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Delicious77 [7]

2 years ago

7

A men's department store sells 3 different suit jackets, 6 different shirts, 8 different ties, and 4 different pairs of pants. h

ow many different suits consisting of a jacket, shirt, tie, andpants are possible?

1 answer:

Ksenya-84 [330]2 years ago

3 0

Jackets = 3
Shirt = 6
Ties = 8
Pants = 4

Number of combination = 3 x 6 x 8 x 4 = 576

Answer: There are 576 possible combinations.

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Jonah reads 5 1/2 chapters in his book in 90 minutes how long will it take him to read one chapter

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3 years ago

HELP...The volume of a rectangular prism is 36x^6y^8. The length of the prism is 4x^3y^5, and the width of the prism is 3xy^2. W

Margaret [11]

Answer:

$H = 3x^2y$

Step-by-step explanation:

Given

$V = 36x&^6y^8$

$L = 4x^3y^5$

$W = 3xy^2$

Required

Find the height of the prism

Volume (V) is calculated as:

$V =LWH$

Substitute values for V, L and W

$36x^6y^8 =4x^3y^5 * 3xy^2 * H$

Make H the subject

$H = \frac{36x^6y^8}{4x^3y^5 * 3xy^2}$

$H = \frac{36x^6y^8}{4*3x^3*x*y^5y^2}$

$H = \frac{36x^6y^8}{12x^4*y^7}$

Divide:

$H = 3x^{6-4}y^{8-7}$

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4 0

2 years ago

The length of a rectangular wire frame with dimensions of 12 cm × 8 cm increases at the rate of 0.5 cm per second, while its wid

arsen [322]

Answer:

2/3

Step-by-step explanation:

Since the length increases by 0.5 cm every second, after 8 seconds the length will increase by 4 cm. 12 + 8 + 12 + 8 = 40, and 40 - (16 + 16) = 8. 8/2 = 4, so the width is now 4. 16 * 4 = 64, and 12 * 8 = 96. 64/96 = 2/3.

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3 years ago

A very large batch of components has arrived at a distributor. The batch can be characterized as acceptable only if the proporti

KatRina [158]

Answer:

c. 0.10

Step-by-step explanation:

Hello!

To accept a batch of components, the proportion of defective components is at most 0.10.

X: Number of defective components in a sample of 10.

This variable has a binomial distribution with parameters n=10 and p= 0.10 (for this binomial experiment, the "success" is finding a defective component)

The distributor will accept the batch if at most two components are defective, symbolically:

P(X≤2)

Using the tables for the binomial distribution you can find the accumulated probability for a sample of n=10 with probability of success of p= 0.10 and number of successes x= 2

P(X≤2)= 0.9298

I hope this helps!

5 0

2 years ago