Answer:
a) 0.857
b) 0.571
c) 1
Step-by-step explanation:
Based on the data given, we have
18 juniors
10 seniors
6 female seniors
10-6 = 4 male seniors
12 junior males
18-12 = 6 junior female
6+6 = 12 female
4+12 = 16 male
A total of 28 students
The probability of each union of events is obtained by summing the probabilities of the separated events and substracting the intersection. I will abbreviate female by F, junior by J, male by M, senior by S. We have
P(J U F) = P(J) + P(F) - P(JF) = 18/28+12/28-6/28 = 24/28 = 0.857
P(S U F) = P(S) + P(F) - P(SF) = 10/28 + 12/28 - 6/28 = 16/28 = 0.571
P(J U S) = P(J) + P(S) - P(JS) = 18/28 + 10/28 - 0 = 1
Note that a student cant be Junior and Senior at the same time, so the probability of the combined event is 0. The probability of the union is 1 because every student is either Junior or Senior.
x=0 .
−2(8+8x)+7x=−7x+2(x−8)
Step 1: Simplify both sides of the equation.
−2(8+8x)+7x=−7x+2(x−8)
(−2)(8)+(−2)(8x)+7x=−7x+(2)(x)+(2)(−8)(Distribute)
−16+−16x+7x=−7x+2x+−16
(−16x+7x)+(−16)=(−7x+2x)+(−16)(Combine Like Terms)
−9x+−16=−5x+−16
−9x−16=−5x−16
Step 2: Add 5x to both sides.
−9x−16+5x=−5x−16+5x
−4x−16=−16
Step 3: Add 16 to both sides.
−4x−16+16=−16+16
−4x=0
Step 4: Divide both sides by -4.
−4x
/−4
=
0
/−4
x=0
Step-by-step explanation:
just add all the given angles and equate it with 540° and then find x
x/2 + x/2 + x - 25 + 100 + x - 15 = 540°
3x + 60 = 540°
3x = 540 - 60
x = 480/3
x = 160°
on checking, the given shape values of x-25 and x - 15 are both still obtuse angles thus the answer is correct.
Answer:
$81.6
Step-by-step explanation:
You multiply 0.2 by 68, in which you will get 13.6, and then you add that to 68.
$10 I’m guessing I don’t really know
