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inysia [295]
3 years ago
15

What are the length and width of a rectangle if the length exceeds the width by 75 inches and the perimeter is 158 inches

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
8 0
Width of 76 inches and length of 3

or width of 77 and length of 2

or width of 78 and length of 1

they all have a perminiter of 158 and all widths exceed 75

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Graph four points that satisfy the equation y=-x-2
slega [8]

Step-by-step explanation:

plug in variables for x

x= 1:

-(1)-2

y= -3

x=2

-(2)-2

y= -4

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-(3)-2

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x=4

-(4)-2

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3 years ago
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There are two coins, one is fair and one is biased. The biased coin has a probability of landing on heads equal to 4/5. One of t
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Answer:

72.4%

Step-by-step explanation:

The probability of A occurring given that B occurs = the probability of both A and B / the probability of B

P(A|B) = P(A∩B) / P(B)

This can be rearranged as:

P(A∩B) = P(B) P(A|B)

In this case:

A = biased coin is chosen

~A = fair coin is chosen

B = 4 heads then 1 tail

First, let's find P(A∩B).

P(A∩B) = P(B) P(A|B)

P(A∩B) = ½ × ₅C₄ (⅘)⁴ (⅕)¹

P(A∩B) = 0.2048

Next, find P(~A∩B).

P(~A∩B) = P(B) P(~A|B)

P(~A∩B) = ½ × ₅C₄ (½)⁴ (½)¹

P(~A∩B) = 0.078125

Therefore, the probability that the coin is biased is:

P = P(A∩B) / (P(A∩B) + P(~A∩B))

P = 0.2048 / (0.2048 + 0.078125)

P = 0.723866749

The probability is approximately 72.4%.

3 0
3 years ago
Find the measure of c in the figure below using the side lengths given
liubo4ka [24]

Answer:

Step-by-step explanation:

take angle C as reference angle

using tan rule

tan C=oppposite/adjacent

tan C=6/12

tan C=0.5

C=tan^{-1}0.5

C=26.6 degree

5 0
2 years ago
Jon answered 20 questions correctly on a 50-question test. Which does NOT
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Answer: .86

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3 years ago
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8. The two triangles are congruent as suggested by their appearance. Find the value of all the variables. The
adelina 88 [10]

Answer: d is 53 degrees, c is 5, g is 13, e is 90 degrees, f is 37 degrees, b is 12 .

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