Answer:
x=17
Step-by-step explanation:
Since these angles are supplementary, they will add up to 180 degrees, so you can set up the equation like this:
4x+8+104=180
First, combine like terms:
4x+(8+104)=180
4x+112=180
Next, subtract 112 from both sides:
4x+112(-112)=180(-112)
4x=68
Then, divide each side by 4:
4x(/4)=68(/4)
x=17
17 is your answer.
Answer:
b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The mean of the uniform probability distribution is:
![M = \frac{a + b}{2}](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7Ba%20%2B%20b%7D%7B2%7D)
The standard deviation of the uniform distribution is:
![S = \sqrt{\frac{(b-a)^{2}}{12}}](https://tex.z-dn.net/?f=S%20%3D%20%5Csqrt%7B%5Cfrac%7B%28b-a%29%5E%7B2%7D%7D%7B12%7D%7D)
The probability that we find a value X lower than x is given by the following formula.
![P(X \leq x) = \frac{x - a}{b-a}](https://tex.z-dn.net/?f=P%28X%20%5Cleq%20x%29%20%3D%20%5Cfrac%7Bx%20-%20a%7D%7Bb-a%7D)
Uniform distribution between 2.93 and 3.1 volts
This means that
. So
Mean:
![M = \frac{2.93 + 3.1}{2} = 3.015](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B2.93%20%2B%203.1%7D%7B2%7D%20%3D%203.015)
Standard deviation:
![S = \sqrt{\frac{(3.1 - 2.93)^{2}}{12}} = 0.049](https://tex.z-dn.net/?f=S%20%3D%20%5Csqrt%7B%5Cfrac%7B%283.1%20-%202.93%29%5E%7B2%7D%7D%7B12%7D%7D%20%3D%200.049)
What is the probability that a battery has a voltage less than 2.98?
![P(X \leq 2.98) = \frac{2.98 - 2.93}{3.1 - 2.93} = 0.2941](https://tex.z-dn.net/?f=P%28X%20%5Cleq%202.98%29%20%3D%20%5Cfrac%7B2.98%20-%202.93%7D%7B3.1%20-%202.93%7D%20%3D%200.2941)
So the correct answer is:
b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941
Answer:
<em>123 </em>cookies
Step-by-step explanation:
He got 9*13 cookies, and had 6 already, so 9*13 + 6
9*13 = 117, plus 6 is 123
Answer:
<u><em>the answer is 225cm3</em></u>