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3 years ago

By what factor must you multiply a number in order to double its square root? With an example.

1 answer:

3 0

Suppose it is x = the number

Suppose that h is the factor by which we want to multiply the number to double its square root.
So we have to:

√ (hx) = 2√x.

We solve the equation for us and that:

hx = 4x
h = 4.

You must multiply by 4 to duplicate the square root

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Yana though of a number she multlipied it by 8 subtracted 4 divided the result by 2 what number did yana think of

Anastasy [175]

Complete Question

Yana though of a number she multiplied it by 8 subtracted 4 divided the result by 2, and got 30. What number did Yana think of

Answer:

$x=8$

Step-by-step explanation:

From the question we are told that:

Thought of Number x

Multiplied it by 8

$x*8=8x$

Subtracted 4

$8x-4$

Divided the result by 2

$\frac{8x-4}{2}$

Generally the equation for x is mathematically given by

$\frac{8x-4}{2}=30$

$8x-4=60$

$8x=60+4$

$x=8$

3 0

3 years ago

The data given to the right includes data from candies, and of them are red. The company that makes the candy claims that % of

Dafna1 [17]

Using the z-distribution, the 95% confidence interval for the percentage of red candies is of (7.84%, 33.18%). Since 33% is part of the interval, there is not enough evidence to conclude that the claim is wrong.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

Researching this problem on the internet, 8 out of 39 candies are red, hence the sample size and the estimate are given by:

$n = 39, \pi = \frac{8}{39} = 0.2051$

Hence the bounds of the interval are:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2051 - 1.96\sqrt{\frac{0.2051(0.7949)}{39}} = 0.0784$

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2051 + 1.96\sqrt{\frac{0.2051(0.7949)}{39}} = 0.3318$

As a percentage, the 95% confidence interval for the percentage of red candies is of (7.84%, 33.18%). Since 33% is part of the interval, there is not enough evidence to conclude that the claim is wrong.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

7 0

2 years ago

. A fair coin and then a die with 6 sides are tosses find the probabilities of the six events occurring respectively a. P(Tails)

Dvinal [7]

Answer:

Step-by-step explanation:

7 0

3 years ago

Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible. Let x be the number and let

Allisa [31]