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shutvik [7]
3 years ago
7

Directions: Read the scenario below and calculate what Marcus' pay is after deductions are

Mathematics
1 answer:
hram777 [196]3 years ago
7 0

Answer:

$346.65

Step-by-step explanation:

If Marcus worked a total of 40 hours, and he earns 10$ an hour, his payment before deductions is 400$, as put in the "gross pay".

We need to sum all the deductions:

9.75 + 3.10 + 30 + 10.5 = 53.35

Now, to know Marcus net pay, we just need to subtract his gross pay from this total deduction:

400 - 53.35 = 346.65

So, his net payment is $346.65

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In a representative sample of 1000 adult Americans, only 400 could name at least one justice who is currently serving on the U.S
lys-0071 [83]

Answer:

1) z = -6.32

2) p-value = 0.001 × 10^(-2)

3) we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court

Step-by-step explanation:

We are told that In a representative sample of 1000 adult Americans, only 400 could name at least one justice.

Thus:

Sample proportion; p^ = 400/1000 = 0.4

Sample size: n = 1000

We want to find if there is convincing evidence to support the claim that fewer than half of adult Americans can name at least one justice.

Thus, the hypothesis is defined as;

Null hypothesis:H0: p ≥ 0.5

Alternative hypothesis: Ha < 0.5

Formula for the test statistic is;

z = (p^ - p)/√(p(1 - p)/n)

Plugging in the relevant values;

z = (0.4 - 0.5)/√(0.5(1 - 0.5)/1000)

z = -6.32

From online p-value from z-score calculator attached, using z = -6.32; significance level of 0.01; one tailed hypothesis;

We have:

p-value = 0.00001 = 0.001 × 10^(-2)

The p-value is less than the significance level and so we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court

8 0
2 years ago
Put these in order from greatest to least.
nikklg [1K]
86%, 3/4, 0.682, 0.67, 5/8, 0.41

^ I converted the above to decimals first and then arranged them that way. 

1/20 = 0.05 x 100 = 5%
7 0
3 years ago
Read 2 more answers
There are 13 brunettes and 7 blondes in a Spanish class. The teacher selects two students to run an errand. How many possible ou
Delicious77 [7]

Answer:

91 possible outcomes

Step-by-step explanation:

As the teacher selects a brunette followed by a blonde, we just need to find the number of possibilities of choosing a brunnette and the number of possibilities of choosing a blonde:

number of possibilities of choosing a brunette: 13

number of possibilities of choosing a blonde: 7

Then, the number of possible outcomes is the product of these number of possibilities:

13 * 7 = 91 possible outcomes

8 0
3 years ago
A distribution x is known to have a mean value of 5 and a standard deviation of 5. what is its mean square value (i.e., the expe
telo118 [61]
\mathbb V(X)=\mathbb E(X^2)-\mathbb E(X)^2
\implies 5^2=\mathbb E(X^2)-5^2
\implies\mathbb E(X^2)=50
8 0
3 years ago
A home has a living room that is 14 ft. wide, 22 ft. long, and a height of 9ft. Bob needs to paint
aleksandrvk [35]

Answer:

Step-by-step explanation:

Let's find the volume of the room in ft³ and that will give

14×22×9=2772ft³

There are deductions. Hence we subtract them from this value

3×5=15, but there are two, hence 15×2=30ft²

And 4×7=28ft²

Hence 2772-(30+28)=2714

Dividing this value by 320 gives

8.4(to 2s.f)

3 0
3 years ago
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