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3 years ago

13

Nine actors audition for four different parts in a play in how many ways can the director fill these roles ?

1 answer:

podryga [215]3 years ago

5 0

Answer:126

Step-by-step explanation: your welcome

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Need help with this im confused

Jet001 [13]

Answer:

$-\frac34 -\frac14 i$

Step-by-step explanation:

Let's start with distributing: $\frac1{4i}-\frac{3i}{4i}$ Simplify i with i in the second term, and rearrange. $-\frac34 +\frac1{4i}$ . Since i in the denominator looks ugly, let's multiply top and bottom by i. $-\frac34 +\frac i{4i^2} = -\frac34 +\frac i{4(-1)} =-\frac34 -\frac14 i$ . The middle passage is based on the fact that, by definition, $i^2=-1$

6 0

3 years ago

Someone please help me ASAP!

loris [4]

It would be (-5,-1) yw

8 0

3 years ago

Read 2 more answers

Given the following statements, what conclusion can be drawn using the law of syllogism?

Umnica [9.8K]

Answer:

C) If the area of a square is an odd perfect square, the perimeter of the square will be even.

Step-by-step explanation:

Just did it on edge.

8 0

3 years ago

Read 2 more answers

Find the volume of a cylinder below . The formula for the volume of a cylinder is . The radius of the circle is represented by r

lapo4ka [179]

Answer:

The volume of the cylinder V = 942 cm³

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the graph

The height of the cylinder (h) = 12cm

The diameter of the cylinder d = 10cm

The radius of the cylinder

d = 2r

r = $\frac{10}{2}$

r = 5 cm

<u><em>Step(ii):-</em></u>

The Volume of the cylinder

V = π r² h

V = π (5)²(12)

V = 300π cubic centimeter

V = 300 × 3.14

V = 942 cm³

<u><em>Final answer:-</em></u>

Volume of the cylinder V = 942 cm³

3 0

2 years ago

A private and a public university are located in the same city. For the private university, 1038 alumni were surveyed and 647 sa

Snezhnost [94]

Answer:

The difference in the sample proportions is not statistically significant at 0.05 significance level.

Step-by-step explanation:

Significance level is missing, it is α=0.05

Let p(public) be the proportion of alumni of the public university who attended at least one class reunion

p(private) be the proportion of alumni of the private university who attended at least one class reunion

Hypotheses are:

$H_{0}$ : p(public) = p(private)

$H_{a}$ : p(public) ≠ p(private)

The formula for the test statistic is given as:

z= $\frac{p1-p2}{\sqrt{{p*(1-p)*(\frac{1}{n1} +\frac{1}{n2}) }}}$ where

p1 is the sample proportion of public university students who attended at least one class reunion ( $\frac{808}{1311}=0.616$ )

p2 is the sample proportion of private university students who attended at least one class reunion ( $\frac{647}{1038}=0.623$ )

p is the pool proportion of p1 and p2 ( $\frac{808+647}{1311+1038}=0.619$ )

n1 is the sample size of the alumni from public university (1311)

n2 is the sample size of the students from private university (1038)

Then z= $\frac{0.616-0.623}{\sqrt{{0.619*0.381*(\frac{1}{1311} +\frac{1}{1038}) }}}$ =-0.207

Since p-value of the test statistic is 0.836>0.05 we fail to reject the null hypothesis.

6 0

3 years ago