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madreJ [45]
3 years ago
10

A worker earns 9 dollars per hour for a regular workday and $13.50 per hour for additional hours. if the worker was paid $114.75

for an 11-hour workday, what is the length of a regular workday?
Mathematics
1 answer:
jarptica [38.1K]3 years ago
7 0

Let us assume that the number of hours of regular work day to be "X". Since the total number of hours worked is 11, the additional hours that the worker put in would be "11-X"

Now, we form the equation to solve for X.

The wage for a regular hours is $9 for X hours worked which would make the pay = 9X

The wage for additional "11-X" hours is $13.50 which would make the pay = (11-X)*13.50

The total the worker was paid for 11 hours is 114.75, so the equation would be

9X +(11-X)*13.50 = 114.75

9X +148.5-13.50X = 11.75

4.5X = 33.75

X = 7.5

So, the length of a regular workday is 7.5 hours

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A simple random sample of 36 men from a normally distributed population results in a standard deviation of 10.1 beats per minute
Katyanochek1 [597]

Answer:

Step-by-step explanation:

Given that:

sample size n = 36

standard deviation = 10.1

level of significance ∝ = 0.10

The null hypothesis and the alternative hypothesis can be computed as follows:

H_0 : \sigma = 10

H_1 : \sigma \neq 10

The test statistics can be computed as follows:

X^2 = \dfrac{(n -1)s^2 }{\sigma ^2}

X^2 = \dfrac{(36 -1)10.1^2 }{10^2}

X^2 = \dfrac{(35)102.01 }{100}

X^2 = \dfrac{3570.35 }{100}

X^2 =35.704

degree of freedom = n - 1 = 36 - 1 = 35

Since this test is two tailed .

The P -value can be determined by using the EXCEL FUNCTION ( = 2 × CHIDIST(35.7035, 35)

P - value = 2 × 0.435163515

P - value = 0.8703      ( to four decimal places)

Decision Rule : To reject the null hypothesis if  P - value is less than the 0.10

Conclusion: We fail to reject null hypothesis ( accept null hypothesis) since p-value is greater than 0.10 and we conclude that there is sufficient claim that the normal range of pulse rates of adults given as 60 to 100 beats per minute resulted to a standard deviation of 10 beats per minute.

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3 years ago
Convert 498,000 into scientific notation​
Paladinen [302]

Hello! The answer to your question would be as followed:

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8 0
3 years ago
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its five points...

Step-by-step explanation:

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PLS HURRY FIRST ONE TO DO IT GETS BRAINLEIST Maria and her classmates are standing with other people in a line of 35 people wait
solniwko [45]

Answer:

7 classmates

Step-by-step explanation:

The last person in the line is in position 35.

The Maria's leading classmate is in the position 35-23+1 = 13.

So, Maria's classmates are from position 13 to 19 (not including herself), and their number is 19-12 = 7 persons.

ANSWER.  Maria has 7 classmates  (not including herself).

Hope this helps.

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3 years ago
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