Answer:
-4
Step-by-step explanation:
you use the formula m= y2- y1/ x2-x1 sorry if i confused you
∠GBE = y (alternate angles)
∠DBG + ∠GBE = 180 (Adjacent angles on a straight line adds up to 180)
⇒ x + y = 180
∠DBG = ∠ABE (Vertially opposite angles)
⇒ x = 5y - 18
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Solve for x and y :
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x + y = 180 -------- (1)
x = 5y - 18 --------- (2)
Sub (2) into (1) :
5y - 18 + y = 180
6x = 198
x = 33 --------- Sub into (1)
x + y = 180
33 + y = 180
y = 147
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Answer: x = 33°, y = 147°
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Answer:
Choice B. sin(B)=cos(90-B)
Step-by-step explanation:
That cofunction identity is the one you looking for...choice B.
If you aren't convinced or don't know that identity, then maybe this will help:
90-B is actually the same thing as saying A for this right triangle since A+B=90.
So choice B basically says sin(B)=cos(A)
Well let's find both sin(B) and cos(A)
sin(B)=b/c
cos(A)=b/c
Those are the same ratios!
So they are equal!
Answer:
Step-by-step explanation:
three days?
Answer:
The 95% margin of error for this estimate is 0.0274 = 2.74 percentage points.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
![\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=%5Cpi%20%5Cpm%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
In which
z is the zscore that has a pvalue of
.
The margin of error is:
![M = z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
72% of Americans said that they had at least one credit card
This means that ![p = 0.72](https://tex.z-dn.net/?f=p%20%3D%200.72)
Give the 95% margin of error for this estimate.
![M = z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
![M = 1.96\sqrt{\frac{0.72*0.28)}{1030}} = 0.0274](https://tex.z-dn.net/?f=M%20%3D%201.96%5Csqrt%7B%5Cfrac%7B0.72%2A0.28%29%7D%7B1030%7D%7D%20%3D%200.0274)
The 95% margin of error for this estimate is 0.0274 = 2.74 percentage points.