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morpeh [17]
3 years ago
13

5. Jane can paint the office by herself in 7 hours. Working with an associate, she can paint the office in 3 hours. How long wou

ld it take her associate to do it working alone?
Mathematics
1 answer:
AURORKA [14]3 years ago
3 0

Answer:

5.3 hours

Step-by-step explanation:

Jane can paint the office by herself in 7 hours.

with an associate, she can paint the office in 3 hours.

The combined work rate is 3 hours per office

Required

the work rate for the associate

Step two:

let the expression for the wok rate be

1/A+1/B= 1/T

1/7+1/B=1/3

1/B=1/3-1/7

1/B= 8-4/21

1/B= 4/21

B= 21/4

B=5.3 hours

the work rate for the associate is 5.3 hours

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Consider the function f(x)=3x+1 and the graph of the function g(x) shown below
ehidna [41]

Answer:

7

down

3x-6

Step-by-step explanation:

g(x)=3x-6

f(x)=3x+1

Thus, g(x) is just f(x)-7

4 0
3 years ago
Solving Quadratic Equations posttest <br><br> A.<br> B.<br> C.<br> D.
beks73 [17]

Answer:

D. x = 3 \pm \sqrt{10}

Step-by-step explanation:

x^2 - 6x - 1 = 0

x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}

a = 1; b = -6; c = -1

x = \dfrac{-(-6) \pm \sqrt{(-6)^2 - 4(1)(-1)}}{2(1)}

x = \dfrac{6 \pm \sqrt{36 + 4}}{2}

x = \dfrac{6 \pm \sqrt{40}}{2}

x = \dfrac{6 \pm \sqrt{4 \times 10}}{2}

x = \dfrac{6 \pm 2 \sqrt{10}}{2}

x = 3 \pm \sqrt{10}

8 0
3 years ago
If a tabletop has a diameter of 42 inches, what is the surface area to the nearest inch? (pi = 3.14)
Paha777 [63]

Answer:

1345.44

Step-by-step explanation:

Area of a circle is pi times the radius squared.

So 21 x 21 x 3.14

8 0
3 years ago
A null hypothesis is that the mean nose lengths of men and women are the same. The alternative hypothesis is that men have a lon
algol [13]

Answer:

b. There is not enough evidence to say that the populations of men and women have different mean nose lengths.

See explanation below.

Step-by-step explanation:

Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the means for the two groups are different (men have longer mean nose length than women), the system of hypothesis would be:

Null hypothesis:\mu_{men} \leq \mu_{women}

Alternative hypothesis:\mu_{men} > \mu_{women}

Assuming that we know the population deviations for each group, for this case is better apply a z test to compare means, and the statistic is given by:

z=\frac{\bar X_{men}-\bar X_{women}}{\sqrt{\frac{\sigma^2_{men}}{n_{men}}+\frac{\sigma^2_{women}}{n_{women}}}} (1)

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Let's assume that the calculated statistic is z_{calc}

Since is a right tailed test test the p value would be:

p_v =P(Z>z_{calc})=0.225

And we know that the p value is 0.225. If we select a significance level for example 0.05 or 0.1 we see that p_v >\alpha

And on this case we have enough evidence to FAIl to reject the null hypothesis that the means are equal. So then the best conclusion would be:

b. There is not enough evidence to say that the populations of men and women have different mean nose lengths.

8 0
3 years ago
HELPPP!!
katrin [286]

Answer:

It is (-3-(-6)+5)^4=4096

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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