To solve quadratics, the most correct and effective way, in my opinion, is the quadratic formula:
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Plugging it in, we get:
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So the final answer is:
and
Answer:
b-2=n
Step-by-step explanation:
Answer:
Required Probability = 0.97062
Step-by-step explanation:
We are given that the weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 4016 grams and a standard deviation of 532 grams.
Let X = weight of the newborn baby, so X ~ N()
The standard normal z distribution is given by;
Z = ~ N(0,1)
Now, probability that the weight will be less than 5026 grams = P(X < 5026)
P(X < 5026) = P( < ) = P(Z < 1.89) = 0.97062
Therefore, the probability that the weight will be less than 5026 grams is 0.97062 .
Answer:
Step-by-step explanation:
Given
Tower one = 15.6 cm
Tower two = 18.3 cm
Tower 3 = 13.9 cm.
Required:
Height of the 4th tower
Represent a cube by X; a cylinder by Y and a hexagonal prism by Z
Tower one, a cube with a hexagonal prism = X + Z = 15.6
Tower two, a cube with a cylinder = X + Y = 18.3
Tower 3, a hexagonal prism with a cylinder = Z + Y = 13.9
----- Equation 1
----- Equation 2
----- Equation 3
Subtract equation 1 from 2
---- Equation 4
Add Equation 4 to Equation 3
Divide both sides by 2
Substitute in Equation 2 and 3
----- Equation 2
Subtract 8.3 from both sides
----- Equation 3
Subtract 8.3 from both sides
So, we have that
The question states that the 4th tower is made up of the three shapes;
This implies that;
The height of the 4th tower is 23.9cm
Answer:
the two numbers are 16 and -25
Step-by-step explanation:
Let the two numbers be x and y
x+y=-9
x-y=-41
By substitution
y=-9-x
x-(-9-x)=-41
x+9+x=-41
2x=-41-9
2x=-50
x=-25
y=-9-(-25)
y=16