2.<br> Round off your answer to the nearest tenth:<br> 2(-11)-5(-6)<br> 7

A line has a slope of 1/4 and passes through the point (4,8). Write the equation of the line in slope intercept form.

Yuri [45]

Answer:

y = 1/4x +7

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 1/4 x +b

Substitute the point into the equation

8 = 1/4(4) +b

8 = 1 +b

Subtract 1 from each side

8-1 =b

7 =b

y = 1/4x +7

6 0

3 years ago

When studying radioactive material, a nuclear engineer found that over 365 days,

Gnom [1K]

Answer:

a) The mean number of radioactive atoms that decay per day is 81.485.

b) 0% probability that on a given day, 50 radioactive atoms decayed.

Step-by-step explanation:

Poisson distribution:

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

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

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\lambda$ is the mean in the given interval.

a. Find the mean number of radioactive atoms that decayed in a day.

29,742 atoms decayed during 365 days, which means that:

$\lambda = \frac{29742}{365} = 81.485$

The mean number of radioactive atoms that decay per day is 81.485.

b. Find the probability that on a given day, 50 radioactive atoms decayed.

This is P(X = 50). So

$P(X = 50) = \frac{e^{-81.485}*(81.485)^{50}}{(50)!} = 0$

0% probability that on a given day, 50 radioactive atoms decayed.

5 0

2 years ago

Suppose you are the president of the student government. You wish to conduct a survey to determine the student body's opinion r

patriot [66]

The best way to five students from a list of 626 students available such that it exhibits a random process is to List each name on a separate piece of paper; place them all in a hat, and pick five.

The selection process which should be undertaken by the student government, should be one which is inclusive and representative. Hence, the five students to be selected which makes up the sample of the total student should be chosen at random and transparently.

Hence, listing the names of each student on a Seperate piece of paper, placing it in a hat and making 5 selections showcase randomness and transparency, hence, it should be the adopted selection process.

Learn more : brainly.com/question/12719645?referrer=searchResults

5 0

3 years ago

Simplify using order of operations 9 divided by 3 + 4 times 3 divided by 6

Alchen [17]

Answer:

$5$