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Yanka [14]
3 years ago
11

What is the volume?

Mathematics
1 answer:
kogti [31]3 years ago
4 0

Answer:

1282.82ft³

Step-by-step explanation:

To find the volume of the entire shape, we first need to find the volume of the cone and the cylinder separately.

Let's begin by getting the volume of the cylinder.

The formula to find the volume of a cylinder is:

V=\pi r^{2}h

r = 7 ft

h = 6 ft

Let's plug in our values into the formula.

V=\pi (7)^{2}6

V=\pi (49)6

V=\pi (294)

V=923.63ft³

Now that we have the volume of our cylinder we need to find the volume of the cone.

The volume of the cone can be found by using the formula:

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

Our variables for the cone are:

r = 7 ft

h = 7 ft

V=\dfrac{1}{3}\pi (7)^{2}(7)

V=\dfrac{1}{3}\pi (49)(7)

V=\dfrac{1}{3}\pi (343)

V=\dfrac{1}{3}1077.57

V=359.19ft³

Now that we found both of the volumes of the two shapes, we can then simply get the sum of both volumes to get the total volume of the shape.

Total Volume = 923.63ft³ + 359.19ft³

Total Volume = 1282.82ft³

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Fishermen fishing for spiny lobster are allowed to keep only lobsters with a carapace length of 3.25 inches or longer. (Than car
ser-zykov [4K]

Answer:

16%

Step-by-step explanation:

First we start by solving for the z score

We have the following information

x = 3.25

Standard deviation = sd = 2.25

Mean = 5.50

Z = (x - mean)/sd

z = 3.25 - 5.50/2 25

z = -1.00

If we look this up in the standard normal distribution table,

P(z<-1.00) = 0.1587

Which when approximated gives us

16%

Therefore approximately 16% of lobsters will have to be returned back to the sea.

4 0
3 years ago
Need some math help thanks in advance!
vredina [299]

Answer:

x = 10

y = 6

Step-by-step explanation:

<u>Vertical Angle Theorem</u>:  When two straight lines intersect, the opposite vertical angles are always equal to each other.

⇒ m∠1 = m∠3   and   m∠2 = m∠4

⇒ m∠1 = m∠3

⇒ 10x = 100

⇒ x = 10

<u>Linear pair:</u>  Two adjacent angles which sum to 180°.

⇒ m∠1 + m∠2 = 180°

⇒ m∠3 + m∠4 = 180°

⇒ 100 + 10y + 20 = 180

⇒ 120 + 10y = 180

⇒ 10y = 60

⇒ y = 6

7 0
2 years ago
Y is inversely proportional to (x + 2)
Ostrovityanka [42]

Answer:

y*(x+2)=k

so y= k/(x+2)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
In 1898 L. J. Bortkiewicz published a book entitled The Law of Small Numbers. He used data collected over 20 years to show that
attashe74 [19]

Answer:

(a) The probability of more than one death in a corps in a year is 0.1252.

(b) The probability of no deaths in a corps over 7 years is 0.0130.

Step-by-step explanation:

Let <em>X</em> = number of soldiers killed by horse kicks in 1 year.

The random variable X\sim Poisson(\lambda = 0.62).

The probability function of a Poisson distribution is:

P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,...

(a)

Compute the probability of more than one death in a corps in a year as follows:

P (X > 1) = 1 - P (X ≤ 1)

             = 1 - P (X = 0) - P (X = 1)

             =1-\frac{e^{-0.62}(0.62)^{0}}{0!}-\frac{e^{-0.62}(0.62)^{1}}{1!}\\=1-0.54335-0.33144\\=0.12521\\\approx0.1252

Thus, the probability of more than one death in a corps in a year is 0.1252.

(b)

The average deaths over 7 year period is: \lambda=7\times0.62=4.34

Compute the probability of no deaths in a corps over 7 years as follows:

P(X=0)=\frac{e^{-4.34}(4.34)^{0}}{0!}=0.01304\approx0.0130

Thus, the probability of no deaths in a corps over 7 years is 0.0130.

6 0
3 years ago
Peri spent 40% of her money on books and 50% of the rest on toys. She has $21. How much money did she have first.
Vlad1618 [11]
40/100 + 50/100 = 90/100

il lui reste  10/100 ou 21 $

10 % = 21 $
100 % = 210 $
6 0
3 years ago
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