First question seems incomplete :
Answer:
40 ways
Step-by-step explanation:
Question B:
Number of boys = 6
Number of girls = 4
Number of people in committee = 3
Number of ways of selecting committee with atleast 2 girls :
We either have :
(2 girls 1 boy) or (3girls 0 boy)
(4C2 * 6C1) + (4C3 * 6C0)
nCr = n! ÷ (n-r)!r!
4C2 = 4! ÷ 2!2! = 6
6C1 = 6! ÷ 5!1! = 6
4C3 = 4! ÷ 1!3! = 4
6C0 = 6! ÷ 6!0! = 1
(6 * 6) + (4 * 1)
36 + 4
= 40 ways
Answer:
P (5 , 8)
Step-by-step explanation:
P (x,y) partition A (x₁ , y₁) B (x₂ , y₂) into ratio AM:MB = a:b = 2:1 ... a=2 , b=1
x = (bx₁ + ax₂) / (a+b)
= (1 * 3 + 2 * 6) / (2 + 1)
= 15/3
= 5
y = (by₁ + ay₂) / (a+b)
= (1 * 4 + 2 * 10) / (2 + 1)
= 24/3
= 8
P (5 , 8)
Answer: 54 degrees
explanation: i haven’t learned this yet but it looks like those two angles are complementary angles so the other one would have to 54 so it adds up to 90 degrees
Answer:
see explanation
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
The polygon here has 8 sides, that is n = 8, thus
sum = 180° × 6 = 1080°
Sum the given angles and equate to 1080, that is
14x + 133 + 167 + 138 + 18x + 115 + 151 + 120 = 1080
32x + 824 = 1080 ( subtract 824 from both sides )
32x = 256 ( divide both sides by 32 )
x = 8
Thus the 2 unknown angles are
14x = 14 × 8 = 112°
18x = 18 × 8 = 144°
Answer:
1
Step-by-step explanation:
The problem is basically asking us to find the value on the graph corresponding to the x value of 1. We can draw a line with the equation x = 1(or just trace your finger up) to see that when x = 1, the output of the function is at the value 1 as well(the y value).
