Answer:
6.5:2.5 or 6.5/2.5 or 6.5 to 2.5
Step-by-step explanation:
A ratio is two numbers put together by a colon, slash (fraction), or "to"
This particular questions asks for math to English, so put in the Math ratio first then English.
Answer:
The 90% confidence interval for the true proportion of all consumers who favor the design is (0.52, 0.59).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
For this problem, we have that:
90% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 90% confidence interval for the true proportion of all consumers who favor the design is (0.52, 0.59).
You're going to have to work out the z-scores of both values in each option and see if it makes sense.
n = m + sz
The mean is 20 and the standard deviation is 3.
So let's find try the z-scores of the outer range values and determine their probabilities:
from 14-20:
n = m + sz
20 = 20 + 3z and 14 = 20 + 3z
0 = 3z and -6 = 3z
z = 0 and z = -2
So now using a z-score table, such as the one below, find the probabilities.
z = 0 is easy, it's 0.5
z = -2 is 0.02275
Subtract the smaller from the larger to get the probability of getting in the range:
0.5 - 0.02275 = 0.47725 (so times 1000, you get 477.25, which is not about 340, so this option is wrong)
---
Now trying option 2, from 17-29:
n = m + sz
29 = 20 + 3z and 17 = 20 + 3z
9 = 3z and -3 = 3z
z = 3 and z = -1
0.99865 - 0.158655 = 0.839995 (not 680, so not the answer)
---
Now trying option 3, from 20-23:
n = m + sz
23 = 20 + 3z and 20 = 20 + 3z
3 = 3z and 0 = 3z
z = 1 and z = 0
0.841345 - 0.5 = 0.341345 (close to 340, so is your answer)
It moves in a horizontal line. Its 'y value' does not change.
(j/2) + 7 = -12 // Given
(j/2) + 7 - 7 = -12 - 7 // Subtraction Property of Equality
(j/2) = -19 // Simplify
(j/2) • 2 = -19 • 2 // Multiplication Property of Addition
j = 38
