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kap26 [50]
3 years ago
8

What is the simplified form of the expression? 9. (m^7)^2 a) 2m^14 b) m^49 c) m^9 d) m^14

Mathematics
1 answer:
kupik [55]3 years ago
3 0
(m^7)^2 = m^(7 x 2) = m^14
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Find the length of side x.
Nata [24]

Answer:

i think it is 61

Step-by-step explanation:

5 0
3 years ago
Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118. If a recent test-taker
LuckyWell [14K]

Answer:

Probability that the student scored between 455 and 573 on the exam is 0.38292.

Step-by-step explanation:

We are given that Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118.

<u><em>Let X = Math scores on the SAT exam</em></u>

So, X ~ Normal(\mu=514,\sigma^{2} =118^{2})

The z score probability distribution for normal distribution is given by;

                              Z  =  \frac{X-\mu}{\sigma} ~  N(0,1)

where, \mu = population mean score = 514

           \sigma = standard deviation = 118

Now, the probability that the student scored between 455 and 573 on the exam is given by = P(455 < X < 573)

       P(455 < X < 573) = P(X < 573) - P(X \leq 455)

       P(X < 573) = P( \frac{X-\mu}{\sigma} < \frac{573-514}{118} ) = P(Z < 0.50) = 0.69146

       P(X \leq 2.9) = P( \frac{X-\mu}{\sigma} \leq \frac{455-514}{118} ) = P(Z \leq -0.50) = 1 - P(Z < 0.50)

                                                         = 1 - 0.69146 = 0.30854

<em>The above probability is calculated by looking at the value of x = 0.50 in the z table which has an area of 0.69146.</em>

Therefore, P(455 < X < 573) = 0.69146 - 0.30854 = <u>0.38292</u>

Hence, probability that the student scored between 455 and 573 on the exam is 0.38292.

7 0
3 years ago
Lucy Baker is analyzing demographic characteristics of two television programs, American Idol (population 1) and 60 Minutes (pop
creativ13 [48]

Answer:

Alternative hypothesis:\mu_1 -\mu_2 \neq 0

Or in the alternative way would be:

 Alternative hypothesis:\mu_1 \neq \mu_2

Step-by-step explanation:

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

On this case the claim that they want to test is: "The means for the two groups (American Idol and 60 Minutes) is the same". So we want to check if we have significant differences between the two means, so this needs to be on the alternative hypothesis and on the null hypothesis we need to have the complement of the alternative hypothesis.

Null hypothesis:\mu_1 -\mu_2 = 0

This null hypothesis can be expressed like this:

Null hypothesis:\mu_1 = \mu_2

Alternative hypothesis:\mu_1 -\mu_2 \neq 0

Or in the alternative way would be:

Alternative hypothesis:\mu_1 \neq \mu_2

4 0
3 years ago
A random experiment consists of tossing 2 coins and observing heads and tails. What is the correct sample space
AVprozaik [17]
This is

{HH, TT, TH, HT}      where H = head and T = tail
6 0
3 years ago
Is the ratio 4.2:1.5 proportional to the rational 12.6:4.5​
VARVARA [1.3K]

Answer:

YES

Step-by-step explanation:

cause 12.6 / 4.5 = 2.8

and 4.2 / 1.5 = 2.8

3 0
3 years ago
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