What is the sum of the measures of the interior angles of an octagon?

A veterinarian’s assistant made a table that shows the animals seen in the office in one week. What is the probability that the

horsena [70]

Answer:

The probability that the pet seen was sick is 53.57%.

Step-by-step explanation:

The probability of an event E is the ration of the number of favorable outcomes to the total number of outcomes.

$P(E)=\frac{n(E)}{N}$

Here,

n (E) = number of favorable outcomes

N = total number of outcomes

Denote the events as follows:

C = the pet is a cat

D = the pet is a dog

O = the pet is some other animal

S = the pet is sick.

The data provided is summarized as follows:

n (C) = 28

n (C ∩ S) = 3

n (D) = 42

n (B ∩ S) = 4

n (O) = 24

n (O ∩ S) = 8

Compute the probability that a cat was sick as follows:

$P(C\cap S)=\frac{n(C\cap S)}{n(C)}=\frac{3}{28}$

Compute the probability that a dog was sick as follows:

$P(D\cap S)=\frac{n(D\cap S)}{n(D)}=\frac{4}{42}=\frac{2}{21}$

Compute the probability that another animal was sick as follows:

$P(O\cap S)=\frac{n(O\cap S)}{n(O)}=\frac{8}{24}=\frac{1}{3}$

Compute the probability that the pet seen was sick as follows:

P (S) = P (C ∩ S) + P (D ∩ S) + P (O ∩ S)

$=\frac{3}{28}+\frac{2}{21}+\frac{1}{3}\\=\frac{9+8+28}{84}\\=\frac{45}{84}\\=0.5357$

Thus, the probability that the pet seen was sick is 53.57%.

8 0

3 years ago

Read 2 more answers

Can someone help me answer these 5 questions? the directions on what you do are in the questions. I will give brainliest as than

sergeinik [125]

Answer: Is it to late for me to answer it .

Step-by-step explanation: but divide my the numbers and multiply the exponits

Step-by-step explanation:

3 0

3 years ago

Help please I would appreciate it !

MAXImum [283]

Answer/Step-by-step explanation:

Given:

Line equation => $2.1x + 9.9y - 9.2 = 0$

Required:

x-intercept and y-intercept of the line.

SOLUTION:

The x-intercept is the point where the line intercepts the x-axis. To find the x-intercept of the line for which the equation is given above, set y = 0 and solve for x.

$2.1x + 9.9(0) - 9.2 = 0$

$2.1x + 0 - 9.2 = 0$

$2.1x - 9.2 = 0$

$2.1x - 9.2 + 9.2 = 0 + 9.2$

$2.1x = 9.2$

$\frac{2.1x}{2.1} = \frac{9.2}{2.1}$

$x = 4.4$ (approximated)

The y-intercept is the point where the line intercepts the y-axis. At this point, x = 0. Set x = 0 and solve for y to find the y intercept.

$2.1(0) + 9.9y - 9.2 = 0$

$9.9y - 9.2 = 0$

$9.9y - 9.2 + 9.2 = 0 + 9.2$

$9.9y = 9.2$

$y = \frac{9.2}{9.9}$

$y = 0.9$ (approximated)

4 0

4 years ago

Picture is in problem below. Will mark brainliest.

gladu [14]

Answer:

July 16

Step-by-step explanation:

The way to solve this problem is to look carefully at the question and then work through each statement in turn and see what we can deduce from it.

From the question we know that Albert has been told May, June, July or August.

Bernard has been told 14, 15, 16, 17, 18, or 19.

Albert: I don't know when Cheryl's birthday is, but I know that Bernard does not know too.

Bernard has been told the day of Cheryl's birthday. There are only two days, 18 and 19 that appear once on Cheryl's list. This means that Cheryl's birthday cannot be May 19th or June 18th as if it was then Bernard would know the answer.

Remember that Albert has been told a month and from the statement he knows that Bernard does not know the birthday. For Albert to be certain that Bernard does not know Cheryl's birthday, the month Albert had been told must not have been May or June.

Therefore Cheryl's birthday must fall in July or August.

Bernard: At first I don't know when Cheryl's birthday is, but I know now.

Based on the above Bernard has worked out that Cheryl's birthday is in July or August.

If Bernard now knows Cheryl's birthday the day he must have been told would be 15, 16 or 17. It cannot be 14 as this falls in both July and August and as such he wouldn't know Cheryl's birthday for certain.

Albert: Then I also know when Cheryl's birthday is.

Based on the above Albert has worked out that Cheryl's birthday is one of the following:

July 16

August 15

August 17

If Albert now knows for certain when Cheryl's birthday is he must have been told the month of July, as if it was August there would be two possible options.

Therefore the answer is July 16.

7 0

3 years ago

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Help pls will give brainliest

Novosadov [1.4K]

Answer:

41

Step-by-step explanation:

y = (4*5) + 21

y = 20 + 21

y = 41