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viktelen [127]
3 years ago
14

Two opposite sides of a square with length x are increased by 3 units each and the other two opposite sides are decreased by 3 u

nits each. If the area of the resulting rectangle is 27 unit^2, what would be the width of the rectangle? Hint: area of rectangle = length × width
A 3
B 6
C 9
D -3
E -6
Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
5 0
All four sides of the original square have length s.

Adding 3 to s results in s+3, the length of the resulting rectangle.
Subtracting 3 from s results in s-3, the width of the rectangle.

The area of the rectangle is (s+3)(s-3) = s^2 - 9 = 27,  

and therefore s^2 = 36, and s = 6 square units.
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The weight of a cat is normally distributed with a mean of 9 pounds and a standard deviation of 2 pounds. Using the empirical ru
coldgirl [10]

If the value of the z-score is 1. Then the probability that a cat will weigh less than 11 pounds will be 0.84134.

<h3>What is the z-score?</h3>

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

The weight of a cat is normally distributed with a mean of 9 pounds and a standard deviation of 2 pounds.

Then the probability that a cat will weigh less than 11 pounds will be

The value of z-score will be

z = (11 – 9) / 2

z = 1

Then the probability will be

P(x < 11) = P(z < 1)

P(x < 11) = 0.84134

Thus, the probability that a cat will weigh less than 11 pounds will be 0.84134.

More about the z-score link is given below.

brainly.com/question/15016913

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4 0
2 years ago
The area of a circle is 77.28m2.<br> Find the length of the diameter rounded to 1 DP.
allochka39001 [22]

Answer:diameter=9.92m

Step-by-step explanation:

Area=77.28

π=3.14

Area=π x (d/2)^2

77.28=3.14 x (d/2)^2

Divide both sides by 3.14

77.28/3.14=(3.14x(d/2)^2)/3.14

24.6=(d/2)^2

Take them square root of both sides we get

d/2=√(24.6)

d/2=4.96

d=4.96 x 2

d=9.92

4 0
3 years ago
(1) An M&amp;Ms factory produces 109,500,000 M&amp;M’s every day. About ¼ of its M&amp;Ms are blue. Find the number of blue M&am
Gemiola [76]

Answer:

27,375,000

Step-by-step explanation:

Simply divide the total by 4.

4 0
3 years ago
I NEED HELPPPPPP!!!!!! which set of values is a function??​
PilotLPTM [1.2K]

Answer:

(6,-5),(7,-3),(8,-1),(9,1)

Step-by-step explanation:

a function cannot have two inputs for the same output as a(with 3),b(with9), and c(with5) have two output for 1 input ,they are not functions

8 0
3 years ago
Find two numbers whose sum is -2 and whose difference is -6.
navik [9.2K]

Step-by-step explanation:

x+y=-2

x-y=-6

x=-2-y

(-2-y)-y=-6

-2-2y=-6

-2y=-4

y=2

x=-4

8 0
3 years ago
Read 2 more answers
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