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3 years ago

15

Y=-2/3x+4 Y=2x-4 (Graphing)

1 answer:

Digiron [165]3 years ago

8 0

(6,8) is the correct answer.

Hope this helps:)

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A group of three undergraduate and five graduate students are available to fill certain student government posts. If four studen

creativ13 [48]

Answer:

$Pr = 0.4286$

Step-by-step explanation:

Given

Let

$U \to\\$ Undergraduates

$G \to$ Graduates

So, we have:

$U = 3; G =5$ -- Total students

$r = 4$ --- students to select

Required

$P(U =2)$

From the question, we understand that 2 undergraduates are to be selected; This means that 2 graduates are to be selected.

First, we calculate the total possible selection (using combination)

$^nC_r = \frac{n!}{(n-r)!r!}$

So, we have:

$Total = ^{U + G}C_r$

$Total = ^{3 + 5}C_4$

$Total = ^8C_4$

$Total = \frac{8!}{(8-4)!4!}$

$Total = \frac{8!}{4!4!}$

Using a calculator, we have:

$Total = 70$

The number of ways of selecting 2 from 3 undergraduates is:

$U = ^3C_2$

$U = \frac{3!}{(3-2)!2!}$

$U = \frac{3!}{1!2!}$

$U = 3$

The number of ways of selecting 2 from 5 graduates is:

$G = ^5C_2$

$G = \frac{5!}{(5-2)!2!}$

$G = \frac{5!}{3!2!}$

$G =10$

So, the probability is:

$Pr = \frac{G * U}{Total}$

$Pr = \frac{10*3}{70}$

$Pr = \frac{30}{70}$

$Pr = 0.4286$

5 0

2 years ago

A tire company finds that the lifespan for one brand of its tires is normally distributed with a mean of 47,500 miles and a stan

Illusion [34]

Answer:

42580 miles

Step-by-step explanation:

Mean = $\mu = 47500$

$\sigma = 3000$

The manufacturer does not want to replace more than 5% of the tires

$P(X\leq x)=5\%$

$P(\frac{x-\mu}{\sigma}\leq \frac{x-47500}{3000})=0.05$

By using normal table values :

$\frac{x-47500}{3000}=-1.64$

$x=(-1.64 \times 3000)+47500$

$x=42580$

Hence the approximate number of miles for the warranty is 42580 miles

6 0

3 years ago

Which statement explains Joni’s error?

USPshnik [31]

Answer:

um can i see the statements?

Step-by-step explanation:

8 0

3 years ago

When using pi, do you use 3.14 or 3.141592653?

sergey [27]

Answer:

You would usually use 3.14

Step-by-step explanation:

It kind of depends on where you are using it. In an equation, pi would be used as 3.14 and the answer would be approximated. To write it anywhere else (I dont know where else you would though), you would do the pi symbol. I hope this helps.

4 0

3 years ago

Read 2 more answers

73 and 4.4 x 10 to the 6th power

Lubov Fominskaja [6]

Answer:

4,400,073

Step-by-step explanation:

Ez

8 0

3 years ago