Answer:
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Step-by-step explanation:
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The area for the perimeter of a rectangle is:
<em>P = 2l + 2w</em>
In this problem, we are given that
P = 155 and
l = 45.5. To solve for area, we must find w. To do this, plug in the given info and isolate the w like so:
Now we know
w = 32. Knowing all the necessary info, we can use the area formula, <em>A=lw</em>, to solve for A.
The area is
1,456 sq ft. Hope this helps!
Answer:
In a system, there are two linear inequalities. The solution to the system is all the points that satisfy both inequalities or the region in which the shading overlaps. Given the system of linear inequalities shown in the graph, let's determine which points are solutions to the system.
Hope this Helped!!!!!:)
Step-by-step explanation:
To solve these problems, we must remember the distributive property. This property states that a coefficient being multiplied by a polynomial in parentheses is equal to the sum of the coefficient times each of the separate terms. Using this knowledge, let's begin with number 21:
-(4x + 17) + 3(7-x)
To begin, we should distribute the negative sign through the first set of parentheses and the coefficient of positive 3 through the second set of parentheses.
-4x - 17 + 21 - 3x
Next, we must combine like terms, or add/subtract the constants terms and the variable terms in order to create a more concise expression.
-7x + 4 (your answer)
Now, we can move on to question 22 and solve it in a similar manner:
7(2n-8) - 4(12 - 8n)
Again, we will distribute the coefficients through the parentheses. However, keep in mind that the coefficient in front of the second set of parentheses is actually a NEGATIVE 4, so we must distribute the negative as well.
14n - 56 - 48 + 32n
Next, we will combine like terms (add the n terms together and subtract the constant terms).
46n - 104
Now, we can solve problem 23:
8 + 2(5f - 3)
We will again distribute through the parentheses:
8 + 10f - 6
Combine like terms after that:
10f + 2
Therefore, your answers for the three problems are as follows:
21) -7x + 4
22) 46n - 104
23) 10f + 2
Hope this helps!
To solve the
following problems, we use the binomial probability equation:
P (r) = [n!/(n-r)!
r!] p^r q^(n-r)
where,
n = total
number of households = 8
r = number of
sample
p =
probability of success = 65% = 0.65
q = probability
of failure = 0.35
A. r = 5
P (r=5) = [8!
/ 3! 5!] 0.65^5 0.35^3
P (r=5) =
0.28
B. r >5
P (r=6) = [8!
/ 2! 6!] 0.65^6 0.35^2
P (r=6) =
0.26
P (r=7) = [8!
/ 1! 7!] 0.65^7 0.35^1
P (r=7) =
0.14
P (r=8) = [8!
/ 0! 8!] 0.65^8 0.35^0
P (r=8) =
0.03
Therefore
total is:
P (r>5) = 0.26
+ 0.14 + 0.03 = 0.43
C. r ≤ 5
P (r ≤ 5) = 1
- P (r>5)
P (r ≤ 5) = 1
– 0.43
P (r ≤ 5) =
0.57
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