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shutvik [7]
3 years ago
14

What the answer to (3a^2)^3

Mathematics
2 answers:
shepuryov [24]3 years ago
7 0

Answer:

27a^6

Step-by-step explanation:

3^3 = 27

(a^2)^3 = a^6  (look at the rules in indices)

aniked [119]3 years ago
3 0
Right)^n=a^nb^n$ Apply exponent rule : ( a · b ) n = a n b n. $\left(3a^2\right)^3=3^3\left(a^2\right)^3$(3 a 2) 3= 3 ...
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The overhead reach distances of adult females are normally distributed with a mean of 205.5 and a standard deviation of 8.6 . a.
Anastasy [175]

Answer:

a) 0.073044

b) 0.75033

c) The normal distribution can be used in part (b), even though the sample size does not exceed 30 because initial population size is been distributed normally , therefore, the mean of the samples will be normally distributed regardless of their size(meaning whether the sample size is less than or equal to or exceeds 30, the sample means the mean of the samples will be normally distributed regardless of their size).

Step-by-step explanation:

The overhead reach distances of adult females are normally distributed with a mean of 205.5 and a standard deviation of 8.6 .

a. Find the probability that an individual distance is greater than 218.00 cm.

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 218

μ is the population mean = 205.5

σ is the population standard deviation = 8.6

For x > 218

z = 218 - 205.5/8.6

z = 1.45349

Probability value from Z-Table:

P(x<218) = 0.92696

P(x>218) = 1 - P(x<218) = 0.073044

b. Find the probability that the mean for 15 randomly selected distances is greater than 204.00

When = random number of samples is given, we solve using this z score formula

z = (x-μ)/σ/√n

where

x is the raw score = 204

μ is the population mean = 205.5

σ is the population standard deviation = 8.6

n = 15

For x > 204

Hence

z = 204 - 205.5/8.6/√15

z = -0.67552

Probability value from Z-Table:

P(x<204) = 0.24967

P(x>204) = 1 - P(x<204) = 0.75033

c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

The normal distribution can be used in part (b), even though the sample size does not exceed 30 because initial population size is been distributed normally , therefore, the mean of the samples will be normally distributed regardless of their size(meaning whether the sample size is less than or equal to or exceeds 30, the sample means the mean of the samples will be normally distributed regardless of their size).

3 0
3 years ago
A truck that can carry no more than 6500 lb is being used to transport refrigerators and upright pianos. Each refrigerator weigh
anyanavicka [17]

Answer:

Equation: 300x+425y= 6500 (if you assume that you would get an exact total)

Answer: Yes, 11 refridgerators and 9 pianos will overload the truck because 11x300=3,300 and 9x425=3,825 which in total equals 7,125, which is way too much for the truck.

An equation that works: 300(10)+425(8)=

Step-by-step explanation:

If each refrigerator is 300 pounds and we need to see if 11 would fit on the truck, multiply 300 times 11 which equals 3,300. Next repeat the same step but for the pianos… 425 times 9 which equals 3,825 now you add. You should get 7,125, meaning this ratio is way to large for the truck to carry.

Since this does not work we should try take away one of each. So let’s say the new rati is 10 refrigerators to 8 pianos. We would repeat the same steps from above. 10x300=3,000       8x425=3,400

If we add these, we get 6,400 so the final expression would be 300(10)+425(8)=6,400 which would be the closest the the most you can transport on the truck.

Sorry if this was not the answer you were looking for, I may have misinterpreted the question.

6 0
2 years ago
One year, the population of a city was 164,000. Several years later it was 182,040. Find the percent increase.
ElenaW [278]
182,040-164,000 that’s the answer YOUR WELCOME
3 0
2 years ago
Read 2 more answers
Which angles are corresponding angles?
dangina [55]

Answer: WVX and TSV

Step-by-step explanation:

7 0
3 years ago
Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = –3x2 – 36x – 60?
FromTheMoon [43]

Hey There!! ☄️ The general vertex to The general vertex form is this:

v(x) = a (x-h)2 + k

where (h,k) is the coordinates of the of vertex.

and a indicates the widening or shrinking of the function compared to another parabolic function. If a become bigger, the graph becomes narrower. If a becomes negative, the graph is reflected over the x-axis.

Comparing f(x) = x2 with g(x) = -3(x+6)2 + 48, we have the following transformations:

The graph is reflected over the x-axis

The graph is made narrower.

The graph is shifted 6 units to the left.

The graph is shifted 48 units up.

From the choices we only have:

The graph of f(x) = x2 is made narrower

8 0
3 years ago
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