Answer:
2,157.89 KWH is the upper bound of the interval estimate for the population mean.
Step-by-step explanation:
We are given the following in the question:
Sample mean, 
= 2,000 KWH
Sample size, n = 33
Alpha, α = 0.01
Population standard deviation, σ = 106 KWH
99% Confidence interval:
Putting the values, we get,
2,157.89 KWH is the upper bound of the interval estimate for the population mean
I’m not very good at explaining but if we explain from the beginning the equation is y=m(x)+b and m means the slope while b means y- intercept so all you have to do is substitute these variables with the numbers in the problem basically it would be y=10x+10 also the picture attached is how you graph it. Hope this helped:)
Answer:
2(4x+1)
Step-by-step explanation:
We can factor out 2 in both parts to get that.
Answer:the total number of horses in the herd is 36
Step-by-step explanation:
Let x represent the total number of horses in the herd.
One fourth of the herd of horses was seen in the forest. This means that the number of horses that was seen in the forest would be
1/4 × x = x/4
Twice the square root of the herd had gone to the mountain slopes. This means that the number of horses that had gone to the mountain slopes would be
2 × √x = 2√x
Three times five horses remained on the riverbank. This means that the number that remained would be
3 × 5 = 15
Therefore
x/4 + 2√x + 15 = x
x - x/4 - 15 = 2√x
(4x - x - 60)/4 = 2√x
(3x - 60)/4 = 2√x
Cross multiplying,
3x - 60 = 8√x
Squaring both sides of the equation, it becomes
(3x - 60)(3x - 60) = 64x
9x² - 180x - 180x + 3600 = 64x
9x² - 360x - 64x + 3600 = 0
9x² - 424x + 3600 = 0
Applying the quadratic equation
x = (- b ±√b² - 4ac)/2a
x = ( - - 424 ± √-424² - 4(9 × 3600)/2 × 9
x = (424 ± √179776 - 129600)/18
x = (424 ±√50176)/18
x = (424 + 224)/18 or
x = (424 - 224)/18
x = 36 or x = 11.11
the number of horses must be whole number. Therefore, the number of horses is 36
The slope-intercept form of (-5,2) (-5,-1) is undefined
<u>Solution:</u>
Need to find the slope intercept form of line passing through two point (-5,2) (-5,-1).
Slope intercept form of line passing through 
is given by
On Substituting the values we get the slope intercept form of given points,
= undefined
Hence the slope intercept form of given points is undefined
