Answer:
the probability is 90% that the sample percentage is contained within 45.5% and 54.5% symmetric limits of the population percentage.
Step-by-step explanation:
From the given information:
Sample size n = 200
The standard deviation for a sampling distribution for two brands are equally likely because the individual has no ability to discriminate between the two soft drinks.
∴
The population proportion 
= 1/2 = 0.5
NOW;
However, in order to determine the symmetrical limits of the population percentage given that the z probability is 90%.
we use the Excel function as computed as follows in order to determine the z probability = NORMSINV (0.9)
z value = 1.281552
Now the symmetrical limits of the population percentage can be determined as: ( 1.28, -1.28)
1.28 × 0.035355 = X - 0.5
0.0452544= X - 0.5
0.0452544 + 0.5 = X
0.5452544 = X
X 
0.545
X = 54.5%
- 1.28 × 0.035355 = X - 0.5
- 0.0452544= X - 0.5
- 0.0452544 + 0.5 = X
0.4547456 = X
X 0.455
X = 45.5%
Therefore , we can conclude that the probability is 90% that the sample percentage is contained within 45.5% and 54.5% symmetric limits of the population percentage.
We have to simplify the given expression:
Dividing the terms of the numerator by the given term of denominator individually, we get
= 
By using the laws of exponent, 
, we get
= 
= 
= 
= 
Therefore, the simplification of the given expression is .
So, Option 3 is the correct answer.
Answer:
The triangles can be provided by the SSS theorem to be congruent is NOT true.
Step-by-step explanation:
hope this helped!
Divide your number into perfect square factors. ...
Take the square roots of your perfect square factors. ...
Reduce your answer to simplest terms, if your number doesn't factor perfectly. ...
Estimate, if necessary. ...
Reduce your number to its lowest common factors as a first step.
Answer:
Step-by-step explanation:
1. 13x + 2 = 4x + 38
9x + 2 = 38
9x = 36
x = 4
2. 6(2/3 + q/6 = 5/6q + 1/3)
4 + q = 5q + 2
4 - 4q = 2
-4q = -2
q = 2/4= 1/2
3. 6n + 24 = -18
6n = -42
n = -7
4. -11 + 3b + 15 = 7
3b + 4 = 7
3b = 3
b = 1
5. 5 + 2n + 2 = 2n
2n + 7 = 2n
0 ≠ 7
6. 7 - 3r = r - 8 - 4r
7 -3r = -3r - 8
0 ≠ -15
7. 14v + 6 = 10 + 14v - 4
14v + 6 = 14v + 6
0 = 0
infinitely many solutions
8. 5h - 7 = 5h - 10 + 3
5h - 7 = 5h - 7
0 = 0
infinitely many solutions
9. a. 10x + 10 (triangle)
b. 4x + 2x + 26 = 6x + 26 (rectangle)
10x + 10 = 6x + 26
4x + 10 = 26
4x = 16
x = 4
answer is A
