24 x 85 Needs to be solved in multiplication vertical

This season, the probability that the Yankees will win a game is 0.49 and the

kozerog [31]

Answer:

0.226 = 22.6% probability that the Yankees will lose when they score 5 or more runs

Step-by-step explanation:

Conditional probability:

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

If the Yankees score 5 or more runs, either they win, or they lose. The sum of these probabilities is 1.

Probability that the Yankees win:

Event A: Scoring 5 or more runs.

Event B: Winning

The probability that the Yankees will score 5 or more runs in a game is 0.53.

This means that $P(A) = 0.53$

The probability that the Yankees win and score 5 or more runs is 0.41.

This means that $P(A \cap B) = 0.41$

So

$P(B|A) = \frac{0.41}{0.53} = 0.774$

0.774 probability that the Yankees will win when they score 5 or more runs

What is the probability that the Yankees will lose when they score 5 or more runs?

p + 0.774 = 1

p = 1 - 0.774

p = 0.226

0.226 = 22.6% probability that the Yankees will lose when they score 5 or more runs

5 0

3 years ago

A banner is in the shape of a rectangle.It is 18 feet long and 9 feet wide.What is its perimeter?

Hatshy [7]

The given problem can be exemplified in the following diagram:

The perimeter of a figure is the sum of all of its sides, therefore, the perimeter of the figure is:

$P=18ft+18ft+9ft+9ft$

Adding the terms:

$P=54ft$

therefore, the perimeter is 54 feet.

6 0

1 year ago

Six times a number equals 3 times the number, increased by 12. Find the number

tino4ka555 [31]

Answer:

x=4

Step-by-step explanation:

"A number" can be rewritten as X:

6x=3x+12

1) subtract 3x on both sides:

3x=12

2) divide both sides by 3:

x=4

4 0

3 years ago

100m In 9 3/5 seconds

Nostrana [21]

Answer:

Speed = 10.42 m/secs

Step-by-step explanation:

We have been given with:-

Distance = 100m

Time taken = 9 $\frac{3}{5}$ secs

1) First, we need to convert the mixed number 9 $\frac{3}{5}$ to an improper fraction.

Method to convert a mixed number to an improper fraction

 $a\frac{b}{c} = \frac{c*a+b}{c}$ 

Applying the above formula, we get

9 $\frac{3}{5}$ = $\frac{5*9+3}{5}$

= $\frac{45+3}{5}$

= $\frac{48}{5}$

2) Now we need to convert $\frac{48}{5}$ into a decimal by dividing 48 by 5.

We get time taken as 9.6 secs

3) We need to find the speed using the below formula:-

Speed = $\frac{Distance}{Time taken}$

Plugging the values of Distance and Time taken into the formula, we get

Speed = $\frac{100}{9.6}$

= 10.416 m/secs

4) Upon rounding it to the nearest hundredth, we get

Speed = 10.42 m/secs

4 0

3 years ago

Marcus bought a varsity jacket. The total cost, including an 8% sales tax, was $86.40. What was the price p of the jacket?

ra1l [238]

Answer:

$86.40

Step-by-step explanation:

80 + 8%= 86.40

4 0

2 years ago

24x85Needs to be solved in multiplication vertical ​

24x85Needs to be solved in multiplication vertical