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4 years ago

Y is 5 less than the product of 4 and x

Mathematics

1 answer:

S_A_V [24]4 years ago

7 0

First, write the given question in an equation form. Y - 5 = 4x
The product of 4 and X is 4X which is equal to Y-5.

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3 years ago

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3 years ago

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The same sequence may be defined in three ways: 1) f(x) = 3x + 4 for x = {1, 2, 3, ...}, 2) a1 = 4 and an + 1 = an + 3 for n = {

ZanzabumX [31]

Answer:

its B

Step-by-step explanation:

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4 years ago

3. university dean of students wishes to estimate the average number of hours students spend doing homework per week. The standa

gregori [183]

Answer:

A sample of 17 must be selected.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.96}{2} = 0.02$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.02 = 0.98$ , so Z = 2.054.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

The standard deviation from a previous study is 4 hours.

This means that $\sigma = 4$

How large a sample must be selected if he wants to be 96% confident of finding whether the true mean differs from the sample mean by 2 hours?

A sample of n is required.

n is found for M = 2. So

$M = z\frac{\sigma}{\sqrt{n}}$

$2 = 2.054\frac{4}{\sqrt{n}}$

$2\sqrt{n} = 2.054*4$

Simplifying both sides by 2:

$\sqrt{n} = 2.054*2$

$(\sqrt{n})^2 = (2.054*2)^2$

$n = 16.88$

Rounding up:

A sample of 17 must be selected.

8 0

3 years ago

What is the prime factorization of 60?

Serjik [45]

Answer:

2*2*3*5

Step-by-step explanation:

Use a factor tree to express 60 as a product of prime factors. So the prime factorization of 60 is 2 × 2 × 3 × 5, which can be written as 2 2 × 3 × 5. The actual prime factors of 60 are 2, 3, and 5.

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2 years ago