Answer:
xy(y - x)(y + x)
Step-by-step explanation:
take out a common factor xy from both terms
= xy(y² - x²)
y² - x² is a difference of squares and factors in general as (y - x)(y + x)
Hence
xy³ - x³y = xy(x - y)(x + y)
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:
$114.32
Step-by-step explanation:
Original Price: $132.52
increased: $34.65
Loyalty Club: -$57.80
Phone Fee: $4.95
You add all of them together, except for the Loyalty Club Fee. You subtract that fee by the total.
Answer:
all work is shown and pictured
Answer:
x = 58°
Step-by-step explanation:
The sum of the angles in Δ AHI = 180 , then
∠ AIH = 180° - (66 + 56)° = 180° - 122° = 58°
x and ∠ AIH are corresponding and are congruent , then
x = 58°
