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IceJOKER [234]
3 years ago
6

If (9^2)^p = 9^8, what is the value of p? A. 2 B. 3 C. 4 D. 6

Mathematics
2 answers:
Oxana [17]3 years ago
8 0
The correct answer is 4

Vikentia [17]3 years ago
5 0
The answer is 4 so C is correct
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What is 81 to the power of 0.5?
Kisachek [45]
It would be 40.5 or 40 1/2
3 0
3 years ago
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For problems 3 and 4, find the missing side of the triangle. Leave answers in simplest radical form.
maria [59]

Answer: 3. 4\sqrt{13}            4. \sqrt{225}    

Step-by-step explanation:

8^2 + 12^3 = c^2

64 + 144 = c^2

208 = c^2

√208

4\sqrt{13}

The final answer is the square root of 208

8^2 + b^2 = 17^2

64 + b^2 = 289

-64               64

   b^2 = 225

\sqrt{225}

 

7 0
3 years ago
The repair cost of a Subaru engine is normally distributed with a mean of $5,850 and a standard deviation of $1,125. Random samp
Yuri [45]

Answer:

C. $5180

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Z-scores lower than -2 or higher than 2 are considered unusual.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random normally distributed variable X, with mean \mu and standard deviation \sigma, the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 5850, \sigma = 1125, n = 20, s = \frac{1125}{\sqrt{20}} = 251.56

Which of the following mean costs would be considered unusual?

We have to find the z-score for each of them

A. $6350

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{6350 - 5850}{251.56}

Z = 1.99

Not unusual

B. $6180

Z = \frac{X - \mu}{s}

Z = \frac{6180 - 5850}{251.56}

Z = 1.31

Not unusual

C. $5180

Z = \frac{X - \mu}{s}

Z = \frac{5180 - 5850}{251.56}

Z = -2.66

Unusual, and this is the answer.

3 0
3 years ago
A bus is traveling at a constant speed. If the bus travels 15 1 2 15 1 2 miles in 1 3 1 3 of an hour, how many miles will the bu
fiasKO [112]

Answer:

46 1/2 miles

Step-by-step explanation:

Given that:

Bus traveled at a constant speed ;

Miles traveled = 15 1/2 miles

Time taken for the travel = 1/3 of an hour

Number of miles bus will travel in 1 hours :

Let number of miles traveled in 1 hour = n

15 1/2 miles = 1/3 hour

n miles = 1 hour

Cross multiply :

1/3 * n = 15 1/2 * 1

1/3n = 31/2

Divide both sides by 1/3

n = 31/2 ÷ 1/3

n = 31/2 * 3/ 1

n = 93/2

n = 46.5 miles = 46 1/2 miles

3 0
3 years ago
Please help will mark BRAINLIEST <br>​
Julli [10]

Answer:

A.)

-2, -1, 0, 1, 2, 3, 4, 5, 6

Step-by-step explanation:

mark me brainliest!!

4 0
2 years ago
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