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n200080 [17]
2 years ago
5

Eli and Samantha work at a dry cleaners ironing shirts. Eli can iron 20 shirts per hour, and Samantha can iron 35 shirts per hou

r. Samantha worked 2 more hours than Eli and they ironed 400 shirts between them. Write a system of equations that could be used to determine the number of hours Eli worked and the number of hours Samantha worked. Define the variables that you use to write the system. PLS HELP
Mathematics
1 answer:
MrRa [10]2 years ago
5 0

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> the number of hours Eli worked

y ----> the number of hours Samantha worked

we know that

Eli and they ironed 400 shirts between them

so

 ----> equation A

Samantha worked 2 more hours than Eli

so

----> equation B

solve the system by substitution

substitute equation B in equation A

solve for x

Find the value of y

substitute the value of x in equation B

therefore

The number of hours Eli worked was 6 and the number of hours Samantha worked was 8

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The average household income for a recent year was $30,000. five years earlier the average household income was $24,500. assume
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Using hypothesis test, we conclude that there is evidence to believe that the average household income has increased.

According to the question,

The average household income for a recent year (x₁⁻) = $30,000

The average household income for a recent year (x₂⁻) = $24,500

sample sizes n₁ = n₂ = 34

standard deviation of both samples were $24,500. Thus, s₁ = s₂ = $5928.

Null hypothesis:  There is no evidence to believe that the average household income has increased.

H₀ : μ₁ ≤ μ₂

Alternative hypothesis:  There is evidence to believe that the average household income has increased.

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To check hypothesis we have the formula

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= \sqrt{2067128.4706}

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Thus, standard error is $1437.7512.

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= 3.8254

The critical value of z at 5% level of significance is 1.6449.

Here, the calculated value is greater than the critical value so we reject H₀.

Hence using hypothesis test, we conclude that there is evidence to believe that the average household income has increased.

Learn more about hypothesis test here

brainly.com/question/15060525

#SPJ2

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