Answer:
And we can find this probability using the normal standard table or excel:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the amount of ml of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard table or excel:
True. The midsegment of a triangle is halfway up the triangle, and since the top half and the full triangle are similar triangles, its dimensions are proportional.
This means half the height will give half the base (midsegment). So the midsegment is always half the length of the side it's parallel to.
Carla = 5 years old
Jim = 2 years old
Peter = 15 years old
(Peter was 14 years old one year ago)
5+2=7
7x2=14 (14 is the age from one year ago meaning 15 is the current age)
15-2=13
Answer:
72 mles
Step-by-step explanation:
For better understanding, I'll make use of an attachment.
From the attachment,
O represents the start point
--- Jack
-- Distance between them
Required
Find OA; Jack's distance
To do this, we make use of Pythagoras theorem

This gives:


Subtract 900 from both sides


Take square roots


<em>Hence, Jill drove 72 miles</em>
Answer: 28.33 Celsius and 301.483 Kelvin
83°F − 32) × 5/9 = 28.333°C
(83°F − 32) × 5/9 + 273.15 = 301.483K