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JulijaS [17]
3 years ago
6

At an university 70% of the students who attend stay on campus. If 1,380 of the students who attend live off campus, what is the

total number of students who attend the university?
Mathematics
1 answer:
NemiM [27]3 years ago
4 0

Answer:

4600

Step-by-step explanation:

We can write a proportion to find the total amount who attend university using the information given. A proportion is two equivalent ratios set equal to each other. Since 70% live on campus, then 30% live off campus and we are told that number is 1,380.

\frac{30}{100}=\frac{1380}{y}

We will cross multiply the numerator of one ratio with denominator of the other. And then solve for y.

30y=100(1380)

30y=138000

y=4600.

There are 4600 students who attend the university.


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AC=1<br> Round your answer to the nearest hundredth.<br> B<br> 6<br> 70<br> А<br> ?<br> С
insens350 [35]

Answer: 2.18

Step-by-step explanation:

Angle B= 180- (Angle A + Angle C)

= 180- (70+90)

= 180-160=20

((sin A)/BC)=((sin B)/AC)

((sin 70)/6)=((sin 20)/AC)

(0.9/6)=(0.3/AC)

AC= (6*0.3)/0.9

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5 0
3 years ago
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andrew-mc [135]

Answer:

∠B = 41°

Step-by-step explanation:

∠BCD is an exterior angle of the triangle

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

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3 0
3 years ago
Read 2 more answers
The length of time for one individual to be served at a cafeteria is a random variable having an exponential distribution with a
irga5000 [103]

Answer:

P(Y \geq 5)= 0.0729+0.0158+0.00146=0.0902

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, p)

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!}

Solution to the problem

Let Y the random variable that represent the lenght of time for one individual to be served at the cafeteria. We know from the probalem that Y\sim exp(\mu=4)

On this case the probability density function would be given by:

f(y) =\frac{1}{4} e^{-\frac{y}{4}}, y\geq 0

And 0 for other case. In order to solve this problem we need to fidn first the probability that a person would be served in less than 2 minutes. And in order to find it we need to find the cumulative distribution function integrating the density function like this:

P(Y \leq 2) = \int_{0}^3 f(y) dy

=\int_{0}^3 \frac{1}{4}e^{-\frac{y}{4}} dy

=-e^{-\frac{y}{4}} \Big|_0^2 \ =1-e^{-\frac{2}{4}}=1-e^{-\frac{1}{2}}=0.3935

And with this probability we can find the probability that a person would be served in less than 2 minutes on at least 5 of the next 7 days.

And on this case we can use the binomial distribution, and we want this probability:

P(Y \geq 5)= P(Y=5) +P(Y=6) +P(Y=7)

We can find the individual probabilities like this:

P(Y=5)=(7C5)(0.3935)^5 (1-0.3935)^{7-5}=0.0729

P(Y=6)=(7C6)(0.3935)^6 (1-0.3935)^{7-6}=0.0158

P(Y=7)=(7C7)(0.3935)^7 (1-0.3935)^{7-7}=0.00146

P(Y \geq 5)= 0.0729+0.0158+0.00146=0.0902

7 0
4 years ago
Seth bought a 12 - ounce jar of peanut butter for $3.60. What is the unit price?
allochka39001 [22]

Since the jar is 12 ounces, we want to find the price when it is one ounce. We do this by dividing the price, $3.60, by 12:

3.60/12 = 0.3

So, the answer is $0.30/oz, or (B).

4 0
4 years ago
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