Let's say the following inequality is multiplied by A>0:
![\begin{gathered} 7>5 \\ \\ 7A>5A\text{ True} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%207%3E5%20%5C%5C%20%20%5C%5C%207A%3E5A%5Ctext%7B%20True%7D%20%5Cend%7Bgathered%7D)
Notice that is the same as multiplying A by 7 and multiplying A by 5. When we multiply A by 7 the result is a number greater than when we multiply A by 5, since 7>5.
Thus, in this example, we see that the order of the inequality remains.
A different problem would be multiplying the inequality by a negative number. For example, let's multiply the original inequality by -1:
![\begin{gathered} 7>5 \\ \\ -7>-5\text{ False} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%207%3E5%20%5C%5C%20%20%5C%5C%20-7%3E-5%5Ctext%7B%20False%7D%20%5Cend%7Bgathered%7D)
As we see, -7 is more negative than -5. Thus, -7 < -5. Then, multiplying by a negative number changes the order of the inequality.
The same happens when we divide by a positive number (the order is the same) or a negative number (the order is changed) since dividing would be the same as multiplying by a fraction.
Therefore, the statement "the order of an inequality remains the same if a positive number is multiplied or divided by on both sides of the inequality" is TRUE.
B $3,813.56 is the correct answer
1 year = $10,604
2 years = $9,331.52
3 years = $8,211.74
4 years = $7,226.33
5 years = $6,359.17
6 years = $5,596.07
7 years = $4,924.54
8 years = $4,333.60
9 years = $3,813.56
2(5-n) can be an expression of "twice the difference of 5 and n".
Answer:the probability that exactly five customers make a purchase is 0.033
Step-by-step explanation:
The formula for binomial distribution is expressed as
P(x = r) = nCr × q^(n - r) × p^r
Where
p = probability of success
q= probability of failure
n = number of sample
From the information given,
39 percent of all customers who enter a store will make a purchase. It means that the probability of success, p = 39/100 = 0.39
The probability of failure q, would be 1 - p = 1 - 0.39 = 0.61
n = 6
The probability that exactly five customers make a purchase is expressed as
P(x = 5) = 6C5 × 0.61^(6 - 5) × 0.39^5
P(x = 5) = 6 × 0.61× 0.39^5 = 0.033
Answer:
M=(4,112)=(4,5.5) A
Step-by-step explanation:
The midpoint for two points P=(px,py) and Q=(qx,qy) is M=(px+qx2,py+qy2).
We have that px=3, py=2, qx=5, qy=9.
Thus, M=(3+52,2+92)=(4,112).