Answer: 45 and 25
Step-by-step explanation:
Given
Five years ago victor was twice as old as his daughter
Suppose the current age of victor and his daughter are x and y
For five years ago

In 10 years sum of their ages is 90

On solving (i) and (ii) we get

So, the current age of victor is 45 and his daughter is 25
Answer:
$189.75
Step-by-step explanation:
Whenever you want to find the percent of something, you need to turn the percent into a decimal. In this case, we need to find 115% of the wholesale price because there is a markup, so the cost will be higher.
115% as a decimal is 1.15. Here is how the equation will be set up:
$165 • 1.15 = $189.75
No rounding is necessary for this problem because it is already to the nearest cent.
Answer: 0.0497870 ; 0.87754
Step-by-step explanation:
Given that :
λ = 0.0003
Defining a continuous distribution function :
F(x) = 1 - e^-λx = 1 - e^-0.0003x ; x ≥ 0
a. What proportion of the fans will last at least 10,000 hours?
P(x ≥ 10000) = e^-0.0003(10000) = 0.0497870
b. What proportion of the fans will last at most 7000 hours?
P(x ≥ 7000) = 1 - p(x ≤ 7000) = 1 - e^-0.0003(7000)
1 - 0.12245642825 = 0.87754
Answer:
D. Rectangle only
Step-by-step explanation:
It's only a rectangle. It can not be a parallelogram neither a rhombus nor a square
It will take 512 minutes to complete station 8.