Answer:
height = 184.7 feet
Step-by-step explanation:
sin 38 = height/300
0.6157 = height/300
height = 184.7 feet
Answer:
-32
Step-by-step explanation:
Answer:
y = -5/4x - 4
Step-by-step explanation:
The equation they give you is in slope intercept form. y=mx+b. The m is the slope (-5/4). Since they want a parallel line you keep the same slope for point slope form. Point slope formula is y-y1=m(x-x1). the y1 and x1 are where you plug in the coordinates they give you.
y - 1 = -5/4x (x + 4)
y - 1 = -5/4x - 5
y = -5/4x - 4
Answer
54 degrees
Step-by-step explanation:
Using angle sum property(angles in a triangle add up to 180),
y+y+72=180
2y+72=180
2y=180-72
2y=108
y=108/2
y=54 degrees
pls mark brainliest
hope it helped
Answer:
(0.6430, 0.8170)
Step-by-step explanation:
Given that during a recent drought a water utility in a certain town sampled 100 residential water bills and found out that 73 of the residences had reduced their water consumption over that of the previous year.
Sample size n = 100
Sample proportion p = ![\frac{73}{100} =0.73](https://tex.z-dn.net/?f=%5Cfrac%7B73%7D%7B100%7D%20%3D0.73)
q = 1-p = 0.23
Std error of proportion = ![\sqrt{\frac{pq}{n} } \\=\sqrt{\frac{0.73*0.27}{100} } \\=0.04440](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7Bpq%7D%7Bn%7D%20%7D%20%5C%5C%3D%5Csqrt%7B%5Cfrac%7B0.73%2A0.27%7D%7B100%7D%20%7D%20%5C%5C%3D0.04440)
95% Z critical value = 1.96
Margin of error = ![1.96*0.0444 = 0.0870](https://tex.z-dn.net/?f=1.96%2A0.0444%20%3D%200.0870)
Confidence interval = sample proportion ±margin of error
0.642983946
0.817016054
(0.6430, 0.8170)