Answer:
B) 1.622 to 1.778 includes the mean of the population beta.
Step-by-step explanation:
We have the standard deviation for the sample, so the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom,which is the sample size subtracted by 1. So
df = 100 - 1 = 99
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 99 degrees of freedom(y-axis) and a confidence level of
. So we have T = 1.9842
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 1.7 - 0.078 = 1.622.
The upper end of the interval is the sample mean added to M. So it is 1.7 + 0.078 = 1.778.
Thus the correct answer is given by option B.
Answer:
The volume of cone is
unit³.
Step-by-step explanation:
<u>Solution</u> :
As per given question we have provided :
- ➝ Radius of cone = 4 units
- ➝ Height of cone = 10 units
Here's the required formula to find the volume of cone :

- V = Volume
- π = 3.14
- r = radius
- h = height
Substituting all the given values in the formula to find the volume of cone :











Hence, the volume of cone is 167.47 unit³.

Answer:
3. 523.3
4. 24416.64
Step-by-step explanation:
Answer:
A) 10
Step-by-step explanation:
Given:
Perimeter of rectangular backyard = 200 ft.
Width = 30 ft
Length = 
We need to find the value of x.
Now we know that perimeter of rectangle is equal to twice the sum of its length and width.
Framing in equation form we get;
Perimeter of Rectangle = 
Substituting the given values we get;

Using Addition Property we get;

Using Distributive property we get;

Now Using Subtraction property we will subtract 1800 on both side we get;

Now we will use division property and divide both side by 2 we get;

Hence The value of x is 10 ft.
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