Find the area of the triangle that has a base of 16 yd and a height of 9 yd.

The odds against Carl beating his friend in a round of golf are 7:5. Find the probability that carl will beat his friend.

Leya [2.2K]

Answer:

$\frac{5}{12}$

Step-by-step explanation:

In other words, carl's losing odds are 7 : 5, so his winning odds will be 5 : 7

So if they play (7+5=12) 12 times, carl will win 5 times.

To find probability that carl will beat his friend, we take the probability of Carl winning. Simple!

The probability is 5/ 12

3 0

3 years ago

Which choice is the slope-intercept equation of the line shown below?

Neporo4naja [7]

Answer:

C is my answer

Step-by-step explanation:

6 0

3 years ago

In ΔJKL, the measure of ∠L=90°, the measure of ∠J=25°, and KL = 26 feet. Find the length of LJ to the nearest tenth of a foot.

saul85 [17]

Answer:

55.8 feet

I hope this helps people

7 0

3 years ago

You play in a soccer tournament, that consists of 5 games. Each game you win with probability .6, lose with probability .3, and

nasty-shy [4]

Answer:

(a) The joint PMF of W, L and T is:

$P(W,\ L,\ T)={5\choose (n_{W}!\times n_{L}!\times n_{T}!)}\times [0.60]^{n_{W}}\times [0.30]^{n_{L}}\times [0.10]^{n_{T}}$

(b) The marginal PMF of W is:

$P(W=w)={5\choose n_{W}!}\times 0.60^{n_{W}}\times (1-0.60)^{n-n_{W}}$

Step-by-step explanation:

Let X = number of soccer games played.

The outcome of the random variable X are:

W = if a game won

L = if a game is lost

T = if there is a tie

The probability of winning a game is, P (W) = 0.60.

The probability of losing a game is, P (L) = 0.30.

The probability of a tie is, P (T) = 0.10.

The sum of the probabilities of the outcomes of X are:

P (W) + P (L) + P (T) = 0.60 + 0.30 + 0.10 = 1.00

Thus, the distribution of W, L and T is a appropriate probability distribution.

(a)

Now, the outcomes W, L and T are one experiment.

The distribution of n independent and repeated trials, each having a discrete number of outcomes, each outcome occurring with a distinct constant probability is known as a Multinomial distribution.

The outcomes of X follows a Multinomial distribution.

The joint probability mass function of W, L and T is:

$P(W,\ L,\ T)={n\choose (n_{W}!\times n_{L}!\times n_{T}!)}\times [P(W)]^{n_{W}}\times [P(L)]^{n_{L}}\times [P(T)]^{n_{T}}$

The soccer tournament consists of n = 5 games.

Then the joint PMF of W, L and T is:

$P(W,\ L,\ T)={5\choose (n_{W}!\times n_{L}!\times n_{T}!)}\times [0.60]^{n_{W}}\times [0.30]^{n_{L}}\times [0.10]^{n_{T}}$

(b)

The random variable W is defined as the number games won in the soccer tournament.

The probability of winning a game is, P (W) = p = 0.60.

Total number of games in the tournament is, n = 5.

A game is won independently of the others.

The random variable W follows a Binomial distribution.

The probability mass function of W is:

$P(W=w)={5\choose n_{W}!}\times 0.60^{n_{W}}\times (1-0.60)^{n-n_{W}}$

Thus, the marginal PMF of W is:

$P(W=w)={5\choose n_{W}!}\times 0.60^{n_{W}}\times (1-0.60)^{n-n_{W}}$

3 0

3 years ago

For every pound a company spends on advertising, it spends 59 pence on its website. Express the amount spent on advertising to i

Tom [10]

Answer:

100:59

Step-by-step explanation:

1 pound = 100pence

59 pence

100:59

4 0

3 years ago