the answer is three look where it says 4-1 is 3
Answer:
D) b = 
Step-by-step explanation:
First, move all the terms that do not include b to the left side with S:
S = 2ab + 2bc + 2ac
S - 2ac = 2ab + 2bc
Now, factor out 2b from the right side:
S - 2ac = 2b(a + c)
Divide both sides by 2(a + c):
b = 
Finally, multiply out the denominator:
b = 
complete question:
Danila breeds peregrine falcons. She recorded the breadth (in mm) of each egg and the mass (in g) of the falcon
chick that hatched from it.
After plotting her results, Danila noticed that the relationship between the two variables was fairly linear, so she
used the data to calculate the following least squares regression equation for predicting the mass of the chick
from the breadth of the egg:
y = -47 + 2x
What is the residual of a 29 g falcon chick who hatches from an egg with a breadth of 40 mm ?
Answer:
residual = -4
Step-by-step explanation:
Residual is the difference between the actual mass of the falcon chick and the predicted mass of the falcon chick.
residual = actual - predicted
The square regression is used to evaluate the predicted mass of the falcon chick.
actual mass = 29 g
Predicted mass can be gotten from the regression line.
y = -47 + 2x
y = -47 + 2(40)
y = - 47 + 80
y = 33
Predicted mass of 40 mm breadth of egg from the regression line = 33 g
residual = actual - predicted
residual = 29 - 33
residual = -4
Answer:
27 games
Step-by-step explanation:
The probability of them winning is 3 out of 5 games.
First, multiply 45 by 


27 games.
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You could also just multiply 45 by 3 then divide by 5. Mostly the same thing
I hope this helps!
There are 20 blocks needed for tower A, and 43.75 blocks needed for tower B
From the tape diagrams, we have the following ratio
Prism : Pyramid = 4 : 1
From the table, we have:
Tower A = 16 prisms
So, the ratio becomes
16 : Pyramid = 4 : 1
Multiply the ratio on the right-side by 4
16 : Pyramid = 16 : 4
By comparison, we have:
Pyramid = 4
This means that, 4 pyramid blocks are needed for tower A
So, the total number of blocks needed is:
Total = Pyramid + Prism
This gives
Total = 4 + 16
Evaluate the sum
Total = 20
Hence, there are 20 blocks needed for tower A
For table B, we have:
Tower A = 35 prisms
So, the ratio becomes
35 : Pyramid = 4 : 1
Express as fractions

Multiply through by 35
Pyramid = 8.75
This means that, 8.75 pyramid blocks are needed for tower B
So, the total number of blocks needed is:
Total = 8.75 + 35
Evaluate the sum
Total = 43.75
Hence, there are 43.75 blocks needed for tower B
Read more about ratios at:
brainly.com/question/16981404