Answer:
The correct answer is "$159 and $175".
Step-by-step explanation:
The give values are:
Mean,
= $167
Standard deviation,
= $40
Number of commuters,
n = 100
Now,
⇒ 
On putting the given values, we get
⇒ 
⇒ 
⇒ 
By using the 2 SE rule of thumb, we get
= 
= 
= 
($)
Or,
= 
= 
= 
($)
i.e,
$159 and $175
Divide the total amount of olive oil by the amount packaged into an individual bottle.
1560 / 24 = 65 bottles per hour
Answer:
2 to the 40th power is conventionally written as 240, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 2^40. 109 9511627776. number or base 103 power, index, or exponent = 10 x 10 x 10 = 1,000. Writing 2 as a factor one million times would be a very time-consuming and tedious task. A better way to approach this is to use exponents. Exponential notation is an easier way to write a number as a product of many factors. Index Notation and Powers of 10. The exponent (or index or power) of a number says. how many times to use the number in a multiplication. 102 means 10 × 10 = 100. (It says 10 is used 2 times in the multiplication)
0, 1, 2
all are less than 24
Answer:
100
Step-by-step explanation:
First we find the mean of this set of data. We find the mean by finding the sum of data values and dividing it by the number of data values:
5+10+10+10+10+10+10+15 = 80
There are 8 data values; 80/8 = 10. The mean is 10.
To find the standard deviation, subtract the mean from each value; square the difference; add the squares; divide by the number of data values; and take the square root:
5-10 = -5; 10-10 = 0; 10-10 = 0; 10-10 = 0; 10-10 = 0; 10-10 = 0; 10-10 = 0; 15-10 = 5
(-5)^2 = 25; 0^2 = 0; 0^2 = 0; 0^2 = 0; 0^2 = 0; 0^2 = 0; 0^2 = 0; 5^2 = 25
25+0+0+0+0+0+0+25 = 50
50/8 = 6.25
√6.25 = 2.5
The standard deviation is 2.5.
This means two standard deviations, or 2σ, is 2(2.5) = 5.
This gives us μ-2σ = 10-5 = 5 and μ+2σ = 10+5 = 15.
Since all of our data is between 5 and 15, 100% is within two standard deviations of the mean.
