Dependent variables: A variable whose value depends on the value of another variable or variables
independent variable: A variable whose value determines the value of another variable or variables
We know, Point slope form is written as:
y - y₁ = m(x - x₁)
First, We need to Calculate the slope:
m = (y₂ - y₁) / (x₂ - x₁)
m = (2 - 1) / (-3-2)
m = 1/-5
m = -1/5
Take any one of them: Let's take (-3, 2) as our coordinate:
y - 2 = m(x - (-3))
y - 2 = -1/5(x + 3)
In short, Your Answer would be Option D
Hope this helps!
Using translation concepts, we have that:
- The new profit equation is f(x) = (8s/3) - 20, which is a vertical stretch by a factor of 2 of the graph of f(s).
- Selling 300 shirts, the new profit is of $780.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the profit function is given by:
f(s) = 4/3s - 20
To double the function, we multiply the slope by 2, hence the new profit equation is:
f(s) = 8/3s - 20.
This new function is a vertical stretch by a factor of 2 of the graph of f(s).
The new profit selling 300 shirts is given by:
f(300) = (8/3) x 300 - 20 = 8 x 100 - 20 = $780.
More can be learned about translation concepts at brainly.com/question/28373831
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Answer:
no
yes
no
no
yes
no
Step-by-step explanation:
I hope that this helps, but I'll pass on the "blessed day" considering I'm satanic lol
Answer:
(1) The correct answer is option (a) 0.510
(2) The correct answer is option (b) = 0.9664
(3) The correct answer is option (a) 0.8665
Step-by-step explanation:
1. Find attached of question 1
2.
n= 850
p= 0.1400
here mean of distribution(μ) =n*p
=850* 0.1400
= 119
standard deviation σ = √(np(1-p))
= √(850*0.1400(1-0.1400))
= √102.34
=10.1163
for normal distribution z score =(X-μ)/σx
therefore from normal approximation of binomial distribution and continuity correction:
probability = P(X>100.5)
= P(Z>-1.83)
= 1-P(Z<-1.83)
= 1-0.0336
= 0.9664
3.
n = 1000
p = 0.08
mean of distribution(μ) =np
= 1000*0.08
= 80
and standard deviation σ=√(np(1-p))
= √(1000*0.08(1-0.08))
= √736
= 8.5790
probability = P(X>70.5)
= P(Z>-1.11)
= 1-P(Z<-1.11)
= 1-0.1335
= 0.8665
