3,7,11,15,19,23,27,31
32 = 8th term.
The common difference is +4
Answer:
100
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Define
x(x - y)²
x = 4
y = 9
Step 2: Substitute and Evaluate
4(4 - 9)²
4(-5)²
4(25)
100
Answer:
0.1071
Step-by-step explanation:
Given
Total number of students=8
Boys=2
Girls=6
When we are picking a group from population we use combinations to calculate sample space and for event
So if a group of 5 has to be picked from 8 students
ⁿC_k= n!/(k!)(n-k)!
C_(n,k)= n!/(k!)(n-k)!
Here n=8 and k=5
C_8,5= 8!/(5!)(8-5)!
This will give us:
C_8,5=56
And if we have to pick only girls:
C_6,5= 6!/(5!)(6-5)!
=6
The probability of picking all girls:
=6/56
=0.1071
Answer:
Answer: 40 sq. in.
Step-by-step explanation:
First we gotta find the area of triangle part of the shape, we can see the left side of the shape is 5 in. , so we subtract the 3 from 5 which gives 2 the height of the triangle.
Now, we find the length for the base of the triangle, the top part of the shape is 7 in. , so we subtract 7 from 12 which gives us 5 in. as the base
Now, we find the area of the triangle:
A =
b × h
A = (
× 5 in,) × 2 in
A = 5 sq. in.
Now we find the area for the rectangle:
A = b × h
A = 5 x 7
A = 35 sq. in
Finally, we add the areas together
35 sq. in. + 5 sq. in. = 40 sq. in.
We get our answer 40 sq. in,