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2 years ago

What is a length of 6 ft and a width of 4 ft in area in meters

1 answer:

7 0

6 multiplied by 4 is 24 feet. Then convert it to meters by multiplying .3048 by 24 which means the answer is 7.3152 meters

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Five men and 5 women are ranked according to their scores on an examination. Assume that no two scores are alike and all 10! pos

m_a_m_a [10]

Answer:

$P(X=1)=\frac{1}{2}\\P(X=2)=\frac{5}{18}\\P(X=3)=\frac{5}{36}\\P(X=4)=\frac{5}{84}\\P(X=5)=\frac{5}{252}\\P(X=6)=\frac{1}{252} \\P(X>6)=0$

Step-by-step explanation:

Let's define the following event :

X : ''Highest ranking achieved by a woman''

There are five men and five women so the lowest ranking possible is 6, this means that all five men achieved a better ranking than all five women.

In terms of the variable :

X can assume the following values :

$X=1\\X=2\\X=3\\X=4\\X=5\\X=6$

⇒ $P(X=7)=0\\P(X=8)=0\\P(X=9)=0\\P(X=10)=0$

⇒ $P(X>6)=0$

Now let's calculate the probability function for X

$P(X=1)=\frac{(5)(9!)}{(10!)}=0.5=\frac{1}{2}$

We write on the denominator the total ways to arrange ten different persons in a line. This number is 10!

On the numerator we write the total cases in which the first person is a woman ⇒ (5).(9!)

Because they are five different women and when you pick one of then they are 9! ways to arrange the 9 remaining persons

Following this logic, we continue calculating the probability function :

$P(X=2)=\frac{(5)(5)(8!)}{(10!)}=\frac{5}{18}$

Again : Five different ways to choose between the five men in the first position.Then, 5 different ways to choose between the five women.And finally, 8! ways to arrange the remaining persons

$P(X=3)=\frac{(5)(4)(5)(7!)}{(10!)}=\frac{5}{36}$

Here we have : five different ways to choose between five men.Four different ways to choose between the four remaining men.Five different ways to choose between the five women for the third position and finally 7! ways to arrange the remaining persons.

$P(X=4)=\frac{(5)(4)(3)(5)(6!)}{(10!)}=\frac{5}{84}$

$P(X=5)=\frac{(5)(4)(3)(2)(5)(5!)}{(10!)}=\frac{5}{252}$

$P(X=6)=\frac{(5)(4)(3)(2)(1)(5)(4!)}{(10!)}=\frac{1}{252}$

3 0

3 years ago

A pair of shoes is on sale for 15% off. With this discount, customers will save $9 if they buy the shoes. Part AIn this situatio

In-s [12.5K]

Answer:

(b)The original price of the shoes is $60.

Explanation:

Part A

In this situation:

• 15% is the PERCENT

• $9 is the PART

• The original price is the WHOLE.

Part B

If 15% is taken off, the customer will save $9.

This means that 15% of the original price = $9.

Let the original price=p

$\begin{gathered} 15\%\text{ of p=9} \\ \frac{15}{100}p=9 \\ 15p=900 \\ p=\frac{900}{15} \\ p=60 \end{gathered}$

The original price of the shoes is $60.

8 0

1 year ago

If the triangle is

lana [24]

Answer:

Obtuse

Step-by-step explanation:

plzzz give brainliest

5 0

3 years ago

A swimming pool is drained at the end of each summer. Fifteen gallons of water are removed per minute. How much does the amount

BartSMP [9]

Multiplying -15 by 60 yields -900, so the amount of water in the pool changes by -900 gallons in one hour.

7 0

3 years ago

HELP ASAP PLS.

Sindrei [870]

Step-by-step explanation:

I have no idea if I'm doing it right but my guess would be to take the values that we get from f(x) and g(x) when x = 1. Therefore we get that f(x) is equal to 4 and g(x) is equal to -1. We than just do f/g which is 4/-1 which gives us the final answer of -4 which is option B.

Answer: Option B, -4

5 0

1 year ago