Answer:
B. No, this distribution does not appear to be normal
Step-by-step explanation:
Hello!
To observe what shape the data takes, it is best to make a graph. For me, the best type of graph is a histogram.
The first step to take is to calculate the classmark`for each of the given temperature intervals. Each class mark will be the midpoint of each bar.
As you can see in the graphic (2nd attachment) there are no values of frequency for the interval [40-44] and the rest of the data show asymmetry skewed to the left. Just because one of the intervals doesn't have an observed frequency is enough to say that these values do not meet the requirements to have a normal distribution.
The answer is B.
I hope it helps!
Step-by-step explanation:
V = (12*4*5) + (2*3*5) + (5*3*5) + (12*4*5)
V = 240 + 30 + 75 + 240
V = 585 cm^3
<u>Corrected Question</u>
Garth buys 24 kilograms of candy. He then repacks the candy into small bags of 3/4 kilogram each. How many bags does he pack?
Answer:
C. 32 bags
Step-by-step explanation:
Total Weight of Bag bought =24 kilograms
Since Garth wants to repack the candy into small bags of 3/4 kg, we simply divide 24 by 3/4 to obtain the number of small bags.
There will be 32 small bags of 3/4 kg.
The correct option is C.
Answer:
Step-by-step explanation:
Law of Sines recall Sin(A) /a = Sin(B) /b
does the above make sense?
Next we need to find the angle of A
notice that 16+75=91 :o
so angle A is only 89° ..(b/c all the way around then inside of a triangle is 180) so this is NOT a right triangle but that's okay, b/c law of sines still works fine.
then we want to find length of line AB
and if 89 = A then a = BC
and if 75 = B the b = AB (note that in the given triangle this is angle C, i'm using B , b/c you can see the difference between capital B and lower case b much easier than you can with C, & c :/ )
capitals are the angles while lower case are the length of the sides
then
Sin(89) / 29 = Sin(75) / b
solve the parts that can be put into numbers or solve for 'b' first, that means isolate 'b' all by itself on one side of the equal sign .
0.034477 = 0.965925/ b
b = 0.965925 / 0.034477
b = 28.0165
b = 28.0 ( to the nearest 10th)
we have the parts to plug in now
Sin(75) /
Answer:
Side length = cm , Height = cm , Volume = cm³
Step-by-step explanation:
Assume
Side length of base = x
Height of box = y
total material required to construct box = A ( given in question)
So it can be written as
A = x² + 4xy
4xy = A - x²
Volume of box = Area x height
V = x² ₓ y
V = x² ₓ ( )
V =
To find max volume put V' = 0
So taking derivative equation becomes
A = 3
=
x =
put value of x in equation 1
y =
y =
y =
So the volume will be
V = × y
Put values of x and y from equation 2 & 3
V =
V =