Answer:
1=2p+3
2=
Step-by-step explanation:
Answer:
, two mathematicians, Andrew Sutherland of MIT and Andrew Booker of Bristol, have jointly proven that 42 is indeed the sum of three cubes. For years, mathematicians have worked to demonstrate that x3+y3+z3 = k, where k is defined as the numbers from
Using the Central Limit Theorem, nothing can be stated about the shape of the sampling distribution for the sample mean, as the sample size is less than 30.
<h3>What does the Central Limit Theorem state?</h3>
It states that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.
In this problem, we have a skewed variable and n < 30, hence nothing can be stated about the shape of the sampling distribution for the sample mean.
More can be learned about the Central Limit Theorem at brainly.com/question/16695444
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Answer:
the equation of the circle is

Step-by-step explanation:
Recall that the equation of a circle is given by
where r is the radius, and (h,k) is the center. Recall that given two points that are the endpoints of a diameter, the center of the circle is their correspondent midpoint. Also, recall that given points (a,b), (c,d) their midpoint is obtained by 
In this case we are given the endpoints (-1,-9), (5,1). So the center of the circle is the midpoint obtained by
. Recall that the radius of a circle is the distance from the radius to any of the points of the circle. So, the radius is the distance between the center and the point (-1,-9). We will calculate r^2, by using the distance formula. REcall that the distance between points (a,b), (c,d) is given by
. So, its square is
.
In our case,

So, the equation of the circle is

Answer:
They baked 54 brownies
Step-by-step explanation:
We have a total of b brownies
Then we threw away 24
b-24
Then we split them between the 3 siblings
(b-24)/3
Everyone got 10
(b-24)/3 =10
Solve for b
(b-24)/3 =10
Multiply by 3 on each side
(b-24)/3 *3 =10*3
b-24 = 30
Add 24 to each side
b-24+24 = 30+24
b = 54
They baked 54 brownies