Answer:
D) g(x) = 4x^2 because the given point works when it's plug in the equation.
Step-by-step explanation:
It's a vertical stretch so a>1 for the transformation
Definitely not C, since it's a shrink with 0<a<1.
Plug in the point to see which one works
g(x) = 16x^2
g(1) = 16. A is not right
B is the same thing to A
g(1) = (4*1)^2 = 16. So, B is also not right
For D:
g(1) = 4(1)^2 =4. Point (1,4) that's show on the graph works for this equation.
D is correct
Answer:
$1.40
Step-by-step explanation:
Unit = "1 value"
9.80/7 = 1.4
Using the definition of expected value, it is found that Ayo can be expected to make a profit of £55.8.
The <em>expected value</em> is given by the <u>sum of each outcome multiplied by it's respective probability.</u>
In this problem:
- The player wins $6, that is, Ayo loses £6, if he rolls a 6 and spins a 1, hence the probability is
.
- The player wins $3, that is, Ayo loses £3, if he rolls a 3 on at least one of the spinner or the dice, hence, considering three cases(both and either the spinner of the dice), the probability is

- In the other cases, Ayo wins £1.40, with
probability.
Hence, his expected profit for a single game is:

For 216 games, the expected value is:

Ayo can be expected to make a profit of £55.8.
To learn more about expected value, you can take a look at brainly.com/question/24855677
Answer:
1) given
2) given
3) definition of vertical angles
4) AAS
Step-by-step explanation:
9514 1404 393
Answer:
Step-by-step explanation:
To find miles per hour, divide miles by hours:
(15 mi)/(3 h) = 15/3 mi/h = 5 mi/h
__
To find distance, multiply speed by time.
(5 mi/h) × (10 h) = 50 mi