MATHEMATICS COLLEGE

You want to rent an unfurnishedone-bedroomapartment for next semester. The mean monthlyrent for a random
sample of 10 apartments advertised in the localnewspaper is $580.
Assume that the standard deviation is$90. Find a 95% confidence
interval for the mean monthly rentfor unfurnished one bedroom
apartments available for rent in thiscommunity.

Answers

Answer 1

Answer:

Answer: $(\$524.22,\ \$635.78)$

Step-by-step explanation:

Confidence interval for population mean is given by :-

$\overline{x}\pm z^* (\sigma)/(√(n))$

, where $\overline{x}$ = Sample mean

z* = critical z-value.

$\sigma$ = Population standard deviation.

n= Sample size.

Let x be the denotes the monthly rent for unfurnished one bedroom apartments available for rent in this community.

As per given , we have

n= 10

$\overline{x}=\$580$

$\sigma=\$90$

Critical value for 95% confidence : z* = 1.96

So the 95% confidence interval becomes,

$580\pm (1.96) (90)/(√(10))$

$=580\pm (1.96) (90)/(3.162278)$

$=580\pm (1.96)(28.46)$

$=580\pm 55.78$

$=(580-55.78,\ 580+55.78)=(524.22,\ 635.78)$

Hence, a 95% confidence interval for the mean monthly rent for unfurnished one bedroom apartments available for rent in this community= $(\$524.22,\ \$635.78)$

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What is $45.79 multiplied by .50 equal

Answers

Answer:

$45.79 multiplied by .50 equals 22.895

Answer:

686.85

Step-by-step explanation:

A truck can be rented from Company A for $130 a day plus $0.50 per mile. Company B charges $50 a day plus $0.70 per mile to rent the same truck. How many milesmust be driven in a day to make the rental cost for Company A a better deal than Company B's?
For Company A to have a better deal, the truck must be driven more than miles per day

Answers

Answer:

200 miles

Step-by-step explanation:

hope this helps :)

Answer:

The charges of both companies will be same if truck is driven 200 miles per day

Company A will have better deal if truck is driven more than 200 miles per day ( because per mile rate of company A is less than company B

Step-by-step explanation:

Let the truck is driven X miles per day

Charges of company A will be = 90+0.4X

Charges of company B will be =30+0.7X

Let us find out value of X when charges of both companies are same

which means that 90+0.4 X= 30+0.7X

90-30 = 0.7X-0.4X

60 = 0.3X

60/0.3 = X

X= 200

A genetic test is used to determine if people have a predisposition for thrombosis, which is the formation of a blood clot inside a blood vessel that obstructs the flow of blood through the circulatory system. It is believed that 3% of people actually have this predisposition. The genetic test is 98% accurate if a person actually has the predisposition, meaning that the probability of a positive test result when a person actually has the predisposition is 0.98. The test is 97% accurate if a person does not have the predisposition. What is the probability that a randomly selected person who tests positive for the predisposition by the test actually has the predisposition? (Round your answer to four decimal places.)

Answers

Idk mane but uh I just don’t know

Find mA. 110°
B. 70°
C. 250°
D. 55°

Answers

Answer:

A:100°

Step-by-step explanation:

BECAUSE IS THE SAME

it’s A 110

Same side interior angles are equal

Which is equivalent to 3 square root 8^1/4x

Answers

$(\sqrt[3]{8})^{(1)/(4)x}= 8^{(1)/(3)(1)/(4)x}=8^{(1)/(12)x}=(\sqrt[12]{8})^(x)$

The 3rd choice is appropriate.

Final answer:

To simplify the equation 3 square root 8^1/4x, we can utilize the properties of exponents and roots. This converts the expression to 3 * 8^1/8x.

Explanation:

The original expression in question is 3 square root of 8 raised to the power of 1/4x. We can begin to simplify this expression by first recognizing the properties of exponents. For example, the calculation of 8 raised to the 1/4 power represents the same as taking the fourth root of 8. Furthermore, the square root of a number is the same as raising that number to the power of 1/2.

So, 3 square root (8^1/4x) can be written as 3 * (8^1/4x)^1/2, which simplifies to 3 * 8^1/8x, due to the property that multiply exponents when raising powers to a power. Using properties of exponents helps us in simplifying complex equations.