Answer: B.$43.95
Explanation: 15% of $293 is $43.95
Y = mx +b whre m is the slope and b is the y-intercept.
We have the slope 3/4 so put that instead of m
y = 3/4x + b
Now to find the y-intercept (b), plug the ordered pair in and solve for b.
-4 = 3/4 * 5 + b
-4 = 15/4 + b
-31/4 + b
So y = 3/4x - 31/4
Answer:
1 solution
Step-by-step explanation:
the equation when distributed and simplified comes out to x=21
since there is only one variable there is only one answer
Answer:
In the classroom there are 16 girls and 20 boys
Step-by-step explanation:
The question in English is
In the ninth grade, 62.5% of girls and 80% of boys passed the mathematics course, while 87.5% of girls and 60% of boys passed the history course. Calculate the number of students in the classroom, if the total number of passes is 26 in both subjects
Let
x ----> total girls in the classroom
y ---> total boys in the classroom
we know that
mathematics course
-----> equation A
history course
----> equation B
Solve the system of equations by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
The solution is the point (16,20)
see the attached figure
therefore
In the classroom there are 16 girls and 20 boys
Answer:
4

5

Step-by-step explanation:
From the question we are told that
The percentage of hair dryers that are defective is p=2% 
The sample size is 
The random number is x = 219
The mean of this data set is evaluated as

substituting values


The standard deviation is evaluated as
![\sigma = \sqrt{[\mu (1 -p)]}](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%20%5Csqrt%7B%5B%5Cmu%20%281%20-p%29%5D%7D)
substituting values
![\sigma = \sqrt{[200 (1 -0.02)]}](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%20%5Csqrt%7B%5B200%20%281%20-0.02%29%5D%7D)

Since it is a one tail test the degree of freedom is
df = 0.5
So



Now applying normal approximation

substituting values


From the z-table

Considering Question 5
The random number is x = 90
The mean is 
Where n = 100
and p = 0.85
So

The standard deviation is evaluated as
![\sigma = \sqrt{[\mu (1 -p)]}](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%20%5Csqrt%7B%5B%5Cmu%20%281%20-p%29%5D%7D)
substituting values
Since it is a one tail test the degree of freedom is
df = 0.5
Now applying normal approximation

substituting values


From the z-table
