Step-by-step explanation:
a) 1.16× 10^-6
standard form should be less than 10. therefore, count decimal places from where the decimal point is located to the right until you reach a number less than 10 ....count the number of shifts in the above is 6 shifts to the right. when moving to the right, power will be negative.(-6)
1.157/1.16 ×10^-6
b) 6.79 × 10^10
67890000000....count till a number less than 10.there will be 10 shifts to the left. the 10 will be your power,(positive) since u r moving to the left exponent is positive
6.789/6.79 × 10^10
In math, when you see the word "of" it usually means "times".
So the question is:
<u>2/3 times something = 10</u>
Multiply each side of the equation by 3 :
2 times something = 30
Divide each side by 2 :
<em> something = 15</em>
Answer:
Follows are the solution to this question:
Step-by-step explanation:
the confidence level for z:


Calculating the Margin of error:


The population means estimate a 95 % confidence interval is:

The inverse function of the function above is f(x) = 4x + 8
You can find the inverse to any function by switching the x and f(x) values. After that, solve for the new f(x) value. The result will be the inverse function. The step-by-step process for this one is done below for you.
f(x) = 1/4x - 2 ----> Start by switching the f(x) and x
x = 1/4f(x) - 2 ----> Now add 2 to both sides
x + 2 = 1/4f(x) ----> Now multiply both sides by 4
f(x) = 4x + 8
Now that you've solved it for the new f(x), you have your inverse function.