Answer:
y= ab if a≠b
Step-by-step explanation:
y/a −b= y/b −a
multiply each side by ab to clear the fractions
ab(y/a −b) = ab( y/b −a)
distribute
ab * y/a - ab*b = ab * y/b - ab *a
b*y - ab^2 = ay -a^2 b
subtract ay on each side
by -ay -ab^2 = ay-ay -a^2b
by -ay -ab^2 =-a^2b
add ab^2 to each side
by-ay -ab^2 +ab^2 = ab^2 - a^2b
by-ay = ab^2 - a^2b
factor out the y on the left, factor out an ab on the right
y (b-a) = ab(b-a)
divide by (b-a)
y (b-a) /(b-a)= ab(b-a)/(b-a) b-a ≠0 or b≠a
y = ab
The 90% , 99% confidence interval for the population mean is 32.145 <
< 35.855 and 31.093 <
< 36.907
<h3>What is Probability ?</h3>
Probability is the study of likeliness of an event to happen.
It is given that
Total Population = 50
Mean = 35
The confidence interval is given by

is the mean
z is the confidence level value
s is the standard deviation
n is the population width
(a) The 90% confidence interval for the population mean
90%
= 0.05
Z = 1.64
34
1.64 * 8 / √50
34
1.855
32.145 <
< 35.855
(b) The 99% confidence interval for the population mean
99%
= 0.005
Z=2.57
34
2.57 * 8 / √50
34
2.907
31.093 <
< 36.907
Therefore the confidence interval for population mean has been determined.
The complete question is
A simple random sample of 50 items from a population width =7 resulted in a sample mean of 35. If required, round your answers to two decimal places.
a. Provide a 90% confidence interval for the population mean
b. Provide a 99% confidence interval for the population mean
To know more about Probability
brainly.com/question/11234923
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Given:
One linear function represented by the table.
Another linear function represented by the graph.
To find:
The greater unit rate and greater y-intercept.
Solution:
Formula for slope (unit rate):

From the given table it is clear that the linear function passes through (0,5) and (5,15). The function intersect the y-axis at (0,15), so the y-intercept is 15.



So, the unit rate of first function is 2.
From the given graph it is clear that the linear function passes through (0,6) and (-4,0). The function intersect the y-axis at (0,6), so the y-intercept is 6.



So, the unit rate of first function is
.
Now,


And,

Therefore, the greater unit rate of the two functions is 2. The greater y-intercept of the two functions is 15.
Answer:
2³
Step-by-step explanation:
8 = 2 × 2 × 2 = 2³
answer:
-4
Step-by-step explanation:
-3x+8= 20
-8 -8
-3x = 12
÷-3. = ÷-3
x = -4