Answer:
Mean = 8
Variance = 22
Standard deviation = 4.6904
Step-by-step explanation:
To find out Mean the formula is : total sum of data set / number of values
(11 + 11 + 3 + 1 + 11 + 11) / 6 = 48 / 6 = 8
Mean = 8
Now for variance we will form a table
x 11 11 3 1 11 11
(x - Mean) 3 3 -5 -7 3 3
(x - Mean)² 9 9 25 49 9 9
Now we the formula of variance =
Variance = (9+9+25+49+9+9)/(6-1) = 110/5 = 22
Variance = 22
Now we know Standard deviation = √(variance)
Therefore standard deviation = √22 = 4.6904
Hope this helps!<3
Answer:
B
Step-by-step explanation:
The cylindrical part
Area of the cylindrical part = Circumference of the circle * height
Area of the cylindrical part = pi * d * height
Area = 3.14 * 10 * 9
Area = 282.6
Lid
Area = pi * r^2
r = 5
Area = 3.14* 5^2 * 2
Area = <u> 157</u>
Total 439.6
I know this doesn't look right according to the diagram, but it is the only way that you can solve the question. That is, you must assume there are two lids, not one as the diagram suggests.
Answer:
3/4
Step-by-step explanation:
With regards to the above, since 1/4 of the volunteers are teenagers, the fraction of the volunteers would be
= 1 - 1/4
= 3/4
It therefore means that 3/4 of the volunteers are teenagers.
Answer:
The cost of the 1 muffin is $1.5 and 1 quart of milk cost is $3 .
Step-by-step explanation:
Let us assume that the cost of one muffins be x.
Let us assume that the cost of one 1 quarts of milk be y.
As given
The cost of 8 muffins and 2 quarts of mil is $18.
Than the equation becomes
8x + 2y = 18
As given
The cost of 3 muffins and 1 quart of milk is $7.50.
Than the equation becomes
3x + 1y = 7.50
Two equations are
8x + 2y = 18 and 3x + 1y = 7.50
Multiply 3x + 1y = 7.50 by 2 and subtracted from 8x + 2y = 18 .
Thus
8x - 6x + 2y - 2y = 18 - 15
2x = 3
x = 1.5
Put x = 1.5 in 3x + 1y = 7.50
3 × 1.5 + y = 7.50
y = 7.50 - 4.5
y = 3
Therefore the cost of the 1 muffin is $1.5 and 1 quart of milk cost is $3 .
<h3><u><em>My friends the answer is:
</em></u></h3><h3><u><em>
x-intercept(s): (
3
,
0
)
</em></u></h3><h3><u><em>y-intercept(s): (
0
,
6
) </em></u></h3>
