Step-by-step explanation:
Notice that:
15x = 5 * 3x and 10y = 5 * 2y.
Since there is a common factor of 5,
we can take out the factor.
=> 15x + 10y = (5)(3x) + (5)(2y) = 5(3x + 2y).
Answer:
x = 30
Step-by-step explanation:
9-x/5=3
Subtract 9 from each side
9-9-x/5=3-9
-x/5 = -6
Multiply each side by -5
-x/5 *-5 = -6*-5
x = 30
Answer:
y = e^x
Step-by-step explanation:
The fastest way to do this is to use a graphing calc or an online graphing platform and check to see which graph matches the one given.
Answer:
Option (C) and (D)
Step-by-step explanation:
Given piecewise function is,
f(x) = 2x, x < 1
5, x = 1
, x > 1
Option (A),
x = 5 means x > 1
So the function will be,
f(x) = 
f(5) = (5)²
= 25
Therefore, f(5) = 1 is not correct.
Option (B),
x = -2 means x < 1
f(x) = 2x will be applicable.
f(-2) = 2(-2) = -4
Therefore, f(-2) = 4 is not correct.
Option (C)
For x = 1,
f(1) = 5
Therefore, f(1) = 5 is the correct option.
Option (D)
x = 2 means x > 1 and the function defined will be,
f(x) = x²
f(2) = 2²
= 4
Therefore, f(2) = 4 will be the correct option.
Options (C) and (D) will be the answer.
Using conditional probability, it is found that there is a 0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.
Conditional Probability
In which
- P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
- P(A) is the probability of A happening.
In this problem:
- Event A: Person has the flu.
- Event B: Person got the flu shot.
The percentages associated with getting the flu are:
- 20% of 30%(got the shot).
- 65% of 70%(did not get the shot).
Hence:

The probability of both having the flu and getting the shot is:

Hence, the conditional probability is:

0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.
To learn more about conditional probability, you can take a look at brainly.com/question/14398287