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3 years ago

Make a the subject of the formula:p=2a-3

1 answer:

5 0

To make a the subject we proceed as follows:
p=2a-3
add 3 on both sides
3+p=2a-3+3
simplifying the above gives us:
3+p=2a
divide both through by 2
3/2+p/2=(2a)/2
thus
a=3/2+p/2

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How do you write 84% as a fraction, mixed number, or whole number in simplest form?

melomori [17]

0.84 [Decimal] And in simplest form.

8 0

3 years ago

Read 2 more answers

Compute the standard error for sample proportions from a population with proportion p= 0.55 for sample sizes of n=30, n=100 and

Pani-rosa [81]

Given Information:

Population proportion = p = 0.55

Sample size 1 = n₁ = 30

Sample size 2 = n₂ = 100

Sample size 3 = n₃ = 1000

Required Information:

Standard error = σ = ?

Answer:

$\sigma_1 = 0.091$

$\sigma_2 = 0.050$

$\sigma_3 = 0.016$

Step-by-step explanation:

The standard error for sample proportions from a population is given by

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

Where p is the population proportion and n is the sample size.

For sample size n₁ = 30

$\sigma_1 = \sqrt{\frac{p(1-p)}{n_1} }$

$\sigma_1 = \sqrt{\frac{0.55(1-0.55)}{30} }$

$\sigma_1 = 0.091$

For sample size n₂ = 100

$\sigma_2 = \sqrt{\frac{p(1-p)}{n_2} }$

$\sigma_2 = \sqrt{\frac{0.55(1-0.55)}{100} }$

$\sigma_2 = 0.050$

For sample size n₃ = 1000

$\sigma_3 = \sqrt{\frac{p(1-p)}{n_3} }$

$\sigma_3 = \sqrt{\frac{0.55(1-0.55)}{1000} }$

$\sigma_3 = 0.016$

As you can notice, the standard error decreases as the sample size increases.

Therefore, the greater the sample size lesser will be the standard error.

8 0

4 years ago

Kelly wants to buy a dress that costs $40.00. She has a coupon for 25% off, and

Sophie [7]

A percentage is a way to describe a part of a whole. The amount that Kelly will pay for the dress is $33.

<h3>What are Percentages?</h3>

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given Kelly wants to buy a dress that costs $40.00. She has a coupon for 25% off, and there is a 10% sales tax. Therefore, the amount she will pay is,

25% of $40.00 is,

0.25 × $40 = $10

After using the coupon, the sale price is,

$40 - $10 = $30

The 10% tax on the sale price is,

0.10 × $30 = $3

The final price is $

$30 + $3 = $33

Hence, the amount that Kelly will pay for the dress is $33.

Learn more about Percentages:

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3 0

2 years ago

How many outcomes are there in the sample space for rolling 2 dice?

Shalnov [3]

Assuming there are 6 sides on the dice, then there are 36 different outcomes

The 36 comes from the result of 6*6 = 36

If you want, you can draw out a table that has 6 rows and 6 columns. There will be 36 cells which are the results of adding any two combinations of the two dice.

8 0

3 years ago

the area of a rectangular patio is represented by the expression 6x^2+13-5. the width of the patio is (3x-1) write an expression

jok3333 [9.3K]

I think you meant 6x²+13x-5 so first thing we have to do is factor it which is really quite tricky with this kind of trinomial so first take ac which is 6 times -5 so -30 now figure out factors of -30 that will add up to 13 how about 15 and -2 now that we have the factors write the equation again

6x²+15x-2x-5 split the equation in half

6x²+15x -2x-5 so out of the first equation we can pull a 3x out

3x(2x+5) and out of the second we can pull a negative 1

3x(2x+5) -1(2x+5) rewrite it

(3x-1)(2x+5) so the 3x-1 is the factor we already had so the other side is (2x+5)

HOPE THIS HELPS!!!

6 0

4 years ago