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goldenfox [79]
3 years ago
10

Which expression has a value of 74 when x=10, y=8, z=12

Mathematics
1 answer:
stiv31 [10]3 years ago
8 0
B)10+5(8)+2(12)=74
10+40+24=74
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It's a 4th degree polynomial since the largest degree (exponent) is 4
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if im thinking correctly the answer will be y=34x+5

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
How do you solve for X in a fraction
Andrews [41]

By cross-multiplying, we get

15x + 30 = 24

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7 0
3 years ago
Click on the photo to get a better view, I really don’t understand it
zaharov [31]

Answer:

1)107

2)43

Step-by-step explanation:

Triangles interior angles add up to 180 degrees. In the first one, the first two angles are 31and 42, and if interior angles add up to 180, the equation should be 31+42+x=180 x=107.

Second one is hardes. A square means a right angle, or 90 degrees. 180-90 is 90. Next, we have the two angles x, and x+4 We know that triangles interior angles add up to 180 degrees, so x+x+4+90=180 2x+94=180 2x=86 x=43

Hope this helps :D Please mark brainliest if correct :D

3 0
2 years ago
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