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riadik2000 [5.3K]
3 years ago
15

Select the correct answer from each drop-down menu. f(x) = x2 − 8x + 15 g(x) = x − 3 h(x) = f(x) ÷g(x)

Mathematics
2 answers:
Serggg [28]3 years ago
8 0

The answer is x - 5

To solve (x^2 - 8x + 15) /(x - 3) you factor the numerator and denominator and cancel the common factors.

antoniya [11.8K]3 years ago
4 0

h(x) = x-5 . The domain of h(x) is (- infinity,3)  U (3, infinity).

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If I chose a number uniformly from the integers from 1 to 25, calculate the conditional probability that the number is a multipl
topjm [15]

Answer:

<h2>1/7</h2>

Step-by-step explanation:

If I choose a number from the integers 1 to 25, the total number of integers I can pick is the total outcome which is 25. n(U) = 25

Let the probability that the number chosen at random is a multiple of  6 be P(A) and the probability that the number chosen at random is is larger than 18 be P(B)

P(A) = P(multiple of 6)

P(B) = P(number larger than 18)

A = {6, 12, 18, 24}

B = {19, 20, 21, 22, 23, 24, 25}

The conditional probability that the number is a multiple of 6 (including 6) given that it is larger than 18 is expressed as P(A|B).

P(A|B) = P(A∩B)/P(B)

Since probability = expected outcome/total outcome

A∩B = {24}

n(A∩B) = 1

P(A∩B) = n(A∩B)/n(U)

P(A∩B) = 1/25

Given B = {19, 20, 21, 22, 23, 24, 25}.

n(B) = 7

p(B) = n(B)/n(U)

p(B) = 7/25

Since P(A|B) = P(A∩B)/P(B)

P(A|B) = (1/25)/(7/24)

P(A|B) = 1/25*25/7

P(A|B) = 1/7

<em></em>

<em>Hence the conditional probability that the number is a multiple of 6 (including 6) given that it is larger than 18 is 1/7</em>

7 0
3 years ago
5(y + 3) = 5y + ____
Sergeeva-Olga [200]

Answer:

15

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Please help as I'm confused / very tired so I can't think right now...
Masteriza [31]
Median is the middle number so it would be 250

8 0
3 years ago
Read 2 more answers
For the given central angle, determine the distance traveled along the unit circle from the point (1, 0). 360 degrees a. 6.28 un
Alekssandra [29.7K]

Answer:

The length of a 180° arc of a unit circle is π ≈ 3.14 units.

Step-by-step explanation:

Use your knowledge of the circumference of a circle (the length full around) and the fact that there are 360° in the central angle of a full circle. The distance around is proportional to the angle, so an arc of measure 180° will have a length equal to

... (180°/360°) × circumference = (1/2)×circumference

For a unit circle, the circumference is 2π (= π×diameter = 2π×radius). Half that length is π units.

4 0
2 years ago
Rewrite each subtraction problem as a addition problem x-156=279​
Sauron [17]

Answer:

the answer is 123 123+156=279.

4 0
3 years ago
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