HELP PLZ NOT good w/ percentage. this my ixl

Suppose that the distance a car travels varies directly with the amount of gasoline it uses. A certain car uses 15 gallons of ga

xeze [42]

Answer:

The answer is 21

Step-by-step explanation:

7 0

3 years ago

The cargo box of an 18-wheeler truck has an inside length of 39.6 feet,width of 7.6 feet,and a height of 8.8 feet.What is the ca

Tom [10]

Answer:

2,648.448 cubic feet

Step-by-step explanation:

The cargo box of a truck is a rectangular prism. The volume of a rectangular prism is l*w*h.

If the length is 39.6 ft, the width is 7.6 ft and the height is 8.8 ft then the volume is (39.6)(7.6)(8.8) = 2,648.448 cubic feet

6 0

4 years ago

Give the answer and explain, please!

Dimas [21]

Answer:

The total yearly cost is $300 at each gym for 50 visits.

Step-by-step explanation:

Healthy Gym: 6n = t

Fitness Gym: 50 + 5n = t

When n = 50 visits, then...

Healthy Gym: 6(50) = $300

Fitness Gym: 50 + 5(50) = $300

8 0

4 years ago

B3 + y when<br> b = 3 and y = 4.5

Elis [28]

Answer:

31.5

explanation if you need it -

b3 + y

when b = 3 and y= 4.5

b x b x b + y

1, substitute the values

3x3x3 + 4.5

27+ 4.5

31.5

5 0

3 years ago

A stack of cards consists of seven red and four blue cards. A second stack of cards consists of eleven red cards. A stack is sel

Ann [662]

Answer:

0.1733 = 17.33% probability the first stack was selected.

Step-by-step explanation:

To solve this question, it is needed to understand conditional probability, and the hypergeometric distribution.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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

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

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.

Probability of all red cards for the first stack:

For this, we use the hypergeometric distribution, as the cards all chosen without replacement.

7 + 4 = 11 cards, which means that $N = 11$ .

7 red, which means that $k = 7$

3 are chosen, which means that $n = 3$

We want all red, so we find P(X = 3).

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 3) = h(3,11,3,7) = \frac{C_{7,3}*C_{4,0}}{C_{11,3}} = 0.2121$

Conditional probability:

Event A: All red

Event B: From the first stack.

Probability of all red cards:

0.2121 of 50%(first stack)

1 of 50%(second stack). So

$P(A) = 0.2121*0.5 + 1*0.5 = 0.60605$

Probability of all red cards and from the first stack:

0.21 of 0.5. So

$P(A \cap B) = 0.21*0.5 = 0.105$

What is the probability the first stack was selected?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.105}{0.60605} = 0.1733$

0.1733 = 17.33% probability the first stack was selected.

4 0

3 years ago