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3 years ago

Which expression is equivalent to 2(3+a)?

Mathematics

1 answer:

nikklg [1K]3 years ago

4 0

Answer:

the answer is b

Step-by-step explanation:

here you go mate

step 1

2(3+a) equation/question

step 2

2(3+a) simplify

(2)(3+a)

step 3

(2)(3)+(2a) add them up

answer

6+2a

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Mustafa contributes 11% of his $67,200 annual salary to his 401k plan. What is his pretax income

skad [1K]

Answer:

Mustafa's pretax income is $59,808.

Step-by-step explanation:

Given in the question Mustafa's annual salary = $67,200

and Mustafa contribute 11% of his salary to his 401 k plan.

Since we know that 401 k plan is a retirement plan in which an employee gets the exemption from his salary on a pretax basis.

Therefore exemption will be = 11% of $67,200

= 67,200×0.11

= $7,392

Now pretax income or taxable income = 67,200-7,392 = $59,808

Therefore pretax income of Mustafa is $59,808.

4 0

3 years ago

An insurance company states that it settles 85% of all life insurance claims within 30 days. A consumer group asks the state ins

BlackZzzverrR [31]

Using the z-distribution, it is found that since the p-value of the test is less than 0.05, we reject the null hypothesis and find that there is enough evidence to conclude that the true proportion of all life insurance claims made to this company that are settled within 30 days is less than 85%.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if there is not enough evidence that the proportion is below 85%, that is:

$H_0: p \geq 0.85$

At the alternative hypothesis, it is tested if there is enough evidence that the proportion is below 85%, that is:

$H_0: p < 0.85$

<h3>What is the test statistic?</h3>

The test statistic is given by:

$z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}$

In which:

$\overline{p}$ is the sample proportion.

p is the proportion tested at the null hypothesis.

n is the sample size.

For this problem, the parameters are:

$p = 0.85, n = 250, \overline{p} = \frac{203}{250} = 0.812$

Hence the test statistic is:

$z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}$

$z = \frac{0.812 - 0.85}{\sqrt{\frac{0.85(0.15)}{250}}}$

z = -1.68

<h3>What is the p-value and the conclusion</h3>

Using a z-distribution calculator, with a left-tailed test, as we are testing if the proportion is less than a value, and z = -1.68, the p-value is of 0.0465.

Since the p-value of the test is less than 0.05, we reject the null hypothesis and find that there is enough evidence to conclude that the true proportion of all life insurance claims made to this company that are settled within 30 days is less than 85%.

More can be learned about the z-distribution at brainly.com/question/16313918

#SPJ1

4 0

2 years ago

Jordans have a rectangular garden. want to build a diagonal pathway across he garden. the length of pathway is 90 ft. width of g

blondinia [14]

So we see the pythagorean theorem
a^2+b^2=c^2
diagonal=c
width=a or b, pick one
width=a
legnth=b
width is 5 times more than 2 times legnth of garden
w=5(2legnth)
this doesn't make sense since the legnth is normally longer than the width, but we'll stick with that
w=5(2l)
w=10l
a=10b
(10b)^2+b^2=90^2
100b^2+b^2=8100
101b^2=8100
divide by 101
b^2=80.198 aprox 80.2
square root
8.95533
legnth of garden =8.96
to find width subsitue
w=10l
w=89.56

legnth=8.96
width=89.56

4 0

3 years ago

Read 2 more answers

The ratio of lambs to chickens is 3:1 respectively. If

netineya [11]

Answer:

Step-by-step explanation:

Ratio of lambs to chickens is 3:1

So if chickens are 8 then lambs are 3 times more.

1u=8

3u=8×3

=24