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4 years ago

7

How do i find the value of y?

1 answer:

frozen [14]4 years ago

3 0

Write an equation and try isolating the y variable.

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Recommended daily intake of fiber

Ganezh [65]

25 grams per day that is the recommended daily intake of fiber

4 0

3 years ago

Suppose 45% of the population has a college degree.

levacccp [35]

Using the normal distribution, there is a 0.2076 = 20.76% probability that the proportion of persons with a college degree will differ from the population proportion by greater than 3%.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1 - p)}{n}}$ , as long as $np \geq 10$ and $n(1 - p) \geq 10$ .

The proportion estimate and the sample size are given as follows:

p = 0.45, n = 437.

Hence the mean and the standard error are:

$\mu = p = 0.45$

$s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.45(0.55)}{437}} = 0.0238$

The probability that the proportion of persons with a college degree will differ from the population proportion by greater than 3% is <u>2 multiplied by the p-value of Z when X = 0.45 - 0.03 = 0.42</u>.

Hence:

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem:

$Z = \frac{X - \mu}{s}$

Z = (0.42 - 0.45)/0.0238

Z = -1.26

Z = -1.26 has a p-value of 0.1038.

2 x 0.1038 = 0.2076.

0.2076 = 20.76% probability that the proportion of persons with a college degree will differ from the population proportion by greater than 3%.

More can be learned about the normal distribution at brainly.com/question/28159597

#SPJ1

8 0

2 years ago

If person a and person b go fishing and both catch fish. If person a gives half their fish to person b and then they have equal

Alik [6]

Answer:

The number of fishes person b initially has is 0

The number of fishes person a initially has is x, where x is any natural number

Step-by-step explanation:

The given parameters are;

let x represent the number of fish person a catches and let y represent the number of fishes that person b catches, we have;

x - x/2 = y + x/2

2·x - x = 2·y + x

2·x = 2·y + 2·x

∴ y = 0

Therefore;

The number of fishes person b initially has = 0

The number of fishes person a initially has = x, where x is any natural number.

5 0

3 years ago

Angle ABC and Angle DBE are vertical angles. Angle ABC measures (7x - 5) degrees and Angle DBE measures -2(x - 11) degrees. What

Snezhnost [94]

You have to find out what X is which you need to do -2 - (-11) and then do -9 - (-11) after that do you-2 x -2 and get -4

4 0

3 years ago

The initial value of a quantity Q (at year t = 0) is 112.8 and the quantity is decreasing by 23.4% per year. a) Write a formula

Svetach [21]

Answer:

a) $Q(t) = 112.8*(0.766)^{t}$

b) When t = 10, Q = 7.845.

Step-by-step explanation:

The value of a quantity after t years is given by the following formula:

$Q(t) = Q_{0}(1 + r)^{t}$

In which $Q_{0}$ is the initial quantity and r is the rate that it changes. If it increases, r is positive. If it decreases, r is negative.

a) Write a formula for Q as a function of t.

The initial value of a quantity Q (at year t = 0) is 112.8.

This means that $Q_{0} = 112.8$ .

The quantity is decreasing by 23.4% per year.

This means that $r = -0.234$

So

$Q(t) = 112.8*(1 - 0.234)^{t}$

$Q(t) = 112.8*(0.766)^{t}$

b) What is the value of Q when t = 10?

This is Q(10).

$Q(t) = 112.8*(0.766)^{t}$

$Q(t) = 112.8*(0.766)^{10} = 7.845$

When t = 10, Q = 7.845.

4 0

4 years ago