Answer:
[300.202 , 329.798]
Step-by-step explanation:
The 95% confidence interval is given by the interval
![\large [\bar x-t^*\frac{s}{\sqrt n}, \bar x+t^*\frac{s}{\sqrt n}]](https://tex.z-dn.net/?f=%5Clarge%20%5B%5Cbar%20x-t%5E%2A%5Cfrac%7Bs%7D%7B%5Csqrt%20n%7D%2C%20%5Cbar%20x%2Bt%5E%2A%5Cfrac%7Bs%7D%7B%5Csqrt%20n%7D%5D)
where
<em>is the sample mean </em>
<em>s is the sample standard deviation </em>
<em>n is the sample size (n = 7) </em>
is the 0.05 (5%) upper critical value for the Student's t-distribution with 6 degrees of freedom (sample size -1), which is <em>an approximation to the Normal distribution for small samples (n<30).</em>
Either by using a table or the computer, we find

and our 95% confidence interval is
![\large [315-2.447*\frac{16}{\sqrt{7}}, 315+2.447*\frac{16}{\sqrt{7}}]=\boxed{[300.202,329.798]}](https://tex.z-dn.net/?f=%5Clarge%20%5B315-2.447%2A%5Cfrac%7B16%7D%7B%5Csqrt%7B7%7D%7D%2C%20315%2B2.447%2A%5Cfrac%7B16%7D%7B%5Csqrt%7B7%7D%7D%5D%3D%5Cboxed%7B%5B300.202%2C329.798%5D%7D)
Answer:
The sum of the money shared is $1372
Step-by-step explanation:
The given ratio is
Albert:Michael:Moses=3:5:6
The total ratio is 3+5+6=14
Let the sum of money shared be $x.
Then Albert's share = 3/14 x
= 3
/ 14
Michal's Share = 5x/14
If Michael received $196 more than Albert, then the difference between their share is the $196.
According to the given information, the equation represents a line that is tangent to the circle and goes through the point W is given by:
y = -x + 6.
<h3>What is the equation of the circle?</h3>
The equation of a circle of center
and radius r is given by:

In this problem, we have that the center is at point (0,2), hence:

It goes through point (3,3), hence:


Hence, the equation is:

<h3>What is the equation of the tangent line at point W?</h3>
It is given by:

Applying implicit differentiation, we have that:


Point W(3,3), hence:


Hence the equation is:
y - 3 = -(x - 3).
y = -x + 6.
More can be learned about the equation of a tangent line at brainly.com/question/8174665
Answer:
...
Step-by-step explanation:
2. 5.25, because the radius is half the diameter
3. 3 in because the diameter is 2x the radius
4. i.dk this one sorry
Answer:
x = 11
Step-by-step explanation:
(x+5)2 = 32
2x + 10 = 32
2x = 32 - 10
2x = 22
x = 11