Answer:
2.28%
Step-by-step explanation:
Given that:
µ = 40 minutes ; σ = 3.5.
x = > 47 minutes
Obtain the standardized score, Z
Zscore = (x - μ) / σ
P(x > 47) = (47 - 40) / 3.5
P(x > 47) = 7 / 3.5
P(x > 47) = 2
P(z > 2) = 0.02275
Hence, Probability that next pizza delivery takes over 47 minutes is 0.02275 = 2.275% = 2.28%
Answer:
-4<3, 5>-5, -6<0, -4>-12, -9<1, -8<100, -90<5, -3<-2, -7<-5, 10>3
Step-by-step explanation:
Answer:
88.16 units
Step-by-step explanation:
The line at the far left is also = x
For right triangles
Tan (angle ) = opposite leg / adjacent leg
for this triangle tan 10 = x / 500
rearrange to x = 500 tan 10° = 88.16 units
10 oats must be added to make it 50% of oats in the animal feed
Answer:
10626 different arrangements
Step-by-step explanation:
As we have a total of 23 students and we want to form groups of 3, where the order of the 3 students matters, we can solve this problem using a permutation of 23 choose 3.
The formula for a permutation of n choose p is:
P(n,p) = n! / (n-p)!
So, using n = 23 and p = 3, we have:
P(23,3) = 23! / (23-3)! = 23! / 20! = 23 * 22 * 21 = 10626
So we have a total of 10626 different arrangements of first, second and third place.
