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Karolina [17]
3 years ago
12

A baseball team has a record of 47 wins and 39 losses. How many games must the team win, in a row, so that the winning percentag

e will be above 70%?
A: 23 wins
B: 13 wins
C: 14 wins
D: 32 wins
E: 44 wins
Mathematics
1 answer:
Bumek [7]3 years ago
8 0

Answer:

44 wins

Step-by-step explanation:

47+39+x/100*70

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Convert 2 years 3 months into years?​
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Answer:

2.25 Years

Step-by-step explanation:

We know that a year has 12 months.  So, \frac{3}{12}=0.25.  We add this to 2 to get 2.25.

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3 years ago
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my final balance after 48 months was 896.00 if i originally put 800.00 into the bank what was the interest rate
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48 - 896.00 = 884
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2 years ago
A game of chance involves rolling an unevenly balanced 4-sided die. The probability that a roll comes up 1 is 0.22, the probabil
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Answer:

Expected Winnings = 2.6

Step-by-step explanation:

Since the probability of rolling a 1 is 0.22 and the probability of rolling either a 1 or a 2 is 0.42, the probability of rolling only a 2 can be determined as:

P_{1,2} = P_{1}+P_{2}\\P_{2} = 0.42 - 0.22 = 0.20

The same logic can be applied to find the probability of rolling a 3

P_{2,3} = P_{2}+P_{3}\\P_{3} = 0.54 - 0.20 = 0.34

The sum of all probabilities must equal 1.00, so the probability of rolling a 4 is:

P_{4} =1- P_{1}+P_{2}+P_{3} = 1-0.22+0.20+0.34\\P_{4}=0.24

The expected winnings (EW) is found by adding the product of each value by its likelihood:

EW=1*P_{1}+2*P_{2}+ 3*P_{3}+ 4*P_{4} \\EW=1*0.22+2*0.20+ 3*0.34+ 4*0.24\\EW=2.6

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8 0
3 years ago
Given the expression: 3x^10 − 48x^2
photoshop1234 [79]

Answer:

Part A: 3x²(x⁸ - 16)

Part B: 3x²(x² - 2)(x² + 2) (x² - 2x + 2)(x² + 2x + 2)  

Step-by-step explanation:

Part A. Factor out the greatest common factor

3x¹⁰ - 48 x²

= 3x²(x⁸ - 16)

Part B. Factor the expression completely

(i) Factor the difference of squares

x⁸ - 16

= (x⁴ - 4)(x⁴ + 4)

= (x² - 2)(x² + 2)(x⁴ + 4)

3x¹⁰ - 48 x² = 3x²(x² - 2)(x² + 2)(x⁴ + 4)

(ii) Factor the sum of squares

Use the Sophie Germain Identity to factor x⁴ + 4.

x⁴ + 4

= (x²)² + 2²           (Still a sum of squares)

= (x² + 2)² - 4x²    (Factor this as a difference of squares)

= (x² + 2 - 2x)(x² + 2 + 2x)

3x¹⁰ - 48 x² = 3x² (x² - 2)(x² + 2) (x² - 2x + 2)(x² + 2x + 2)

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