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Bingel [31]
3 years ago
5

2 1/2 is it a rational number

Mathematics
1 answer:
Vladimir [108]3 years ago
3 0
Yes 2 1/2 is a rational #
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The length of a rectangle is 4ft less than its width.The area of the rectangle is 6oft<img src="https://tex.z-dn.net/?f=%5E%7B2%
Alexeev081 [22]

Answer:

Width is 10ft and length is 6ft.

Step-by-step explanation:

The area of a shape is the amount inside a shape. It is found using multiplication or A = l*w. Since the width is w and the length is 4ft less than its width or w - 4, use these expressions in the area formula to find their amount.

A = l*w\\60 = w(w -4)\\60 = w^2-4w

Subtract 60 from both sides and factor the quadratic to solve for w.

w^2 -4w - 60 = 0\\(w-10)(w+6) = 0

Set each factor equal to 0 and solve.

w - 10 = 0 so w = 10

w + 6 = 0 so w = -6.

Since w represents a length or distance it cannot be negative, this means the width is 10. The length which is w - 4ft is 10 -4 = 6. The length is 6 ft.

5 0
3 years ago
Factor the expression 6x^2-5x. <br><br> Plzzzz helppppp!!
marshall27 [118]

Answer:

x(6x-5)

Step-by-step explanation:

take something from both equally

7 0
3 years ago
According to the US Bureau of Labor Statistics publication News, self-employed persons with home-based businesses work a mean of
worty [1.4K]

Answer:

The answer is below

Step-by-step explanation:

Given that mean (μ) = 23 hours, standard deviation (σ) = 10 hours

a) The population is a group of self employed home based workers while the variable is the number of hours worked per week.

b) The mean of the distribution of sample means (also known as the Expected value of M) is equal to the population mean μ.

\mu_x=\mu=23\ hours

The standard deviation of the distribution of sample means is called the Standard Error of M, it is given by:

\sigma_x=\sigma/\sqrt{n} =\frac{10}{\sqrt{100} }=1

c) \mu_x=\mu=23\ hours

\sigma_x=\sigma/\sqrt{n} =\frac{10}{\sqrt{1000} }=0.32

d) The sample size has no effect on the mean, hence increasing the sample size does not change the mean.

The square root of sample size is inversely proportional to the standard deviation therefore increasing the sample size reduces the standard deviation.

5 0
3 years ago
Find the coordinates of X. A. (7, 4.5) B. (7, 2.5) C. (3.5, 7) D. (7, 3.5
AVprozaik [17]

Answer:

A 7,4.5

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Seventy-six percent of sunflower seeds will germinate into a flower, and a sample of 800 such sunflower seeds is randomly select
ollegr [7]

Answer:

12.08

Step-by-step explanation:

For each sunflower, there are only two possible outcomes. Either it germinates, or it does not. The probability of a sunflower germinating is independent of other sunflowers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Seventy-six percent of sunflower seeds will germinate into a flower

This means that p = 0.76

Samples of 800:

This means that n = 800

The standard deviation for the number of sunflower seeds that will germinate in such samples of size 800 is:

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{800*0.76*0.24} = 12.08

5 0
3 years ago
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