Simplify the fraction

Mathematics

1 answer:

oksano4ka [1.4K]1 year ago

8 0

Answer:

3/10

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Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the proba

Fittoniya [83]

Question:

A = {2, 3, 4, 5}

B = {4, 5, 6, 7, 8}

Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability that the sum of the two integers will equal 9?

A. 0.15

B. 0.20

C. 0.25

D. 0.30

E. 0.33

Answer:

Option B: 0.20 is the probability of the sum of the two integers.

Explanation:

The sample space for selecting 2 numbers is given by

$4\times 5 = 20$

We need to determine the probability that the sum of two integers will be equal to 9.

Hence, we need to add the two integers from the sets A and B such that their sum will be equal to 9.

Hence, the sets are $(2,7),(3,6),(4,5),(5,4)$

Thus, the total number of sets whose sum is equal to 9 = 4

The probability that the sum of the two integers will equal 9 is given by

$P=\frac{4}{20}$

$P=\frac{1}{5}$

$P=0.20$

Thus, the probability that the sum of the two integers will equal 9 is 0.20

Hence, Option B is the correct answer.

4 0

3 years ago

HELP ME PLS GRADES ARE DUE TODAY

damaskus [11]

9514 1404 393

Answer:

see attached

Step-by-step explanation:

Most of this exercise is looking at different ways to identify the slope of the line. The first attachment shows the corresponding "run" (horizontal change) and "rise" (vertical change) between the marked points.

In your diagram, these values (run=1, rise=-3) are filled in 3 places. At the top, the changes are described in words. On the left, they are described as "rise" and "run" with numbers. At the bottom left, these same numbers are described by ∆y and ∆x.

The calculation at the right shows the differences between y (numerator) and x (denominator) coordinates. This is how you compute the slope from the coordinates of two points.

If you draw a line through the two points, you find it intersects the y-axis at y=4. This is the y-intercept that gets filled in at the bottom. (The y-intercept here is 1 left and 3 up from the point (1, 1).)