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2 years ago

Wendy keeps her hamster, Fluffy, in a cage shaped like a rectangular prism that is 20 inches long, 14 inches wide,

Mathematics

1 answer:

svetlana [45]2 years ago

3 0

Answer:

2.5 inches taller

Step-by-step explanation:

x cubic inches = width × height × length

height = (x ÷ width) ÷ length

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From a group of 8 women and 6 men, a committee consisting of 3 men and 3 women is to be formed. How many different committees ar

murzikaleks [220]

Answer:

(a) 896

(b) 1000

Step-by-step explanation:

Number of women = 8

Number of men = 6

A committee consisting of 3 men and 3 women is to be formed.

(a) 2 of the men refuse to serve together.

Number of men who don't want to serve together = 2

Remaining men = 4

Total ways = Both men who don't want to serve together are not selected + only one of them is selected.

$^{8}C_{3}\cdot ^{4}C_{3}+^{8}C_{3}\cdot ^{4}C_{2}\cdot ^{2}C_{1}$

$896$

(b) 2 of the women refuse to serve together.

Number of women who don't want to serve together = 2

Remaining men = 6

Total ways = Both women who don't want to serve together are not selected + only one of them is selected.

$^{6}C_{3}\cdot ^{6}C_{3}+^{6}C_{3}\cdot ^{6}C_{2}\cdot ^{2}C_{1}$

$1000$

Ways = Total ways - Both man and woman are select who refuse the serve together

$^{8}C_{3}\cdot ^{6}C_{3}-^{5}C_{2}\cdot ^{7}C_{2}$

$910$

6 0

4 years ago

Which type of transformation is shown in the graph?

jekas [21]

The answer is Rotation.
Good luck!

3 0

3 years ago

Read 2 more answers

Select the correct answer.

Korvikt [17]

Answer:

Step-by-step explanation:

the y' should be 5 then 10 .20.40.80 since it double every day

8 0

3 years ago

Read 2 more answers

How many different 11-letter arrangements can be made using the letters in the word Firecracker?

zhenek [66]

Answer:

Total number of arrangements = 1,663,200

Step-by-step explanation:

Given:

11 - letter

FIRECRACKER

F = 1

I = 1

R = 3

E = 2

C = 2

A =1

K = 1

Find:

Total number of arrangements = ?

Computation:

Note: Repeated letter will be avoid.

$Number\ of\ arrangements = \frac{!11}{!3 \times !2 \times !2}\\\\Number\ of\ arrangements = \frac{!11}{!3 \times !2 \times !2} \\\\Number\ of\ arrangements = \frac{11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3}{3 \times 2 \times 2 } \\\\Number\ of\ arrangements = 1,663,200$

Total number of arrangements = 1,663,200

6 0

4 years ago

Shen rented a truck for one day. There was a base fee of

Tpy6a [65]

Ok so he had to pay (i'll say 17 because it's easier to type but understand it's 16.99) 17 dollars up front, and he paid 0.88x, x being miles driven. This means for how many miles he's driven, the equation would look like 17 + 0.88x. Set this equal to 203.55 to find out how many miles he drove. Solving this you get 212 miles.

8 0

3 years ago