Answer:
a. 2.28%
b. 30.85%
c. 628.16
d. 474.67
Step-by-step explanation:
For a given value x, the related z-score is computed as z = (x-500)/100.
a. The z-score related to 700 is (700-500)/100 = 2, and P(Z > 2) = 0.0228 (2.28%)
b. The z-score related to 550 is (550-500)/100 = 0.5, and P(Z > 0.5) = 0.3085 (30.85%)
c. We are looking for a value b such that P(Z > b) = 0.1, i.e., b is the 90th quantile of the standard normal distribution, so, b = 1.281552. Therefore, P((X-500)/100 > 1.281552) = 0.1, equivalently P(X > 500 + 100(1.281552)) = 0.1 and the minimun SAT score needed to be in the highest 10% of the population is 628.1552
d. We are looking for a value c such that P(Z > c) = 0.6, i.e., c is the 40th quantile of the standard normal distribution, so, c = -0.2533471. Therefore, P((X-500)/100 > -0.2533471) = 0.6, equivalently P(X > 500 + 100(-0.2533471)), and the minimun SAT score needed to be accepted is 474.6653
Answer:
A. 15.2%
Step-by-step explanation:
Subtract the new price from the old one to find the dollar amount that the water bottle price was reduced.
The price was reduced by 25 cents, but we need to find the percentage. To do that, we divide the price reduction by the original price.
And then move the decimal place over two spots (multiply by 100)
15.2
Answer: x =-7 and y =10
Step-by-step explanation:
The given system of equations :
Add equation (1) and (2), we get
Put value of x in (2), we get
hence, the solution of the given system is x =-7 and y =10.
5% of 11 is 0.55. What number times 0.55 = 11? Well if we divide 11 by 0.55, we see that the answer is 20. So, the population will double in 20 years. If the population is 22 in 20, it stands to reason that it will take another 20 years to double from 22 to 44. So, the population will reach 44 in 40 years.
Hope this helps.
Answer:
Slant height = 33 inches
Step-by-step explanation:
r = 12 inches
Lateral Surface Area of cone = 396π square inches
πrl = 396π
π * 12 * l = 396π
l = 33 inches
