Answer:
The confidence level for a confidence interval of 46.4% to 47.6% is 99.7%.
Explanation:
First of all, the choices for this question are missing so I will include the ones I found for this exact question. The missing options are as follows:
A. 85% B. 95% C. 68% D. 99.7%
When it comes to statistics, a confidence interval (CI) is a type of interval estimate of a population parameter. Statistics is all about drawing conclusions in the face of uncertainty. Whenever you take a sample, you can’t be completely certain that your sample truly reflects the population it’s drawn from.
In conclusion, from the choices presented, the best option is the last one. Option D.
Answer:
She should make a rectangle with dimensions 14.4 cm by 4.2 cm.
Step-by-step explanation:
- The diagonal of a rectangle is represented by
. - Area of rectangle is = length×width
- Perimeter of a rectangle = 2(length+width).
Assume x be the width of the rectangle.
The length of the rectangle is to be 6 cm more than twice the width.
The length of the rectangle is= (2x+6) cm
Then the diagonal of the rectangle is 


cm
According to the problem,

Squaring both sides




⇒5x²+45x-21x-189=0
⇒5x(x+9)-21(x+9)=0
⇒(x+9)(5x-21)=0
⇒x+9=0 or, 5x-21=0

⇒x= -9, 4.2
Since the width of a rectangle can not negative.
So, x=4.2 cm
The width of rectangle is = 4.2 cm
The length of the rectangle is =(2×4.2+6)
=14.4 cm
She should make a rectangle with dimensions 14.4 cm by 4.2 cm.
Answer:
2 runners will be needed
Step-by-step explanation:
1/2 = 2/4
2/4 / 1/4 = 2
2 runners, for 1/2 mile
Isolate the variable by dividing each side by factors that don't contain the variable.
x = −1
Answer:
5.495 inches.
Step-by-step explanation:
We have been given that Monet measures the diameter of an Oreo and finds that each cookie is 1.75 inches across. We are asked to find the circumference of an Oreo.
We know that circumference of circle is equal to
, where r represents radius of circle.
We also know that diameter is 2 times radius.

Upon substituting
, we will get:

Using 3.14 as an estimation for π, we will get:


Therefore, the circumference of an Oreo would be 5.495 inches.