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Aliun [14]
4 years ago
5

The baseball team has a double-header on Saturday. The probability that they will win both games is 18%. The probability that th

ey will win just the first game is 60%, What is the probability that the team will win the 2nd game given that they have already won the first game?
Mathematics
2 answers:
zhannawk [14.2K]4 years ago
8 0
I got 30%
60% as a decimal is 0.6
18% as a decimal is 0.18
0.6 times 30% or 0.3 is 0.18
Butoxors [25]4 years ago
6 0

Let the event to win the first game is F and to win the second game is S.

This question is from conditional probability and hence we use the below formula.

P(S/F)=\frac{P(F and S) }{P(F)}

Now, we have been given that

P(F and S)=0.18\\
P(F)=0.60

On substituting these given values in the formula, we get

P(S/F)=\frac{0.18}{0.60} \\
\\
P(S/F)=0.3=30\%

Therefore, the probability for winning the second game is 30%

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Michael saves $423 dollars a month for college.
alexandr1967 [171]

Answer:

(a). $20,000

(b). The estimate will be lower than the actual amount.

Step-by-step explanation:

We have been given that Michael saves $423 dollars a month for college.

(a). We know that 1 year equals 12 months.

4 years = 4*12 months = 48 months.

\text{Actual amount saved}=\$423\times 48

Since we are asked to find the estimated amount of money Michael will save in 4 years, so we will estimate both quantities as:

423\approx 400\\\\48\approx 50

\text{Actual amount saved}=\$400\times 50

\text{Actual amount saved}=\$20,000

Therefore, Michael will save approximately $20,000 in 4 years.

(b).

The estimate will be lower than the actual amount as we rounded $423 down $23 to nearest hundred that is $400 and rounded 48 up 2 to nearest ten that is 40.

Therefore, the estimate will be lower than the actual amount.

5 0
3 years ago
Which set of ordered pairs that satisfy the equation
krok68 [10]

Answer:

3

Step-by-step explanation:

3

5 0
3 years ago
Using the work shown on the left, What is the cubed root of 4/ the square root of 2 in simplest radical form
krek1111 [17]

Answer:

⁶√2

Step-by-step explanation:

∛4 = (2^2)^1/3 = 2^2/3

So ∛4 / √2

= 2^2/3 / 2^1/2

= 2^1/6

= ⁶√2

5 0
3 years ago
What is the perimeter of a square whose diagonal is 13.010
miskamm [114]

The perimeter would be ≈ 36.797836892947.

Rounded would be about 37, or 36.8.

Hope this helps!!!!

P=4a

d\sqrt{2a}

Solving for P:

P=2\sqrt{2d} =2*\sqrt{2*13.01}≈36.79784

Hope this helps!!

8 0
4 years ago
25 points for this please help with step by step
Svetllana [295]

a) 20.9

    The mean is calculated by adding up the scores and dividing the total by the number of scores, it is also called the average.

    First, we can count and see there are 11 players (makes sense for a football team). Adding up the ages gives us 19 + 19 + 20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23 = 230. Divide by 11 and we get a mean of of about 20.9!

b) 30

To figure this out, we will set up an equation that looks like this:

\frac{19 + 19 + 20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23+x}{12} =22

And now we will solve:

[multiply both sides by 12] 230 + x = 264

[subtract 130 from both sides] x = 30

So the age of the new player should be 30!

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

8 0
3 years ago
Read 2 more answers
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