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3 years ago

Write 128 as a product of primes

Mathematics

1 answer:

Lyrx [107]3 years ago

3 0

Answer:

2 x 2 x 2 x 2 x 2 x 2 x 2 = 128

2^7

Step-by-step explanation:

2 is the only prime number you can multiply to get 128.

as such your answers are :

2^7

2 x 2 x 2 x 2 x 2 x 2 x 2.

(if you don't know yet, 2^7 is just a simple way to say 2 times itself 7 times.)

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According to Nielsen Media Research. of all the U.S. households that owned at least one television set, 83% had two or more sets

Rudik [331]

Answer:

The proportion of U.S. households that owned two or more televisions is 83%.

Step-by-step explanation:

To determine whether the proportions of U.S. households that owned two or more televisions is less than 83% or not let us perform a hypothesis test for single proportion.

Assumptions:

The sample size (n) selected by the local cable company is 300 which is quite large. Then according to the Central limit theorem the sampling distribution of sample proportion follows a normal distribution with mean p and standard deviation $\sqrt{\frac{p(1-p)}{n} }$ .

Since the sampling distribution of sample proportions follows a normal distribution use the z-test for one proportion to perform the test.

The hypothesis is:

$H_{0}$ : The proportion of U.S. households that owned two or more televisions is 83%, i.e. $p=0.83$

$H_{1}$ :The proportion of U.S. households that owned two or more televisions is less than 83%, i.e. $p< 0.83$

Decision Rule:

At the level of significance α = 0.05 the critical region for a one-tailed z-test is:

$\\ Z\leq -1.645\\$

**Use the z table for the critical values.

So, if $\\ Z\leq -1.645\\$ the null hypothesis will be rejected.

Test statistic value:

$z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}$

Here $\hat{p}$ is the sample proportion.

Compute the value of $\hat{p}$ as follows:

$\hat{p}=\frac{X}{n} \\=\frac{240}{300}\\ =0.80$

Now compute the value of the test statistic as follows:

$z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}\\=\frac{0.80-0.83}{\sqrt{\frac{0.83*(1-0.83)}{300} } } \\=-1.383$

The test statistic is -1.383 which is more than -1.645.

Thus, the test statistic lies in the acceptance region.

Hence we fail to reject the null hypothesis.

Conclusion:

At 0.05 level of significance we fail to reject the null hypothesis stating that the proportion of U.S. households that owned two or more televisions is 83%.

6 0

3 years ago

The daily temperatures for the winter months in Virginia are Normally distributed with a mean of 59 F and a

yan [13]

Answer: A- 1

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The table shows the results of rolling a number cube, with sides labeled 1 through 6, several times.

Free_Kalibri [48]

Answer with Step-by-step explanation:

we are given a event of rolling as die several times:

Outcome: [1 2 3 4 5 6]

Number of times outcome occurred: [10 6 4 8 6 6]

We have to find the experimental probability of rolling a 1 or a 5

number of times 1 or 5 came up= 10+6=16

and total number of outcomes= 10+6+4+8+6+6= 40

P( rolling a 1 or a 5)=

number of times 1 or 5 came up/ total number of outcomes

= 16/40

= 2/5

Hence, the experimental probability of rolling a 1 or a 5 is:

2/5

3 0

4 years ago

Read 2 more answers

28 - 6(2x + 4) = 124

Iteru [2.4K]

Answer: x = -12 is the correct answer

Step-by-step explanation: the moderator that deleted this if is so wrong then just tell me why is wrong if you are so smart.

5 0

4 years ago

Evaluate the limit of: limx→2(5x+2x+4)

Soloha48 [4]

Answer:

Limit is 18

Step-by-step explanation:

Using direct substitution

5x+ 2x+ 4 = 5(2) + 2(2)+ 4 = 10+ 4+ 4= 18

8 0

3 years ago