Using the z-distribution, it is found that the margin of error is of 0.059.
We are given the standard deviation for the population, hence the <em>z-distribution</em> is used.
<h3>What is the margin of error for a z-confidence interval?</h3>
It is given by:
In which:
is the population standard deviation.
In this problem, the parameters are:
.
- Confidence level of 0.90, hence, using a z-distribution calculator, the critical value is z = 1.645.
Then:
The margin of error is of 0.059.
You can learn more about the z-distribution at brainly.com/question/12517818
Answer:
The function is increasing for all real values of x where
x < –4.
Step-by-step explanation:
we have
This is a vertical parabola open downward (the leading coefficient is negative)
The vertex (h,k) represent a maximum
The roots of the function (or x-intercepts) are x=-6 and x=-2
The x-coordinate of the vertex is the midpoint of the roots
so
The y-coordinate of the vertex is
substitute the x-coordinate of the vertex in the quadratic equation
The vertex is the point (-4,4)
The function is increasing in the interval (-∞,-4)
The function is decreasing in the interval (-4,∞)
Answer:
<u>Diagram 1</u>
Draw a circle with a radius of 8 cm, ensuring you have clearly marked the center point (black circle with center C1)
Add a point on the circumference of the circle (point C2)
Draw a second circle of radius 8cm with point C2 as its center (red circle with center C2).
<u>Diagram 2</u>
The red circle intersects the black circle at two points (D and E).
Connect these 2 points of intersection with a line segment.
<u>Diagram 3</u>
Draw a third circle with center D and radius DE (shown in blue)
This circle intersects the black circle at point F.
<u>Diagram 4</u>
Draw 2 line segments to connect points D and E with point F - this is your equilateral triangle inside the circle!
Answer:
A. 729 cu in
Explanation:
Step 1: 9x9 = 81
Step2: 81x9 = 729
I think the answer is the second one, Tessa wasn't sure how far she would swim during the first class. She would swim 3 laps during the second class. The question is confusing, because the equation s+3 is supposed to be the DISTANCE she swam in 2 classes. The problem didn't specify that distance equals laps, but I think the answer is correct
