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Eduardwww [97]
2 years ago
14

What is the total surface area of a sphere if its radius is 6m?

Mathematics
2 answers:
Alexus [3.1K]2 years ago
7 0
The answer is 452.16
Agata [3.3K]2 years ago
5 0

Answer:

452.16 m^2

Step-by-step explanation:

The surface area of a sphere is given by

A=4πr^2

  = 4 * π * ( 6)^2

  = 4 * π *36

   144 π

Letting pi = 3.14

A is approximately 452.16 m^2

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Determine the x-intercepts of the function. Check all that apply. (–2, 0) (–1, –2) (0, 0) (1, 0) (2, 0)
blagie [28]

it's (0, 0) and (-2, 0) so A & C

8 0
3 years ago
Read 2 more answers
A given population proportion is .25. What is the probability of getting each of the following sample proportions
anyanavicka [17]

This question is incomplete, the complete question is;

A given population proportion is .25. What is the probability of getting each of the following sample proportions

a) n = 110 and = p^ ≤ 0.21, prob = ?

b) n = 33 and p^ > 0.24, prob = ?

Round all z values to 2 decimal places. Round all intermediate calculation and answers to 4 decimal places.)

Answer:

a) the probability of getting the sample proportion is 0.1660

b) the probability of getting the sample proportion is 0.5517

Step-by-step explanation:

Given the data in the questions

a)

population proportion = 0.25

q = 1 - p = 1 - 0.25 = 0.75

sample size n = 110

mean = μ = 0.25

S.D = √( p( 1 - p) / n ) = √(0.25( 1 - 0.25) / 110 ) √( 0.1875 / 110 ) = 0.0413

Now, P( p^ ≤ 0.21 )

= P[ (( p^ - μ ) /S.D) < (( 0.21 - μ ) / S.D)

= P[ Z < ( 0.21 - 0.25 ) / 0.0413)

= P[ Z < -0.04 / 0.0413]

= P[ Z < -0.97 ]

from z-score table

P( X ≤ 0.21 ) = 0.1660

Therefore, the probability of getting the sample proportion is 0.1660

b)

population proportion = 0.25

q = 1 - p = 1 - 0.25 = 0.75

sample size n = 33

mean = μ = 0.25

S.D = √( p( 1 - p) / n ) = √(0.25( 1 - 0.25) / 33 ) = √( 0.1875 / 33 ) = 0.0754

Now, P( p^ > 0.24 )  

= P[ (( p^ - μ ) /S.D) > (( 0.24 - μ ) / S.D)

= P[ Z > ( 0.24 - 0.25 ) / 0.0754 )

= P[ Z > -0.01 / 0.0754  ]

= P[ Z > -0.13 ]

= 1 - P[ Z < -0.13 ]

from z-score table

{P[ Z < -0.13 ] = 0.4483}

1 - 0.4483

P( p^ > 0.24 )  = 0.5517

Therefore, the probability of getting the sample proportion is 0.5517

6 0
2 years ago
Estimate. Then record the product. 640×3=
ExtremeBDS [4]
You could estimate by doing 600x3=1800
(becasuse of the 0's in 600 it is easier to do 6*3=18 and then add two 0's to the end 1800)
then you simply multiple 640x3=1920
4 0
2 years ago
The fourth question
kodGreya [7K]

Step-by-step explanation:

Given:

AD is the bisector of ∠BAC

∠CPD = ∠BPD

1) ∠CAP = ∠BAP

Reason: definition of angle bisector

2) ∠CPD = 180 − ∠APC, ∠BPD = 180 − ∠APB

Reason: definition of supplementary angles

3) 180 − ∠APC = 180 − ∠APB

Reason: substitution

4) ∠APC = ∠APB

Reason: algebra

5) AP = AP

Reason: reflexive property

6) ΔAPC ≅ ΔAPB

Reason: ASA congruence

4 0
3 years ago
Please help me out if you can!
Mkey [24]

Ok so we know that consecutive angles are supplementary and the diagonals bisect the angels so

2x-15+3x=90

5x=105

X=21

7 0
2 years ago
Read 2 more answers
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