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3 years ago

7

mariah has been hired as a receptionist.She is paid a flat rate of $225 each week and ears an additional $11.25 for every hour t

hat she works. If her goal is to make 675 in one week which equation will help Mariah determine the number of hours she must work?

1 answer:

blsea [12.9K]3 years ago

5 0

675 = 225 + 11.25h <== ur equation

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What is the area of this figure?

Oksanka [162]

<h3>Answer: 297 square cm</h3>

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Work Shown:

Break up the figure as shown in the diagram below.

A rectangle and trapezoid form

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3 years ago

A college entrance exam company determined that a score of 24 on the mathematics portion of the exam suggests that a student is

seraphim [82]

Answer:

a) The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at 0.01% level of significance

<em>They score is above 24 on the math portion of the exam</em>

<em>b) </em>

<u><em>Null Hypothesis</em></u>: There is no significance difference between the college level mathematics and math courses in high school

H₀: μ = 24

<u>Alternative Hypothesis: </u>H₁: μ ≠ 24

<u>Step-by-step explanation:</u>

<u><em>Step(i)</em></u>:-

Given random sample 'n' = 250

Given data sample mean x⁻ = 24.5

Standard deviation = 3.3

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H₀: μ = 24

<u>Alternative Hypothesis: </u>H₁: μ ≠ 24

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$Z = \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }$

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a) 99% or 0.01% level of significance

Level of significance ∝ = 0.01

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.01}{2} } = Z_{0.005} =2.576$

The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at 0.01% level of significance

<em>They score is above 24 on the math portion of the exam</em>

b) 95% or 0.05% level of significance

Level of significance ∝ = 0.05

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96$

The Z -value 2.397 > 1.96 at 95% or 0.05% level of significance

Null hypothesis is Rejected at 0.05% level of significance

<em>They score is below 24 on the math portion of the exam</em>

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3 years ago