HELP ASAP !!! please

state which basic Property of addition or multiplication justifies truth of the mathematical expressions 0+7y+2=7y+2

dlinn [17]

The given equation is:

0 + 7y + 2 = 7y + 2

This equation is showing that addition of 0 leaves the expression unchanged. 0 is known as the Additive Identity this means if we add or subtract 0 from any expression, number or equation the result won't be changed.

Therefore, the equation satisfied the property of Additive Identity of Real Numbers.

8 0

3 years ago

Sample Size for Proportion As a manufacturer of golf equipment, the Spalding Corporation wants to estimate the proportion of gol

Dima020 [189]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{2.58})^2}=2662.56$

And rounded up we have that n=2663

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$t_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.025$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

We can assume an estimated proportion of $\hat p =0.5$ since we don't have prior info provided. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{2.58})^2}=2662.56$

And rounded up we have that n=2663

6 0

3 years ago

If you deposited a penny on May 1st and doubled what you deposited each day for a month, how many pennies would you be depositin

PIT_PIT [208]

Answer:

30

Step-by-step explanation:

8 0

3 years ago

Can someone please help me please asap ?? I’ll mark brainlist !!!

inna [77]

The answer is C!
Hope this helped! :))

7 0

3 years ago

Read 2 more answers

If a person invests $100 at 4% annual interest, find the approximate value of

tekilochka [14]

Answer:

$140

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Simple Interest Rate Formula: $\displaystyle A = P(1 + rt)$

P is principle amount
r is rate
t is time

Step-by-step explanation:

Step 1: Define

Identify variables

P = 100

r = 4% = 0.04

t = 10

Step 2: Find Interest

Substitute in variables [Simple Interest Rate Formula]: A = 100(1 + 0.04 · 10)
(Parenthesis) Multiply: A = 100(1 + 0.4)
(Parenthesis) Add: A = 100(1.4)
Multiply: A = 140

5 0

3 years ago