If 4 out of 10 people vote, then in a town with 200,000 people , how many will vote?

F(x) = x + 2 g(x) = x – 4

wariber [46]

Answer:

G= -2/x, x $\neq$ 0

X= -2/g, g $\neq$ 0

Step-by-step explanation:

5 0

1 year ago

A student randomly draws a card from a standard deck and checks to see if it is his favorite suit he then returned to card to th

tensa zangetsu [6.8K]

Answer:

The binomial probability formula can not be used for this experiment because it does not state the number of times he expects to draw his favorite suit.

Step-by-step explanation:

The binomial probability formula is expressed as follows:

P (k success in n trials) = $\left \{ {{n \atop k} \right.$ $p^{k}$ $q^{n-k}$

n = number of trials, k = number of successes, n-k = number of failures, p = probability of success in one trial and q = 1 - p = probability of failure in one trial.

In the given problem, all of the variables are known except for 'k', the amount of times that the student predicts he will draw his favorite suit.

8 0

3 years ago

There are 4,389 dogwood trees in the state park. The park workers are going to plant 342 more trees. How many trees will there b

Dmitrij [34]

Answer:

4731

Step-by-step explanation:

4,389+342=4,731

6 0

2 years ago

A manufacturing company wants to use a sample to estimate the proportion of defective tennis balls that are produced by a machin

Kitty [74]

Answer:

The least number of tennis balls needed for the sample is 1849.

Step-by-step explanation:

The (1 - α) % confidence interval for population proportion is:

$CI=\hat p\pm z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}$

The margin of error for this interval is:

$MOE= z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}$

Assume that the proportion of all defective tennis balls is p = 0.50.

The information provided is:

MOE = 0.03

Confidence level = 99%

α = 1%

Compute the critical value of z for α = 1% as follows:

$z_{\alpha/2}=z_{0.01/2}=z_{0.005}=2.58$

*Use a z-table.

Compute the sample size required as follows:

$MOE= z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}$

$n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)} }{MOE}]^{2}$

$=[\frac{2.58\times \sqrt{0.50(1-0.50)} }{0.03}]^{2}\\\\=1849$

Thus, the least number of tennis balls needed for the sample is 1849.

8 0

2 years ago

The height of a rectangular prism is half its width The width of the prism is 1/3 of its length If the width of the prism is 3 c

Leno4ka [110]

Answer:

40.5 centimeters.

Step-by-step explanation:

Given:

The width of the prism is 3 centimeters.

The width of the prism is 1/3 of its length.

The height of a rectangular prism is half its width.

To find:

Volume of a rectangular prism = ?

Solution:

Width of the prism = 3 cm

As given, height of a rectangular prism is half its width.

height of a rectangular prism = $\frac{1}{2} \times3=\frac{3}{2} \ cm$

Similarly, as given, the width of the prism is 1/3 of its length.

Width of the prism = $\frac{1}{3}\ of\ length$

$3=\frac{1}{3}\times length$

By multiplying both sides by 3

$3\times3=\frac{1}{3} \times3\ length\\9= length\\$

Thus, length of prism = 9 cm

Now, as we know:

$Volume\ of\ rectangular\ prism=length\times breadth\times height$

$=9\times3\times\frac{3}{2} \\\\ =\frac{81}{2} \\ \\ =40.5\ cm$

Therefore, the volume of a rectangular prism is 40.5 centimeters.

3 0

2 years ago