Ask question

Ask question

All categories

2 years ago

9

Damien is competing in both swimming and running at a competition. After analyzing himself and his competitors, he knows that he

has a 65% chance of winning at swimming and an 85% chance of winning at running. What is the probability that he will win the running event, but lose the swimming event?

1 answer:

leva [86]2 years ago

5 0

Answer:

$Probability = 0.2975$

Step-by-step explanation:

Giving:

<u>Swimming</u>

$P(Win[Swim])= 65\%$

<u>Running</u>

$P(Win[Run])= 85\%$

<u>Required</u>

Determine the probability of winning at running and losing at swimming

First, we calculate the probability of losing at swimming using

$P(Win) + P(Lose) = 1$

Substitute 65% for P(Win)

$65\% + P(Lose[Swim]) = 1$

Collect Like Terms

$P(Lose[Swim]) = 1 - 65\%$

$P(Lose[Swim]) = 35\%$

The required probability is then calculated using:

$Probability = P(Win[Run]) * P(Lose[Swim])$

$Probability = 85\% * 35\%$

Convert to decimal

$Probability = 0.85 * 0.35$

$Probability = 0.2975$

You might be interested in

Find the slope (8,-5) (8,10)

andreev551 [17]

Finding the slope using two points:

The formula for slope is

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

In this case...

$y_{2} =10\\y_{1} =-5\\x_{2} =8\\x_{1} =8$

^^^Plug these numbers into the formula for slope...

$\frac{10-(-5)}{8-8$

$\frac{15}{0}$

Your slope is undefined. This means that you line is vertical

Hope this helped!

~Just a girl in love with Shawn Mendes

3 0

3 years ago

In the graph of an inequality, the area above a dashed line through the points (−6, 4) and (2, 4) is shaded. Which inequality do

Drupady [299]

Answer:A. y ≥ 2

Step-by-step explanation:

First the line is solid, a complete line not dotted so the inequality sign to use is : ≥ or ≤

The points have their y-coordinate vale as 2, (−5, 2) and (3, 2), this means the line crosses the y-axis at y=2 but because the shaded part is above this line, then the correct inequality will be :

y ≥ 2

7 0

2 years ago

Solve this system using substitution:

Sholpan [36]

Answer:

16x- 20y=20

Step-by-step explanation:

20y-20y =0

so answer is 16x

5 0

3 years ago

Read 2 more answers

Oprah makes $156.00 per day plus an additional 8% commission on her sales. Which equation could be used to find how much Oprah m

Natasha_Volkova [10]

Answer:

The answer is <u>C.</u> 0.08x + $156.00 = r.

Step-by-step explanation:

Given:

Oprah makes $156.00 per day plus an additional 8% commission on her sales.

She sold x dollars worth.

Now, to find equation how much Oprah made in one day, r.

As. given in question:

She makes per day = $156.00.

Worth of sold = $x.$

Commision on her sales = 8%.

And one day = $r.$

Now, to get the equation Oprah made in one day:

$r=\$156.00+8\%\ of\ x.$

$r=\$156.00+\frac{8}{100} \times x$

$r=\$156.00+0.08\times x$

$r=\$156.00+0.08x$

$r=0.08x+\$156.00$

$0.08x+\$156.00=r$

<em>Thus, the equation is</em> $0.08x+\$156.00=r.$

Therefore, the answer is C. 0.08x + $156.00 = r.

5 0

3 years ago

The bureau of labor statistics reported the consumer price index as 211.4 in december 2007, and 231.1 in december 2012. by what

Anvisha [2.4K]

The first step to determine the percentage of increase is to compute for the difference of consumer price index in value.

231.11 (consumer price index for 2012) – 211.4 (consumer price index for 2007) = 19.71 (increase)

To compute for the percentage of increase, you need to compare the increase to the consumer price index for 2007.

19.71/211.4 = 9.3% increase

5 0

2 years ago