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3 years ago

Solve: 41 - 8m = 57 A. -2B. 12.25 C. 2D. - 12.25

Mathematics

2 answers:

Sati [7]3 years ago

5 0

Answer:

Step-by-step explanation:

57-41=16

16/-8= -2

m=-2

i hope this helps!

solniwko [45]3 years ago

4 0

Answer: -2

-8m=57-41
-8m=16
m=-2

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Write each equation in slope-intercept form 2x-2y-12=0

Gnom [1K]

Answer: y=x-6

Step-by-step explanation:

2x-2y-12=0

1. Add 2y to both sides:

2x-12=2y

2. Divide both sides by 2

x-6=y

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2 years ago

A consulting firm had predicted that 35% of the employees at a large firm would take advantage of a new company Credit Union, bu

m_a_m_a [10]

Answer:

a) 0.4770

b) 3.9945

c) z-statistics seem a large value

Step-by-step explanation:

a. Find the standard deviation of the sample proportion based on the null hypothesis

Based on the null hypothesis:

$p_{0}$ : 0.35

and the standard deviation σ = $\sqrt{p_{0} *(1-p_{0}) }$ = $\sqrt{0.35 *0.65 }$ ≈0.4770

b. Find the z statistic

z-statistic is calculated as follows:

z= $\frac{X-p_{o} }{\frac{s}{\sqrt{N} } }$ where

X is the proportion of employees in the survey who take advantage of the Credit Union ( $\frac{138}{300}=0.46$ )
$p_{0}$ is the proportion in null hypothesis (0.35)
s is the standard deviation (0.4770)
N is the sample size (300)

putting the numbers in the formula:

z= $\frac{0.46-0.35} }{\frac{0.4770}{\sqrt{300} } }$ = 3.9945

c. Does the z statistic seem like a particularly large or small value?

z-statistics seem a large value, which will cause us to reject the null hypothesis.

4 0

3 years ago

Find the inverse function of : f(x)=2x-6. f(x)=2x−6.

mihalych1998 [28]

$\displaystyle f(x) = 2x - 6 \iff y = 2x - 6 \implies x = 2y - 6 \implies x+ 6 = 2y \implies \\ \\
y = \frac{1}{2}x + 3 \implies \bf f^{-1}(x) = \frac{1}{2}x + 3$