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Tatiana [17]
2 years ago
12

3. The Round Rock Express has a pitcher with an impressive winning record. Opposing teams are attempting to analyze his pitches.

The pitcher throws a strike 35of the time. If the pitcher throws a strike the next pitch is a fastbal 40% of the time. If the pitcher doesn't throw a strike the next pitch is a fastball 80% of the time.
Mathematics
1 answer:
Maurinko [17]2 years ago
5 0

Answer:

0.66

Step-by-step explanation:

Given:

Let P(Throwing strike) = 0.35

So,

P(S') = 1 - 0.35 = 0.65

P(A / B) = P(A and B) / P(B)

P(Throwing fastball and thrown strike) = P(F / S) = 40% = 0.4

P(Throwing fastball  not thrown  strike) = P(F / S') = 80%

P(Throwing fastball  not thrown  strike) =0.8

So,

P(F and S) = 0.8 x 0.65

P(F and S) = 0.52

P(F) = [P(F / S) x P(S)] + [P(F / S') x P(S')]

= (0.4 x 0.35) + (0.8  x 0.65)

= 0.14 + 0.52

= 0.66

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Chris and Becky are comparing mortgages. The mortgage is for $183,500. If they choose 30 years at 5%, their monthly payment will
Anestetic [448]

Answer:

Total payback for Loan type 1 = $354,625.20

Total payback for Loan type 2 = $278,618.40

Explanation

Total payback of a loan consists of the summation of the amount of mortgage to be paid and total interest to be paid after the given number of years.

Total payback of a loan can also be calculated by multiplying your monthly payment of the loan by the total number of months given for payment.

a. For Loan type 1

In the question we have been given or monthly payment = $985.07

The formula for Total payback for Loan type 1 = Monthly payment × number of months

Numbers of years for payment of loan = 30 years

1 years = 12 months

Hence,

Number of months = 30 years × 12 months

Number of months = 360 months

Total payback of loan = $985.07 × 360 months

= $354,625.20

b. For Loan type 2

In the question we have been given or monthly payment = $1160.91

The formula for Total payback for Loan type 1 = Monthly payment × number of months

Numbers of years for payment of loan = 30 years

1 years = 12 months

Hence,

Number of months = 20 years × 12 months

Number of months = 240 months

Total payback of loan = $1160.91 × 240 months

= $278,618.4

Step-by-step explanation:

4 0
2 years ago
850-53x m= 720-39x m
insens350 [35]

Answer:

9.286

Step-by-step explanation:

I'm not guaranteeing this answer. If this is correctly written without any indication of how to deal with x, then here is as much as you can do.

850-53x m= 720-39x m                         Subtract 720 from both sides.

850 - 720 - 53x = 720 - 720 - 39xm      Combine

- 53xm + 130 = - 39xm                             Add 53x

-53x+53xm + 130 = -39x + 53xm            Combine

                      130 = 14xm                         Divide by 14

xm = 130/14

xm = 9.28

===============================

You can use the same steps above. I'm abbreviating the steps because they are the same.

I'm sure there is more to the problem, but I can't imagine what it is. If you have additional directions, put it under this answer. I will get it as a comment.

850-53m= 720-39m

850 - 720 - 53m = - 39m

130 - 53m = - 39m

130 = -39m + 53m

130 = 14m

130/14 = m

m =9.286

4 0
2 years ago
The sum of two polynomials is 8d5 – 3c3d2 + 5c2d3 – 4cd4 + 9. If one addend is 2d5 – c3d2 + 8cd4 + 1, what is the other addend?
MatroZZZ [7]

Answer:

a. x = 6d^5 - 2c^3d^2 + 5c^2d^3 - 12cd^4 + 8

Step-by-step explanation:

Given that

8d^5 + 3c^3d62 + 5c^2d^3 - 4cd^4 + 9

Now

if one is added i.e.

2d^5 - c^3d^2 + 8cd^4 + 1

Now let us assume the other polynomial be x

So,

8d^5 + 3c^3d62 + 5c^2d^3 - 4cd^4 + 9 = x  + (2d^5 - c^3d^2 + 8cd^4 + 1)\\\\x = 8d^5 + 3c^3d62 + 5c^2d^3 - 4cd^4 + 9 - (2d^5 - c^3d^2 + 8cd^4 + 1)\\\\

x = (8d^5 - 2d^5) + (-3c^3d^2 + c^3d^2) + 5c^2d^3+ (-4cd^4-8cd^4) + (9-1)\\\\x = 6d^5 - 2c^3d^2 + 5c^2d^3 - 12cd^4 + 8

8 0
3 years ago
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Anettt [7]

Answer:

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Step-by-step explanation:

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3 years ago
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ale4655 [162]

The slope-point formula:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

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3 0
3 years ago
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