The photo didn't come out as nice as I would have wanted; to be clear, the remainder is 18x + 33.
Complete question :
Swim team Hanover High School has the best women’s swimming team in the region. The 400- meter freestyle relay team is undefeated this year. In the 400-meter freestyle relay, each swimmer swims 100 meters. The times, in seconds, for the four swimmers this season are approximately Normally distributed with means and standard deviations as shown. Assuming that the swimmer’s individual times are independent, find the probability that the total team time in the 400-meter freestyle relay is less than 220 seconds. Follow the four-step process
Answer:
0.225
Step-by-step explanation:
Given the data:
Swimmer__ Mean __Std. dev.
Wendy ___ 55.2 ____ 2.8
Jill _______ 58.0 ____ 3.0
Carmen____56.3 ____ 2.6
Latrice_____54.7_____2.7
Team average = (55.2 + 58 + 56.3 + 54.7) = 224.2
Team standard deviation = (2.8 + 3 + 2.6 + 2.7) = 11.1
Standard Error = 11.1 /sqrt(n)
Standard Error = 11.1 / sqrt(4)
Standard Error (S. E) = 11.1 / 2 = 5.55
P(x < 220) :
(x - mean) / S.E
(220 - 224.2) / 5.55
= −0.756756
P(Z < - 0.757) = 0.22452
P(Z < - 0.757) = 0.225
Answer:
I’m not 100% sure but I think 120°.
Step-by-step explanation:
This is because, angles on a straight line add up to 180°. Because there is 60 degrees on one side of line B, this means the other section is 120° (120°+60°=180°) The angle labelled (3x) is alternate to the angle of 120°. Alternate angles are always equal, meaning that 3x is equal to 120°.
I hope this is right.
Answer:
128/3
Step-by-step explanation:
1/6, 2/3, 8/3, . . .
1/6, 4/6, 16/6
We are multiplying by 4 each time
1/6 *4 = 4/6
4/6 * 4 = 16/6
This is a geometric sequence with the common ratio of 4
an = a1 (r)^(n-1)
an = 1/6 (4) ^(n-1)
Let n = 5
a5 = 1/6 (4)^(5-1)
a5 = 1/6 (4)^4
a5 = 1/6 * 256
a5 =128/3
9514 1404 393
Answer:
k = -1
Step-by-step explanation:
Put the given value of x in the equation, and solve the resulting equation for k.
2(5 -3) +k(1 +2·5) = k - 5 - 1
2(2) +k(11) = k -6 . . . . simplify a bit
10k = -10 . . . . . . . . . . add -4-k to both sides
k = -1 . . . . . . . . . . . . . divide by 10
The value of k is -1.
_____
<em>Check</em>
Use k = -1 in the original equation and solve for x.
2(x -3) -(1 +2x) = -1 -x -1
2x -6 -1 -2x = -x -2 . . . . eliminate parentheses
x = 7 -2 = 5 . . . . . . add x+7; answer checks OK