Write the equation of the line that passes through (0,5) and is perpendicular to the line x = 3.

The probability that a certain hockey team will win any given game is 0.3723 based on their 13 year win history of 385 wins out

Whitepunk [10]

Answer:

0.1505 = 15.05% probability that the hockey team wins 6 games in November

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the team wins, or it does not. The probability of winning a game is independent of winning other games. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The probability that a certain hockey team will win any given game is 0.3723

So $p = 0.3723$

12 games in November

So $n = 12$

What is the probability that the hockey team wins 6 games in November?

This is $P(X = 6)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 6) = C_{12,6}.(0.3723)^{6}.(1-0.3723)^{6} = 0.1505$

0.1505 = 15.05% probability that the hockey team wins 6 games in November

4 0

3 years ago

PLEASE HELP ME ASAP. I REALLY NEED THIS DONE

Juli2301 [7.4K]

Answer:

x = 65

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

(leg of big Δ )² = (part of hypotenuse below it ) × (whole hypotenuse)

x² = 25 × 169 = 4225 ( take square root of both sides )

x = $\sqrt{4225}$ = 65

6 0

2 years ago

A survey of voters explored the relationship between the ages of voters and wether or not they support building skateboard ramps

Novosadov [1.4K]

Answer:

(a)12%

(b)20%

(c)49%

Step-by-step explanation:

(a)In the age group 58 and above:

Number in favor of building the skateboard ramps=6

Number opposed to building the skateboard ramps=44
Total = 50

Percentage of those in favor = $\frac{6}{50}X100 =12\%$

(b)In the age group 18-37

Number in favor of building the skateboard ramps=40

Number opposed to building the skateboard ramps=10
Total = 50

Percentage of those opposed to it = $\frac{10}{50}X100 =20\%$

(c)

Total Number of those in favor of building the skateboard ramps=73

Total Number opposed to building the skateboard ramps=77
Total = 150

Percentage of those in favour = $\frac{73}{150}X100 =48.67 \approx 49\%$

6 0

3 years ago

Read 2 more answers

(08.03 LC) Factor completely: x2 + 10x + 24 (5 points) Prime (x + 12)(x + 2) (x + 3)(x + 8) (x + 6)(x + 4)

Alona [7]

Answer:

Option C is correct

Step-by-step explanation:

We need to factorize the expression:

$x^2+10x+24$

For factorization we need to break the middle term such that the product is equal to 24x^2 and the sum is equal to 10x

We know that 6*4 = 24 and 6+4 =10

So, solving

$=x^2+6x+4x+24$

Taking common

$=x(x+6)+4(x+6)$

$=(x+4)(x+6)$

So, the factors of

$x^2+10x+24$

are

$(x+4)(x+6)$

Hence Option C is correct

5 0

3 years ago

Zohar is using scissors to cut a rectangle with a length of 5x-2 and a width of 3x+1 out of a larger piece of paper . The perime

Dmitriy789 [7]

The total distance if x=4 is 62

7 0

3 years ago