What is the Height of tree

Find the volume of this sphere.

Sholpan [36]

<h3>Calculate the volume of the sphere</h3>

To start finding the volume of this sphere, we get the following data:

π = 3
r = 2 ft²

To find the volume we apply the following formula:

$\boldsymbol{\sf{V= \dfrac{3}{4}\pi r^{2} }}$ , where

v = volume
π = pi
r = radius

We substitute our data in the formula and solve:

Substituting values into the equation

$\boldsymbol{\sf{V=\dfrac{3}{4}*3*(2 \ ft)^{3} }}$

Calculate exponent cubed

$\boldsymbol{\sf{V=\dfrac{3}{4}*3*8 \ ft^{3} }}$

Multiplying

$\boxed{\boldsymbol{\sf{V=32 \ ft^{3} }}}$

Therefore, the volume of the sphere is 32 ft³.

8 0

2 years ago

Read 2 more answers

∠A and ∠B are supplementary. m∠A = (6x + 5), m∠B = (2x + 15). Find the measure of each angle.

Anastaziya [24]

Answer:

125 and 55

Step-by-step explanation:

180=8x+20

160=8x

x=20

6(20)+5 2(20)+15=

120+5=125 degrees 40+15=55 degrees

4 0

3 years ago

What is the area of the actual square window

Naily [24]

Answer: 2.25 meters

Step-by-step explanation: 1 in = 2 meters. 0.75 is 75 percent of 1 so the length of the window is 75 percent of 2 which is 1.5. 1.5 squared is 2.25 so the length of the window is 2.25 meters

7 0

1 year ago

An article reports that 1 in 500 people carry the defective gene that causes inherited colon cancer. In a sample of 2000 individ

Tema [17]

Answer:

a) P=0.558

b) P=0.021

Step-by-step explanation:

We can model this random variable as a Poisson distribution with parameter λ=1/500*2000=4.

The approximate distribution of the number who carry this gene in a sample of 2000 individuals is:

$P(x=k)=\frac{\lambda^ke^{-\lambda}}{k!} =\frac{4^ke^{-4}}{k!}$

a) We can calculate that the approximate probability that between 4 and 9 (inclusive) as:

$P(4\leq x\leq 9)=\sum_{k=4}^9P(k)\\\\\\ P(4)=4^{4} \cdot e^{-4}/4!=256*0.0183/24=0.195\\\\P(5)=4^{5} \cdot e^{-4}/5!=1024*0.0183/120=0.156\\\\P(6)=4^{6} \cdot e^{-4}/6!=4096*0.0183/720=0.104\\\\P(7)=4^{7} \cdot e^{-4}/7!=16384*0.0183/5040=0.06\\\\P(8)=4^{8} \cdot e^{-4}/8!=65536*0.0183/40320=0.03\\\\P(9)=4^{9} \cdot e^{-4}/9!=262144*0.0183/362880=0.013\\\\\\$

$P(4\leq x\leq 9)=\sum_{k=4}^9P(k)=0.195+0.156+0.104+0.060+0.030+0.013=0.558$

b) The approximate probability that at least 9 carry the gene is:

$P(x\geq9)=1-P(x\leq 8)\\\\\\$

$P(0)=4^{0} \cdot e^{-4}/0!=1*0.0183/1=0.018\\\\P(1)=4^{1} \cdot e^{-4}/1!=4*0.0183/1=0.073\\\\P(2)=4^{2} \cdot e^{-4}/2!=16*0.0183/2=0.147\\\\P(3)=4^{3} \cdot e^{-4}/3!=64*0.0183/6=0.195\\\\P(4)=4^{4} \cdot e^{-4}/4!=256*0.0183/24=0.195\\\\P(5)=4^{5} \cdot e^{-4}/5!=1024*0.0183/120=0.156\\\\P(6)=4^{6} \cdot e^{-4}/6!=4096*0.0183/720=0.104\\\\P(7)=4^{7} \cdot e^{-4}/7!=16384*0.0183/5040=0.06\\\\P(8)=4^{8} \cdot e^{-4}/8!=65536*0.0183/40320=0.03\\\\$

$P(x\geq9)=1-P(x\leq 8)\\\\P(x\geq9)=1-(0.018+0.073+0.147+0.195+0.195+0.156+0.104+0.060+0.030)\\\\P(x\geq9)=1-0.979=0.021$

8 0

2 years ago

Deon finished his math assignment in 2/5 hours. Then he completed his chemistry assignment in 1/2 hours. How much more time did

ipn [44]

Answer:

Deon spent 1/10 of an hour more on chemistry than on math

Step-by-step explanation:

7 0

2 years ago