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2 years ago

4. Solve the inequality and graph the solution. Show work 3k > 5k + 12

Mathematics

1 answer:

Stels [109]2 years ago

6 0

Answer:

Your answer is k< -6

Step-by-step explanation:

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A sample size must be determined for estimating a population mean given that the confidence level is % and the desired margin o

Sauron [17]

Complete Question

The complete question is shown on the first uploaded image

Answer:

$n =290$

$n =129$

The correct option is D

Step-by-step explanation:

From the question we are told that

The margin of error is $E = 0.23$

The largest value is k = 15

The smallest value is u = 7

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally population standard deviation estimate is mathematically represented as

$\sigma = \frac{Range }{4}$

Here the Range is mathematically represented as

$Range = k - u$

=> $Range = 15 - 7$

=> $Range = 8$

=> $\sigma = \frac{8 }{4}$

=> $\sigma = 2$

Generally the sample size is mathematically represented as

$n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2$

=> $n = [1.96 * 2 }{0.23} ] ^2$

=> $n =290$

Generally to obtain a conservatively small sample size the population standard deviation estimate becomes

=> $\sigma = \frac{Range }{6}$

=> $\sigma = \frac{8 }{6}$

=> $\sigma =1.333$

Generally the conservatively small sample size is mathematically evaluated as

$n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2$

=> $n = [1.96 * 1.333 }{0.23} ] ^2$

=> $n =129$

6 0

3 years ago

I am not understanding this question.

vredina [299]

Answer:

boardgamegeek.com/boardgame/245655/kings-dilemma

Step-by-step explanation:

7 0

3 years ago

What is the value of y in this equation? 0.017y = 5.1

Ne4ueva [31]

I am guessing that y = 300.

Hope this helps

Happy Holidays.

8 0

3 years ago

Read 2 more answers

Math question need help with substation please?

Juliette [100K]

2 solutions

X= 16

X=49

Step-by-step explanation:

original equation

x-11√x+28 = 0

Isolate

-11√x = -x-28+0

Tidy up

11√x = x+28

Raise both sides to the second power

(11√x)2 = (x+28)2

After squaring

121x = x2+56x+784

Plug in 49 for x

11√(49) = (49)+28

Simplify

11√49 = 77

Solution checks !!

Solution is:

x = 49

Plug in 16 for x

11√(16) = (16)+28

Simplify

11√16 = 44

Solution checks !!

Solution is:

x = 16

3 0

3 years ago

Nimisha wants to draw a wheel like the one shown. Each shaded part of the wheel should be one-third of each unshaded part. What

ivolga24 [154]

Answer:

Each shade has a 22.5 degree angle from the middle

Each unshaded has a 67.5 degree angle from the middle.

Step-by-step explanation:

You can solve this by making each unshaded part equal to x and each shaded part equal 1/3x it is a circle so it has to equal 360 so you end up with:

x + 1/3x + x + 1/3x + x + 1/3x + x + 1/3x = 360

Combine Like terms:

16/3x = 360

Multiply both sides by the opposite:

(3/16) (16/3x) = (360) (3/16)

x=135/2 or x=67.5

Then you can plug 67.5 in for x:

1/3x ---> 1/3(67.5) = 22.5

3 0

3 years ago