Answer:
x = 45
Step-by-step explanation:
Re-order terms so constants are on the left
15 * x/9 - 42 =28
Combine multiplied terms into a single fraction
15x/9 - 42 = 28
Cancel terms that are in both the numerator and denominator
5x/3 - 42 = 28
Answer:
volume = 1809 cm³
Step-by-step explanation:
The ratio of the height of two similar cylinder is 1:3 . The volume of the smaller cylinder is 67 cm³. The volume of the larger cylinder can be computed below:
If 2 object are similar and the ratio of the corresponding sides is x ,then the ratio of their volume is x³.
ratio of height = 1/3
ratio of volume = (1/3)³ = 1/27
volume of smaller cylinder/volume of larger cylinder = 1/27 = 67/x
where
x = volume of the larger cylinder
x = 27 × 67
x = 1809 cm³
volume = 1809 cm³
Answer:
18
Step-by-step explanation:
because 20% of 90 is 18
12/x=6/7 answer: x=14
6x/4=8/12 answer x = 0.4444444444
7/x+13=4/12 answer x=8
y+5/y=10/8 answer y=20
Answer:
97.10% probability that five or more of the original 2000 components fail during the useful life of the product.
Step-by-step explanation:
For each component, there are only two possible outcomes. Either it works correctly, or it does not. The probability of a component falling is independent from other components. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem we have that:

Approximate the probability that five or more of the original 2000 components fail during the useful life of the product.
We know that either less than five compoenents fail, or at least five do. The sum of the probabilities of these events is decimal 1. So

We want 
So

In which









97.10% probability that five or more of the original 2000 components fail during the useful life of the product.