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bagirrra123 [75]
3 years ago
11

You are looking at comparable houses with the same asking prices in neighboring towns. The mill rate in the first town is 20 mil

ls. The mill rate in the second town is 37 mills. Both houses are assessed at $175,000. Mill rate is the tax rate that is applied to the assessed value of a real estate property by a municipality. Your tax is calculated by multiplying the mill rate by the assessed value of a property and dividing by 1,000. What is the dollar difference in annual property taxes based on mill rate between the two towns? a) $1,750 b) $6,475 c) $2,975 d) $3,500
Mathematics
1 answer:
zalisa [80]3 years ago
3 0
C) is the answer!!!!!!!
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It's all politics: A politician in a close election race claims that 52% of the voters support him. A poll is taken in which 200
riadik2000 [5.3K]

Answer:

a) P(x ≤ 0.44) = 0.02275

b) The probability of obtaining a sample proportion less than or equal to 0.44 is very low (2.275%), hence, it would be unusual to obtain a sample proportion less than or equal to 0.44.

c) P(x ≤ 0.50) = 0.30854

A probability of 30.854% doesn't scream unusual, but it is still not a very high probability. So, it is still slightly unusual to obtain a sample proportion of less than half of the voters that don't support the politician.

Step-by-step explanation:

Given,

p = population proportion that support the politician = 0.52

n = sample size = 200

(np = 104) and [np(1-p) = 49.92] are both greater than 10, So, we can treat this problem like a normal distribution problem.

This is a normal distribution problem with

Mean = μ = 0.52

Standard deviation of the sample proportion in the distribution of sample means = σ = √[p(1-p)/n]

σ = √[0.52×0.48)/200]

σ = 0.035 ≈ 0.04

a) Probability of obtaining a sample proportion that is less than or equal to 0.44. P(x ≤ 0.44)

We first normalize/standardize/obtain z-scores for a sample proportion of 0.44

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (0.44 - 0.52)/0.04 = -2.00

To determine the probability of obtaining a sample proportion that is less than or equal to 0.44.

P(x ≤ 0.44) = P(z ≤ -2)

We'll use data from the normal probability table for these probabilities

P(x ≤ 0.44) = P(z ≤ -2) = 0.02275

b) Would it be unusual to obtain a sample proportion less than or equal to 0.44 if the politician's claim is true?

The probability of obtaining a sample proportion less than or equal to 0.44 is 0.02275; that is, 2.275%.

The probability of this occurring is very low, hence, it would be unusual to obtain a sample proportion less than or equal to 0.44.

c) If the claim is true, would it be unusual for less than half of the voters in the sample to support the politician?

Sample proportion that matches half of the voters = 0.50

P(x < 0.50)

We follow the same pattern as in (a)

We first normalize/standardize/obtain z-scores for a sample proportion of 0.50

z = (x - μ)/σ = (0.50 - 0.52)/0.04 = -0.50

To determine the probability of obtaining a sample proportion that is less than 0.50

P(x < 0.50) = P(z < -0.50)

We'll use data from the normal probability table for these probabilities

P(x < 0.50) = P(z < -0.50) = 1 - P(z ≥ -0.50) = 1 - P(z ≤ 0.50) = 1 - 0.69146 = 0.30854

Probability of obtaining a sample proportion of less than half of the voters that support the politician = 0.30854 = 30.854%

This value is still not very high, it would still he unusual to obtain such a sample proportion that don't support the politician, but it isn't as unusual as that calculated in (a) and (b) above.

Hope this Helps!!!

3 0
3 years ago
Which expressions are equivalent to 6^16? Check all that apply.
gayaneshka [121]

Answer: (6^-4)^-4 , (6^-2)^-8, (6^8)^2

Step-by-step explanation:

When there is a number with an exponent in a parenthesis raised to another exponent, you multiply the two exponents together. So, in this case we are looking for 2 exponents that give us a product of 16.

4 0
3 years ago
Mark purchases a Nintendo switch for $300 sales tax is 8% on all purchases how much sales tax does Mark pay
jeka57 [31]

Answer:

hey soryy i forgot

Step-by-step explanation:

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2 years ago
The elves were busy
SSSSS [86.1K]
They planted 714 trees I think because 51 times 14 is 714
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2 years ago
Solve x2 = −49 by using square roots.
Grace [21]
Answer is B, There are no real solutions

X=7i, -7i
8 0
2 years ago
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