For this case, the first thing we must do is define variables:
x: number of people
y: total cost of the ticket
We write then the linear equation that represents this problem:
y = (- 3/8) x + 42
For y = 30 we have:
30 = (- 3/8) x + 42
We clear the value of x:
(3/8) x = 42 - 30
x = (8/3) * (12)
x = 32
Answer:
the number of people in Marcos's group is:
x = 32
Given that the measure of ∠ADC = (7x + 2)° and arc AC = (8x - 8)°
We need to determine the measure of ∠ABC
<u>The value of x:</u>
The measure of ∠ADC can be determined using the formula,
Substituting the values, we get;
Thus, the value of x is 10.
<u>The measure of ∠ADC:</u>
Substituting the value x = 10 in the measure of ∠ADC = (7x + 2)°
We have;
Thus, the measure of ∠ADC is 72°
<u>The measure of ∠ABC:</u>
The measure of ∠ABC can be determined using the central angle theorem.
Thus, we have;
Thus, the measure of ∠ABC is 36°
Hence, Option A is the correct answer.
3/4 of an hour is <span>45 minutes.</span>
The probability that Andrew has heart disease is 0.9. Andrew takes a test for the disease that has an accuracy rate of 75%. What is the probability that Andrew has heart disease and the test accurately predicts it?
Answer: The probability that Andrew has heart disease
Also we know that the accuracy rate of test or
The given two events are independent.
Therefore, the probability that Andrew has heart disease and the test accurately predicts it