The probability that it is less than 11.9 inches long will be 0.11304.
<h3>What is the z-score?</h3>
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
A manufacturer knows that their items have a normally distributed length, with a mean of 14.2 inches, and standard deviation of 1.9 inches.
If one item is chosen at random.
Then the probability that it is less than 11.9 inches long will be
Then the z-score will be
z = (11.9 – 14.2) / 1.9
z = –1.21
Then the probability will be
P(x < 11.9) = P(z < –1.21)
P(x < 11.9) = 0.11304
More about the z-score link is given below.
brainly.com/question/15016913
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Answer:
3 is the answer
hope this helps
have a good day :)
Step-by-step explanation:
Answer:20.39
Step-by-step explanation:
This is the answer because 5.30/11.1=0.447 dollars per peso. Thus given 42.7pesos: Dollars = 0.447*42.7=20.39 dollars
Yes.
If you have a RIGHT triangle with a 29-degree angle in it, and you
divide the length of the leg adjacent to the angle by the length of the
hypotenuse, then it doesn't matter whether the triangle is drawn on
the head of a pin or on a piece of paper that reaches from the Earth
to the Moon, the quotient of (adjacent)/(hypotenuse) will always be
the same number ... about 0.875 .
That number is a property of every 29-degree angle, no matter the size
of the right triangle that it's in. It's called the cosine of 29 degrees.
If you were to divide the leg opposite the 29-degree angle (instead of
the adjacent leg) by the length of the hypotenuse, you'd get a different
number ... about 0.485 . That number is also a property of every 29-degree
angle, no matter the size of the triangle around it. That one is called
the sine of 29 degrees.
I just used 29 degrees as an example. Every angle has a sine and
a cosine, and a few other things too.
If you have an angle, there's no easy way to calculate its sine or its
cosine. You just have to look them up. They're in tables in books,
or on line (just put 'cosine 29' in Google), and if you have a calculator,
they're probably on your calculator too.
You don't know yet what these are good for, or what you can do with
them. That'll be coming up in math before you know it !
So the easiest answer to your question is:
Every angle has properties, characteristics, and aspects of its
personality that you never notice until you really get to know it.
They're called the sine, the cosine, the tangent, the cotangent,
the secant, and the cosecant. They're all numbers, and every
angle has a full set of them !
DENSITY = MASS/VOLUME:
OR VOLUME = MASS/DENSITY:
Volume = 315/10.5 = 30 cm³
