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ololo11 [35]
3 years ago
5

Find the volume of a sphere with radius 2 feet. Round your answer to the nearest hundredth.

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
4 0

Answer:

V=33.51ft^3

Step-by-step explanation:

Remember the formula:

V=\frac{4}{3} \pi r^3

V= Volume r= radius

V=\frac{4}{3} \pi 2^3= 33.51032

Round your answer to the nearest hundredth.

V=33.51ft^3

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Lotteries are an important income source for various governments around the world. However, the availability of lotteries and ot
SashulF [63]

Answer: 0.0473

Step-by-step explanation:

Given : The proportion of gambling addicts : p=0.30

Let x be the binomial variable that represents the number of persons are gambling addicts.

with parameter p=0.30 , n= 10

Using Binomial formula ,

P(x)=^nC_xp^x(1-p)^{n-x}

The required probability = P(x>5)=P(6)+P(7)+P(8)+P(9)+P(10)\\\\=^{10}C_6(0.3)^6(0.7)^{4}+^{10}C_7(0.3)^7(0.7)^{3}+^{10}C_8(0.3)^8(0.7)^{2}+^{10}C_9(0.3)^9(0.7)^{1}+^{10}C_{10}(0.3)^{10}(0.7)^{0}\\\\=\dfrac{10!}{4!6!}(0.3)^6(0.7)^{4}+\dfrac{10!}{3!7!}(0.3)^7(0.7)^{3}+\dfrac{10!}{2!8!}(0.3)^8(0.7)^{2}+\dfrac{10!}{9!1!}(0.3)^9(0.7)^{1}+(1)(0.3)^{10}\\\\=0.0473489874\approx0.0473

Hence, the required probability = 0.0473

5 0
2 years ago
A conference room is in the shape of a rectangle. Its floor has a length of (x − 4) meters and a width of (3x − 1) meters. The e
Naddik [55]

Answer:

3x^2−13x+4

Step-by-step explanation:

(x−4)(3x−1)

=(x+−4)(3x+−1)

=(x)(3x)+(x)(−1)+(−4)(3x)+(−4)(−1)

=3x^2−x−12x+4

=3x^2−13x+4

7 0
3 years ago
Read 2 more answers
HELP PLEASE! IMAGE ATTACHED
Misha Larkins [42]

Answer:

I cannot see the picture it just shows the image logo

Step-by-step explanation:

6 0
3 years ago
Find the nth term 11, 22,33,44<br> I WILL GIVE THE BRAINIEST TO WHOEVER ANSWERS FIRST CORRECTLY!!!
aksik [14]

Answer:

common difference(d) = 11

first term (a)=11

then the nth term

=a+(n-1)d

=11+ (n-1)*11

=11+11n-11

=11n

4 0
2 years ago
!!30 POINTS!!
lana66690 [7]
For this case we have the following functions:
 f (x) = 3x + 4
 g (x) = 2 ^ x - 1
 The intersection with the y axis of the original functions is:
 f (0) = 3 (0) + 4 = 0 + 4 = 4
 g (0) = 2 ^ 0 - 1 = 1 - 1 = 0
 The transformations that must be applied so that they have the same intersection with the y axis are:
 f (x) - 3
 g (x) + 1
 Answer:
 
f (x) - 3
 
g (x) + 1
 
option 1
8 0
2 years ago
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