What is the quotient of: 25.2 divided by 0.72

Find the equation of the exponential function represented by the table below: above^^^^

Nikitich [7]

Answer:

Step-by-step explanation:

We will use 2 coordinates from the table along with the standard form for an exponential function to write the equation that models that data. The standard form for an exponential function is

$y=a(b)^x$ where x and y are coordinates from the table, a is the initial value, and b is the growth/decay rate. I will use the first 2 coordinates from the table: (0, 3) and (1, 1.5)

Solving first for a:

$3=a(b)^0$ . Sine anything in the world raised to a power of 0 is 1, we can determine that

a = 3. Using that value along with the x and y from the second coordinate I chose, I can then solve for b:

$1.5=3(b)^1$ . Since b to the first is just b:

1.5 = 3b so

b = .5

Filling in our model:

$y=3(\frac{1}{2})^x$

Since the value for b is greater than 0 but less than 1 (in other words a fraction smaller than 1), this table represents a decay function.

4 0

2 years ago

Suppose you have rolled a six-sided die fifty times and recorded the result of each roll.

a_sh-v [17]

Using it's concept, it is found that the relative frequency probability of rolling an even number based on this experiment is $\frac{11}{25}$ .

A relative frequency is the number of desired outcomes divided by the number of total outcomes.

In this problem:

50 dices are thrown, hence $T = 50$ .
22 resulted in an even number, hence $D = 22$

The relative frequency is given by:

$f = \frac{D}{T} = \frac{22}{50} = \frac{11}{25}$

A similar problem is given at brainly.com/question/20630951

8 0

2 years ago

Which is an equation of the line perpendicular to y = -3/4x + 1 and passes through (3, 4)?

topjm [15]

Answer:

Step-by-step explanation:

perp. 4/3

y - 4 = 4/3(x - 3)

y - 4 = 4/3x - 4

y = 4/3x

5 0

2 years ago

write an expression that has a value of 100 and follows these restrictions. (1) uses each of the four operations at most once. (

posledela

33 * 3 + 3/3 = 100

I do not believe u have to use all of the operations because it says " at most once ".

5 0

3 years ago

Read 2 more answers

A survey of the students in Lance’s school found that 58% of the respondents want the school year lengthened, while 42% think it

alina1380 [7]

The margin of error of a given statistic is an amount that is allowed for in case of miscalculation or change of circumstances.

It is usually the radius or half of the width of the confidence interval of that statistic.

Given that a survey of the students in Lance’s school found that 58% of the respondents want the school year lengthened, while 42% think it should remain the same. The margin of error of the survey is ±10%.

This means that 58% ± 10% of the respondents want the school year lengthened, while 42% ± 10% think it should remain the same.

Thus, from 48% to 68% of the respondents want the school year lengthened, while from 32% to 52% think it should remain the same. 

Therefore, according to the survey data, at least 32% of students want the duration of the school year to remain unchanged, and at least 48% want the school year to be lengthened.

7 0

3 years ago