123 - Use PEMDAS but since you have both division and multiplication you can just go from left to right
Answer:
The standard deviation for the income of super shoppers is 76.12.
Step-by-step explanation:
The formula to compute the standard deviation for the grouped data probability distribution is:
![\sigma=\sqrt{\sum [(x-\mu)^{2}\cdot P(x)]}](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7B%5Csum%20%5B%28x-%5Cmu%29%5E%7B2%7D%5Ccdot%20P%28x%29%5D%7D)
Here,
<em>x</em> = midpoints

Consider the Excel table attached below.
The mean is:

Compute the standard deviation as follows:
![\sigma=\sqrt{\sum [(x-\mu)^{2}\cdot P(x)]}](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7B%5Csum%20%5B%28x-%5Cmu%29%5E%7B2%7D%5Ccdot%20P%28x%29%5D%7D)

Thus, the standard deviation for the income of super shoppers is 76.12.
Answer:
so, the equation of the line shown is y=2x-1
if the equation you are trying to write has a y-intercept of 4, the equation would be y=2x+4
Hope that helps ya!
Answer:
The equation of the line is y = x + 1
Step-by-step explanation:
The equation of the line is y = m x + b, where
- m is the slope of the line
The rule of the slope of the line is m =
, where
- (x1, y1) and (x2, y2) are two points on the line
∵ The line passes through points (3, 4) and (-4, -3)
∴ x1 = 3 and y1 = 4
∴ x2 = -4 and y = -3
→ Substitute them in the rule of the slope above to find it
∵ m =
=
= 1
∴ m = 1
→ Substitute it in the form of the equation above
∴ y = 1(x) + b
∴ y = x + b
→ To find b substitute x by 3 and y by 4 in the equation
∵ 4 = 3 + b
→ Subtract 3 from both sides
∵ 4 - 3 = 3 - 3 + b
∴ 1 = b
→ Substitute it in the equation
∴ y = x + 1
∴ The equation of the line is y = x + 1
Answer:

Step-by-step explanation:
We can find the side of the hypotenuse by applying pythagorean theorem.




Now we can apply pythagorean theorem on the other triangle




