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2 years ago

14

Give the dimensions of the rectangle with an area of 100 square units and whole number side lengths that has the largest perimet

er and the smallest perimeter?

1 answer:

attashe74 [19]2 years ago

8 0

25 and 4=100. length times width.

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HELP ASAP, LINKS AND ABSURD ANSWERS WILL BE REPORTED! I WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

liq [111]

1/10

hope this helps!!

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2 years ago

70% of the students applying to a university are accepted. Assume the requirements for a binomial experiment are satisfied for 1

marshall27 [118]

Answer:

a) 0.3826

b) 0.9894

Step-by-step explanation:

We are given the following information:

We treat students accepted at university as a success.

P(students accepted at university) = 70% = 0.70

Then the number of students accepted at university follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

a) P( 8 or more will be accepted)

$P(x \geq 8) = P(x = 8) + P(x = 9) + P(X=10)\\\\= \binom{10}{8}(0.7)^8(1-0.7)^2 + \binom{10}{9}(0.7)^9(1-0.7)^1+ \binom{10}{10}(0.7)^{10}(1-0.7)^0\\\\= 0.2334 + 0.1210 + 0.0282\\= 0.3826$

b) P(4 or more will be accepted)

$P(x \geq 4) =1 - P(x = 0) - P(x = 1) - P(X=2)-P(x=3)\\\\=1 - ( \binom{10}{0}(0.7)^0(1-0.7)^{10} + \binom{10}{1}(0.7)^1(1-0.7)^9+ \binom{10}{2}(0.7)^{2}(1-0.7)^8+ \binom{10}{3}(0.7)^{3}(1-0.7)^7 )\\\\= 1 - 0.0106\\= 0.9894$

6 0

2 years ago

Simplify and express in exponential form: 8^-1 * 3^3/ 2^-4 * 9^-2

Yuri [45]

Answer:

2^1* 3^7

Step-by-step explanation:

8^-1 * 3^3/ 2^-4 * 9^-2

Negative exponents move from the numerator to the denominator or from the denominator to the numerator

2^4*9^2* 3^3 /8^1

Rewriting 9^2 as 3^2^2 = 3^4 and 8 = 2^3

2^4 * 3^3 * 3^4 / 2^3

2^4/ 2^3 = 2 and 3^3 * 3^4 = 3^(3+4) = 3^7

2* 3^7

5 0

2 years ago

Read 2 more answers

The roots of the function f(x)=x^2-2x-3 are shown. what’s the missing number

aliya0001 [1]

Answer:

its 6

Step-by-step explanation:

i calculated but threw in trash by an accident

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2 years ago

Find the area of the shaded region in square units

Kaylis [27]

Answer:

There is nothing there...

Step-by-step explanation:

I wish I could help you but you need to put in a picture or diagram

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2 years ago