By evaluating the function, we conclude that f(10) = -7
<h3>
How to evaluate the function f(x)?</h3>
Here we know that:
g(x) = 2x - 8
And f(x) = 5 - g(x).
Then we can write:
f(x) = 5 - (2x - 8) = 5 - 2x + 8 = -2x + 13
Now we want ot evaluate it in x = 10, this means replace the variable by the number 10.
f(10) = -2*10 + 13 = -20 + 13 = -7
Then, we conclude that f(10) = 7
If you want to learn more about evaluating:
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Answer:
18.85 feet
Step-by-step explanation:
Determine the arc length of SR
Arc length = θ/360 × 2πr
r = 9 feet
θ =120°
Arc length = 120/360 × 2 × π × 9
= 18.849555922 feet
Approximately = 18.85 feet
Therefore, the arc length of SR = 18.85 feet
Answer:
0.06
Step-by-step explanation:
Complete Questions:
Find the probability of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from the positive integers not exceeding the given integers.
a. 40
b. 48
c. 56
d. 64
Answer:
a. 0.35
b. 0.43
c. 0.49
d. 0.54
Step-by-step explanation:
(a)
The objective is to find the probability of selecting none of the correct six integers from the positive integers not exceeding 40.
Let s be the sample space of all integer not exceeding 40.
The total number of ways to select 6 numbers from 40 is
.
Let E be the event of selecting none of the correct six integers.
The total number of ways to select the 6 incorrect numbers from 34 numbers is:

Thus, the probability of selecting none of the correct six integers, when the order in which they are selected does rot matter is


Therefore, the probability is 0.35
Check the attached files for additionals
Lwh = (3+3+6) (4) (7)
12 x 4 x 7 = 336