I just need the two equations. Please Help.

1. Which of the following expressions is equivalent to 3 + 3×12 ÷ 4×3?

noname [10]

To find which one is equivalent to 3+3*12/4*3, we need to first evaluate and then compare to other expressions to find which one is equivalent to the expression. Using PEMDAS, we first do the multiplication and division, and then do addition.
3+3*12/4*3 = 3+36/4*3 = 3+9*3 = 3+27 = 30
Now that we know what the expression equals to, we can evaluate other equations until we find the same answer.
6*12/4*3=72/4*3=18*3=48
3+3*12/12=3+3*1=3+3=6
3+3*3*3= 3+27*3=3+81=84
3/36/4*3=9/36/4= 1/4/4 = 1/4*1/4 = 1/16
None of them are equivalent
Hope this helps

6 0

2 years ago

Since 1851, exactly 119 hurricanes have hit Florida (this includes the years 1851 and 2019),—only direct hits by hurricanes are

alukav5142 [94]

Answer:

There is a 0.58% probability of Florida being struck by four or more hurricanes in the same year.

Step-by-step explanation:

Since we have only the mean during the interval, we can solve this problem using the Poisson probability distribution.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

Poisson probability distribution

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

$e = 2.71828$ is the Euler number

$\mu$ is the mean in the given time interval.

In this problem, we have that:

Since 1851, exactly 119 hurricanes have hit Florida (this includes the years 1851 and 2019). Counting 1851 and 2019, there are 169 years in this interval. This means that $\mu = \frac{119}{169} = 0.704$

If the probability of hurricane strikes has remained the same since 1851, what is the probability of Florida being struck by four or more hurricanes in the same year?

This is $P(X \geq 4)$ .

Either Florida is struck by less than four hurricanes in a given year, or it is struck by 4 or more. The sum of these probabilities is decimal 1.

$P(X < 4) + P(X \geq 4) = 1$

$P(X \geq 4) = 1 - P(X < 4)$

In which

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

So

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-0.704}*(0.704)^{0}}{(0)!} = 0.4946$

$P(X = 1) = \frac{e^{-0.704}*(0.704)^{1}}{(1)!} = 0.3482$

$P(X = 2) = \frac{e^{-0.704}*(0.704)^{2}}{(2)!} = 0.1226$

$P(X = 3) = \frac{e^{-0.704}*(0.704)^{3}}{(3)!} = 0.0288$

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.4946 + 0.3482 + 0.1226 + 0.0288 = 0.9942$

Finally

$P(X \geq 4) = 1 - P(X < 4) = 1 - 0.9942 = 0.0058$

There is a 0.58% probability of Florida being struck by four or more hurricanes in the same year.

7 0

3 years ago

What percentage of the total students chose skateboarding?

Sergeu [11.5K]

I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
PLEASE SEE ATTACHED IMAGES.

For this case, the first thing we are going to do is add the number of students in each of the disciplines.
We have then:
walk = 9
bike = 8
skateboard = 3
Total: 20
The percentage sought is then:
(3/20) * (100) = 15%
Answer:
percentage of the total students chose skateboarding is:
D.) none of these

5 0

3 years ago

Greatest common factor of 15c^2 and 25n

shtirl [24]

Answer: 5

Step-by-step explanation:

The greatest common factor of 15c^2 and 25n is 5 because if you divid the two numbers by 5, they will both be in their primal state.

15c^2 / 5 = 3c^2

25n / 5 = 5n

6 0

3 years ago

Which of the following is the most appropriate unit to describe the rate at which a person reads? (2 points) Group of answer cho

Molodets [167]

Option third "words per minute, because the independent quantity is the minutes" is the correct choice.

<h3>What is the rate of change?</h3>

It is defined as the change in values of a dependent variable with respect to the independent variables.

We have a statement:

Which of the following is the most appropriate unit to describe the rate at which a person reads?

As we know the rate of change is the ratio of change in y to change in x.

y is the dependent quantity and x is the independent quantity.

Rate of change = change in y/change in x

Rate at which a person reads = words/minute

Word is the dependent quantity and minute is the independent quantity.

Thus, option third "words per minute, because the independent quantity is the minutes" is the correct choice.

Learn more about the rate of change here:

brainly.com/question/12786410

#SPJ1

3 0

2 years ago