 40,000 by 365, which yields $109.59. Is this the correct answer?
Mathematics
2 answers:
Delicious77 [7]2 years ago
5 0
No because 40,000 doesn't include the paid vacations and holidays. the 40,000 is likely the working salary
JulijaS [17]2 years ago
4 0

Answer:

Vacation pays are not included in salaries. Therefore, Jerry's calculation is wrong.

Step-by-step explanation:

Given is :

Jerry makes $40,000 a year working at a nearby factory.

He gets two weeks paid vacation per year, plus five other paid holidays.

So total paid holidays become = 14+5=19 days

Subtracting 19 from 365 days and assuming that Jerry works for 365 days a year.

We get = 365-19=346 days

So, his per day salary will be = \frac{40000}{346}= 115.60

Vacation pays are not included in salaries. Therefore, Jerry's calculation is wrong.

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Automobile mechanics conduct diagnostic tests on 150 new cars of a particular make and model to determine the extent to which th
Aleks04 [339]

Answer:

99% Confidence interval: (0.185,0.375)                                                  

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 150

Number of cars that have faulty catalytic converters, x = 42

\hat{p} = \dfrac{x}{n} = \dfrac{42}{150} = 0.28

99% Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.01} = \pm 2.58

Putting the values, we get:

0.28\pm 2.58(\sqrt{\frac{0.28(1-0.28)}{150}}) = 0.28\pm 0.095\\\\=(0.185,0.375)

The​ 99% confidence interval for the true proportion of new cars with faulty catalytic converters is​ (0.185,0.375)

8 0
2 years ago
Trapezoid $RSTU$ is a cross section of a lampshade. The diagonals of $RSTU$ are congruent, and the measure of $\angle S$ is $112
Alexxandr [17]

Answer:

112°

Step-by-step explanation:

Given that the diagonals of trapezoid RSTU are congruent, it is an Isosceles Trapezoid.

One of the properties of an Isosceles Trapezoid is that the base angles are equal.

Therefore if the measure of angle S=112°, the measure of Angle U will also be 112°.

3 0
2 years ago
Explain how to estimate 368+231 in two different ways
Dennis_Churaev [7]
400+200 or add 368+231= 599 and you round your answer, woulb be 600
6 0
2 years ago
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Sasha solved an equation, as shown below: Step 1: 8x = 56 Step 2: x = 56 – 8 Step 3: x = 48 Part A: Is Sasha's solution correct
bekas [8.4K]
Incorrect, she should have divided both sides by 8. The answer should be x=7. There is only 1 solution to the equation because x is raised to the first degree. It is not a polynomial equation so there won't be more than 1 answer to the equation.
4 0
2 years ago
Which input value produces the same output value for the two functions on the graph? f(x) equals negative StartFraction 2 Over 3
alisha [4.7K]

Answer:

  3

Step-by-step explanation:

Your problem statement tells you ....

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  • g(x) passes through point (3, negative 1)

This tells you the input value that produces the same output value for the two functions is 3, and that output value is -1.

8 0
2 years ago
Read 2 more answers
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