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3 years ago

6

When fourfour basketball players are about to have a free-throw competition, they often draw names out of a hat to randomly sel

ect the order in which they shoot. What is the probability that they shoot free throws in alphabetical order? Assume each player has a different name.

1 answer:

sesenic [268]3 years ago

5 0

Answer:

fortty fou

Step-by-step explanation:

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A math class is having a discussion on how to determine if the expressions 4x-x+5 and 8-3x-3 are equivalent using

Mkey [24]

Answer:

Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.

Step-by-step explanation:

Both expressions are linear expressions. It takes 2 points to define a line. If the lines defined by each expression go through the same two points, then the expressions are equivalent.

If the expressions have the same value for two different variable values, they are equivalent. (choice D)

_____

<em>Additional comment</em>

One more point is needed than the degree of the polynomial expression. That is, quadratic (degree 2) expressions will be equivalent if they go through the same 2+1 = 3 points.

6 0

3 years ago

Using the simple random sample of weights of women from a data set, we obtain these sample statistics: nequals45 and x overbar

Tomtit [17]

Answer: (141.1, 156.48)

Step-by-step explanation:

Given sample statistics : $n=45$

$\overline{x}=148.79\text{ lb}$

$\sigma=31.37\text{ lb}$

a) We know that the best point estimate of the population mean is the sample mean.

Therefore, the best point estimate of the mean weight of all women = $\mu=148.79\text{ lb}$

b) The confidence interval for the population mean is given by :-

$\mu\ \pm E$ , where E is the margin of error.

Formula for Margin of error :-

$z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}$

Given : Significance level : $\alpha=1-0.90=0.1$

Critical value : $z_{\alpha/2}=z_{0.05}=\pm1.645$

Margin of error : $E=1.645\times\dfrac{31.37}{\sqrt{45}}\approx 7.69$

Now, the 90% confidence interval for the population mean will be :-

$148.79\ \pm\ 7.69 =(148.79-7.69\ ,\ 148.79+7.69)=(141.1,\ 156.48)$

Hence, the 90% confidence interval estimate of the mean weight of all women= (141.1, 156.48)

3 0

3 years ago

How many elements are in the set (a,b,<br> c.?

diamong [38]

There are three elements in that set.

5 0

3 years ago

If you have a demand function of Qd=48-9P and a supply function of Qs=-12+6P,

jenyasd209 [6]

Answer:

The equilibrium quantity is 26.4

Step-by-step explanation:

Given

$Q_d = 48 - 9P$

$Q_s = 12 + 6P$

Required

Determine the equilibrium quantity

First, we need to determine the equilibrium by equating Qd to Qs

i.e.

$Q_d = Q_s$

This gives:

$48 -9P = 12 + 6P$

Collect Like Terms

$-9P - 6P = 12 - 48$

$-15P = -36$

Solve for P

$P = \frac{-36}{-15}$

$P =2.4$

This is the equilibrium price.

Substitute 2.4 for P in any of the quantity functions to give the equilibrium quantity:

$Q_d = 48 - 9P$

$Q_d = 48 - 9 * 2.4$

$Q_d = 26.4$

<em>Hence, the equilibrium quantity is 26.4</em>

7 0

3 years ago

Zoe used 3/8 of her ribbon to wrap a present. If she uses 9 feet of ribbon for the present how much ribbon did Zoe have it first

MArishka [77]

Let the total ribbon Zoe had was x feet.

Out of x feet, she used 3/8 part of it.

Hence, $\frac{3x}{8}$

3/8 part of the original ribbon is equal to 9 feet.

Hence, we get

$\frac{3x}{8} = 9$

=> Multiply 8 on both sides.

$3x=72$

Divide both sides by 3

$\frac{3x}{3}=\frac{72}{3}$

$x=24 ft$

Zoe had 24 feet of ribbon in starting... Answer

8 0

3 years ago