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3 years ago

Please help me .......

Mathematics

1 answer:

FromTheMoon [43]3 years ago

7 0

Answer:

Step-by-step explanation:

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"a pollster wishes to estimate the number of left-handed scientists. how large of a sample is needed in order to be 98% confiden

nadezda [96]

The sample size should be 250.

Our margin of error is 4%, or 0.04. We use the formula

$\text{ME}=z\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$

To find the z-score:
Convert 98% to a decimal: 0.98
Subtract from 1: 1-0.98 = 0.02
Divide both sides by 2: 0.02/2 = 0.01
Subtract from 1: 1-0.01 = 0.99

Using a z-table (http://www.z-table.com) we see that this value has a z-score of approximately 2.33. Using this, our margin of error and our proportion, we have:

$0.04=2.33\sqrt{\frac{0.08(1-0.08)}{n}}
\\
\\0.04=2.33\sqrt{\frac{0.08(0.92)}{n}}$

Divide both sides by 2.33:
$\frac{0.04}{2.33}=\sqrt{\frac{0.08(0.92)}{n}}$

Square both sides:
$(\frac{0.04}{2.33})^2=\frac{0.08(0.92)}{n}$

Multiply both sides by n:
$(\frac{0.04}{2.33})^2n=0.08(0.92)$

Divide both sides to isolate n:
$\frac{0.08(0.92)}{(\frac{0.04}{2.33})^2}=n
\\
\\249.73=n
\\n\approx 250$

4 0

3 years ago

Please help me asap!!!!!!!

rewona [7]

9514 1404 393

Answer:

(b) Symmetric property of congruence

Step-by-step explanation:

a) The transitive property says if a=b and b=c then a=c

b) The symmetric property says if a=b then b=a

c) The substitution property says if a=b and a=c then b=c

d) The reflexive property says a=a

The property of congruence of interest here is the symmetric property.

5 0

3 years ago

What is the measure of one exterior angle of a regular hexagon? a. 60 b.72 c. 90

Molodets [167]

To find the exterior angle measure we would use the following formula:
$\frac{360~degrees }{number ~of ~sides}$
A regular hexagon has 6 sides so we divide:
360/6 which equals 60
So our final answer would be A. 60

5 0

3 years ago

How do I do this I'm am really confused?

MrMuchimi

Since (4y-42) and 2y are opposite angles, they equal to each other which looks like this:

4y-42 = 2y

From there you want to put the y onto one side:

4y-2y-42=0 -----> 2y-42=0

You want to balance the equation out and move the -42 onto the other side so you add it to both sides to get:

2y=42

Then divide both sides by 2 to get:

y= 21

From there you can plug 21 back into the original equation to find each angle.

4(21)-42 = 2(21) ---> 84-42 = 42 ---> 42 = 42

So y = 21 and each angle is 42 degrees

6 0

3 years ago

What is the slope of the line that contains the points (4, –1) and (–1, 4)?

BaLLatris [955]

I believe the correct answer is B. -5

4 0

3 years ago

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