Answer:
We are confident at 90% that the true mean for the amount spent on medicines is between (4568.96 and 4631.04)
Step-by-step explanation:
Information given
represent the sample mean for the amount spent on medicines
population mean
s=800 represent the sample standard deviation
n=1800 represent the sample size
Solution
The confidence interval for the true population mean is given by:
(1)
We can calculate the degrees of freedom with:
We know that the Confidence level is 0.90 or 90%, the value of significance is
and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,1799)".And we see that
Replcing in the formula for the confidence interval we got:
We are confident at 90% that the true mean for the amount spent on medicines is between (4568.96 and 4631.04)
3 times the 6th power of 10
Lets step by step convert the word form to an expression
You have to multiply 3 by the 6th power of 10, so
3 * 6th power of 10
In the 6th power of 10, 10 is the base and it is to the power of 6, so it can be reworded to 10 to the 6th power
or 
We have to multiply it by 3
So the written expression is
3 * 
Answer:
Solution given:
For 1st
x²=71
For x=±
and
For 2nd
x³=71
For x=±![\sqrt[3]{71}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B71%7D)
So answer is:
In first row
<u>Solution to x²=71</u>
In second row
<u>Solution to </u><u>x³</u><u>=71</u>
In third row
<u>neither</u>
In forth row
<u>Solution to x³=71</u>
Answer:
C
Step-by-step explanation:
A triangle always consists of it being 180 degrees. The box on the triangle on angle A depicts that it is a right angle, 90 degrees. And since Angle B is given at 45, angle C must be 45 degrees as well, since 180-45-90 (triangle angles=given angles for A and B) equal up to 45. When the angles beside the right angle is both identical and the same, the sides that correspond with that triangle is also the same. AC is given at 9 feet, and since Angle C and B both have the same angles, AB must ALSO be a 9ft.
Now, since we know the two sides, it is very easy to find BC, or the hypotenuse of the triangle, using the Pythagorean Theorem:
, where a and b are sides, and c is the hypotenuse (or the long end) of a right triangle.
We can plug both 9s in for a and b since they're both the same, and it should equal to
9^2+9^2=c^2.
9^2 is 9*9, and that is 81. We have two of these so add them together to find 162. Since c^2 is equal to 162, we would need to square root both sides so we can find a number that equals c.

We can either plug this into a calculator, and we should get something around 12.72, and that would be the same as C if you plug that value into a calculator.
You can also simplify the radical if you know how to. 162 is 81 times 2 (example) and 81 is 9*9, so we can add that to the outside and 2 is still under the radical. But this would only make sense if you know how to do that.
Answer:
1089525
Step-by-step explanation:
2985 is per day of bulbs and a year has 365 days
so we multiply bulbs by day and days in a year
which will give us 1089525