Answer:
n=7/3
Step-by-step explanation:
1 (n – 4) – 3 = 3 - (2n+3)
1. distribute the 1 on the left side and distribute the -1 on the right side
1n-4-3=3-2n-3
2. add like terms
1n-7=-2n
3. move n to one side and by itself
-7=-3n
4. divide -3 to get n alone. Both negatives cancel out each other
7/3=n
The equation of the line is y - 3 = 5(x - 8) ⇒ c
Step-by-step explanation:
The point-slope form of the linear equation is
, where:
- m is the slope of the line
is a point on the line
∵ The line passes through point (8 , 3)
∴
= 8 and
= 3
∵ The slope of the line is 5
∴ m = 5
- Substitute these values in the form of the equation below
∵ 
∴ y - 3 = 5(x - 8)
The equation of the line is y - 3 = 5(x - 8)
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Answer:
Two zero pair
Step-by-step explanation:
We are given the following quadratic equation:

Since, this a quadratic equation we would have two zero pairs for this model.
Factored form of polynomial:

is the required factored form of the given polynomial.
Answer:
0.9544
Step-by-step explanation:
We are given that mean=18 and standard deviation=1 and we have to find P(16<X<20).
P(16<X<20)=P(z1<Z<z2)
z1=(x1-mean)/standard deviation
z1=(16-18)/1=-2
z2=(x2-mean)/standard deviation
z2=(20-18)/1=2
P(16<X<20)=P(z1<Z<z2)=P(-2<Z<2)
P(16<X<20)=P(-2<Z<0)+P(0<Z<2)
P(16<X<20)=0.4772+0.4772=0.9544
The probability that the height of a tree is between 16 and 20 feet is 95.44%