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3 years ago

PLEASE HELP ASAP!!! solve for the given variable and show your work. 3a-12b=30. solve for b.

Mathematics

1 answer:

olganol [36]3 years ago

5 0

Answer:

b=(-10-a)/4

First factor out the common number:3

Then divide both sides by 3

Then simplify 30/3 to 10

Then subtract a to get your answer

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Including a 5 percent sales tax, a hotel charges $147 per night. What’s the cost without the tax

Arisa [49]

For one night WITH SALES TAX, it would be $154.35, but without sales tax, it would just be $147.. unless you add tip, you would just multipy the original by the percent of the tip then add that answer to the original price.

Solving Steps:

WITH SALES TAX :
$147 x 5% = 7.35 or $147 x .05 = 7.35
147 + 7.35 = $154.35

5 0

3 years ago

Yesterday, Annie walked 9/10 mile to her friend's house. Together, they walked 1/3 mile to library. Which is the best estimate f

likoan [24]

9/10 is about 10/10 or 1 and 1/3 is about 0, so just add 1+0=0. Annie walked 1 mile yesterday.

Hope that helped:D

4 0

3 years ago

Adecco Workplace Insights Survey sampled men and women workers and asked if they expected to get a raise or promotion this year

fgiga [73]

Answer:

(a) Null Hypothesis, $H_0$ : $p_1-p_2$ $\leq$ 0 or $p_1$ $\leq$ $p_2$

Alternate Hypothesis, $H_a$ : $p_1-p_2$ > 0 or $p_1$ > $p_2$

(b) $\hat p_1$ = sample proportion of men = $\frac{104}{200}$ = 0.52

$\hat p_2$ = sample proportion of women = $\frac{74}{200}$ = 0.37

(c) P-value is 0.0011.

Step-by-step explanation:

We are given that Adecco Workplace Insights Survey sampled men and women workers and asked if they expected to get a raise or promotion this year (USA Today, February 16, 2012).

Suppose the survey sampled 200 men and 200 women. If 104 of the men replied yes and 74 of the women replied yes.

Let $p_1$ = population proportion of men who replied yes

$p_2$ = population proportion of women who replied yes

(a) Null Hypothesis, $H_0$ : $p_1-p_2$ $\leq$ 0 or $p_1$ $\leq$ $p_2$ {means that the population proportion of men is less than or equal to the population proportion of women}

Alternate Hypothesis, $H_a$ : $p_1-p_2$ > 0 or $p_1$ > $p_2$ {means that the population proportion of men is more than the population proportion of women}

(b) $\hat p_1$ = sample proportion of men = $\frac{104}{200}$ = 0.52

$\hat p_2$ = sample proportion of women = $\frac{74}{200}$ = 0.37

The test statistics that will be used here is Two-sample z proportion statistics;

T.S. = $\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1} +\frac{\hat p_2(1-\hat p_2)}{n_2} } }$ ~ N(0,1)

where, $\hat p_1$ = sample proportion of men who replied yes = 0.52

$\hat p_2$ = sample proportion of women who replied yes = 0.37

$n_1$ = sample of men = 200

$n_2$ = sample of women = 200

So, test statistics = $\frac{(0.52-0.37)-(0)}{\sqrt{\frac{0.52(1-0.52)}{200} +\frac{0.37(1-0.37)}{200} } }$

= 3.05

Now at 0.01 significance level, the z table gives critical value of 2.3263 for right-tailed test. Since our test statistics is more than the critical value of z so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the population proportion of men is greater than the population proportion of women.

P-value is given by the following formula;

P(Z > 3.05) = 1 - P(Z $\leq$ 3.05)

= 1 - 0.99886 = 0.0011

Hence, the p-value is 0.0011.

8 0

3 years ago

Anna walks dogs to earn money. She saves $4 for every $10 she earns.

CaHeK987 [17]

Answer:

it that all the question

Step-by-step explanation:

3 0

3 years ago

Please help plz and explain

Liono4ka [1.6K]

Answer:

letter d or b

srry if wrong hope thiss helped

8 0

3 years ago