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3 years ago

Can you help me with my math

Mathematics

1 answer:

Stells [14]3 years ago

3 0

1.domain={1,3,6} range={2,5,8} yes it is a function
2.domain={3,2} range={7,13} no it’s is not a function
3.domain={0,2,4} range={-1,1,3,5} no it is not a function
4. 0 ride=$0 1ride=$3 2ride=$6 3ride=$9 4ride=$12 5ride=$15
Yes it is a function
(If you want me to explain I can)

Hope this helps

Have a great day/night

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Suppose it takes 18 hours for a pipe to fill a tank of water, if the tank

Lemur [1.5K]

Answer:

Step-by-step explanation:

Let the volume of tank be x

In 18 hours volume of tank filled = x

we have to find the volume of tank which is filled in 1 hours.

For that we divide LHS and RHS by 18

In 18/18 hours volume of tank filled = x/18

In 1 hours volume of tank filled = x/18

In 30 hours volume of tank emptied = x

we have to find the volume of tank which is emptied in 1 hours.

For that we divide LHS and RHS by 30

in 30/30 hours volume of tank filled = x/30

In 1 hours volume of tank filled = x/30

If tank is empty and one starts to fill it, two things will happen

it will start filling at rate of x/18 hours

But there is leak which will start to empty the tank at x/30 hours

So , at any given time rate if filling of water will be rate of filling the tank- rate of emptying the tank

In 1 hour volume of tank filled if both filling and leaking takes place simultaneously = x/18 -x/30 = (30-18)x/18*30 = 12x/18*30 = x/3*15 = x/45

In 1 hour volume of tank filled = x/45

in 1*45 hour volume of tank filled = x/45*45 = x

Thus, it will take 45 hours to fill the leaky tank .

4 0

4 years ago

Find the area of a regular nonagon with a side length of 7 and an apothem of 5

vitfil [10]

A NONA=9, nonagon has 9 sides, so it's perimeter is 7+7+7+7+7+7+7+7+7, or 63, and we know the apothem.

bearing in mind that the area of a regular polygon is
(1/2)ap a = apothem, p = perimeter

so in this case that'd be (1/2)(5)(63).

7 0

4 years ago

what is y=2x+3 y=−3x+3

cestrela7 [59]

Step-by-step explanation:

equate the two equations

8 0

2 years ago

Solve the equation.<br> 4(x + 2) = 40

puteri [66]

Answer:

X=9

Step-by-step explanation:

4x+8=40

4x=40-8

4x=32

X=9

3 0

3 years ago

Read 2 more answers

At a local company, the ages of all new employees hired during the last 10 years are normally distributed. The mean age is 35 ye

MAVERICK [17]

Answer:

P =26%

Step-by-step explanation:

In this problem we have the ages of all new employees hired during the last 10 years of normally distributed.

We know that the mean is $\mu = 35$ years and standard deviation is $\sigma = 10$ years

By definition we know that if we take a sample of size n of a population with normal distribution, then the sample will also have a normal distribution with a mean

$\mu_m = \mu$

And with standard deviation

$\sigma_m = \frac{\sigma}{\sqrt{n}}$

Then the average of the sample will be

$\mu_m = 35\ years$

And the standard deviation of the sample will be

$\sigma_m =\frac{10}{\sqrt{10}} = 3.1622$

Now we look for the probability that the mean of the sample is greater than or equal to 37.

This is

$P({\displaystyle{\overline {x}}}\geq 37)$

To find this probability we find the Z-score

$Z = \frac{{\displaystyle{\overline{x}}} -\mu}{\frac{\sigma}{\sqrt{n}}}$

$Z = \frac{37 -35}{\frac{10}{\sqrt{10}}} = 0.63$

$P({\displaystyle{\overline {x}}}\geq 37) = P(\frac{{\displaystyle{\overline {x}}}-\mu}{\frac{\sigma}{\sqrt{n}}}\geq\frac{37-35}{\frac{10}{\sqrt{10}}}) = P(Z\geq0.63)$

We know that

$P(Z\geq0.63)=1-P(Z$

Looking in the normal table we have:

$P(Z\geq0.63)=1-0.736\\\\P(Z\geq0.63) = 0.264$

Finally P = 26%

5 0

4 years ago