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ohaa [14]
3 years ago
13

50 POINTS what is the average rate of change of the function f(x)=3x^2 on the interval from 0 to 2?

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
5 0

Answer:

f=3x-2

Step-by-step explanation:

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How do I solve 4^-3? ( four to the power of negative three)
Liono4ka [1.6K]
4^-3 

You first need to make the exponent positive. To do this put it in a fraction.

1/4^3

Now solve the exponent. 

4 * 4 * 4 =
   ^
  16*4 = 64 

1/64 is your answer

7 0
3 years ago
In a test, John was able to answer 15 correct out of 40 questions. Beth was able to answer 24 questions correctly out of 50. Mic
Helen [10]

Answer:

that is wrong beth has a better score

Step-by-step explanation:

14 out of 40 is 37.5%

and 24 out of 50 is 48%

4 0
2 years ago
A consumer group has determined that the distribution of life spans for gas ranges (stoves) has a mean of 15.0 years and a stand
Art [367]

Answer:

b. Mean = 1.6 years, standard deviation - 0.92 years, shape: approximately Normal.

Step-by-step explanation:

Central Limit Theorem

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

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal Variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

A consumer group has determined that the distribution of life spans for gas ranges (stoves) has a mean of 15.0 years and a standard deviation of 4.2 years. Sample of 35:

This means that:

\mu_G = 15

s_G = \frac{4.2}{\sqrt{35}} = 0.71

The distribution of life spans for electric ranges has a mean of 13.4 years and a standard deviation of 3.7 years. Sample of 40:

This means that:

\mu_E = 13.4

s_E = \frac{3.7}{\sqrt{40}} = 0.585

Which of the following best describes the sampling distribution of the difference in mean life span of gas ranges and electric ranges?

Shape is approximately normal.

Mean:

\mu = \mu_G - \mu_E = 15 - 13.4 = 1.6

Standard deviation:

s = \sqrt{s_G^2+s_E^2} = \sqrt{0.71^2+0.585^2} = 0.92

So the correct answer is given by option b.

8 0
3 years ago
A farmer borrowed $7200 for 3 months at 10% interest. How much interest will the farmer pay on the loan?
zhuklara [117]
He will pay the 10% of $7200, and that is calculated like so:
(10%)(7200)
= (10/100)(7200)
= (1/10)(7200)
= 720
therefore he will pay $720
8 0
3 years ago
Given m || n, find X....PLEASE HELP ASAP....SOS...SUCK AT MATH PLEASE HELP ME!!
nexus9112 [7]
The angles with measurements equal to 3x+3 and 2x+22 should add up to 180°. This is because the angle which measures 2x+22 and the angle that is adjacent to the angle measuring 3x+3 are supposed to be congruent. If we mathematically translate the concept above, this can be expressed as,
        3x + 3 + 2x + 22 = 180

Combining like terms,
      (3x + 2x) + (3 + 22) = 180
Simplifying,
      5x + 25 = 180

Transpose the constants to only one side of the equation,
    5x = 155
Divide the equation by 5.
    x = 31

<em>ANSWER: x = 31</em>
5 0
3 years ago
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