Directly proportional to x.
<h3>What is propotionality?</h3>
- In algebra, proportionality is the equality of two ratios.
- A and B are in the same ratio as C and D in the formula a/b = c/d.
- When one of a proportion's four quantities is unknown, a proportion is often built up to resolve the word problem.
- By multiplying one numerator by the opposing denominator and equating the result to that of the other numerator and denominator, the equation can be solved.
- Any relationship that has a constant ratio is said to be proportionate. For instance, the ratio of proportionality is the average number of apples per tree, and the amount of apples in a crop is proportional to the number of trees in the orchard.
Acc to our question-
- If two variables' ratios (yx)
- (x and y) have the same value as a constant (k=yx)
- therefore the ratio's variable (y) in the numerator is the sum of the other variable and the constant (y=k:x).
- With a proportionality constant of k, it is claimed that y is directly proportional to x in this instance.
Hence,Directly proportional to x.
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Answer: 27,24,21....
d=24-27=-3 a=27
let nth term=0
a+(n-1)d=0
27+(n-1)-3=0
(n-1)-3=-27
n-1=9
n=10
Step-by-step explanation:
Answer:
<h3>Three times as large as the pyramid's volume</h3>
Step-by-step explanation:
Let the volume of prism be Vp
Let the Volume of pyramid be Vy
Vp = Base Area * Height .... 1
Vy = Base * Height/3 ....2
From 2;
Vp = BH/3
BH = 3Vy
Since Vp = BH, then;
Vp = 3Vy
This shows that the volume of prism is three times as large as pyramids volume
Answer:
189 components must be sampled.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
That is z with a pvalue of 
, so Z = 2.575.
Now, find the margin of error M as such
Assume that component lifetimes are normally distributed with population standard deviation of 16 hours.
This means that 
How many components must be sampled so that a 99% confidence interval will have margin of error of 3 hours?
n components must be sampled.
n is found when M = 3. So
Rounding up:
189 components must be sampled.
AS we know that:
And we have the volume and we can calculate the SA,,,
So that, we can conclude:
Are you
satisfied?
