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3 years ago

Factor the polynomial: x(5x – 8) – 2(5x – 8)

Mathematics

1 answer:

monitta3 years ago

3 0

Answer:

(x-2)(5x-8)

Step-by-step explanation:

x(5x-8)-2(5x-8)

Since both have 5x-8 we can factor by grouping.

(x-2)(5x-8)

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About 5% of hourly paid workers in a regioner the prevailing minimum wage or less A grocery chain offers discount rates to compa

Fed [463]

Answer:

Step-by-step explanation:

Let X to be a random variable that looks a binomial distribution which denoted the number of employees out of the 281 who earn the prevailing minimum wage or less

The sample size n = 281

The population parameter p = 5% = 0.05

Using normal approximation for the mean.

$\mu = np$

$\mu = 281\times 0.05$

$\mu = 14.05$

The standard deviation is:

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

$\sigma = \sqrt{281 \times 0.05(1-0.05)}$

$\sigma = \sqrt{281 \times 0.05(0.95)}$

$\sigma = \sqrt{13.3475}$

$\sigma =3.6534$

By using continuity correction; the sample mean x is:

x = 30 - 0.5

x = 29.5

The z statistic test can now be as follows:

$Z = \dfrac{x-\mu}{\sigma}$

$Z = \dfrac{29.5-14.05}{3.6534}$

$Z = \dfrac{15.45}{3.6534}$

Z = 4.23

Thus, the probability that company A will get a discount is

P(X ≥ 30) = P(Z >4.23)

= 1 - P(Z < 4.23)

By using the Excel function for the z score 4.23 i.e. "=1 - NORMSDIST(4.23)" we get;

= 0.0000

7 0

3 years ago

Marcella Heinz purchased office supplies at Office Emporium for $107.64. She then purchased an English-Spanish dictionary for $1

Sliva [168]

The total amount of tax on her purchases to the nearest cent will be $9.97

Explanation

Marcella Heinz purchased office supplies for $107.64 and then she purchased an English-Spanish dictionary for $16.95

So, the total amount of her purchases $=\$107.64+\$16.95=\$ 124.59$

On the total amount of the purchases, she paid state sales tax of 7.5% and the county tax of 0.5%

So, the amount of the state sales tax $=\$124.59*7.5\%= \$124.59*0.075=\$9.34425$

and the amount of county tax $=\$124.59*0.5\% =\$124.59*0.005 = \$0.62295$

Thus, the total amount of tax on her purchases $=\$9.34425+\$0.62295= \$9.9672 \approx 9.97$ (Rounded to the nearest cent)

8 0

4 years ago

Use prime factorization to reduce each fraction 1. 22/165 2. 35/210

yKpoI14uk [10]

Lets find the prime factorization of 22, 165, 35 and 210. Prime factorization of a number is breaking a number down into the set of prime numbers which multiply together to result in the original number.

The prime factorization of the number 22 is: