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umka21 [38]
3 years ago
15

I need to find the volume as a function of the diameter! Pls help!! :’D

Mathematics
1 answer:
Lelechka [254]3 years ago
8 0

Answer:

V=( 1/6 )* π * d³

Step-by-step explanation:

We khow that d= 2r⇒ r=d/2

  • so r³= d³/8
  • substitute r with d³/8
  • V= (4/3)*π*(d³/8) = (4/3*8)*d³*π = (1/6 )* d³ *π

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200 students in a high school senior class are surveyed about what majors they intend to declare in college. Of the 200 students
True [87]

Answer:

  • <u><em>P(M) = 0.4</em></u>

Explanation:

<u>1. Build a two-way frequency table:</u>

To have a complete understanding of the scenary build a two-way frequency table.

  • <u>Column and rows:</u>

                                  Major in math    No major in math  Total

Major in CS

No major in CS

Total

  • <u>200 students:</u>

                                  Major in math    No major in math  Total

Major in CS

No major in CS

Total                                                                                      200

  • <u>80 plan to major in mathematics:</u>

                                  Major in math    No major in math  Total

Major in CS

No major in CS

Total                              80                                                   200

  • <u>100 plan to major in computer science</u>:

                                  Major in math    No major in math  Total

Major in CS                                                                           100

No major in CS

Total                              80                                                   200

  • <u>30 plan to pursue a double major in mathematics and computer science</u>:

                                  Major in math    No major in math  Total

Major in CS                  30                                                      100

No major in CS

Total                              80                                                    200

  • <u>Complete the missing numbers by subtraction</u>:

                                  Major in math    No major in math  Total

Major in CS                   30                              70                 100

No major in CS                                                                     100

Total                              80                             120                200

                                  Major in math    No major in math  Total

Major in CS                   30                              70                 100

No major in CS             50                              50                 100

Total                              80                             120                200

<u>2. What is P(M), the probability that a student plans to major in mathematics?</u>

  • P(M) = number of students who plan to major in mathematics / number of students

  • P(M) = 80 / 200 = 0.4
7 0
3 years ago
$2,000 loan at 8% for 5 years.
Harman [31]

<u>Answer:</u>

  • $2,800 = Principle + Interest

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

Using PRT/100, let's find the interest.

  • => 2,000 x 8 x 5/100
  • => 20 x 8 x 5
  • => $800

<u>Conclusion: </u>

Therefore, the interest plus principle is 2,000 + 800, which is $2,800.

Hoped this helped.

BrainiacUser1357

8 0
3 years ago
Read 2 more answers
Jane needs to buy mulch to cover a circular garden
scoray [572]

Answer:

$3089.4

Step-by-step explanation:

A circle is a locus of a point such that its distance from a point known as the center is always constant.

The area of a circle is given by the formula:

Area = πr²; where r is the radius of the circle.

From the image attached, we can see that the garden is circular with a radius of 5.5 yard. Hence:

Amount of mulch needed to cover garden = area of garden = πr² = π(5.5)²  = 95 yd²

Since mulch cost $32.52 per square yard, hence:

Cost of mulch needed = $32.52 per yd² * 95 yd² = $3089.4

7 0
3 years ago
Whats the equation of the line that passes threw -4,4 and is parrell to the line y=1/2-4
vovangra [49]

Answer:

y=\frac{1}{2}x+6

Step-by-step explanation:

Given:

The equation of the known line is:

y=\frac{1}{2}x-4

A point on the unknown line is (-4, 4)

Now, since the two lines are parallel, their slopes must be equal.

Now, slope of the known line is the coefficient of 'x' which is \frac{1}{2}.

Therefore, the slope of the unknown line is also m=\frac{1}{2}

Now, for a line with slope 'm' and a point on it (x_1,y_1) is given as:

y-y_1=m(x-x_1)

Here, m=\frac{1}{2}, x_1=-4,y_1=4. Therefore,

y-4=\frac{1}{2}(x-(-4))\\\\y-4=\frac{1}{2}(x+4)\\\\y-4=\frac{1}{2}x+2\\\\y=\frac{1}{2}x+2+4\\\\y=\frac{1}{2}x+6

Hence, the equation of the unknown line is y=\frac{1}{2}x+6.

5 0
4 years ago
What is a triangle with three acute anglwa called
Roman55 [17]

It can be called an acute triangle, an isosceles triangle, or equiangular triangle (equilateral triangle)

7 0
3 years ago
Read 2 more answers
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