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Kamila [148]
3 years ago
15

Florida state university has 14 statistics classes scheduled for its summer 2013 term. one class has space available for 30 stud

ents, eight classes have space for 60 students, one class has space for 70 students, and four classes have space for 100 students.
a. what is the average class size assuming each class is filled to capacity?
Mathematics
1 answer:
bonufazy [111]3 years ago
3 0
Hi <span>Bladen8960
So the only numbers that matter are the classes. So let's write it out 30, 60, 60, 60, 60, 60, 60, 60, 60, 70, 100, 100, 100, 100. OK so average is mean so to find mean we add all the classes then divide by how many their are so, adding them all together we get 880 students can go into each classroom so now we divide that by 14 how many classes their are which gives us about 62.
If I'm wrong I'm sorry but I hope this helps!</span>
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I'm studying a new bacteria that doubles in numbers every 25 minutes. If i start with 50 bacteria, how long until i have 5 milli
dimaraw [331]

Answer:

415.63 minutes

Step-by-step explanation:

Growth can be represented by the equation A=A_0e^{rt}. We can find the rate at which it grows by using t=25 minutes and \frac{A_{0}}{A} =2 or double the amount at that time. The first step we always take is to divide A_0 by A.

[tex]\frac{A_{0}}{A}=e^{rt}\\2=e^{r(25)}

2=e^{(25)r}

To solve for r, we will take the natural log of both sides and use log rules to isolate r.

ln 2=ln e^{(25)r}\\ln 2=25r (ln e)\\\frac{ln2}{25} =r

We know lne=1 so we were able to cancel it out and divide both sides by 25.

We solve with a calculator \frac{ln2}{25} =r\\0.0277=r

We change 0.0277 into a percent by multiplying by 100 to get 2.77% as the rate.

The equation is A=A_0e^{0.0277t} .

We repeat the step above substituting A=5,000,000, A_0=50, and r=0.02777. Then solve for t.

5000000=50e^{0.0277t}\\\frac{5000000}{50} =e^{0.0277t}\\100000=e^{0.0277t}\\ln100000=lne^{0.0277t}\\ln100000=0.02777t(lne)\\\frac{ln100000}{0.0277} =t

t=415.63 minutes

6 0
3 years ago
Given the parent function
lozanna [386]

Answer:

Option c is right.

Step-by-step explanation:

Given is a parabola y =x^2

From that transformation is done to get parabola as

y =(0.2x)^2

We find that instead of x here we use 0.2x

i.e. New x = 5 times old x

Hence there is a horizontal expansion of scale factor 5.

We can check with any point also

When y =4, x=2 in the parent graph

But when y =4 , we have x = 10 in the new graph

i.e. there is a horizontal expansion of scale factor 5.

7 0
3 years ago
Read 2 more answers
What fraction of 2 kg is 275g? Give your answer in simplest form.
Katen [24]

Answer:

Step-by-step explanation:

1kg=1000g

2kg=2000g

275/2000=11/80g

4 0
3 years ago
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8. Charlotte is given the equation 3x - 4y = 12. She needs to create a graph of the equation, but
Zielflug [23.3K]

Answer/Step-by-step explanation:

Note:

<u>Graphing From An Equation: </u>

Equation are frequently written in slope-intercept form { y = mx+b}.

Which "m" represents the slope and "b" represents the y-intercept.

<u>Solutions and Equation:</u>

Solutions to linear equations contain any points located on the graphed line.

Ordered Pair = Solution to an equation if it's values are substituted in the equation which makes it true

Solve:

{x = 0 }       3(0) - 4y = 12

                       -4y = 12                                 (0, -3 )

                       -4y/-4 = 12/-4

                                y = -3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

{y = 0}                  3x-4(0) =12

                                3x = 12              (4,0)

                                 3x/3 = 12/3

                                        x = 4

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

<u><em>~Lenvy~</em></u>

5 0
2 years ago
Tyler wants to buy a new tub and that cost $312. He has already saved the plan to save $24 per week over the next few weeks whic
laila [671]

Answer:

13 weeks

Step-by-step explanation:

Given that :

Cost of new tub = $312

Planned saving per week = $24

The number of weeks he'll have to save in other to be able to afford the tub can be obtained using the relation :

Number of weeks = cost of new tub / weekly saving

Number of weeks = $312 / $24

Number of weeks = 13 weeks

5 0
3 years ago
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