The z-score for 36,000 is (36,000 - 40,000) / (15,000 / √25) = -1.333
The z-score for 42,000 is (42,000 - 40,000) / (15,000 / √25) = 0.6667
P(36,000 < x < 42,000) = P(-1.3333 < z < 0.6667)
P(z < 0.6667) - P(z < -1.3333)
0.7475 - 0.0913
0.6562
Answer:
The measure of the two angles are 27° and 153° respectively
Step-by-step explanation:
Given parameters
Let the first angle be represented by x°
And the second angle which is supplementary to the first be represented by y°
From the question, we have that y measures 126° less than x.
So, y = x - 126°
Two angles are said to be supplementary if the both add up to 180.
In this case, it means that x and y are supplementary if and only if x and y add up to 180.
x + y = 180
Substitute x - 126 for y
x + x - 126 = 180
2x - 126 = 180 --- collect like terms
2x = 180 + 126
2x = 306 ----- multiply both sides by ½
2x * ½ = 306 * ½
x = 153°
Recall that y = x - 126°
Substituton 153 for x
y = 153 - 126
y = 27°
Hence, the measure of the two angles are 27° and 153° respectively
Ednesday (9 weeks later) = 10th October.
ep-by-step explanation:
e label the days with the initials of the
imes.
M= 4
D=7
B=6
LCM of 6 +7 = 42
LCM of 6+7 + 4 = 84
We find 84 is the amount of days we need
to add on to july 18th
We first find the weeks 84/7 = 9 weeks.
As Wednesday July 18th is exclusive it
would be 84 days after this event.
18+84 = 102 days.
31 days in july = 31
31 days in Aug = 31
30 days in Sept = 30
= 92
102-92 = 10
We now know date is Wednesday 10th
October
We can check 84 days = 9 weeks