Answer:
Add 7 black beads
Step-by-step explanation:
Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.
There are three white beads in the picture.
Total beads we will have (<em>b</em> meaning black) b : 3
Ratio black : white beads 3 : 1
Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.
Find common ratio by dividing total by ratio white beads: 3/1 = 3
Multiply ratio black beads by common ratio. 3 X 3 = 9
<u>We need 9 black beads in total</u>.
Check answer
9 : 3 Both sides divisible by 3; reduce ratio
= 3 : 1 Correct ratio
There will be a total of 9 black beads, but we already have 2 black beads:
(9 total) - (2 original) = (7 to add)
Therefore we need to add 7 black beads.
Answer:
3.77
Step-by-step explanation:
Do 13.85-9.08 and
u get 3.77
An outlier is a datapoint outside of the first or third quartile +/- 1.5 the inter quartile range
25 33 39 40 41 41 45 46 48 49 51 52 67 73 79
46 is at the center-> median
everything left of it:
25 33 39 40 41 41 45
40 at center=Q1
right of Q2:
48 49 51 52 67 73 79
52 at center=Q3
IQR=Q3-Q1=52-40=12
Q1-1.5*IQR=40-1.5*12=40-18=22
Q3+1.5*IQR=52+1.5*12=52+18=60
so everything <22 or >60 are outliers
so 67,73 and 79 are outliers
Answer:
V= 392 ft^3
Step-by-step explanation:
We know that the volume V of a pyramid is one-third the area of the base B times the height h.
If h= 8ft and areabase = 7ft x 7ft = 49 ft^2.
Then, the Volume V is:
V = areabase x height = 49 ft^2 x 8ft = 392 ft^3
So the solution is option D.
Answer:
Read explanation
Step-by-step explanation:
Use elimination
Add them all up
y = 1 ( everything else cancels )
-2x + 2(1) + z = 14
3x - 2(1) + z = -5
-x +(1) - 2z = -8
simplify
-2x + z = 12
3x + z = -3
-x -2z = -9
U can't use elimation because it would turn into 0 = 0
change last equation
x + 2z = 9
x = -2z + 9
plug that in
-2(-2z+9) + z = 12
3(-2z+9) + z = -3
-(-2z+9) - 2z = -9
4z - 18 = 12
-6z + 27 + z =-3
2z - 9 - 2z = -9
simplify
4z = 30
-5z = -30
0 = 0
z = 6
y = 1
x = -3
