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1 year ago

The scores awarded to 25 students for an assignment were as follows

Mathematics

1 answer:

Kisachek [45]1 year ago

3 0

Answer:

The numbers less than 50 (A) = 4

Total numbers (S) = 14

Probability students below 50 = 4÷14

Step-by-step explanation:

That is the correct answer of it.

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The sum of three numbers is 3. if the second number is subtracted from the sum of the first and third numbers, the result is 9.

Margaret [11]

Let the three numbers be x, y, and z.

If the sum of the three numbers is 3, then x+y+z=3

If subtracting the second number from the sum of the first and third numbers gives 9, then x+z-y=9

If subtracting the third number from the sum of the first and second numbers gives -5, then x+y-z=-5

This forms the system of equations:
[1] x+y+z=3
[2] x-y+z=9
[3] x+y-z=-5

First, to find y, let's take do [1]-[2]:
x+y+z=3
-x+y-z=-9
2y=-6
y=-3

Then, to find z, let's do [1]-[3]:
x+y+z=3
-x+-y+z=5
2z=8
z=4

Now that you have y and z, plug them into [1] to find x:
x+y+z=3
x-3+4=3
x=2

So the three numbers are 2,-3, and 4.

5 0

3 years ago

If a line includes the points (8,0) and (20,12). What is its equation in slope-intercept form?

aev [14]

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

substitute the coordinates of the points (8, 0) and (20, 12) to the formula:

$m=\dfrac{12-0}{20-8}=\dfrac{12}{12}=1$

y = 1x + b = x + b

Put the coordinates of the point (8, 0) to the equation of a line:

0 = 8 + b <em>subtract 8 from both sides</em>

-8 = b

<h3>Answer: y = x - 8</h3>

8 0

3 years ago

A rectangular field is 1/3 as wide as it is long and is enclosed by x yards of fencing. What is the area of the field in terms o

frozen [14]

Answer:

It is 1/3x wide

Step-by-step explanation:

add the terms, the answer is 1/3x

3 0

2 years ago

The population of a city grows exponentially at rate of 8% per year.Find the number of years it takes for the population to be d

Ilya [14]

Answer:

<em>It will take 9 years for the population to double</em>

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

$P=P_o(1+r)^t$

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.

Substituting in the equation:

$2P_o=P_o(1+0.08)^t$

Simplifying:

$2=(1.08)^t$

Taking logarithms:

$\log 2=\log (1.08)^t$

Applying the exponent property of logs:

$\log 2=t\log (1.08)$

Solving for t:

$\displaystyle t=\frac{\log 2}{\log (1.08)}$

Calculating:

$t\approx 9$

It will take 9 years for the population to double

8 0

2 years ago

Students planted 4(2x+3y) amount of trees on saturday and then 3(5x+4) amount of trees on Sunday. What is the total amount of tr

algol [13]

We have to add the amounts:

4(2x+3y) + 3(5x+4)

First, though, we have to distribute:

4*2x + 4*3y + 3*5x + 3*4
8x + 12y + 15x + 12

Now we just need to simplify:

23x + 12y + 12

The students planted 23x + 12y + 12 trees total.

7 0

3 years ago