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Elina [12.6K]
3 years ago
9

The equation of the parabola whose focus is at (0, 5) and directrix at y = -5 is:

Mathematics
1 answer:
masya89 [10]3 years ago
7 0
The answer is y=(1/20)x^2
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The difference between the product of 4 and a number 6
Mice21 [21]

Answer:

If we call our unknown value x, then we can say that

The "product of 4 and a number" is 4x

The "difference between" 4x and 6 is 4x - 6

Step-by-step explanation:

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3 years ago
14 field goal attempts 12 goals made to what is the success rate
Illusion [34]

Answer:

86%

Step-by-step explanation:

Divide the number of goals made (12) by the number of attempts (14).

12/14 = .857. Round to the nearest hundredth and convert the decimal to a percent.

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3 years ago
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
What is the median from the following set of data:1,2,3,3,3,8,8,11,15?
raketka [301]

Answer:

3

Step-by-step explanation:

The median is the # in the middle, and since 3 is used 3 times, it´s the most used # and is in the middle

4 0
2 years ago
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What is the slope of the line that contains the points (-1,2) and (3,3)?
Semmy [17]

Answer:

1/4

Step-by-step explanation:

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m = (y2-y1)/(x2-x1)

m = (3-2)/ (3--1)

   = (3-2)/(3+1)

  =1/4

4 0
3 years ago
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