Will mark as brainliest (must show work)
1 answer:
Answer:
46
Step-by-step explanation:
With those problems if you are not given a picture is good we draw one.
Because an angle bisector forms 2 congruent angles and because is given that < XVY ≅ < YVW then
m < XVY = m < YVW
2x+7 = x+15 , subtract x and 7 from both sides to isolate the like terms
2x-x = 15-7, combine like terms
x = 8
From the picture and the given we see that
m < XVW = m < XVY + m < YVW
m < XVW = 2x+7 + x+15 , combine like terms
m < XVW = 3x + 22, substitute x for 8
m < XVW = 3*8 + 22
m < XVW = 46
Check our work:
m < XVY = 2x+7 = 2*8 +7 = 16 +7 = 23
m < YVW = x+15 = 8 +15 = 23
m < XVW = m < XVY + m < YVW = 23+23 =46
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<u>Answer:</u>
<u>For a:</u> The probability of getting a red or blue ball is 0.48
<u>For b:</u> The probability of getting a white, blue or orange ball is 0.81
<u>For c:</u> The probability of getting neither white or orange ball is 0.48
<u>Step-by-step explanation:</u>
Probability is defined as the extent to which an event is likely to occurs. It is measured by the ratio of the favorable outcomes to the total number of possible outcomes.
.......(1)
We are given:
Number of red balls in a box = 12
Number of white balls in a box = 18
Number of blue balls in a box = 19
Number of orange balls in a box = 15
Total balls in a box = [12 + 18 + 19 + 15] = 64
- <u>For a:</u>
Number of favorable outcomes (ball must be red or blue) = [12 + 19] = 31
Total number of outcomes = 64
Putting values in equation 1, we get:
- <u>For b:</u>
Number of favorable outcomes (ball must be white or blue or orange) = [18 + 19 + 15] = 52
Total number of outcomes = 64
Putting values in equation 1, we get:
- <u>For c:</u>
Number of favorable outcomes (ball must be white or orange) = [18 + 15] = 33
Total number of outcomes = 64
Putting values in equation 1, we get:
Probability of getting a ball which is neither white or orange = [1 - (Probability of getting a white or orange ball)] = [1 - 0.52] = 0.48