Answer:
(a)6 (b)3 (c)0.5
Step-by-step explanation:
Given a fair die with the numbers 1,2,3,4,5, or 6 on each of its faces.
- Event A is the event of rolling an even number
- Event B is the event of rolling an odd number.
(a)The sample space for the outcomes in this experiment is {1,2,3,4,5,6}
There are <u>6</u><u> </u>outcomes in the sample space.
n(S)=6
(b)
Event A is the event of rolling an even number
Sample space of A = {2,4,6}
There are <u>3</u> outcomes in event A.
n(A)=3
(c)The probability of event A
P(A) =<u>0.5</u> is the probability that you choose an even number.
Table D represents a linear function.
Answer:
-21
Step-by-step explanation:
We are told to find f(x) + g(x) for x= -3. Therefore, we must evaluate f(-3) and g(-3), then add them together.
First, evaluate f(-3).
f(x)=4x-7
To find f(-3), we need to substitute -3 in for x.
f(-3)= 4(-3)-7
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction First, multiply 4 and -3.
f(-3)= -12-7
Next, subtract 7 from -12
f(-3)= -19
Next, find g(-3).
g(x)=2x+4
To find g(-3), substitute -3 in for x.
g(-3)= 2(-3)+4
Solve according to PEMDAS. First, multiply 2 and -3.
g(-3)= -6+4
Next, add -6 and 4
g(-3)= -2
Now, we can add f(-3) and g(-3) together.
f(-3) + g(-3)
f(-3)= -19
g(-3)= -2
-19 + -2
Add
-21
Answer:
(c, b)
Step-by-step explanation:
Add the coordinates together and divide by 2
x coordinates: 2c + 0 = 2c, divided by 2 = c
y coordinates: 0 + 2b = 2b, divided by 2 = b
Answer:
The 95% confidence interval for the average number of years until the first major repair is (3.1, 3.5).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for the average using the finite correction factor is:
The information provided is:
The critical value of <em>z</em> for 95% confidence level is,
<em>z</em> = 1.96
Compute the 95% confidence interval for the average number of years until the first major repair as follows:
Thus, the 95% confidence interval for the average number of years until the first major repair is (3.1, 3.5).
