Answer:
Step-by-step explanation:
Supplementary angles sum to 180 degrees.
x+118=180
x=62 degrees
Represent and then add up these consecutive, positive, even integers:
x + (x+2) + (x+4) + (x+6) = 116
Then 4x + 12 = 116, or 4x = 104. Then x=26.
First integer is 26; second is 28; third is 30; fourth is 32.
Add these up. If the sum = 116, you'll know these answers are correct.
#16
1092...if 4 out of 7 named blue then
1092 * 4/7 = 624 (named blue)
1092...if 1 out of 3 named red then
1092 * 1/3 = 364 (named red)
364 + 624 = 988 (both named red and blue)
1092 - 988 = 104( neither named red nor blue)
answer is 104 people
#17
49 * 15 / 21 = 35
answer is 35
So say you are adding 1/2 and 1 1/2
you would turn the mixed number into a improper fraction by multiplying the denominator by the whole number, then add it to the numerator
for this example it would be 2 x 1 = 2 + 1 = 3 then put it over the denominator
we would get 3/2 then we add 1/2 to it getting 4/2,
then depending on the question we would either leave it as an improper fraction like 4/2 or we would turn it to a mixed fraction, 2 but it will not always be a whole number like this.
like for example if this problem was 1/4 + 1 2/4 we could get 1 3/4
I hope that this helped you somehow because I tried to explain this to the best of my ability.
We have been given that the test scores on a final exam are normally distributed with a mean of 74 and a standard deviation of 3. We are asked to find the probability that a randomly selected test has a score higher than 77.
First of all, we will find z-score corresponding to sample score 77.
, where,
z = z-score,
x = Random sample score,
= Mean,
= Standard deviation.
![z=\frac{77-74}{3}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B77-74%7D%7B3%7D)
![z=\frac{3}{3}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B3%7D%7B3%7D)
![z=1](https://tex.z-dn.net/?f=z%3D1)
Now we need to find
.
We will use formula
to find the probability greater than a z-score of 1.
![P(z>1)=1-P(z](https://tex.z-dn.net/?f=P%28z%3E1%29%3D1-P%28z%3C1%29)
Using normal distribution table, we will get:
![P(z>1)=1-0.84134](https://tex.z-dn.net/?f=P%28z%3E1%29%3D1-0.84134)
![P(z>1)=0.15866](https://tex.z-dn.net/?f=P%28z%3E1%29%3D0.15866)
Therefore, the probability that a randomly selected test has a score higher than 77 would be 0.15866.