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ankoles [38]
3 years ago
7

Please help Find the area of the rectangle by multiplying its length and width.

Mathematics
2 answers:
Julli [10]3 years ago
7 0

the answer is D. man

bogdanovich [222]3 years ago
5 0

Answer:

D.  (21x2 - 17x + 2)\text{ square units }

Step-by-step explanation:

Given,

The length of the rectangle = (7x-1) unit,

Its width = (3x-2) unit,

We know that,

The area of a rectangle = Length × Width

So, the area of the rectangle,

A=(7x-1)(3x-2)

=(7x-1)(3x)-(7x-1)(2)  ( Distributive property )

=21x^2-3x-14x+2     ( Again by distributive property )

=21x^2-17x+2

Hence, Option D is correct.

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WILL GIVE BRAINLIEST 10 POINTS Select all ordered pairs that satisfy the function y= -1/2x + 4
Ulleksa [173]
B I think but i could be totally wrong
3 0
2 years ago
The diagonal of a TV screen is 26 inches. The screen is 18.8 inches wide. How high is the screen? Round to the nearest hundredth
cluponka [151]
26^2 = 18.8^2 + H^2
H^2 = 322.56
H = 17.96 inches
8 0
3 years ago
The probability that your call to a service line is answered in less than 30 seconds is 0.75. Assume that your calls are indepen
vfiekz [6]

Answer:

a) 0.2581

b) 0.4148

c) 17

Step-by-step explanation:

For each call, there are only two possible outcomes. Either they are answered in less than 30 seconds. Or they are not. The probabilities for each call are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

p = 0.75

a. If you call 12 times, what is the probability that exactly 9 of your calls are answered within 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is P(X = 9) when n = 12. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 9) = C_{12,9}.(0.75)^{9}.(0.25)^{3} = 0.2581

b. If you call 20 times, what is the probability that at least 16 calls are answered in less than 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is P(X \geq 16) when n = 20

So

P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 16) = C_{20,16}.(0.75)^{16}.(0.25)^{4} = 0.1897

P(X = 17) = C_{20,17}.(0.75)^{17}.(0.25)^{3} = 0.1339

P(X = 18) = C_{20,18}.(0.75)^{18}.(0.25)^{2} = 0.0669

P(X = 19) = C_{20,19}.(0.75)^{19}.(0.25)^{1} = 0.0211

P(X = 20) = C_{20,20}.(0.75)^{20}.(0.25)^{0} = 0.0032

So

P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.1897 + 0.1339 + 0.0669 + 0.0211 + 0.0032 = 0.4148

c. If you call 22 times, what is the mean number of calls that are answered in less than 30 seconds? Round your answer to the nearest integer.

The expected value of the binomial distribution is:

E(X) = np

In this question, we have n = 22

So

E(X) = 22*0.75 = 16.5

The closest integer to 16.5 is 17.

7 0
3 years ago
In need help with the answer
gayaneshka [121]

Answer:

2

Step-by-step explanation:

there is 2:   3<u>  1  </u>

                      4

3 0
2 years ago
Perimeter/area (triangles) ! PLZ HELP
BartSMP [9]

Answer:

50ft^2

Step-by-step explanation:

area of triangle ABC=25ft^2

both triangle have equal area and all together it makes a rectangle ABCD so ,

rect. ABCD=25+25=50FT^2

3 0
3 years ago
Read 2 more answers
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