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3 years ago

12

a bathtub is filled with 110 gallons of water. The tub drains at a rate of 5 gallons every 2 minutes. How long will it take befo

re the bath tub is empty. Write an equation.

1 answer:

Gnesinka [82]3 years ago

4 0

Answer:

It will take 22 minutes

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The graphs below have the same shape. What is the equation of the blue

lbvjy [14]

Answer: D.g(x)=(x-2)^2+1

Step-by-step explanation:A p E x verified

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3 years ago

which of the following is the equation of a line in slope-intercept form for a line with slope = 1/2 and y intercept at (0,-4)?

oee [108]

Answer:

y = $\frac{1}{2}$ x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = $\frac{1}{2}$ and c = - 4 , then

y = $\frac{1}{2}$ x - 4 ← equation of line

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2 years ago

There are 14 juniors and 16 seniors in a chess club. a) From the 30 members, how many ways are there to arrange 5 members of the

Dmitrij [34]

Answer:

a) 17,100,720

b) 4,717,440

c) 10,920

d) 2821

Step-by-step explanation:

14 juniors and 16 seniors = 30 people

a) From the 30 members, how many ways are there to arrange 5 members of the club in a line?

As it is a ordered arrangement

30.29.28.27.26 = 17,100,720

b) How many ways are there to arrange 5 members of the club in a line if there must be a senior at the beginning of the line and at the end of the line?

16.28.27.26.15 = 4,717,440

c) If the club sends 2 juniors and 2 seniors to the tournament, how many possible groupings are there?

Not ordered arrangement. And means that we need to multiply the results.

C₁₄,₂ * C₁₆,₂

C₁₄,₂ = <u>14.13.12!</u> = <u>14.13 </u>= 91

12! 2! 2

C₁₆,₂ = <u>16.15.14!</u> = <u>16.15 </u>= 120

14! 2! 2

C₁₄,₂ * C₁₆,₂ = 91.120 = 10,920

d) If the club sends either 4 juniors or 4 seniors, how many possible groupings are there?

Or means that we need to sum the results.

C₁₄,₄ + C₁₆,₄

C₁₄,₄ = <u>14.13.12.11.10!</u> = <u>14.13.12.11 </u>= 1001

10! 4! 4.3.2.1

C₁₆,₄ = <u>16.15.14.13.12!</u> = <u>16.15.14.13 </u>= 1820

12! 4! 4.3.2.1

C₁₄,₄ + C₁₆,₄ = 1001 + 1820 = 2821

7 0

3 years ago

The weights of college football players are normally distributed with a mean of 200 pounds and a standard deviation of 50 pounds

belka [17]

Answer:

$P(170$

And we can find this probability with this difference:

$P(-0.6$

Step-by-step explanation:

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(200,50)$

Where $\mu=200$ and $\sigma=50$

We want to find the following probability:

$P(170$

And we can use the z score formula given by:

$z=\frac{x-\mu}{\sigma}$

And using this formula we got:

$P(170$

And we can find this probability with this difference:

$P(-0.6$

8 0

3 years ago

The dot plot shows the langths of the 12 sold at a store last month

malfutka [58]

Answer:

?

Step-by-step explanation:

Sorry, what is the question you need solved?

8 0

2 years ago