Answer:
P=x/2.2
Step-by-step explanation:
We can create an equation to solve this.
Let the number of pounds be P
Let the number of kilograms be X
Now, we know that for 1 kilogram, there is 2.2 pounds.
Therefore if we have 1 kilogram (X) then we will have 2.2 pounds (P).
<u>X=2.2P</u>
All you have to do now is rearrange the equation to find the number of pounds in x kilograms. To do this divide both sides by 2.
Therefore you will get P=x/2.2
Answer:
$393.50+/-$19.72
= ( $373.78, $413.22)
Therefore, the 95% confidence interval (a,b) = ($373.78, $413.22)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = $393.50
Standard deviation r = $50.30
Number of samples n = 25
Confidence interval = 95%
z value(at 95% confidence) = 1.96
Substituting the values we have;
$393.50+/-1.96($50.30/√25)
$393.50+/-1.96($10.06)
$393.50+/-$19.7176
$393.50+/-$19.72
= ( $373.78, $413.22)
Therefore, the 95% confidence interval (a,b) = ($373.78, $413.22)
Answer: 25
Step-by-step explanation:
From the question, we are told that a producer of electronic book readers is performing a quality check to make sure that the reader's backlight is working correctly. Then, the plant manager tests 2,000 readers on Monday and finds that 8 have defective backlights. The fraction 1/x is the experimental probability of a book reader having a defective backlight. What is the value of x?
Number of tested readers= 2000
Defective backlight = 8
Probability of having a defective backlight will be the number of defective backlight divided by the number of readers tested. This will be:
= 8/200
We reduce the nice fraction to its lowest term.
8/200 = 1/25
Therefore x will be 25
Answer:
Smallest number = 3500
Step-by-step explanation:
Rounding of numbers involve replacing numbers with simpler numbers. In order to round a number to the nearest thousand, the last 3 digits of the number should be considered. If the last 3 digits are less than 500, the number is rounded down(the thousand figure is unaffected), but if the last 3 digits are greater or equal to 500, the number is rounded up.
In this case, Yuri is thinking of a 4-digit whole number and he rounds his number to the nearest thousand. Since his answer is 4000, the smallest number yuri could be thinking of would be 3500 and the highest number he could be thinking of is 4499.
Thus, the smallest number Yuri could be thinking of is 3500
If the adjusted ratio was 2:7, then
2x is the number of pull-ups
and
7x is the number of box jumps.
You can state that since he completed 63 box jumps at the end of his training, then
7x=63,
x=9
and
2x=18.
The total number of exercises performed is 2x+9x=18+63=81.
As at start the ratio was 5:4, then
5y was the number of pull-ups
and
4y was the number of box jumps.
Therefore, 5y+4y=81,
9y=81,
y=9
and 5y=45, 4y=36.
Answer: Initially: 45 pull-ups and 36 box jumps. At the end: 18 pull-ups and 63 box jumps.
