Answer:
Yes, we can assume that the percent of female athletes graduating from the University of Colorado is less than 67%.
Step-by-step explanation:
We need to find p-value first:
z statistic = (p⁻ - p0) / √[p0 x (1 - p0) / n]
p⁻ = X / n = 21 / 38 = 0.5526316
the alternate hypothesis states that p-value must be under the normal curve, i.e. the percent of female athletes graduating remains at 67%
H1: p < 0.67
z = (0.5526316 - 0.67) / √[0.67 x (1 - 0.67) / 38] = -0.1173684 / 0.076278575
z = -1.538681
using a p-value calculator for z = -1.538681, confidence level of 5%
p-value = .062024, not significant
Since p-value is not significant, we must reject the alternate hypothesis and retain the null hypothesis.
Answer:
45
Step-by-step explanation:
KL = 12 because the triangle is isosceles ( base angles are congruent)
KJ = JM = 12 because the triangle is equilateral ( all angles are equal 60°)
the perimeter is
P = 9 + 12 + 12 +12 = 9 +36 = 45
Given ,
Concentrate= 250 mL
Water = 1 liter = 1000 mL
A) ratio is 250:1000 = 1:4
B) for 250 mL it is 1 liter now for 2000mL it is X .
=> x = 2000/250 = 8 liters
C) volume of water in 6L of made up juice is 1500 mL
D) 1 liter - 5 glasses
For 80 glasses it would be 80/5 = 16 glasses
