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3 years ago

3 times the square of a non zero number is equal to 12 times the number. what is the number?

1 answer:

8 0

Let the number be x, then we have:-

3√x = 12x
squaring both sides:-
9x = 144x^2
144x^2 - 9x = 0
9x( 16x - 1) = 0
16x - 1 = 0 so x = 1/16 answer

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Assume that a computer was used to generate the given confidence interval for the population mean. Find the sample mean or margi

stealth61 [152]

Answer:

The sample mean is

b.3.55

The margin of error is

0.32

Step-by-step explanation:

Deep explanation about a confidence interval

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

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$

Now, find 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.

$M = 1.645*215 = 353.675$

The lower end of the interval is the mean subtracted by M. So it is 6.4 - 0.3944 = 6.01 hours.

The upper end of the interval is the mean added to M. So it is 6.4 + 0.3944 = 6.74 hours.

In this problem:

The deep explanation is not that important.

We just have to recognize that the interval has a lower end and an upper end. The distance from both the upper and the lower end to the mean is M. This means that the sample mean is the halfway point between the lower end and the upper end.

The margin of error is the distance of these two points(lower and upper end) to the mean.

In our interval

Lower end: 3.23

Upper end: 3.87

Sample mean

$M = \frac{3.23 + 3.87}{2} = 3.55$

So the correct answer is:

b.3.55

The margin of error is

3.87 - 3.55 = 3.55 - 3.23 = 0.32

4 0

3 years ago

Write the denominator of the fractiona 7/20 as the product of prime factors

gtnhenbr [62]

Answer:

Step-by-step explanation:

prime factors of 20 = 2 * 2 * 5

$\frac{7}{20}=\frac{7}{2*2*5}$

5 0

3 years ago

A quadrilateral can be partitioned into two triangles. What is the sum of the angles of a quadrilateral?

Dimas [21]

Answer:

360°

Step-by-step explanation:

Each of the two triangles have 3 angles that add up to 180°.

So,

180° + 180° = 360°

The sum of the angles of a quadrilateral is 360°

8 0

2 years ago

Math work pls help :)

Yuki888 [10]

Answer:

SAS (side-angle-side)

Step-by-step explanation:

In the given picture, it is shown that the triangles have two congruent sides, and one congruent angle between them. The congruent sides are shown by the lines on the sides. The congruent angle is shown by the box outlining the angle (technically a box outlining the angle demonstrates that the angle is a right angle, either way, it proves the congruency).

6 0

2 years ago

In parallelogram RSWY, find m

LuckyWell [14K]

Answer:

Part A) $m\angle R=110^o$