To solve for the last side of the triangle, use the Pythagorean Theorem:
(8)^2 + x^2 = (9)^2
x = sqrt of 17
However, this is a NEGATIVE sqrt 17 because the terminal side is in quadrant 4, meaning that this side is under the X-axis and therefore negative.
Now that you know the side opposite of u in the triangle, do opposite/hypotenuse.
sin u = -(sqrt 17)/9
Answer:
p-value: 1.000
There is enough evidence at the 1% level of significance to suggest that the proportions are not equal.
Step-by-step explanation:
We will be conducting a difference of 2 proportions hypothesis test
The hypothesis for this test is:
H0: p1 - p2=0
Ha: p1 - p2 ≠0
(p1 ) = 252/300 = 0.84
(p2) = 195/300 = 0.65
This is a 2 tailed test with a significance level of 1%. So our critical values are: z > 2.575 and z < -2.575
See the attached photo for the calculations for this test
Answer:
30 people ordered apple pie
Step-by-step explanation:
one third of the total people:
180/3 = 60
subtract the people who ordered ice cream, so that we have the total people who ordered pie:
180-60= 120
divide the total people by 4 to find the people who ordered apple pie
120/4 = 30
30 people ordered apple pie
s/18=64/288 multiply both sides by 18
s=1152/288
s=4 ft
So Sarah is four feet tall.