Answer:
d. The histogram would be approximately bell-shaped, and the normal quantile plot would have data points have follow a straight-line pattern.
Step-by-step explanation:
Since the variable is normally distributed, the histogram of women's height should be approximately bell shaped (if the data was obtained form a random sample).
Again, the variable is normally distributed, therefore, the quantile plot should follow a straight line pattern (a diagonal line to be more precise).
<span>1.Describe how the graph of y = x2 can be transformed to the graph of the given equation.
y = (x+17)2
Shift the graph of y = x2 left 17 units.
2.Describe how the graph of y= x2 can be transformed to the graph of the given equation.
y = (x-4)2-8
Shift the graph of y = x2 right 4 units and then down 8 units.
.Describe how to transform the graph of f into the graph of g.
f(x) = x2 and g(x) = -(-x)2
Reflect the graph of f across the y-axis and then reflect across the x-axis.
Question 4 (Multiple Choice Worth 2 points)
Describe how the graph of y= x2 can be transformed to the graph of the given equation.
y = x2 + 8
Shift the graph of y = x2 up 8 units.
Question 5 (Essay Worth 2 points)
Describe the transformation of the graph of f into the graph of g as either a horizontal or vertical stretch.
f as a function of x is equal to the square root of x and g as a function of x is equal to 8 times the square root of x
f(x) = √x, g(x) = 8√x
vertical stretch factor 8
Plz mark as brainlest</span>
Answer: 6/5
Step-by-step explanation:
When finding the reciprocal, we essentially just "flip" or take the inverse of the number we are given. For example, the reciprocal of 1/2 would be 2/1 or 2. The given number multiplied by the reciprocal should always equal 1. If it does, then we know we are correct.
In this case, we are finding the reciprocal of 5/6, so we "flip" the numerator and the denominator to get 6/5.
To check our work, we need to multiply our original number and its reciprocal.
5/6 x 6/5 = 30/30 = 1
Now, we know we are correct, that the reciprocal of 5/6 is 6/5.
<u>Information:</u>
Fixed Cost = $32,634
Variable Cost = $8.75 per book.
Selling Price = $24.50 per book.
<u>Define x:</u>
Let x be the number of books sold.
<u>Construct Equation:</u>
For production cost to be equal auto money from sales:
⇒ 24.5x = 32634 + 8.75x
<u>Solve x:
</u>
24.5x = 32634 + 8.75x
Take away 8.75x from both sides:
15.75x = 32634
Divide both sides by 15.75:
x = 2072
Answer: The publisher must sell 2072 books.
We can solve for the arc length using the formula shown below:
Arc Lenght = 2pi*r(central angle/360)
We need to convert the central angle such as:
Central angle = 23pi rad * (180°/pi rad) = 23*180
Radius = 24cm
Solving for arc length:
Arc length = 2*3.14 *24*(23*180/360)
Arc length = 1733.28 cm