Answer:
y-intercept of the line MN = 2
Standard form of the equation ⇒ x + y = 2
Step-by-step explanation:
Coordinates of the ends of a line MN → M(-3, 5) and N(2, 0)
Slope of a line = 
= 
= -1
Equation of the line MN passing through (-3, 5) and slope = -1,
y - 5 = (-1)(x + 3)
y - 5 = -x - 3
y = -x + 2
This equation is in the y-intercept form,
y = mx + b
where m = slope of the line
b = y-intercept
Therefore, y-intercept of the line MN = 2
Equation in the standard form,
x + y = 2
Answer:
B. 96
Step-by-step explanation:
Let x represent score of final third exam.
We have been given that in a given course a student receives preliminary examination grades of 81, 85, and 95.
Let us find average of preliminary scores.

We have been given that the final examination is weighed for one-third and the average of the preliminary grades is weighed as 2/3 of the final grade. This means that final grade is equally weighed into 3 parts. The two parts are 87 each and third part is x.
Using our given information, we can set an equation as:






Therefore, the final examination grade should be 96 for a semester average of 90.
The expression is given such as:
45, 200 + 1900x
We are asked to solve for the initial production, which means we have x = 0
The solution is shown below:
45, 200 + 1900*0
= 45,200 +0
=45, 200
The answer is letter "C" 45, 000.
Answer:
uzv
the center of the circle
WSX
equal to
79
Step-by-step explanation:
on edginuity
Answer: 2185
Step-by-step explanation:
Let p be the proportion of visitors are campers.
Given : The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of visitors who plan to camp in the state.
The prior proportion of visitors are campers : p=0.35
Allowable error : E= 2%= 0.02
We know that the z-value for 95% confidence = 
Then by Central Limit Theorem , the required sample size would be :


Simply , we get
[Rounded to the next whole number.]
Hence, the smallest sample size to estimate the population proportion of campers =2185