5/6 x 18
=90/6
=15
5/6 of 18 pencils equals 15.
If you would like to find g(2), you can do this using the following steps:
g(x) = x^2 - 5x + 7
g(2) = 2<span>^2 - 5 * 2 + 7 = 4 - 10 + 7 = 1
The correct result would be d. 1.</span>
Answer:
The value of x = 15.
Step-by-step explanation:
Given:
BE || CD
AE = 9
ED = 6
AB = x
BC = 10
To Find;
AB = x = ?
Solution:
BE || CD ......................{Given}
Basic Proportionality Theorem:
If a line is parallel to a side of a triangle which intersects the other sides into two distinct points, then the line divides those sides in proportion.
i.e
...........{Basic Proportionality Theorem}
Substituting the given values we get

The value of x = 15.
Answer:
D: Mittens
Step-by-step explanation:
We are given;
Population mean;
- Abyssinian: μ = 12
- Colorpoint shorthair: μ = 14
Population standard deviation;
- Abyssinian: σ = 1.5
- Colorpoint shorthair: σ = 1
Sample mean;
-Fluffy the Abyssinian: x¯ = 13
-Mittens the colorpoint shorthair; x¯ = 15
To find which cat had a longer lifespan, we need to find the z-score for both breeds and the one with the higher z-score is the one with longer lifespan.
Z-score formula is;
z = (x¯ - μ)/σ
For Fluffy the Abyssinian;
z = (13 - 12)/1.5
z = 0.667
For Mittens the colorpoint shorthair;
z = (15 - 14)/1
z = 1
Z-score of Mittens is higher and thus it has a longer lifespan.
Answer:
circumference is given by πd, where d is the diameter of the circle.
This implies, the circumference= 22/7*150m
=3300/7=471.429m