Answer:
2:7
Step-by-step explanation:
√x + 9 - 4 = 1
√x + 5 = 1
√x = -4
√x = √-4
x = 2i
14. The equation would be -16t^2+60t+7 To find the maximum point plug in values into the equation -b/2a to find the axis of symmetry, and plug that number in for t.
b=60, a=-16
-60/-32=t=1.875
-16(1.875)^2+60(1.875)+7=63.25
Maximum point: (1.875,63.25)
The ball will land after about 3.86 seconds
Answer:
DGF = 106
Step-by-step explanation:
Bisects means to divide in half, with two equal parts
DGF = DGE + EGF
DGE = EGF
DGF = DGE + DGE
DGF = 53+53
DGF = 106
Answer:
Probability that average height would be shorter than 63 inches = 0.30854 .
Step-by-step explanation:
We are given that the average height of 20-year-old American women is normally distributed with a mean of 64 inches and standard deviation of 4 inches.
Also, a random sample of 4 women from this population is taken and their average height is computed.
Let X bar = Average height
The z score probability distribution for average height is given by;
Z =
~ N(0,1)
where,
= population mean = 64 inches
= standard deviation = 4 inches
n = sample of women = 4
So, Probability that average height would be shorter than 63 inches is given by = P(X bar < 63 inches)
P(X bar < 63) = P(
<
) = P(Z < -0.5) = 1 - P(Z <= 0.5)
= 1 - 0.69146 = 0.30854
Hence, it is 30.85% likely that average height would be shorter than 63 inches.