<u><em>Answer:</em></u>
∠BOY = 38°
<u><em>Explanation:</em></u>
<u>From the diagram, we can note that:</u>
m∠TOY = m∠TOB + m∠BOY ...................> equation I
We are given that ray OB bisects the angle
<u>Therefore:</u>
m∠TOB = m∠BOY
<u>Substitute in equation I:</u>
m∠TOY = m∠TOB + m∠TOB = 2m∠TOB ............> equation II
<u>We are given that:</u>
m∠TOY = 8x-36
m∠TOB = x+24
<u>Substitute with the givens in equation II and solve for x:</u>
m∠TOY = 2m∠TOB
8x - 36 = 2(x + 24)
2(4x-18) = 2(x+24)
4x - 18 = x + 24
3x = 42
x = 14
<u>This means that:</u>
m∠TOB = x + 24 = 14 + 24 = 38°
<u>Since </u>
m∠TOB = m∠BOY
<u>Therefore:</u>
m∠BOY = 38°
<u>Check:</u>
m∠TOY = 8x - 36 = 8(14) - 36 = 76° which is twice m∠TOB
Hope this helps :)
Answer: The employee's expected earnings is 78.5.
Step-by-step explanation:
Since we have given that
$ Probability
0 0.07
25 0.12
50 0.17
75 0.14
100 0.28
125 0.18
150 0.04
We need to find the employee's expected earnings.
As we know the formula for "Expectation":
Hence, the employee's expected earnings is 78.5.
Answer:
x=16 and y=9
Step-by-step explanation:
2y+30=3y+21[Diagonals of parallelogram are equal]
30-21=3y-2y
y=9
3y=2x-5[Diagonals of parallelogram are equal]
3×9=2x-5
27=2x-5
2x=27+5
x=32/2=16
your answer would be 2x - y + 3 = 0
There are only two possible outcomes in the table that satisfy <em>x</em> ≤ -3; either <em>x</em> = -5 or <em>x</em> = -3. Then
P(<em>x</em> ≤ -3) = P(<em>x</em> = -5) + P(<em>x</em> = -3) = 0.17 + 0.13 = 0.3
