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2 years ago

Solve 2 cube root 8x+9=5

1 answer:

7 0

2 times the cube root of 8x+9=5
divide both sides by 2
cube root of 8x+9=2.5
cube everybody (put to 3rd power)
8x+9=2.5^3
8x+9=15.625
minus 9 both sides
8x=6.625
divie both sides by 8
x=0.828125

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Researchers at the National Cancer Institute released the results of a study that investigated the effect of weed-killing herbic

jolli1 [7]

Answer:

The 95% confidence interval for the difference in the proportion of cancer diagnoses between the two groups is (0.3834, 0.5166).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

The randomly sampled 400 dogs from homes where an herbicide was used on a regular basis, diagnosing lymphoma in 230 of them.

This means that:

$p_h = \frac{230}{400} = 0.575, s_h = \sqrt{\frac{0.575*0.425}{400}} = 0.0247$

Of 200 dogs randomly sampled from homes where no herbicides were used, only 25 were found to have lymphoma.

This means that:

$p_n = \frac{25}{200} = 0.125, s_n = \sqrt{\frac{0.125*0.875}{200}} = 0.0234$

Distribution of the difference:

$p = p_h - p_n = 0.575 - 0.125 = 0.45$

$s = \sqrt{s_h^2+s_n^2} = \sqrt{0.0247^2 + 0.0234^2} = 0.034$

Confidence interval:

The confidence interval is:

$p \pm zs$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower bound is $0.45 - 1.96(0.034) = 0.3834$

The upper bound is $0.45 + 1.96(0.034) = 0.5166$

The 95% confidence interval for the difference in the proportion of cancer diagnoses between the two groups is (0.3834, 0.5166).

3 0

3 years ago

-1/3+4+2/3 what is the answer plz and thank you

koban [17]

Hi there!

$- \frac{1}{3} + 4 + \frac{2}{3} =$
First we rearrange the sum in order to add both of the fractions first. We can rearrange because the only thing we need to do is adding.

$- \frac{1}{3} + \frac{2}{3} + 4 =$
Add the fractions.
** If you don't get this, think of this story: you lack 1/3 of an apple pie and someone gives you 2/3 of pie. How much pie do you have left?
- 1 / 3 + 2 / 3 = 1 / 3 **

$\frac{1}{3} + 4 =$
Finally add 4 to our found fraction.

$\boxed{ 4\frac{1}{3} }$
Therefore, the answer is 4 1/3.

5 0

3 years ago

A circle is the set of all points that are the same distance from one given point. find an example that contradicts this definit

lyudmila [28]

The accurate definition is that the circle that's closest to the 2 dimensional figure where all the set of point in the plane should be equal distance.

<h3>How to illustrate a circle?</h3>

A circle simply means the set of all the points that are the same distance from a given point.

In this case, the contradiction is that the definition should be applied to three dimensional space so that it will be a sphere.

The accurate definition is that the circle that's closest to the 2 dimensional figure where all the set of point in the plane should be equal distance. A example is a point or line.

Learn more about circle on:

brainly.com/question/24375372

#SPJ1

4 0

2 years ago

What is the way to show the work of box a and box b each contain black tiles and white tiles. They have the same total number of

allsm [11]