Answer:
Yes, Amanda has enough materials to make the concrete mix.
Step-by-step explanation:
Total units = 1+3+5
= 9
9 units = 630kg
1 unit = 630kg ÷ 9
= 70kg (Less than 80kg of cement, more than enough)
3 units = 3 × 70kg
= 210kg (Less than 215kg of sand, more than enough sand)
5 units = 5 × 70kg
= 350kg (Less than 370kg of gravel, more than enough gravel)
Let x be a random variable representing the heights of adult American men. Since it is normally distributed and the population mean and standard deviation are known, we would apply the formula,
z = (x - mean)/Standard deviation
From the information given,
mean = 68
standard deviation = 2.5
The probability that the height of a selected adult is between 63 and 73 is expressed as

For x = 63,
z = (63 - 68)/2.5 = -2
Looking at the normal distribution table, the probability corresponding to the z score is 0.02275
For x = 73,
z = (73 - 68)/2.5 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.97725
Therefore,

Thus, the percentage of men are between 63 and 73 is
0.9545 * 100 = 95.45%
Rounding up to the nearest percentage, the answer is 95%
Answer:
Step-by-step explanation:
Given
Liam deposited 
Rate of interest is 
If the amount after t years is 
Simple interest is given by

And amount is


Substituting values we get




