9514 1404 393
Answer:
A. b = 2/5f
Step-by-step explanation:
Andre's equation is in the form ...
b = kf
The value of k can be found by dividing by f:
b/f = k
For Priya's recipe, the values are ...
b/f = k = 3/7.5 = 2/5
Andre's equation is ...
For each, you'll use the slope formula
m = (y2-y1)/(x2-x1)
For function f, you'll use the two points (1,6) and (2,12) since x ranges from x = 1 to x = 2 for function f
The slope through these two points is
m = (y2-y1)/(x2-x1)
m = (12-6)/(2-1)
m = 6/1
m = 6
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For function g, you'll use (2,4) and (3,20)
The slope through these two points is
m = (y2-y1)/(x2-x1)
m = (20-4)/(3-2)
m = 16/1
m = 16
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For function h, you'll use (0,-6) and (2,-18). The y coordinates can be found by plugging in x = 0 and x = 2 respectively into h(x)
The slope through these two points is
m = (y2-y1)/(x2-x1)
m = (-18-(-6))/(2-0)
m = (-18+6)/(2-0)
m = (-12)/(2)
m = -6
-------------------------------------------
The order from left to right is: h, f, g
The probability that the plant manufactures a part between 10.8 and 12.8 centimeters 13%
<h3>How to find the probability that the part is between 10.8 and 12.8 centimeters</h3>
The probability is solved z scores, this measures the amount of standard deviation sample X is from mean. the formula is below
z = (X - μ) / σ
<u>Definition of variables</u>
mean, μ = 16.3 centimeters
standard deviation, σ = 2.5 centimeters
X = 10.8 and 12.8 centimeters
z score, z
substituting into the formula
for X = 12.8 centimeters
= (X - μ) / σ
= (12.8 - 16.3) / 2.5
= -1.4
the p value for z of -1.4 = 0.161513
for X = 10.8 centimeters
= (X - μ) / σ
= (10.8 - 16.3) / 2.5
= -2.2
the p value for z of -2.2 = 0.027807
the probability is calculated as below
0.161513 - 0.027807= 0.133706
= 0.13
=13%
Learn more about standard deviation at:
brainly.com/question/28948351
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Answer: Using the information of the conditional relative frequency table, 123 students in the survey said that math was their favorite subject.
Solution:
1. The survey was given to 120 male students.
Acconding with the table, the proportion of male students with Math as favorite subject is 0.35. The quantity of male students with Math as favorite subject would be:
0.35(120)=42 male students
2. The survey was given to 180 female students.
Acconding with the table, the proportion of female students with Math as favorite subject is 0.45. The quantity of female students with Math as favorite subject would be:
0.45(180)=81 female students
Then the total of students in the survey said that math was their favorite subject would be:
42 male students + 81 female students = 123 students
Answer:
An equation is linear if its graph forms a straight line. This will happen when the highest power of x is "1". Graphically, if the equation gives you a straight line then it is a linear equation. Else if it gives you a circle, or parabola or any other conic for that matter it is a quadratic or nonlinear equation.
Step-by-step explanation:
