13. Mr. Smith teaches history and math classes. He has 25 students in both classes combined. He has 17 students in the math class and 15 students in the history class. Is it possible that 12 stu- dents are enrolled in both his history and his math classes?!

Answers

Answer 1
Answer:

Answer:

  no

Step-by-step explanation:

If m, h, b represent the numbers of students in Mr. Smith's math, history, and both classes, then we have ...

  m + b = 17

  h + b = 15

  m + b + h = 25

Adding the first two equations and subtracting the third gives ...

  (m+b) +(h+b) -(m+b+h) = (17) +(15) -(25)

  b = 7 . . . . . . simplify

The number enrolled in both of Mr. Smith's classes is 7, not 12.

_____

Here, m and h represent the number of students enrolled in only one of Mr. Smith's classes, math or history, respectively.


Related Questions

Which EXPRESION has the greatest value when x=3
Add the following - 4/9,7/12and - 3/8​
Jose can eat 5/8 of a pizza in 1/4 hours. How many hours will it take him to eat the whole pizza?
A line has a slope of $-7$ and contains the point $(3,0)$. The equation of this line can be written in the form $y = mx+b$. What is the value of $m+b$?
A resident of Bayport claims to the City Council that the proportion of Westside residents (1) with income below the poverty level is lower than the proportion of Eastside residents (2) The City Council decides to test this claim by collecting a random sample of resident incomes from the Westside of town and a random sample of resident incomes from the Eastside of town. Seventy-six out of 578 Westside residents had an income below the poverty level. Hundred-and-twelve out of 688 Eastside residents had an income below the poverty Specify the hypotheses. Calculate the value of the test statistic (round to 4 decimal places). Calculate the p-value (round to 4 decimal places).

How to divide this? WITH SOLUTION​ i need the answer pls​s​

Answers

Answer:

Step-by-step explanation:Please mark me as the brainlyest

According to a recent​ study, 9.2​% of high school dropouts are​ 16- to​ 17-year-olds. In​ addition, 6.2​% of high school dropouts are white​ 16- to​ 17-year-olds. What is the probability that a randomly selected dropout is​ white, given that he or she is 16 to 17 years​ old?

Answers

Answer:

Step-by-step explanation:

So, out of a 100% students that drop out, 9,2% is in the range of 16-17 years of age. The conclusion would be, (92)/(1000) would express the probability of randomly picking a dropout that belong in this set of 16-17 year olds.

Notice that I put "1000" because I want a 0,0092 as a multiplier, because in probability, that represents "9,2%". You actually awnt to always put 100, because that's 100%, but this is just a trick, writing 9,2/100 still works.

Now, for the second bit of information you want to also include that "6,2% white students", which is a subset of the set of 16-17 year olds. and that's a probability, in of itself. Thus, you multiply these two probabilities.

What you want to plug, in your calculator, the follwing expression:

(9,2)/(100) (6,2)/(100)

This will give you a number, which you'll have to multiply by 100, to obtain the answer for your problem!

Final answer:

The probability that a randomly selected dropout aged 16 to 17 is white, given the provided statistics, is 67.39%.

Explanation:

The student is asking a question related to conditional probability in the field of Mathematics. The question prompts us to find out the probability that a randomly selected high school dropout in the age range of 16 to 17 is white. To find the answer, we use the following formula:

P(A|B) = P(A ∩ B) / P(B)

Where:
P(A|B) is the probability of event A happening given that event B has occurred.
P(A ∩ B) is the probability of both event A and event B happening together.
P(B) is the probability of event B happening.

From the problem statement, we know that P(B), the percentage of dropouts who are 16-17 years old, is 9.2%. Also, P(A ∩ B), the percent of dropouts who are both white and 16-17 years old, is given as 6.2%. We are supposed to find P(A|B), the probability that a dropout is white given that they are 16-17 years old.

Therefore, by substituting these values into the formula, we get:

P(A|B) = 6.2% / 9.2% = 67.39%

Rounded to two decimal places, the answer is 67.39%. So, there is approximately a 67.39% chance that a random high school dropout aged 16-17 is white.

Learn more about Conditional Probability here:

brainly.com/question/32171649

#SPJ2

Find the product (-2)(3)

Answers

Answer:

- 6

Step-by-step explanation:

Step 1:

( - 2 ) ( 3 )       Equation

Step 2:

- 2 × 3        Open Parenthesis

Answer:

- 6      Multiply

Hope This Helps :)

Answer:

Multiply -2 with 3

Step-by-step explanation:

Is the graph proportional, why or why not?

Answers

Answer: yes

Step-by-step explanation:

because it starts at 0 and continues forward

Determine the slope from the graphs

Answers

Answer:

This is solved

Step-by-step explanation:

Hope this helps

Select all that justify the following statement.2•1/2=1
commutative - addition
inverse - addition
associative - multiplication
symmetric
commutative - multiplication
associative - addition
inverse - multiplication

Answers

Answer:

G: Inverse multiplication

Step-by-step explanation:

Statement is 2•1/2=1

Now, what this means is that when we multiply a number by it's inverse form, the result will be 1.

This means that this statement denotes an inverse multiplication.

Thus, the last option is the correct answer