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iris [78.8K]
3 years ago
11

The graph shows the amount of money paid when purchasing bags of caramel corn at the zoo: A graph is shown. The x-axis is labele

d from 0 to 9. The y-axis is labeled from 0 to 10. The four points shown on the graph are ordered pairs 0, 0 and 1, 3 and 2, 6 and 3, 9. These points are joined by a line. The label on the x-axis is Bags of caramel corn. The title on the y-axis is Total cost in dollars. What is the constant of proportionality? (4 points) 3 one-third 2 one-half
Mathematics
2 answers:
sineoko [7]3 years ago
4 0
3 one third because you would just round
MariettaO [177]3 years ago
3 0

Answer:

yup the third one

Step-by-step explanation:

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Given the function ƒ(x) = 5x^2 − 9x + 18, find ƒ(3). A) ƒ(3) = 31 B) ƒ(3) = 36 C) ƒ(3) = 49 D) ƒ(3) = 85
kumpel [21]

Answer:

36

Step-by-step explanation:

ƒ(x) = 5x^2 − 9x + 18,

Let x=3

ƒ(3) = 5*3^2 − 9*3 + 18,

      =5*9 - 27+18

        45 - 27+18

         36

3 0
3 years ago
If x^2=20 what is the value of x will give brainliest for answer
Schach [20]

Answer:

x² - 20 = 0

Using the quadratic formula

x =  \frac{ - b± \sqrt{( {b})^{2} - 4ac } }{2a}

a = 1 b = 0 c = -20

So we have

x =  \frac{ - 0 ±  \sqrt{ {0}^{2}  - 4(1)( -20)} }{2(1)}  \\  \\ x =  \frac{± \sqrt{80} }{2}  \\  \\ x =  \frac{±4 \sqrt{5} }{2}  \\  \\  \\ x = ±2 \sqrt{5}  \\  \\  \\ x = 2 \sqrt{5}  \:  \:  \: or \:  \:  \: x =  - 2 \sqrt{5}

Hope this helps you.

8 0
2 years ago
The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (a) What is th
Sindrei [870]

Answer:

a) 0.0025

b) 0.9975

c) 23.03 minutes

d) 23.03 minutes

Step-by-step explanation:

Let X be the random variable that measures the time waited for a taxi.  

If X is exponentially distributed with a mean of 10 minutes,then the probability that you have to wait more than t minutes is  

\large P(X>t) = e^{-t/10}

a)  

1 hour = 60 minutes, so the probability that you wait longer than one hour is

\large P(X>60)=e^{-6}=0.0025

b)

Due to the “memorylessness” of the exponential distribution, the probability that you have to wait 10 or less minutes after you have already waited for one hour, is the same as the probability that you have to wait 10 or less minutes

\large P(X\leq 10)=1-e^{-6}=0.9975

c)

We want x so that

P(X>x)=0.1

\large e^{-x/10}=0.1\rightarrow -x/10=ln(0.1)\rightarrow x=-10ln(0.1)=23.03\;minutes

d)

We want P(X<x)=0.9

\large 1-e^{-x/10}=0.9\rightarrow e^{-x/10}=0.1\rightarrow x=-10ln(0.1)=23.03\;minutes

4 0
3 years ago
Forty discrete math students are to be divided into eight discussion groups, each consisting of five students. In how many ways
VARVARA [1.3K]

Answer:

<h2>76904685 ways</h2>

Step-by-step explanation:

Given data

the number of students n=40

the number of groups r= 8

We are going to use the combination approach to solve the problem

nCr= n!/r!(n-r)!

substituting into the expression for the number of ways we have

40C8= 40!/8!(40-8)!

nCr= 40!/8!(32)!

nCr= 40!/8!(32)!

nCr= 40*39*38*37*36*35*34*33*32!/8!(32)!

nCr= 40*39*38*37*36*35*34*33*/8!

nCr= 40*39*38*37*36*35*34*33*/8*7*6*5*4*3*2

nCr= 3100796899200/40320

nCr=76904685 ways

4 0
3 years ago
A small accounting firm has 4 accountants who each earn a different salary between 50,000 and 60,000 and a 5th accountant who wo
Nimfa-mama [501]

Answer: B

Step-by-step explanation:

Both the mean and the median will decrease, but the mean will decrease by more than the median.

4 0
3 years ago
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