The total length of the rope = 32 ft
It is cut into two sections, say x and y
But one section is seven times the other, say y=7x (shorter section being x)
Solving for x
x+y =32
x+7x = 32
8x=32
x=32/8 = 4 ft.
Therefore, the shorter piece is 4 ft long.
Answer:
86° Fahrenheit
Step-by-step explanation:
F=1.8C + 32
C=30°
Plugging into the formula:
The Fahrenheit for 30° Celsius using the given formula is 86° Fahrenheit.
For this case we have the following polynomials:
By subtracting both polynomials we have:
What we must do is subtract terms of the same degree.
We have then:
Answer:
will be a polynomial
Answer:
5.5
Step-by-step explanation:
1, 2, 5, 5, 6, 8, 9, 9
5+6=11
11 divided by 2= 5.5
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.
