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yuradex [85]
3 years ago
11

Please help me How do I do this?

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
4 0
The mean is found by adding together all of the numbers, then dividing that number, by how many numbers you have. (In this case it would be 68.7 divided by 24 which is 2.8625). This means 2.8625 is the average/ mean. 

The median is found by lining all the numbers you have up from least to greatest. Then you cross out one on each side and continue crossing until you reach the middle. In this case, the median would be 1.4. 

The correct answer is c, only the mean will increase
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A solid lies between planes perpendicular to the​ x-axis at x = -2 and x = 2. The​ cross-sections perpendicular to the​ x-axis b
icang [17]

Answer:

V = 128π/3 vu

Step-by-step explanation:

we have that: f(x)₁ = √(4 - x²);  f(x)₂ = -√(4 - x²)

knowing that the volume of a solid is  V=πR²h, where R² (f(x)₁-f(x)₂) and h=dx, then

dV=π(√(4 - x²)+√(4 - x²))²dx;  =π(2√(4 - x²))²dx ⇒

dV= 4π(4-x²)dx , Integrating in both sides

∫dv=4π∫(4-x²)dx , we take ∫(4-x²)dx and we solve

4∫dx-∫x²dx = 4x-(x³/3) evaluated -2≤x≤2 or too 2 (0≤x≤2) , also

∫dv=8π∫(4-x²)dx evaluated 0≤x≤2

V=8π(4x-(x³/3)) = 8π(4.2-(2³/3)) = 8π(8-(8/3)) =(8π/3)(24-8) ⇒

V = 128π/3 vu

8 0
3 years ago
In the year 1995, there were 1200 students at pine elementary school. In the year 2010 there were 1500 students. Find the rate o
AnnZ [28]

The rate of change from 1995 to 2010 is 20 students per year and the linear function that models the data will be: y=20x-38700

<em><u>Explanation</u></em>

In the year 1995, there were 1200 students and in the year 2010, there were 1500 students.

If x represents the year and y represents the number of students, then two points in form of (x,y) will be: (1995, 1200) and (2010, 1500)

So, the rate of change or slope = (change in value of y / change in value of x) =\frac{1500-1200}{2010-1995}= \frac{300}{15}=20

Now, plugging  slope(m) = 20 and first point (x_{1}, y_{1}) =(1995,1200)  into <u>point slope form of linear equation</u> y-y_{1} =m(x-x_{1}) , we will get.....

y-1200=20(x-1995)\\ \\ y-1200=20x-39900\\ \\ y= 20x-39900+1200\\ \\ y= 20x-38700



4 0
3 years ago
Sorry I’m not very good with this type of math.
kaheart [24]

Answer:

91

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which property is represented in the example?
dybincka [34]
This is the distributive property; you're taking the 10 and giving it, or distributing it, to the 4 and the 3. the best way to remember it on sight is just thinking about what "distributing" means.
5 0
3 years ago
Read 2 more answers
A private jet can fly 1,095 miles in 3 hours with a tailwind but only 987 miles in 3 hours into a headwind find the speed of the
Verizon [17]

Answer:

The speed of the jet is 347 mph and the  speed of the wind is 18 mph.

Step-by-step explanation:

We have the following:

x = the speed of the jet in still air.

y = the speed of the wind

we know that the speed is equal to:

v = d / t

therefore the distance would be:

d = v * t

if we replace with the information of the exercise we have:

3 * (x + y) = 1095

3 * (x - y) = 987

we must solve this system of equations, add both equations and we are left:

3 * x + 3 * y = 1095

3 * x - 3 * y = 987

3 * x + 3 * y + 3 * x - 3 * y = 1095 + 987

6 * x = 2082

x = 2082/6 = 347

now to calculate y, we replace:

3 * (347 + y) = 1095

1041 + 3 * y = 1095

3 * y = 1095 - 1041

y = 54/3 = 18

The speed of the jet is 347 mph and the  speed of the wind is 18 mph.

8 0
3 years ago
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