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madreJ [45]
3 years ago
15

Part

Mathematics
1 answer:
olchik [2.2K]3 years ago
4 0

Answer:

900 cubic inches.

Step-by-step explanation:

<u>Given the following data;</u>

Volume of right circular cone = 300in³

We know that the volume of a right circular cone is given by the formula;

V = \frac {1}{3} \pi r^{2}h

Where;

  • V is the volume of right circular cone.
  • r is the radius of the base of the right circular cone.
  • h is the height of the right circular cone.

The volume of a right circular cylinder is given by the formula;

V = \pi r^{2}h

<em>Thus, multiplying the volume of the right circular cone by 3 would give us the volume of the right circular cylinder. </em>

V = \frac {1}{3} \pi r^{2}h * 3  

Substituting into the equation, we have;

V = 300 * 3

V = 900in³

<em>Therefore, the volume of a right cylinder that has the same base and height as the cone is 900 cubic inches. </em>

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A standard deck of cards consists of 52 cards. The colors are usually black for the spades and clubs and red for the hearts and diamonds.

Step-by-step explanation:

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Suppose a baseball player had 229 hits in a season. In the given probability distribution, the random variable x represents the
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Answer:

a) summation of p(x)/n ie. (0.1712+...+0.0051)/6=0.16675

b)1

c).var=summation (x-mean) squared /n ie (0.1712-0.16675)squared +...+(0.0051-0.16675)squared/n=0.027351948

SD =square root of variance =0.16538

Step-by-step explanation:

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3 years ago
F(b) = 7b^3 +8b and g(b) = b ^2+ b - 10. What is f(b)-g(b)?
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{ \bf{f(b) - g(b) : }} \\ { \tt{ = ( {7b}^{3} + 8b) - ( {b}^{2}   + b - 10)}} \\  = ( {7b}^{3}  -  {b}^{2}  + 7b + 10)

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The ticket price which will maximize the student's council is: C. $3.10.

<h3>What is price?</h3>

Price can be defined as an amount of money which is primarily set by the seller of a product, and it must be paid by a buyer to the seller, so as to enable the acquisition of this product.

Based on the information provided about Valley High School student council, we can logically deduce the following data:

  • Total number of students = 420 students.
  • Lowest ticket price = $2.00.
  • Increase in ticket price = $0.20.
  • Attendance = 20 fewer students

<h3>How to determine the ticket price?</h3>

Mathematically, the equation which model the profit is given by:

Profit = price × number of tickets sold

P(x) = (2 + 0.2x)(420 - 20x)

P(x) = 840 + 84x - 40x - 4x²

P(x) = -4x² + 44x + 840.

For any quadratic equation with a parabolic curve, the axis of symmetry is given by:

Xmax = -b/2a

Xmax = -44/2(-4)

Xmax = -44/-8.

Xmax = 5.5

Ticket price for maximum profit is given by:

Ticket price = 2 + 0.2x

Ticket price = 2 + 0.2(5.5)

Ticket price = $3.10.

Read more on maximized profit here: brainly.com/question/13800671

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8 0
2 years ago
A photo of a beetle in a science book is increased to 535​% as large as the actual size. If the beetle is 14 ​millimeters, what
AnnZ [28]

Answer: 74.9 millimeters

Step-by-step explanation:

From the question, a photo of a beetle in a science book was.increased to 535​% as large as its actual size and the beetle.has a actual size of 14 ​millimeters,

The size of the beetle on the photo will be 535% of 14 millimeters. This will be:

= 535% of 14

= 535/100 × 14

= 5.35 × 14

= 74.9 millimeters

4 0
3 years ago
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