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OverLord2011 [107]
2 years ago
8

A recent survey asked UF students if they had a job or not, and if they were underclassmen (Freshmen and Sophomores) or uppercla

ssmen (Juniors and Seniors). The answers appear on the table below.
JOB NoJob
Underclassmen 40 37 77
Upperclassmen 42 39 81
82 76 158

Let A be the event that a student has a job, and let B be the event that a student is an underclassmen. Find P(AUB).

Mathematics
1 answer:
vlada-n [284]2 years ago
3 0
Following the table and knowing that the total number of students interviewed were 158 ( we can see this by looking adding either the total number of upperclassment or adding the total number of people with jobs or no jobs, this value is at the bottom right of the table in the figure attached).
Recall that:
P(A\cup B)=P(A)+P(B)-P(A\cap B)
In the figure provided each of these terms is highlighted in a different color. To convert these values to their matching probabilities we have to divide each by the total number of students, this is due to the fact that the probability is the number of favorable cases (in this case a group matching the qualities we seek) divided by the total amount of cases ( that is the total number of people interviewed). In the figure the answer is provided. For the intersection of the two events we're looking for people that is both an undercalssman and also has a job.

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MArishka [77]

Answer:

h = 2.5

Step by step explanation:

We have been given an equation 9(u-2)+1.5u=8.25 that models the total miles Michael traveled one afternoon while sledding, where u equals the number of hours walking up a hill and (u – 2) equals the number of hours sledding down the hill.

To find value of u we will solve our equation.

Upon using distributive property we will get,    

9(u-2)+1.5u=8.25

9u-18+1.5u=8.25

Now let us add 18 to both sides of our equation.

9u-18+18+1.5u=8.25+18

9u+1.5u=8.25+18

Now let us combine like terms.

10.5u=26.25

Upon dividing both sides of our equation by 10.5 we will get,

u=\frac{26.25}{10.5}

u=2.5

Therefore, value of u is 2.5.

7 0
2 years ago
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marissa [1.9K]
1 1/6 hours is equal to 60 minutes add 10 minutes = 70 minutes
7/8 takes 70 minutes
To find out what can be done in 10 minutes, divide both numbers by 7
7/8 / 7 = 1/8
1/8 takes 10 minutes
To find out how much is painted in 1 minute, divide both by 10
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1/80 takes 1 minute
8 0
2 years ago
Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of
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The equation of the cone should be z=\sqrt{x^2+y^2}. Parameterize S by

\vec s(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec\jmath+u\,\vec k

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\vec s_v\times\vec s_u=u\cos v\,\vec\imath+u\sin v\,\vec\jmath-u\,\vec k

Then the integral of \vec F across S is

\displaystyle\iint_S\vec F\cdot\mathrm d\vec S=\int_0^{2\pi}\int_1^2(-u\cos v\,\vec\imath-u\sin v\,\vec\jmath+u^3\,\vec k)\cdot(u\cos v\,\vec\imath+u\sin v\,\vec\jmath-u\,\vec k)\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^{2\pi}\int_1^2(-u^2-u^4)\,\mathrm du\,\mathrm dv

=\displaystyle-2\pi\int_1^2(u^2+u^4)\,\mathrm du\,\mathrm dv=\boxed{-\frac{256\pi}{15}}

3 0
2 years ago
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The probability that a person in the United States has type B​+ blood is 12​%. Three unrelated people in the United States are s
V125BC [204]

Answer:

The probability that all three have type B​+ blood is 0.001728

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have type B+ blood, or they do not. The probability of a person having type B+ blood is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability that a person in the United States has type B​+ blood is 12​%.

This means that p = 0.12

Three unrelated people in the United States are selected at random.

This means that n = 3

Find the probability that all three have type B​+ blood.

This is P(X = 3).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{3,3}.(0.12)^{3}.(0.88)^{0} = 0.001728

The probability that all three have type B​+ blood is 0.001728

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2 years ago
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Stels [109]

Answer:

The possible value of X are;

15, 30, 45, 60 etc

Step-by-step explanation:

The parameters given are

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Number of chocolates Tanmay gave to Sharad = 1/5 × X

Whereby 3 and 5 are factors of X, therefore;

3 × 5 = 15 is the lowest single factor of X

The possible values of X starting from the lowest factor are given as follows;

15 × 1 = 15

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15 × 3 = 45

15 × 4 = 60

Hence, the possible value of X are the arithmetic progression a + (n - 1)×d

Where:

a = 15

n = 1, 2, 3, 4, ...

d = 15

Which includes;

15, 30, 45, 60

7 0
2 years ago
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