In the complex number system, which expression is equivalent to (3 - 5i) - (7

What is the quotient of 34.1 divided by 100

Andreyy89

The answer is 0.341 u divide it

4 0

3 years ago

The average size of a new house built in a Hays county in 2010 was 1,872 square feet. A random sample of 40 new homes built in H

vlada-n [284]

Answer:

The test statistic is z = 2.7.

The pvalue of the test is 0.0035 < 0.05, which means that this sample provides enough evidence to conclude that the average house size has increased in the Hays County since 2010.

Step-by-step explanation:

The average size of a new house built in a Hays county in 2010 was 1,872 square feet. Evidence that it has increased?

This means that the null hypothesis is:

$H_0: \mu = 1872$

And the alternate hypothesis is:

$H_a: \mu > 1872$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

1872 is tested at the null hypothesis:

This means that $\mu = 1872$

Sample of 40. The average square footage was 2,031 with a standard deviation of 373 square feet.

This means that $n = 40, X = 2031, \sigma = 373$

Value of the test-statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{2031 - 1872}{\frac{373}{\sqrt{40}}}$

$z = 2.7$

Pvalue and decision:

The pvalue of the test is the probability of finding a sample mean above 2031. This is 1 subtracted by the pvalue of z = 2.7.

Looking at the z-table, z = 2.7 has a pvalue of 0.9965

1 - 0.9965 = 0.0035

The pvalue of the test is 0.0035 < 0.05, which means that this sample provides enough evidence to conclude that the average house size has increased in the Hays County since 2010.

7 0

3 years ago

What number when added to 1 1/3 gives 2?

Ilya [14]

Answer:

The answer is two thirds,

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

anna is buying a house selling for 185,000. to obtain the mortgage, anna is required to make a 20% down payment. anna obtains a

JulsSmile [24]

Answer:

a. The Amount of the required down payment is $37,000

b. The amount of the mortgage is $148,000

c. The monthly payment for principal and interest is $953.62 per month

Step-by-step explanation:

a) In order to calculate the Amount of the required down payment we would have to use the following formula:

Amount of down payment = Value of home x Required down payment percentage

= $185,000 x 20%

= $37,000

b) In order to calculate the Amount of the mortgage we would have to use the following formula:

Amount of the mortgage = Value of home – Down payment

= $185,000 - $37,000

= $148,000

c) Loan Amount (P) = $148,000

Monthly Interest Rate (n) = 0.5% per month [6.00% / 12 Months]

Number of months (n) = 300 Months [25 Years x 12 Months]

Therefore, the Monthly Loan Payment = [P x {r (1 + r)n} ] / [(1 + r)n – 1]

= [$148,000 x {0.005 x (1 + 0.005)∧300}] / [(1 + 0.005)∧300 – 1]

= [$148,000 x {0.005 x 4.464}] / [4.464 – 1]

= [$148,000 x 0.02232] / 3.464

= $3,303.36 / 3.464

= $953.62 per month

The monthly payment for principal and interest is $953.62 per month

4 0

3 years ago

Work out the length of the perimeter.

PilotLPTM [1.2K]

Try this option:
According to property such triangle
1. area=0.5*a*b, where a and b - the sides of angle 90°.
Using this equation: 180=0.5*40*b, ⇒ b=9.
2. c²=a²+b², ⇒c=√(9²+40²)=41 - the third side of the triangle;
3. Perimeter=a+b+c=9+40+41=90 cm.

answer: 90 cm.

3 0

3 years ago

In the complex number system, which expression is equivalent to (3 - 5i) - (7 - 81)?