Answer:
y-7 = 4(x+9)
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is the point
y-7 = 4(x--9)
y-7 = 4(x+9)
121 is big enough to assume normality and not worry about the t distribution. By the 68-95-99.7 rule a 95% confidence interval includes plus or minus two standard deviations. So 95% of the cars will be in the mph range
![(73 - 2 \cdot 11, 73 + 2 \cdot 11) = (51,95)](https://tex.z-dn.net/?f=%2873%20-%202%20%5Ccdot%2011%2C%2073%20%2B%202%20%5Ccdot%2011%29%20%3D%20%2851%2C95%29)
The question is a bit vague, but it seems we're being asked for the 95% confidence interval on the average of 121 cars. The 121 is a hint of course.
The standard deviation of the average is in general the standard deviation of the individual samples divided by the square root of n:
![\sigma = \dfrac{ 11}{\sqrt{121}} = 1](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%5Cdfrac%7B%2011%7D%7B%5Csqrt%7B121%7D%7D%20%3D%201)
So repeating our experiment of taking the average 121 cars over and over, we expect 95% of the averages to be in the mph range
![(73 - 2 \cdot 1, 73 + 2 \cdot 1) = (71,75)](https://tex.z-dn.net/?f=%2873%20-%202%20%5Ccdot%201%2C%2073%20%2B%202%20%5Ccdot%201%29%20%3D%20%2871%2C75%29%20)
That's probably the answer they're looking for.
Answer: 4(x+3)= 8x-12
Step-by-step explanation:
Answer: 28 years
Step-by-step explanation:
Given
The equation showing the value of the bag after x years is ![C=25(1.025)^x](https://tex.z-dn.net/?f=C%3D25%281.025%29%5Ex)
If the price of the bag increased by 2.5%, from the equation, we can deduce that
Initial cost of the bag is 25
Double of the initial value is 50
Insert it in the equation
![\Rightarrow 50=25(1.025)^x\\\Rightarrow 2=1.025^x\\\text{Taking natural log}\\\Rightarrow \ln 2=x\ln (1.025)\\\\\Rightarrow x=\dfrac{\ln 2}{\ln 1.025}\\\\\Rightarrow x=28.07\approx 28](https://tex.z-dn.net/?f=%5CRightarrow%2050%3D25%281.025%29%5Ex%5C%5C%5CRightarrow%202%3D1.025%5Ex%5C%5C%5Ctext%7BTaking%20natural%20log%7D%5C%5C%5CRightarrow%20%5Cln%202%3Dx%5Cln%20%281.025%29%5C%5C%5C%5C%5CRightarrow%20x%3D%5Cdfrac%7B%5Cln%202%7D%7B%5Cln%201.025%7D%5C%5C%5C%5C%5CRightarrow%20x%3D28.07%5Capprox%2028)
It will take 28 years
The area of the rectangle ACEG is the amount of space on it, and the area of square HJFG is 9 square units
<h3>How to determine the area of the figures?</h3>
The area of a rectangle is:
Area = Length * Width
The area of a square is:
Area = Length * Length
From the question, the given parameters are:
AB =AH = x ;
BC=5;
HG=3
This means that the area of square HJFG is:
Area = HG * HG
Area = 3 * 3
Area = 9
<em>Note that the other areas cannot be calculated because the question is incomplete</em>
<em />
Read more about areas at:
brainly.com/question/17335144
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