Answer:
The value of y s 2.5
Step-by-step explanation:
Vertical angles are always equal to one another. In this case, we can find the angles by setting the two values equal and solving algebraically.
2y + 5 = 4y
5 = 2y
2.5 = y
V=1/3πr^2h
d=3.6 in.
r=1.8 in.
V=1/3×π×1.8^2×3
V≈10.1736 cubic inches. As a result, the volume of the funnel is 10.1736 cubic inches. Hope it help!
Answer:
1+2+3+4+5+7+8+8+8
Step-by-step explanation:
Answer: 0.2643
Step-by-step explanation:
Let p be the population proportion and 
be the sample proportion .
As per given question , we have
z-score : 
The required probability ( using z-table ):-
Hence, the probability that the proportion of books checked out in a sample of 478 books would be less than 13% = 0.2643
First translate the English phrase "Four times the sum of a number and 15 is at least 120" into a mathematical inequality.
"Four times..." means we're multiplying something by 4.
"... the sum of a number and 15..." means we're adding an unknown and 15 and then multiplying the result by 4.
"... is at least 120" means when we substitute the unknown for a value, in order for that value to be in the solution set, it can only be less than or equal to 120.
So, the resulting inequality is 4(x + 15) ≤ 120.
Simplify the inequality.
4(x + 15) ≤ 120
4x + 60 ≤ 120 <-- Using the distributive property
4x ≤ 60 <-- Subtract both sides by 60
x ≤ 15 <-- Divide both sides by 4
Now that we have the inequality in a simplified form, we can easily see that in order to be in the solution set, the variable x can be no bigger than 15.
In interval notation it would look something like this:
[15, ∞)
In set builder notation it would look something like this:
{x | x ∈ R, x ≤ 15}
It is read as "the set of all x, such that x is a member of the real numbers and x is less than or equal to 15".
