Answer:
Step-by-step explanation:
1) ∠1 + 33 = 180 {Straight line}
∠1 = 180 - 33
∠1 = 147
2){Exterior angle of a triangle equals the sum of opposite interior angles}
∠2 = 47 + 33
∠2 = 80
3) ∠2 +x = 180 {straight line}
80 + x = 180
x = 180 - 80
x = 100
{Exterior angle of a triangle equals the sum of opposite interior angles}
∠3 = 100 + 48
∠3 = 148
For question 7, if we add all votes for tiger and eagle, we get
tiger = 14 + 13 + 8 + 5 = 40
eagle = 6 + 7 + 12 + 15 = 40
so choices A and B are wrong.
C is also wrong because fifth and sixth grade votes for eagle are 6 + 7 = 13 and the 5th and 6th grade votes for tiger are 14 + 13 = 27. clearly 5th + 6th like tiger more.
D is the answer for question 7
question 8
rolling a cube does not affect the other cube so it is all independent probability.
cube: 1 2 3 4 5 6
3 even numbers and 3 odd numbers
so probability of rolling an even number is
1/6 + 1/6 + 1/6 = 3/6 = 1/2
multiplying by total number of rolls, she will get even numberss
300 * 1/2 = 150
about 150 time.
so half of the time, Cassie will roll and even number about half the number of rolls. never exactly since this is all probability. more likely for it to be around 150 times than exactly 150 time.
choice C is answer for question 8
Answer:
Option (C) n = 256
Therefore, there are 256 ways to select a car with 2 car models, 8 different colors and any combinations of 4 optional features.
Step-by-step explanation:
A new car is available in a sedan model and a hatchback model.
So that means customers can select the model of the car in,
n₁ = 2 ways
It is available in eight different colors.
After selecting the model, customers can select the color of the car in,
n₂ = 8 ways
Customers can choose to add any combination of four optional features.
After selecting the color, customers have the choice to add any combination of 4 optional features,
n₃ = 4² = 16 ways
Which means that there are 16 different ways to add 4 optional features e.g.
1. 0, 0, 0, 0
2. 0, 0, 0, 1
3. 0, 0, 1, 0
4. 0, 0, 1, 1
and the list goes on to 16 different ways.
Now the total ways to select a car is given by
n = n₁*n₂*n₃
n = 2*8*16
n = 256
Therefore, there are 256 ways to select a car with 2 car models, 8 different colors and any combinations of 4 optional features.
1-2 = -1
If that's what u mean
Answer:
= 45/99 (since 45 is the repeating part of the decimal and it contains 2 digits). We can divide both the top and bottom parts by 9 to find that 0.454545… = 45/99 = 5/11.
Step-by-step explanation:
Hope this helps!
