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tiny-mole [99]
3 years ago
13

In a yoga class, 75% of the students are women. There are 24 women in the class. How many students are in the class?

Mathematics
2 answers:
almond37 [142]3 years ago
8 0

Answer:

32

Step-by-step explanation:

adoni [48]3 years ago
3 0

Answer:

32

Step-by-step explanation:

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If coordinate 5,7 is also in g(x), what is the domain of g(x)?​
tekilochka [14]
The left column of the table is domain + add the element 5


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4 0
3 years ago
Find M of angle ABC
pochemuha

Answer:

25

Step-by-step explanation:

\sf Answer \begin{cases}\sf \rightarrowtail \:( 3x - 6) + (2x + 25) + (x + 11) = 180 \\  \sf \rightarrowtail \: 3x - 6 + 2x + 25 + x + 11 = 180 \\  \sf \rightarrowtail \: 3x + 2x + x - 6 + 25 + 11 = 180 \\  \sf \rightarrowtail \: 6x + 30 = 180 \\  \sf \rightarrowtail \: 6x = 180 - 30 \\  \sf \rightarrowtail \: 6x = 150 \\  \sf \rightarrowtail \: x =  \frac{150}{6}  \\  \sf \rightarrowtail \: x = 25\end{cases}

5 0
3 years ago
The numbers​ 1, 2,​ 3, 4, and 5 are written on slips of​ paper, and 2 slips are drawn at random one at a time without replacemen
mamaluj [8]
<h2>Answer:</h2>

(a)

The probability is :  1/2

(b)

The probability is :  1/2

<h2>Step-by-step explanation:</h2>

The numbers​ 1, 2,​ 3, 4, and 5 are written on slips of​ paper, and 2 slips are drawn at random one at a time without replacement.

The total combinations that are possible are:

(1,2)   (1,3)    (1,4)    (1,5)

(2,1)   (2,3)   (2,4)   (2,5)

(3,1)   (3,2)   (3,4)   (3,5)

(4,1)   (4,2)   (4,3)   (4,5)

(5,1)   (5,2)   (5,3)   (5,4)

i.e. the total outcomes are : 20

(a)

Let A denote the event that the first number is 4.

and B denote the event that the sum is: 9.

Let P denote the probability of an event.

We are asked to find:

               P(A|B)

We know that it could be calculated by using the formula:

P(A|B)=\dfrac{P(A\bigcap B)}{P(B)}

Hence, based on the data we have:

P(A\bigcap B)=\dfrac{1}{20}

( Since, out of a total of 20 outcomes there is just one outcome which comes in A∩B and it is:  (4,5) )

and

P(B)=\dfrac{2}{20}

( since, there are just two outcomes such that the sum is: 9

(4,5) and (5,4) )

Hence, we have:

P(A|B)=\dfrac{\dfrac{1}{20}}{\dfrac{2}{20}}\\\\i.e.\\\\P(A|B)=\dfrac{1}{2}

(b)

Let A denote the event that the first number is 3.

and B denote the event that the sum is: 8.

Let P denote the probability of an event.

We are asked to find:

               P(A|B)

Hence, based on the data we have:

P(A\bigcap B)=\dfrac{1}{20}

( since, the only outcome out of 20 outcomes is:  (3,5) )

and

P(B)=\dfrac{2}{20}

( since, there are just two outcomes such that the sum is: 8

(3,5) and (5,3) )

Hence, we have:

P(A|B)=\dfrac{\dfrac{1}{20}}{\dfrac{2}{20}}\\\\i.e.\\\\P(A|B)=\dfrac{1}{2}

7 0
3 years ago
Events X and Y are independent. The probability of X occurring is 1/3 . The probability of Y occurring is 1/2 . What is P(X and
Step2247 [10]
For independent events X,Y, \mathbb P(X\cap Y)=\mathbb P(X)\times\mathbb P(Y).

So

\mathbb P(X\cap Y)=\dfrac13\times\dfrac12=\dfrac16
4 0
3 years ago
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Colt1911 [192]

Answer:

6

Step-by-step explanation:

16.50=2.75x

4 0
3 years ago
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