Answer:
x=17
Step-by-step explanation:
Since the triangles are congruent, the angles are equal
I≅ P
3x+4 = 72-x
Add x to each side
3x+4+x = 72-x+x
4x+4 = 72
Subtract 4 from each side
4x+4-4 = 72-4
4x= 68
Divide by 4
4x/4 = 68/4
x = 17
Using the t-distribution to build the 99% confidence interval, it is found that:
- The margin of error is of 3.64.
- The 99% confidence interval for the population mean is (19.36, 26.64).
<h3>What is a t-distribution confidence interval?</h3>
The confidence interval is:

In which:
is the sample mean.
- s is the standard deviation for the sample.
The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 21 - 1 = 20 df, is t = 2.086.
The other parameters are given as follows:

The margin of error is given by:

Hence the bounds of the interval are:


The 99% confidence interval for the population mean is (19.36, 26.64).
More can be learned about the t-distribution at brainly.com/question/16162795
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Answer:
The area of the clock 
Step-by-step explanation:
We have been given the face of the clock that is 
So that is also the circumference of the clock.
Since the clock is circular in shape.
So 
From here we will calculate the value of radius
of the clock that is circular in shape.
Then 
Now to find the area of the clock we will put this value of (r) in the equation of area of the circle.
Now 
So the area of the face of the clock =
Answer:
discriminant is zero (0)
Step-by-step explanation:
Actually, you have a double root here: {6, 6}: "two real, equal roots." That tells us immediately that the value of the discriminant was zero (0).