Answer:
See below
Step-by-step explanation:
<u>Angle 4 is exterior angle of the triangle and as per definition:</u>
<u>Angle 4 is supplementary with angle 3, they sum up to straight angle of 180°</u>
Alright! Given that C(x) is Cost(Students) = 558, we can eliminate:
2. 558 students paid to attend the event.
5. The event generated $124 from student revenue.
Now, in order to find the cost per student we simply divide 124 on both sides:

124 cancels on the left and 558/124 is 4.5 or $4.50.
Since we just determined the cost of one student, we can eliminate 3.
To check if 124 students paid, we simply add the cost to the equation and check:
4.5(124) = 558
558 = 558 √
It checks out, so we determined that both 1 and 4 are correct.
Answer:
0.01596
Step-by-step explanation:
A scientist claims that 8% of the viruses are airborne
Given that:
The population proportion p = 8%
The sample size = 477
We can calculate the standard deviation of the population proportion by using the formula:




The required probability can be calculated as:


= P(Z < -2.41) + P(Z > 2.41)
= P(Z < -2.41) + P(Z < -2.41)
= 2P( Z< - 2.41)
From the Z-tables;
= 2 ( 0.00798
= 0.01596
Thus, the required probability = 0.01596
Answer:
x =1, x = 0 is extraneous.
Step-by-step explanation:
5/x = 4x + 1 / x^2
5x^2 = 4x^2 + x
5x^2 - 4x^2 - x = 0
x^2 - x = 0
x(x - 1) = 0
x = 0, 1.
x is not a solution because 5/x is undefined.
Answer:
x=1000
Step-by-step explanation: