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3 years ago

Use the correct order of operations to solve the problem below

Mathematics

1 answer:

andrew11 [14]3 years ago

7 0

Answer:

Step-by-step explanation:

The order of operations can be remembered with PEMDAS:

Parentheses

Exponents

Multiplication and

Division from left to right

Addition and

Subtraction from left to right

Example:

$12^2-23+(9*3)$

simplify Parentheses:

$12^2-23+(27)\\12^2-23+27$

simplify Exponents:

$144-23+27$

simplify Addition and Subtraction left to right:

$121+27\\148$

Finito.

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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:
$\frac{0.08(0.92)}{(\frac{0.04}{2.33})^2}=n
\\
\\249.73=n
\\n\approx 250$

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3 years ago

Item 10

storchak [24]

et grass cowbowcowbow

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3 years ago

At noon a tree cast a shadow that is 40' long the distance from the top of the tree to the 1st tip of the shadow is 60' what is

Alla [95]

The Pythagorean theorem can be used for this.
.. (tip distance)² = (shadow length)² + (tree height)²
.. tree height = √((tip distance)² -(shadow length)²)
.. tree height = √((60 ft)² -(40 ft)²) = √(2000 ft²)
.. tree height ≈ 44.72 ft

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3 years ago

PLEASE HELP, EASY QUESTION

GaryK [48]

Answer:

All of the following proportions are equivalent except a/d=c/b.

a/b=c/d

b/a=d/c => a/b = c/d

a/d=c/b not equal to a/b = c/d

a/c=b/d => a/b = c/d

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

How do I simplify this problem?

tamaranim1 [39]

I think you would just have to find the square roots

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3 years ago