Answer:
y - 5 = 2(x + 2)
General Formulas and Concepts:
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate
y₁ - y coordinate
m - slope
Step-by-step explanation:
<u>Step 1: Define</u>
Slope <em>m</em> = 2
Point (-2, 5)
<u>Step 2: Create equation</u>
y - 5 = 2(x + 2)
Vera has 5 pairs of necklaces and wants to own 22 pairs. That means she needs to purchase 17 pairs at $1 per pair.
Vera needs to spend $17.
Answer:
128π or 402.12
Step-by-step explanation:
Vol of a sphere = 4/3πr³
Sub 2 into ^
Multiply by 12 to find vol of all 12 shapes
This is the volume of water needed
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
![\mu=\sum x\cdot P(x)](https://tex.z-dn.net/?f=%5Cmu%3D%5Csum%20x%5Ccdot%20P%28x%29)
Consider the Excel table attached below.
The mean is:
![\mu=\sum x\cdot P(x)=32.3](https://tex.z-dn.net/?f=%5Cmu%3D%5Csum%20x%5Ccdot%20P%28x%29%3D32.3)
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)
![=\sqrt{259.71}\\\\=76.1155204\\\\\approx 76.12](https://tex.z-dn.net/?f=%3D%5Csqrt%7B259.71%7D%5C%5C%5C%5C%3D76.1155204%5C%5C%5C%5C%5Capprox%2076.12)
Thus, the standard deviation for the income of super shoppers is 76.12.
Answer:
y is less than or equal to 1 OR y is greater than or equal to 6
Step-by-step explanation: