Answer:
81.82%
Step-by-step explanation:
First we need to convert the X score to Z score using the formula;
Z = X-µ/σ
If X = 225.76
Z = 225.76-256.43/27.11
Z = -30.67/27.11
Z = -1.1313
Similarly if X = 300.35
Z = 300.35-256.43/27.11
Z = 43.92/27.11
Z = 1.6201
Hence the required z score is P(-1.1313 ≤ Z ≤ 1.6201)
Checking the normal distribution table;
P( Z ≤ 1.6201) = 0.9474 = 94.74%
P(Z ≤ -1.1313) = 0.1292 = 12.92%
P(-1.1313 ≤ Z ≤ 1.6201) = 94.74 - 12.92
P(-1.1313 ≤ Z ≤ 1.6201) = 81.82%
We have to calculate how many cubic yards of dirt must be removed. First we have to convert feet to yards:
1 yard = 3 ft
L = 94 ft : 3 = 31.33 yd
W = 36 ft : 3 = 12 yd
H = 24 ft : 3 = 8 yd
Volume:
V = L x W x H = 31.33 * 12 * 8 = 3,008 yd³
Answer : 3,008 yd³.
Answer:
12 pencils
Step-by-step explanation:
5 + 1 = 50% of the original amount
5 + 1 = 6
50% = 6
6 x 2 = 12 = 100%
Katie had 12 pencils
Answer:
c=45
Step-by-step explanation:
In triangle ABC, if a=12, b=10 and the measure of angle C=45 ..