I attached a screenshot with the complete question.
Answer:x-coordinate of point w is nearly -3.5
Explanation:To get the x-coordinate of a certain point, we would need to read the value of this point on the horizontal axis (the x-axis).
Taking a look at point w, we would find that it is in the second quadrant. This means that it has a negative x-value.
Now, reading the x-value on the horizontal axis, we can see that it is nearly midway between points -3 and -4.
This means that point w is approximately -3.5
Hope this helps :)
Answer:
$82.57
Step-by-step explanation:
The tip they leave is ...
$78.64 × 0.20 = $15.73
The amount of the discount is ...
$78.64 × 0.15 = $11.80
Then the total cost of the meal and tip is ...
meal price - discount + tip
$78.64 -11.80 +15.73 = $82.57

SOLVE FOR X IN THE DIAGRAM
SUM OF ALL ANGLES ON STRAIGHT LINE IS 180°

ANGLES :- 5x , (x+54°),90


Using the normal distribution, there is a 0.2076 = 20.76% probability that the proportion of persons with a college degree will differ from the population proportion by greater than 3%.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
- By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean
and standard deviation
, as long as
and
.
The proportion estimate and the sample size are given as follows:
p = 0.45, n = 437.
Hence the mean and the standard error are:
The probability that the proportion of persons with a college degree will differ from the population proportion by greater than 3% is <u>2 multiplied by the p-value of Z when X = 0.45 - 0.03 = 0.42</u>.
Hence:

By the Central Limit Theorem:

Z = (0.42 - 0.45)/0.0238
Z = -1.26
Z = -1.26 has a p-value of 0.1038.
2 x 0.1038 = 0.2076.
0.2076 = 20.76% probability that the proportion of persons with a college degree will differ from the population proportion by greater than 3%.
More can be learned about the normal distribution at brainly.com/question/28159597
#SPJ1
<h3>
Answer: Choice D) 2 & 1/2</h3>
Work Shown:
Length of AC = 10-4 = 6 units (I'm subtracting the x coordinates)
Length of A'C' = 25-10 = 15 units
Scale factor = (A'C')/(AC) = 15/6 = 5/2 = 2.5 = 2 & 1/2
Triangle A'B'C' has side lengths that are 2 & 1/2 times longer compared to the corresponding sides of triangle ABC.