The area or the common pasture will be 12 acres.
<h3>How to calculate the area?</h3>
Based on the information given, the formula to use will be:
ab/ac = 2/4
b/c = 1/2 .... i
Also, ab/bd = 2/6
a/d = 1/3 .... ii
Multiply both equation
1/2 × 1/3 = 1/6
Therefore, the area will be
= 6 × 2
= 12 acres
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Answer:
9) 27
10) 98
Explanation:
Plug in the given variables into each equation. The first equation should be 5(4)+7. Multiply 5 and 4 to get 20+7. Add the like terms to get 27. Substitute 2 for n and the second equation should be 90+2^3. 2^3 should be 8 and 90+8=98.
For binomial distribute we use formula
the probability mass function of the binomial distribution is:
Given n = 12 and π = .6. (Replace the values)
the probability for x = 5, we need to find P(x=5). Here r= 5
P(x=5)=
= = 0.10090 = 0.101
(b) the probability for x ≤ 5
P(x<=5) = P(x=0) + P(x=1) +P(x=2)+ P(x=3) + P(x=4) + P(x=5)
P(x<=5) = + + + + +
= 0.15821229 = 0.158
(c) find the probability for x ≥ 6
P(x>=6) =P(x=6) + P(x=7) +P(x=8)+ P(x=9) + P(x=10) + P(x=11)+ P(x=12)
P(x>=6) = + + + + + +
= 0.8417877 = 0.0842 (rounded to 3 decimal places)
The solution is
Explanation:
The initial investment is $4500
The time taken is 10 years.
The rate of interest is 4%
We shall determine the value of A using the formula
where P is the initial investment,
r is the rate of interest and
t is time
Let us substitute the values , and in the formula
Thus, we have,
Adding the values within the bracket, we have,
Simplifying, we get,
Multiplying, we have,
Thus, the value is $6661
Multiplying the factors we obtain:
The general form of quadratic equation is:
Therefore,
The correct answer is the first one.