1) -4/3 2) -3/4 3) 10/17 4)17/10

If 5a+b=14 then a = what explain how you got it pls

Trava [24]

Answer:

$a = \frac{14 - b}{5}$

Step-by-step explanation:

The rule to know and follow is:

You can add, subtract, multiply or divide by anything so long as the same thing is done to both sides of the equals sign;

5a + b = 14

If we want to get: "a = ...", then we use the rule to isolate the variable a on one side of the equation;

Firstly, we subtract b from both sides:

5a + b - b = 14 - b

5a = 14 - b

Then, divide both sides by 5:

$\frac{5a}{5} = \frac{14 - b}{5} \\\\ a = \frac{14 - b}{5}$

8 0

2 years ago

A square patio has an area of 200 square feet how long is each of the patio to the nearest tenth?

denis-greek [22]

14.1 feet make up each side

8 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

4 years ago

Suppose you have $10,000 to invest. Which investment yields the greater return over 7 years: 6.6% compounded monthly or 6.7% com

joja [24]

Answer:

C) $10,000 invested at 6.7% compounded quarterly over 7 years yields the greater return.

Step-by-step explanation:

-We determine the effective interest rate in both scenarios and use it to calculate the investment's value after 7 years.

#Given n=7yrs, P=$10,000 and i=6.6% compounded monthly:

$i_m=(1+i/m)^m-1\\\\=(1+0.066/12)^{12}-1=0.06803\\\\\therefore A=P(1+i_m)^n\\\\=10000(1.06803)^7\\\\\approx \$15,852.00$

#Given n=7rs, P=10000, i=6.7%

$i_m=(1+i/m)^m-1\\\\=(1+0.067/4)^{4}-1=0.06870\\\\\therefore A=P(1+i_m)^n\\\\=10000(1.06870)^7\\\\\approx \$15,921.75$

Hence, the investment has the largest value($15,921.75) when the interest rate is compounded quarterly.

8 0

3 years ago

Anybody know the Answer ???

Aliun [14]

Answer:

X=16

Step-by-step explanation:

Since the lines are parallel the angles are equal so set the equations equal

3 0

3 years ago