Answer:
Step-by-step explanation:
I gather that you need to find the area of the sector and then subtract from it the area of the segment to get the area of the triangle (although there are other ways in which to find the area of the triangle).
The area of a sector is:
where our angle is given as 34, pi is 3.1415, and the radius is 5:
and if you multiply and divide that all out you get that the area of the sector is:
A = 7.417
Now subtract from it the area of the segment, 2.209. to get the area of the triangle:
7.417 - 2.209 = 5.208
Answer:
12
Step-by-step explanation:
Let the total number of donuts in the pack be x.
Amy = 2/3x
Anna = 1/4x
David = 1
x - 2/3x - 1/4x = 1
Find common denominators for 2/3 and 1/4
The common denominator is 12
2/3 * 4/4 = 8/12
1/4 * 3/3 = 3/12
x - 8/12x - 3/12x = 1
x - 11/12x = 1
1/12x = 1
x = 12
You can always check
Amy = 8
Anna = 3
So David must equal to 1
Hope this helps :)
Have an awesome day!
It would be smarter to buy it for 3.39 because you will spend money on gas drive Ig to the other store and you will spend more money
5 3/5 ÷2 1/3 = 28/5 ÷ 7/3
then rearrange therefore =28/5×3/7
= 84/35
answer = 12/5
Answer:
H0: μ ≤ 34
H1: μ > 34
The z-test statistic is ≈ 1.8
The critical z-score is 1.28
we fail to reject the null hypothesis H0: μ ≤ 34
Step-by-step explanation:
H0: μ ≤ 34
H1: μ > 34
The z-test statistic is calculated using the formula:
z=
where
- X is the average class size found in the sample (35.6)
- M is the mean according to the null hypothesis (34)
- s is the standard deviation for class size (9)
then z=
≈ 0.18
The critical z-score is 1.28 for α=0.10 (one tailed)
Because the test statistic is less than the critical value, do not reject the null hypothesis.