Answer:
The probability that can afford to spend between $800 and $900
P(800≤X≤900) = 0.6826
The percentage of that can afford to spend between $800 and $900
P(800≤X≤900) = 68 percentage
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the mean of the Normal distribution = $850
Given that the standard deviation of the Normal distribution = $50
Let 'X' be a random variable in a normal distribution
Let x₁ = 800
![z_{1} = \frac{x_{1}-mean }{S.D} = \frac{800-850}{50} = -1](https://tex.z-dn.net/?f=z_%7B1%7D%20%3D%20%5Cfrac%7Bx_%7B1%7D-mean%20%7D%7BS.D%7D%20%3D%20%5Cfrac%7B800-850%7D%7B50%7D%20%3D%20-1)
Let x₂ =850
![z_{2} = \frac{x_{2}-mean }{S.D} = \frac{900-850}{50} = 1](https://tex.z-dn.net/?f=z_%7B2%7D%20%3D%20%5Cfrac%7Bx_%7B2%7D-mean%20%7D%7BS.D%7D%20%3D%20%5Cfrac%7B900-850%7D%7B50%7D%20%3D%201)
<u><em>Step(ii):-</em></u>
The probability that can afford to spend between $800 and $900
P(800≤X≤900) = P(-1≤Z≤1)
= P(Z≤1) - P(Z≤-1)
= 0.5 + A(1) - (0.5 - A(-1))
= A(1) +A(-1)
= 2× A(1) (∵ A(-1) =A(1)
= 2 × 0.3413
= 0.6826
The percentage of that can afford to spend between $800 and $900
P(800≤X≤900) = 68 percentage
Step-by-step explanation:
#12)
1 5/8= 8x1 = 8 + 5 = 13
13/8 = 13÷8 = 1.625 and it not a repeating decimal
#13)
5/6 = 5 ÷ 6 = 0.833333 and is a repeating decimal
<em /><em /><em /><em />ms<u /><u /><u /><u /><u>re</u><u> that the answer </u><u>s 2,500</u>
The expression 3 + x = 11 is an equivalent equation of a model
The solution to the equation is x = 8
<h3>How to solve the equation</h3>
The equation is given as:
3 + x = 11
Subtract 3 from both sides of the equations
-3 + 3 + x = -3 + 11
Evaluate the expression on the right-hand side
-3 + 3 + x = 8
Evaluate the expression on the left-hand side
x = 8
Hence, the solution to the equation is x = 8
Read more about equations at:
brainly.com/question/4344214
Answer:
y-2=3(x-8) or y=3x-22
Step-by-step explanation:
Point slope form is y-y1=m(x-x1)
Here, y1 is 2 and x1 is 8 because of the ordered pair given. The slope, m, is 3. When you put those into the equation, you get y-2=3(x-8). Depending on whether you want to simplify that, the answer could also be y=3x-22 (distribute the 3 and you get y-2=3x-24, add the two and voila!) Hope this was useful! :)