Given:
A spinner marked A, B, C is spun then a 6-sided die is rolled.
To find:
The probability of getting a B and then a 6.
Solution:
We know that,
![\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}](https://tex.z-dn.net/?f=%5Ctext%7BProbability%7D%3D%5Cdfrac%7B%5Ctext%7BFavorable%20outcomes%7D%7D%7B%5Ctext%7BTotal%20outcomes%7D%7D)
Total possible values for a spinner are 3. So, the probability of getting B, we get
![P(B)=\dfrac{1}{3}](https://tex.z-dn.net/?f=P%28B%29%3D%5Cdfrac%7B1%7D%7B3%7D)
Total possible values for a die are 6. So, the probability of getting 6, we get
![P(6)=\dfrac{1}{6}](https://tex.z-dn.net/?f=P%286%29%3D%5Cdfrac%7B1%7D%7B6%7D)
Now, the probability of getting a B and then a 6 is
![P(B,6)=\dfrac{1}{3}\times \dfrac{1}{6}](https://tex.z-dn.net/?f=P%28B%2C6%29%3D%5Cdfrac%7B1%7D%7B3%7D%5Ctimes%20%5Cdfrac%7B1%7D%7B6%7D)
![P(B,6)=\dfrac{1}{18}](https://tex.z-dn.net/?f=P%28B%2C6%29%3D%5Cdfrac%7B1%7D%7B18%7D)
The required probability is
.
Therefore, the correct option is D.
Answer:
- question 2 answer is C. (-1,7) and (6,28)
- question 3 answer is A. it is possible for a system of equations composed of linear function and a quadratic function to have 3 solutions.
- question 4 answer is (1,6)
P.s. if any question is wrong then I'm sorry. :(
Step-by-step explanation:
question 4
y=2x^2-5x+9
y= 2x^2+5x-1
y= 2x^2-5x+9=2x^2+5x-1
x=1
y= 2×1^2+5×1-1
y=6
To multiply whole numbers and fractions, multiply the numerator by the whole number. Example: 1/3×4= 4/3=1 1/3
Answer:
4.5 miles per hour
Step-by-step explanation:
Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is 3/4 of a mile long. On Monday, Selma ran the loop in 1/6 of an hour. What is Selma's unit rate in miles per hour for Monday's run?
Distance = 3/4 of a mile
Time taken on Monday = 1/6 of an hour.
What is Selma's unit rate in miles per hour for Monday's run?
Unit rate in miles per hour for Monday's run = distance ÷ time taken
= 3/4 ÷ 1/6
= 3/4 × 6/1
= (3 * 6) / (4 * 1)
= 18/4
= 4.5 miles per hour
Unit rate in miles per hour for Monday's run = 4.5 miles per hour