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valina [46]
2 years ago
5

In the 2009-2010 school year in country A, there were 92,000 foreign students from country B. This number I 23% more than the nu

mber of students from country C. How many foreign students were from country C?
Mathematics
1 answer:
max2010maxim [7]2 years ago
8 0

Answer:

\approx74796

Step-by-step explanation:

GIVEN: In the 2009-10 school year in country A, there were 92,000 foreign students from country B. This number is 23\% more than the number of students from country C.

TO FIND: How many foreign students were from country C.

SOLUTION:

Total foreign students from country B =92000

let the foreign students from country C be x

As the students from country B is 23\% more than the country C

Students from country B

92000=\frac{123}{100}x

x=\frac{9200000}{123}

x\approx74796

Hence the number of students from country C are 74796

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A whole number from 1 to 15 inclusive is picked at random.
Helen [10]

Answer:

<u></u>

  • <u>a) 3/7</u>
  • <u>b) 3/5</u>

Explanation:

The figure attached shows the <em>Venn diagram </em>for the given sets.

<em />

<em><u>a) What is the probability that the number chosen is a multiple of 3 given that it is a factor of 24?</u></em>

<em />

From the whole numbers 1 to 15, the multiples of 3 that are factors of 24 are in the intersection of the two sets: 3, 6, and 12.

There are a total of 7 multiples of 24, from 1 to 15.

Then, there are 3 multiples of 3 out of 7 factors of 24, and the probability that the number chosen is a multiple of 3 given that is a factor of 24 is:

  • 3/7

<em><u /></em>

<em><u>b) What is the probability that the number chosen is a factor of 24 given that it is a multiple of 3?</u></em>

The factors of 24 that are multiples of 3 are, again, 3, 6, and 12. Thus, 3 numbers.

The multiples of 3 are 3, 6, 9, 12, and 15: 5 numbers.

Then, the probability that the number chosen is a factor of 24 given that is a multiple of 3 is:

  • 3/5

8 0
2 years ago
Please select the best answer from the choices provided<br>A<br>B<br>C<br>D​
Shalnov [3]

Answer:

Option A

Step-by-step explanation:

A=\begin{bmatrix}-3 & -9 & -3\\ -4 & -3 & 9\\ 7 & 9 & -10\end{bmatrix}

-7A=\begin{bmatrix}21 & 63 & 21\\ 28 & 21 & -63\\ -49 & -63 & 70\end{bmatrix}

B=\begin{bmatrix}9 & 1 & 6\\ 3 & -10 & 5\\ -1 & 9 & -9\end{bmatrix}

-4B=\begin{bmatrix}-36 & -4 & -24\\ -12 & 40 & -20\\ 4 & -36 & 36\end{bmatrix}

-7A-4B=\begin{bmatrix}-15 & 59 & -3\\ 16 & 61 & -83\\ -45 & -99 & 106\end{bmatrix}

Option A is the answer.

3 0
2 years ago
A dataset has 1000 records and 50 variables with 5% of the values missing, spread randomly throughout the records and variables.
dusya [7]
Answer: 50 

Explanation: 

Since 5% of the values are missing, the expected number of records to be removed is interpreted as the expected value of the records to be removed whose probability of having missing values is 0.05. 

Hence, the number of records that are expected to be removed is given by

Expected Value = (number of records)(probability of having a missing value)
                          = (1000)(0.05)
Expected Value = 50  
8 0
2 years ago
Interpret the average rate of change of –14/3 that you found previously. What does this mean in terms of the waterslide, from x
uranmaximum [27]

Solution: The average rate of change of \frac{-14}{3} represents that the second variable is decrease by 14 if the first variable increase by 3. In terms of water slide the vertical height of slide is decreased at the rate of 4.66 per unit. The vertical height of the slide decrease 70 units from x = 0 to x = 15.

Explanation:

The rate of change shows the change in first variable with respect to change in second variable.

If the rate of chang is given by \frac{-14}{3} it means second variable is decrease by 14 if the first variable increase by 3.

In the context of water slide it shows that the vertical height of slide is decreased by 14 units as we cover the distance of 3 units.

If we cover the distance from x = 0 to x = 15, it means we cover the distance of 15 units.

Let the vertical height of the slide covered from x = 0 to x =15 be y.

It means when distance increased by 15 units the height of slide decreased by y units.

So rate of change = \frac{-y}{15}.

It is given that the rate of change is \frac{-14}{3}.

Equate both equations.

\frac{-y}{15}=\frac{-14}{3}

y=15(\frac{14}{3} )

y=5(14)

y=70

Therefore, the average rate of change of \frac{-14}{3} represents that the second variable is decrease by 14 if the first variable increase by 3. In terms of water slide the vertical height of slide is decreased at the rate of 4.66 per unit. The vertical height of the slide decrease 70 units from x = 0 to x = 15.

3 0
2 years ago
Read 2 more answers
Ron is selling items at a craft show. The first hour his sales are $20. His sales grow by 10% each hour. What are Ron's total sa
solong [7]
C. $122.10. You take 20, then take 10 percent of that to find the second hour's earnings (which is $22), then you take 10% of that number to find the next hour's earnings, and so on and so on until you reach the 5th hour. When you add all the values up, you get $122.10.
4 0
2 years ago
Read 2 more answers
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