To figure this out, we use the Pythagorean theorem;
![a^{2} + b^{2} = c^{2}](https://tex.z-dn.net/?f=%20a%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%3D%20c%5E%7B2%7D%20)
x=8in and z=√100in
8²+y²=(√100)²
64+y²=100
y²=100-64
y²=36
√(y²)=√36
y=6
The answer is C: 6 in
Answer:
22.3 ft
Step-by-step explanation:
we know the base is 36 ft and we want to know the height. We know the angle of elevation
AC is you picture is 36 and we are looking for BC
We know angle A is 25
We will use tangent
tan A = opposite side/ adjacent side
tan A = BC/AC
tan 25 = BC/36
Multiply each side by 36
36 tan 25 = BC
16.78707569 = BC
But we know that he is 5.5 ft tall so the flagpole is 5.5 ft taller than BC
The triangle is from his eyes to the pole
Add 5.5 to BC to find
the height of the flagpole is BC +5.5
16.787 +5.5
22.28707569
To the nearest tenth
The flagpole is 22.3 ft
Answer:
The 99% confidence interval for the true population proportion of adults with children is (0.6367, 0.7433).
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 z-score that has a p-value of
.
In a sample of 500 adults, 345 had children.
This means that ![n = 500, \pi = \frac{345}{500} = 0.69](https://tex.z-dn.net/?f=n%20%3D%20500%2C%20%5Cpi%20%3D%20%5Cfrac%7B345%7D%7B500%7D%20%3D%200.69)
99% confidence level
So
, z is the value of Z that has a p-value of
, so
.
The lower limit of this interval is:
![\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.69 - 2.575\sqrt{\frac{0.69*0.31}{500}} = 0.6367](https://tex.z-dn.net/?f=%5Cpi%20-%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.69%20-%202.575%5Csqrt%7B%5Cfrac%7B0.69%2A0.31%7D%7B500%7D%7D%20%3D%200.6367)
The upper limit of this interval is:
![\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.69 + 2.575\sqrt{\frac{0.69*0.31}{500}} = 0.7433](https://tex.z-dn.net/?f=%5Cpi%20%2B%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.69%20%2B%202.575%5Csqrt%7B%5Cfrac%7B0.69%2A0.31%7D%7B500%7D%7D%20%3D%200.7433)
The 99% confidence interval for the true population proportion of adults with children is (0.6367, 0.7433).
Answer:
You will get 210 pounds
Step-by-step explanation:
Step 1: Determine the exchange rate
Exchange rate=Value of US dollars/value of British pounds
where;
Value of US dollars=800
Value of British pound=560 pounds
replacing;
Exchange rate=800/560=1.43
This can be translated as;
1 British pound=1.43 US dollars
Step 2: Determine the value in pounds of 300 dollars
Value of British pounds=Value of US dollars/Exchange rate
where;
Value of US dollars=300
Exchange rate=1.43
replacing;
Value of British pounds=300/1.43
Value of British pounds=210
You will get 210 pounds
Answer:
y = 2x + 2
Step-by-step explanation:
just trust me i took test and it had this question on it lol