Ask question

Ask question

All categories

3 years ago

8

What’s the missing length?

1 answer:

andrezito [222]3 years ago

6 0

The missing side length? Or the missing angle?

You might be interested in

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

3 years ago

Given that 3 or more packages contain a substantial number of broken cookies, what is the probability that exactly 4 packages co

ahrayia [7]

The problem above is an example of conditional probability. From the name itself, it gives you a condition that a certain event has already happen, or is sure to happen. In this case, the probability would be 100% or 1. The condition says that the probability is 100% if the packages are more than 3. Since, 4 is considered to be more than 3, then the probability is 100%.

6 0

3 years ago

A circular patio has a diameter of 12 feet. Holly is stringing lights around the edge of the patio. Approximately how many feet

vivado [14]

Answer:

37.68

i took the test hope this helped

4 0

2 years ago

Hey want help me??!! ill mark you as brainn!!pleasee!

Andru [333]

Answer:

Here, length is 8 in. Width is 4in. and height is (3+3+3)=9 in. Then use the formula.

A= 2wl+2hl+2hw

= 2×4×8 + 2×9×8+2×9×4

=280 inch²

4 0

4 years ago

Find the volume of each figure. Round the answer<br> 5 min<br> 4 mm<br> 18 nm<br> 8 mm

valentina_108 [34]

Try 18mm that should be the answer

8 0

3 years ago