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liubo4ka [24]
2 years ago
14

A bus is a box a volume of 2520 cubic feet. If the bus is 35 feet long by 8 feet wide, what is the height of the bus

Mathematics
1 answer:
AysviL [449]2 years ago
3 0

Answer:

9 feet

Step-by-step explanation:

multiply 35x8 which equals 280 then divide 2520÷280=9

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anita grew a garden with 3/4 of the area for vegetables.in the vegetable section 1/6 of the area is carrots.what fraction of the
frosja888 [35]

9514 1404 393

Answer:

  1/8

Step-by-step explanation:

The fraction of the total is ...

  (1/6) of (3/4) = (1×3)/(6×4) = 3/24 = 1/8

1/8 of the total garden is carrots.

3 0
3 years ago
In a particular faculty 60% of students are men and 40% are women. In a random sample of 50 students what is the probability tha
zimovet [89]

Answer:

a) The expected value is given by:

E(X) = np = 50*0.4 = 20

and the variance is given by:

Var(X) =np(1-p) = 50*0.4*(1-0.4) = 12

b) P(X>25)= 1-P(X\leq 25)

And we can find this probability with the following Excel code:

=1-BINOM.DIST(25,50,0.4,TRUE)

And we got:

P(X>25)= 1-P(X\leq 25)=0.0573

c) 1) Random sample (assumed)

2) np= 50*0.4= 20 >10

n(1-p) =50*0.6= 30>10

3) Independence (assumed)

Since the 3 conditions are satisfied we can use the normal approximation:

X \sim N(\mu = 20 , \sigma= 3.464)

d) P(X>25) = 1-P(Z< \frac{25-20}{3.464}) = 1-P(z

e) P(X>25)= P(X>25.5) = 1-P(X \leq 25.5)

P(X>25)= P(X>25.5) = 1-P(X \leq 25.5)= 1-P(Z

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=50, p=0.4)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Part a

The expected value is given by:

E(X) = np = 50*0.4 = 20

and the variance is given by:

Var(X) =np(1-p) = 50*0.4*(1-0.4) = 12

Part b

For this case we want to find this probability:

P(X>25)= 1-P(X\leq 25)

And we can find this probability with the following Excel code:

=1-BINOM.DIST(25,50,0.4,TRUE)

And we got:

P(X>25)= 1-P(X\leq 25)=0.0573

Part c

1) Random sample (assumed)

2) np= 50*0.4= 20 >10

n(1-p) =50*0.6= 30>10

3) Independence (assumed)

Since the 3 conditions are satisfied we can use the normal approximation:

X \sim N(\mu = 20 , \sigma= 3.464)

Part d

We want this probability:

P(X>25) = 1-P(Z< \frac{25-20}{3.464}) = 1-P(z

Part e

For this case we use the continuity correction and we have this:

P(X>25)= P(X>25.5) = 1-P(X \leq 25.5)

P(X>25)= P(X>25.5) = 1-P(X \leq 25.5)= 1-P(Z

4 0
3 years ago
Jade needs 5 pounds of ground beef to make lasagna for a family reunion one package of ground beef weighs 2 1/2 pounds another p
Ivanshal [37]
Jays would have 1/10 of a pound left. This is the answer considering that 2 35 is 2 3/5 you find the common denominator then add the ywo then take away five.

7 0
3 years ago
Read 2 more answers
Which expression is equivalent to cos(3x) sin x?
Drupady [299]

The answer is A)1/2[sin(4x)+sin(2x)]

4 0
3 years ago
An advertisement for a circular rug says that the rug has a diameter of 6 feet. Find the relative error of this measurement
Aleonysh [2.5K]

Answer:

1. 8.3%

Step-by-step explanation:

Relative error = absolute error/expected measurement

The expected measurement is given as 6 ft.

Now, the absolute error is usually equal to half of a unit of the measure.

This means the absolute error in this case is ½ × 1 = 0.5 ft

Thus, the exact measurement will be;

6 ± 0.5

Thus;

Relative error = 0.5/6

Relative error = 0.083

Expressing it in percentage gives 8.3%

4 0
2 years ago
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