A standard number cube was rolled multiple times, and the results were recorded in the table above. What can be said about the experimental probability of rolling a four versus the theoretical probability of rolling a four?

Answers

Answer 1

Answer: They should ideally be the same. However, the difference is that the theoretical probability is what is expected to happen while the experimental probability is what happens in the actual scenario. The computation for both would be the same, and they should ideally be the same, unless other factors in an experiment would confound it.

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Proportional constant

Answers

Answer:

The value of the proportionality constant (y to x) is: 3/10

Step-by-step explanation:

We know the slope of any graph where 'y' varies directly with 'x' gives us the constant of proportionality 'k'.

i.e. y = kx

and k = y/x

Given the points

(100, 30)

(300, 90)

(500, 150)

We know that the proportionality constant (y to x) is:

k = y/x

For the point (100, 30)

k = 30/100=3/10

For the point (300, 90)

k = 90/300=3/10

For the point (500, 150)

k = 150/500=3/10

As the value of proportionality constant (y to x) is the same.

i.e. k = 3/10

Thus, the value of the proportionality constant (y to x) is: 3/10

Is 0.21 less or greater than half

Answers

0.21 is less than half because a half is 0.5.

So 0.21 is less than 0.5 because the tenths place is less than 5 which makes 0.21 smaller than a half

less than half because .5 is half of one

.5 = .50

compare the 2. that's what I do.

.50

.21

forget the decimal. and pretend that 100 = 1

Hope this helped

A car depreciate $2000 each year it was owned and driven. What type of depreciation is this?

Answers

Answer:

Straight-line depreciation

Step-by-step explanation:

APE X

This would be an exponential decay model.

Staci is attending a music festival. The ticket to the festival costs $87.96. Staci plans to purchase $30.00 t-shirts from the event for close friends. She is taking $200.00 to the festival. What is the maximum number of t-shirts Staci can purchase?

Answers

since stacy is bringing $200, and the initial cost is $87.96 you would have to subtract $200-87.96 which equals $112.04 this is the money left that stacy could buy shirts with, to figure out how many she needs you would have to do $112.04÷$30.00 this equals a decimal of 3.734666666666667 which would have to round down to 3 because stacy cant make it 4 shirts because she doesn't have enough money. So stacy can purchase a maximum of 3 shirts.
hope this helped:))

What comes next

1,2,6,14,....

Answers

next it comes as
1,2,6,14,30,62
everytime the difference between the numbers doubles.
i think it is correct!

All it is is multiplying by n, and n = x+1, if you don't get it it means that you multiply by consecutive numbers. For ex. the first one is 1x2 then 2x2 then 4x3 then 4x4 and so on

A science experiment begins with a bacterial population of 12. After 1 hour, the population is 18. After 2 hours, the population is 27.Which best describes the relationship between the time, in hours, and the population of the bacteria?
A: LINEAR
B: QUADRATIC
C: EXPONENTIAL

What is the y-intercept of the function?
A: 6
B: 12
C: 15
D: 18

What is the rate of change of the function?
A: ADD 1.5
B: ADD 6
C: MULTIPLY 1.5
D: MULTIPLY 6

***ANSWER ALL 3!!!!!!!*** LIMITED TIME!!!!!!

Answers

For this case we have a function of the form:
$y = A * b ^ x$
Where,
A: initial population
b: growth rate
x: time in hours
y: population after x hours
We must find the values of A and b, for this we use the following data:
After 1 hour, the population is 18:
$18 = A * b ^ 1$
After 2 hours, the population is 27:
$27 = A * b ^ 2$
We have a system of two equations with two unknowns
Dividing equations we have:
$(A * b ^ 2)/(A * b ^ 1) = (27)/(18)$
$b= (27)/(18)$
$b = 1.5$
Substituting b in equation 1 we have:
$18 = A * (1.5) ^ 1$
Clearing A we have:
$A = 18 / 1.5A = 12$
So, the function is:
$y = 12 * (1.5) ^ x$
Answer:

A function that best describes the relationship between the time, in hours, and the population of the bacterium is:
C: EXPONENTIAL

the y-intercept of the function:
B: 12

the rate of change of the function:
C: MULTIPLY 1.5

Answer:

1. exponential 2. 12 3. multiply 1.5

Step-by-step explanation:

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Which type of correlation would you expect to see between the temperature and the number of ice cream bars sold? A. positive correlation B. negative correlation C. no correlation

Please help with number 1 please ?