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DanielleElmas [232]
4 years ago
11

Please help! Fast! It needs to be done and show me the steps.

Mathematics
1 answer:
mr_godi [17]4 years ago
4 0
---------------------------------------------
Formula
---------------------------------------------
Sum of all exterior numbers = 360°

---------------------------------------------
Apply Formula
---------------------------------------------
z + 45 + 55 + 78 + 74 + z = 360

---------------------------------------------
Combine likes term
---------------------------------------------
2z + 252 = 360

---------------------------------------------
Take away 252 from both sides
---------------------------------------------
2z = 360 - 252
2z = 108

---------------------------------------------
Divide by 2 on both sides
---------------------------------------------
2z = 108
z = 108 ÷ 2
z = 54

---------------------------------------------
Find z + 45
---------------------------------------------
z + 45 = 54 + 45 
z + 45 = 99°

---------------------------------------------
Answer: 99°
---------------------------------------------
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Step-by-step explanation:

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f(x)= 5x+10, if x=10

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In an experiment, college students were given either four quarters or a $1 bill and they could either keep the money or spend it
gavmur [86]

Answer:

a) P(A|B) = \frac{15/83}{44/83} =\frac{15}{44}=0.341

b) P(B|A) = \frac{29/83}{44/83} =\frac{29}{44}=0.659

c)  A. A student given a $1 bill is more likely to have kept the money.

Because the probability 0.659 is atmoslt two times greater than 0.341

Step-by-step explanation:

Assuming the following table:

                                                     Purchased Gum      Kept the Money   Total

Students Given 4 Quarters              25                              14                      39

Students Given $1 Bill                       15                               29                    44

Total                                                   40                              43                     83

a. find the probability of randomly selecting a student who spent the money, given that the student was given a $1 bill.

For this case let's define the following events

B= "student was given $1 Bill"

A="The student spent the money"

For this case we want this conditional probability:

P(A|B) =\frac{P(A and B)}{P(B)}

We have that P(A)= \frac{40}{83} , P(B)= \frac{44}{83}, P(A and B)= \frac{15}{83}

And if we replace we got:

P(A|B) = \frac{15/83}{44/83} =\frac{15}{44}=0.341

b. find the probability of randomly selecting a student who kept the money, given that the student was given a $1 bill.

For this case let's define the following events

B= "student was given $1 Bill"

A="The student kept the money"

For this case we want this conditional probability:

P(A|B) =\frac{P(A and B)}{P(B)}

We have that P(A)= \frac{43}{83} , P(B)= \frac{44}{83}, P(A and B)= \frac{29}{83}

And if we replace we got:

P(B|A) = \frac{29/83}{44/83} =\frac{29}{44}=0.659

c. what do the preceding results suggest?

For this case the best solution is:

A. A student given a $1 bill is more likely to have kept the money.

Because the probability 0.659 is atmoslt two times greater than 0.341

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Answer:

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Step-by-step explanation:

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