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Gekata [30.6K]
2 years ago
13

In the function y = 15.00x + 5, y represents the cost of a ticket to the fair and x represents the number of tickets purchased.

How much does the cost increase for every ticket purchased?
Mathematics
1 answer:
kkurt [141]2 years ago
4 0
For every ticket purchased, the cost will increase by $15.00 because x indicates that $15 is the unit rate for each ticket.
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Factor completely.<br><br> x2+7x−18<br><br><br> Answer now PLZZZZZ
zimovet [89]

Answer: ( − 2) ( + 9)

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There are currently 18 pit bulls at the pound. Of the 18 pit bulls, four have attacked another dog in the last year. Joe, a memb
laila [671]

Answer: 0.7748

Step-by-step explanation:

Given : Number of bit bulls at the pound = 18

Number of pit bulls have attacked another dog in the last year =4

The proportion of pit bulls have attacked another dog in the last year:p=\dfrac{4}{18}\approx0.22

Number of the pit bulls selected = 6

The probability of that none of the pit bulls in Joe's group attacked another dog last year :  P(0)=(1-0.22)^6=0.225199600704\approx0.2252

By using binomial , the probability that at least one of the pit bulls in Joe's group attacked another dog last year is given by :-

P(x\geq 1)=1-P(x

Hence, the required probability = 0.7748

3 0
3 years ago
Compare 7⁄8 with 14⁄16 using ( &lt;, &gt;, =). A. none of the above B. 7⁄8 &gt; 14⁄16 C. 7⁄8 = 14⁄16 D. 7⁄8 &lt; 14⁄16
Kryger [21]
7/8 = 0.875
14/16 = 0.875

Therefore, 7/8 = 14/16
7 0
2 years ago
A country's population in 1991 was 114 million. In 1997 it was 120 million. Estimate the population in 2014 using exponential gr
Rufina [12.5K]
The answer is 138 million.

Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 120 million = 120 000 000
P = 114 million = 114 000 000
n = ?
x = 1997 - 1991 = 6
Therefore:
120 000 000 = 114 000 000 * e ^{n*6} \\ e ^{n*6} =120 000 000 /114000000 \\ e ^{n*6} =1.05 \\
Logarithm both sides of the equation:
ln(e ^{n*6})=ln(1.05) \\ n*6*ln(e) = ln(1.05) \\ 6n=ln(1.05) \\ n = \frac{ln(1.05)}{6} \\ n = \frac{0.05}{6} \\ n = 0.0083

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2014
A = ?
P = 120 000 000
n = 0.0083
t = 2014 - 1997 = 17
A = 120 000 000 * e ^{0.0083*17}  \\ &#10;A = 120 000 000 * e^{0.1411}   \\ &#10;A = 120 000 000 * 1.15 \\ &#10;A = 138 000 000&#10;
Thus, the population will be 138 million in 2014

8 0
3 years ago
The perimeter of a rectangle is 120cm. The ratio of the length to the with is 3 to 2. What is the length of the longer side of t
Katyanochek1 [597]
The longer side is 36 and the shorter side is 24
8 0
2 years ago
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