Percent decrease : (original number - new number) / original number)...x 100
(13.00 - 7.50) / 13.00 = 5.5/13 = 0.42....x 100 = 42% decrease
Answer:
A unit of measurement is a specific magnitude of a certain quantity that is specified and recognized by convention or legislation and is commonly used as a standard for measuring the same kind of quantity. We would randomly confuse the computations if the unit system was not given to the measurements.
Step-by-step explanation:
Example: If someone wrote 200 as a response to a question on a piece of paper. But You neglected to mention the measuring units. Anyone can mistake it because there are no units written apart from the number (unit less). Complications multiply. It's impossible to say whether it's 200 m or 200 g. 200 milliliters? 200 kilometers, 200 seconds, or 200 meters? It's possible to guess anything. We should always utilize units to be specific about the answer to any problem. This will assist in narrowing down the approach to any challenge and providing a measurable linked quantity regarding the topic in question.
Answer:
a. E(x) = 3.730
b. c = 3.8475
c. 0.4308
Step-by-step explanation:
a.
Given
0 x < 3
F(x) = (x-3)/1.13, 3 < x < 4.13
1 x > 4.13
Calculating E(x)
First, we'll calculate the pdf, f(x).
f(x) is the derivative of F(x)
So, if F(x) = (x-3)/1.13
f(x) = F'(x) = 1/1.13, 3 < x < 4.13
E(x) is the integral of xf(x)
xf(x) = x * 1/1.3 = x/1.3
Integrating x/1.3
E(x) = x²/(2*1.13)
E(x) = x²/2.26 , 3 < x < 4.13
E(x) = (4.13²-3²)/2.16
E(x) = 3.730046296296296
E(x) = 3.730 (approximated)
b.
What is the value c such that P(X < c) = 0.75
First, we'll solve F(c)
F(c) = P(x<c)
F(c) = (c-3)/1.13= 0.75
c - 3 = 1.13 * 0.75
c - 3 = 0.8475
c = 3 + 0.8475
c = 3.8475
c.
What is the probability that X falls within 0.28 minutes of its mean?
Here we'll solve for
P(3.73 - 0.28 < X < 3.73 + 0.28)
= F(3.73 + 0.28) - F(3.73 + 0.28)
= 2*0.28/1.3 = 0.430769
= 0.4308 -- Approximated
Answer:
17 and 3/8 inches
Step-by-step explanation:
..............................
(34+3/8)/2=17+3/16
plz....
mark it as a brilliant answer
It's a lot like solving equations.
3b-7 < 32
Add 7 to each side.
3b < 39
Divide by 3 on each side.
b < 13
Hope this helps :)
