Step-by-step answer:
Given:
mean, mu = 200 m
standard deviation, sigma = 30 m
sample size, N = 5
Maximum deviation for no damage, D = 100 m
Solution:
Z-score for maximum deviation
= (D-mu)/sigma
= (100-200)/30
= -10/3
From normal distribution tables, the probability of right tail with
Z= - 10/3
is 0.9995709, which represents the probability that the parachute will open at 100m or more.
Thus, by the multiplication rule, the probability that all five parachutes will ALL open at 100m or more is the product of the individual probabilities, i.e.
P(all five safe) = 0.9995709^5 = 0.9978565
So there is an approximately 1-0.9978565 = 0.214% probability that at least one of the five parachutes will open below 100m
Answer:
The student added the discount instead of subtracting the discount.
They also did not calculate the tax correctly.
Step-by-step explanation:
Original price is 499
Discount = original price * percent off
Discount = 499 * .18
=89.82
The sale price = original price minus the discount
sale price = 499-89.82
sale price = 409.18
Sales tax = sale price * tax rate
= 409.18 * 8.875%
=409.18*.08875
=36.314725
Rounding to the nearest cent
36.31
Final cost = sale price + sales tax
=409.18+36.31
445.49
The student added the discount instead of subtracting the discount.
They also did not calculate the tax correctly.
Answer:
D
Step-by-step explanation:
D is the only answer given as a ratio, the rest are not.
Answer:
Data skewed to the right is usually a result of a lower boundary in a data set (whereas data skewed to the left is a result of a higher boundary). So if the data set's lower bounds are extremely low relative to the rest of the data, this will cause the data to skew right. Another cause of skewness is start-up effects.
Step-by-step explanation:
1) an = a1 + d*(n-1) => a20 = -4 + (-9)*19 = -4 - 171 = - 175
1) ---> C)
2) a81 = 20 + 4*80 = 340;
2) ---> A)
3) a12 = ?
3) ---> B) or D).
