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3 years ago

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Mathematics

1 answer:

Mnenie [13.5K]3 years ago

5 0

Answer:

Three hundred eighty five

Step-by-step explanation:

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Derek Jeter, the short stop for the New York Yankees, a major league baseball team, played in 159 games in 2012 and hit 15 home

jek_recluse [69]

Answer:

120 home runs.

Step-by-step explanation:

Let x be the number of home runs after playing 1272 games.

We have been given that Derek Jeter, the short stop for the New York Yankees, a major league baseball team, played in 159 games in 2012 and hit 15 home runs.

Let us find the probability of hitting home runs in next game.

$\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{ Total number of possible outcomes}}$

$\text{Probability of hitting home run in next game}=\frac{15}{159}$

To find the total number of home runs Derek will hit in his career, we will use relative probability, which is the ratio of the occurrence of a singular event and the total number of outcomes.

So we can set a proportion as:

$\frac{x}{1272}=\frac{15}{159}$

Let us multiply both sides of our equation by 1272.

$\frac{x}{1272}*1272=\frac{15}{159}*1272$

$x=15*8$

$x=120$

Therefore, Derek Jeter will hit approximately 120 home runs in his career.

6 0

3 years ago

The number of miles that a commuter travels a car per day for one seven day work week is as follows: 19, 28, 17, 39, 22, 44, 56.

olganol [36]

Car : (19 + 28 + 17 + 39 + 22 + 44 + 56) / 7 = 225/7 = 32.14
bus : (32 + 26 + 25 + 40 + 39 + 49 + 22)/7 = 233/7 = 33.29

bus has a higher commuter average

3 0

3 years ago

C=(3x-5)^2-36x^2<br> tìm x

MariettaO [177]

Answer:

C = -27x^2 - 30x + 25

Step-by-step explanation:

C = (3x - 5)^2 - 36x^2

~Use FOIL

C = 9x^2 -30x + 25 - 26x^2

~Simplify

C = -27x^2 - 30x + 25

Best of Luck!

8 0

3 years ago

DOG is a right triangle formed by the placement of 3 squares, what is the area of the shaded square?

stira [4]

Answer:

289 in^2

Step-by-step explanation:

1. Find side of the small square: (DG=a)

64= a^2

a= 8

2. Find hypotenuse of triangle being formed: (OG=c and DO=b)

$a^{2}$ + $b^{2}$ = $c^{2}$

$8^{2}$ + $15^{2}$ = $c^{2}$

c= 17

3. Find area of square:

$c^{2}$ = A

(17)*(17)= 289 in^2

6 0

3 years ago

Which expression is equivalent to the quantity five raised to the negative second power times three raised to the fifth power en

serg [7]

The equivalent expression is 5^(4) * 3^(-10)

<h3>How to determine the equivalent expression?</h3>

The statement is given as:

five raised to the negative second power times three raised to the fifth power end quantity all raised to the negative second power

Rewrite properly as:

(5^-2 * 3^5)^-2

Expand the expression by multiplying the exponents

So, we have:

5^(-2 -2) * 3^(5 *-2)

Evaluate the products

5^(4) * 3^(-10)

Hence, the equivalent expression is 5^(4) * 3^(-10)