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vodka [1.7K]
3 years ago
14

The amount of a person’s paycheck p varies directly with the number of hours worked t. For 10 hours of work, the paycheck is $57

.50. Write an equation for the relationship between hours of work and pay.
Mathematics
2 answers:
Flauer [41]3 years ago
8 0
P=5.75t
because it adds up every hour.
otez555 [7]3 years ago
4 0
10 hr  for 57.750
So 1 hr would be 5.750$
 For 2 hrs it is 11.500 $
 Means every single hrs increse paycheck increase bythe same ratio
So equation is p= 5.750×t
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A student wanted to construct a 95% confidence interval for the average age of students in her statistics class. She randomly se
Darina [25.2K]

Answer: (17.42, 20.78)

Step-by-step explanation:

As per given , we have

Sample size : n= 9

\overline{x}=19.1 years

Population standard deviation is not given , so it follows t-distribution.

Sample standard deviation : s= 1.5 years

Confidence level : 99% or 0.99

Significance level : \alpha= 1-0.99=0.01

Degree of freedom : df= 8  (∵df =n-1)

Critical value : t_c=t_{(\alpha/2,\ df)}=t_{0.005,\ 8}= 3.355

The 99% confidence interval for the population mean would be :-

\overline{x}\pm t_c\dfrac{s}{\sqrt{n}}

19.1\pm (3.355)\dfrac{1.5}{\sqrt{ 9}}\\\\=19.1\pm1.6775\\\\=(19.1-1.6775,\ 19.1+1.6775)\\\\=(17.4225,\ 20.7775)\approx(17.42,\ 20.78)

Hence, the 99% confidence interval for the population mean is (17.42, 20.78) .

7 0
3 years ago
Emily, Jean, and Amanda live in apartments on the 5th, 6th and 7th floors. One girl likes basketball, one likes football, and th
ss7ja [257]

Answer:

Assuming you mean baseball in stead of basketball, if must be the 5th floor.

Step-by-step explanation:

"The girl on the fifth floor thinks soccer is boring" implies that on the 5th floor lives the football or baseball fan. However, it cannot be the football fan since it is already known that she lives on 6th.

So the baseball fan, which is Jean, lives on 5th.

3 0
4 years ago
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Nikolay [14]

20% off means it is selling for 80% of the original price ( 100% - 20% =80%)

Divide the sale price by 80% as a decimal:

380/0.80 = 475

The original price was $475

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475 x 0.20 = 95

475-95 = $380 which is the sale price.

5 0
3 years ago
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kykrilka [37]

Given:

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Sales tax = $3.15

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Amount spent of 2 DVDs = Cost of 2 DVDs + Sales tax - Coupon discount

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