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mestny [16]
3 years ago
7

Is √4 rational or irrational?​

Mathematics
1 answer:
Lelu [443]3 years ago
7 0
Rational because you get a whole number
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fredd [130]
Since there are 50 stars, it would be 50 as 2500 divided by 50 is 50
4 0
3 years ago
A planting bed contains 0.75 tons of soil. A landscaper will apply fertilizer to the bed. The directions say to apply 1 ounce of
Lelechka [254]

Question:

A planting bed contains 0.75 tons of soil. A landscaper will apply fertilizer to the bed. The directions say to apply 1 ounce of fertilizer for every 100 pounds of soil.

How many ounces of fertilizer should the landscaper apply?

Answer:

15 ounces

4 0
3 years ago
A map has a scale of 2.5 inches=125 miles. If the actual distance is 300 miles what is the distance on the map
e-lub [12.9K]
Answer 5.5

Explanation 125 + 125= 250
250 + 50=300

Is 2 125s and 1 50

Each 125 is 2.5

But in this case there is 2 125s

2.5+2.5=5
plus the other half = 5.5

BRAINLIST?
4 0
3 years ago
you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct
Leto [7]

Step-by-step explanation:

1. move the decimal to make the numbers whole

0.25 - move to the right 2 times - 25

0.044 - move to the right 3 times - 44

2. Multiply 25 * 44 = 1,100

3. Add decimal

you moved the decimal 6 times in total for both numbers...so move the decimal 6 times starting from right.

<u>Answer - 0.01100 or 0.011</u>

7 0
3 years ago
Our faucet is broken, and a plumber has been called. The arrival time of the plumber is uniformly distributed between 1pm and 7p
Ymorist [56]

Answer:

E(A+B) = E(A)+E(B)=4+0.5 =4.5 hours

Var(A+B)= Var(A)+Var(B)=3+0.25 hours^2=3.25 hours^2

Step-by-step explanation:

Let A the random variable that represent "The arrival time of the plumber ". And we know that the distribution of A is given by:

A\sim Uniform(1 ,7)

And let B the random variable that represent "The time required to fix the broken faucet". And we know the distribution of B, given by:

B\sim Exp(\lambda=\frac{1}{30 min})

Supposing that the two times are independent, find the expected value and the variance of the time at which the plumber completes the project.

So we are interested on the expected value of A+B, like this

E(A +B)

Since the two random variables are assumed independent, then we have this

E(A+B) = E(A)+E(B)

So we can find the individual expected values for each distribution and then we can add it.

For ths uniform distribution the expected value is given by E(X) =\frac{a+b}{2} where X is the random variable, and a,b represent the limits for the distribution. If we apply this for our case we got:

E(A)=\frac{1+7}{2}=4 hours

The expected value for the exponential distirbution is given by :

E(X)= \int_{0}^\infty x \lambda e^{-\lambda x} dx

If we use the substitution y=\lambda x we have this:

E(X)=\frac{1}{\lambda} \int_{0}^\infty y e^{-\lambda y} dy =\frac{1}{\lambda}

Where X represent the random variable and \lambda the parameter. If we apply this formula to our case we got:

E(B) =\frac{1}{\lambda}=\frac{1}{\frac{1}{30}}=30min

We can convert this into hours and we got E(B) =0.5 hours, and then we can find:

E(A+B) = E(A)+E(B)=4+0.5 =4.5 hours

And in order to find the variance for the random variable A+B we can find the individual variances:

Var(A)= \frac{(b-a)^2}{12}=\frac{(7-1)^2}{12}=3 hours^2

Var(B) =\frac{1}{\lambda^2}=\frac{1}{(\frac{1}{30})^2}=900 min^2 x\frac{1hr^2}{3600 min^2}=0.25 hours^2

We have the following property:

Var(X+Y)= Var(X)+Var(Y) +2 Cov(X,Y)

Since we have independnet variable the Cov(A,B)=0, so then:

Var(A+B)= Var(A)+Var(B)=3+0.25 hours^2=3.25 hours^2

3 0
3 years ago
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