Answer:
The value of x = 18
Step-by-step explanation:
Given the data set
- Given that the median of the data is 18.
- We know that the median is the middle number in a data set when the data points are in ascending order.
As the given data is already in ascending order.
- Please observe that the data set has an odd number of data points, meaning that the middle number is the median of the data is 18.
As 'x' is the middle number, thus it represents the median value.
Therefore, the value of x = 18
The length of the fifth piece is 2 3/4 inches.
Given:
1st piece of wood = 1 1/2 inches
2nd piece of wood = 1 13/16 inches
3rd piece of wood = 2 1/8 inches
f(n) = 1st term + common difference(n-1)
To get the common difference, we need to deduct the fraction from its preceding fraction.
1st piece: 1 1/2 = (2*1 + 1)/2 = 3/2
2nd piece: 1 13/16 = (16*1+13)/16 = 29/16
3rd piece: 2 1/8 = (8*2+1)/8 = 17/8
29/16 - 3/2 = 29/16 - (3/2 * 8/8) = 29/16 - 24/16 = (29-24)/16 = 5/16
17/8 - 29/16 = (17/8 *2/2) - 29/16 = 34/16 - 29/16 = (34-29)/16 = 5/16
Find: 5th piece's measurement
1st term : 1 1/2 or 3/2
common difference : 5/16
f(5) = 3/2 + 5/16 (5-1)
= 3/2 + 5/16 (4)
= 3/2 + (5*4)/16
= 3/2 + 20/16
= (3/2 * 8/8) + 20/16
= 24/16 + 20/16
= (24 + 20)/16
f(5) = 44/16
f(5) = 2 12/16 simplified to 2 3/4 inches.
Answer:
f(3) just means to substitute 3 in for x.
Step-by-step explanation:
f(3) just means to substitute 3 in for x.
f
(
3
)
=
−
2
Explanation:
f
(
3
)
=
−
(
3
)
2
+
7
According to the order of operations, first square the 3, which is 9.
f
(
3
)
=
−
9
+
7
The negative sign in front of the x squared is equivalent to multiplying by negative one.
Add -9 and 7 together, which is -2
So,
f
(
3
)
=
−
2
You use the butterfly method:
360 24
___ ___
X 100
multiply 360 by 100 to get 36000
then divide by 24 to get 1500
Answer:
d
Step-by-step explanation:
