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Snezhnost [94]
3 years ago
12

What’s the correct answer for this?

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
5 0

Answer:

8

Step-by-step explanation:

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A college student is taking two courses. The probability she passes the first course is 0.73. The probability she passes the sec
zhenek [66]

Answer:

b) No, it's not independent.

c) 0.02

d) 0.59

e) 0.57

f) 0.5616

Step-by-step explanation:

To answer this problem, a Venn diagram should be useful. The diagram with the information of Event 1 and Event 2 is shown below (I already added the information for the intersection but we're going to see how to get that information in the b) part of the problem)

Let's call A the event that she passes the first course, then P(A)=.73

Let's call B the event that she passes the second course, then P(B)=.66

Then P(A∪B) is the probability that she passes the first or the second course (at least one of them) is the given probability. P(A∪B)=.98

b) Is the event she passes one course independent of the event that she passes the other course?

Two events are independent when P(A∩B) = P(A) * P(B)

So far, we don't know P(A∩B), but we do know that for all events, the next formula is true:

P(A∪B) = P(A) + P(B) - P(A∩B)

We are going to solve for P (A∩B)

.98 = .73 + .66 - P(A∩B)

P(A∩B) =.73 + .66 - .98

P(A∩B) = .41

Now we will see if the formula for independent events is true

P(A∩B) = P(A) x P(B)

.41 = .73 x .66

.41 ≠.4818

Therefore, these two events are not independent.

c) The probability she does not pass either course, is 1 - the probability that she passes either one of the courses (P(A∪B) = .98)

1 - P(A∪B) = 1 - .98 = .02

d) The probability she doesn't pass both courses is 1 - the probability that she passes both of the courses P(A∩B)

1 - P(A∩B) = 1 -.41 = .59

e) The probability she passes exactly one course would be the probability that she passes either course minus the probability that she passes both courses.

P(A∪B) - P(A∩B) = .98 - .41 = .57

f) Given that she passes the first course, the probability she passes the second would be a conditional probability P(B|A)

P(B|A) = P(A∩B) / P(A)

P(B|A) = .41 / .73 = .5616

4 0
3 years ago
On a map of the United States, the distance between New York City and Nashville, TN is 2.5 inches. In real life, the distance is
Natalka [10]

Answer: Rounded: 350 miles/inch

Exactly 352 miles per inch.

Step-by-step explanation: Divide the miles by the inches to find miles per inch.

880/2.5 = 352.

It would make sense to round that to say the scale is 350 miles per inch.

One inch represents 350 miles

3 0
2 years ago
Convert into a decimal degree measure. 165° 37' 44"
andrew11 [14]

Answer:

165.628° (The 8 has a line over it signalizing that it repeats forever, but I didn't know how to put it in.)

Step-by-step explanation:

Since 165 is whole number, it is a full degree. Since each minute is equal to 1/60 degrees, you need to multiply 37 by 1/60. Since each second is equal to 1/3600 degrees, multiply it 1/3600 by 44. Add them all together.

165 + 37 x 1/60 + 44 x 1/3600

simplify: 74533/450

Convert the fraction into a decimal by dividing the numerator by the denominator and you get 165.628° (with a repeating 8).

4 0
3 years ago
HELP ME IF RIGHT MARK BRAINLY
aalyn [17]

Answer:

A. m+7n+14

Step-by-step explanation:

Add parenthesis to help simplify.

(5m-4m)+(22-8)+7n

Simplify the expression.

m+7n+14

7 0
3 years ago
A 15oz tea at a certain restaurant has 135 calories. How many calories are there in a 22 oz iced tea ?
crimeas [40]

\bf \begin{array}{ccll} oz&calories\\ \cline{1-2} 15&135\\ 22&x \end{array}\implies \cfrac{15}{22}=\cfrac{135}{x}\implies 15x = 2970 \\\\\\ x = \cfrac{2970}{15}\implies x = 198

5 0
3 years ago
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