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coldgirl [10]
4 years ago
10

The diameter d of a sphere is twice the radius r. The volume of the sphere as a function of its radius is given by v(r)= 4/3(3.4

)(r)^3 A) write the diameter d of the sphere as a function of the radius r
Mathematics
1 answer:
Goryan [66]4 years ago
5 0

Answer:

  A)  d = 2r

Step-by-step explanation:

A) The first sentence in the problem statement tells you the diameter is twice the radius:

  d = 2r

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Fill in the other coordinate for the line 2x - 5y = 11: (4, )
enot [183]
2x - 5y = 11.              (4, a).  x = 4, y = a

Substituting into 2x - 5y = 11

2(4) - 5(a) = 11

8 - 5a = 11

-5a = 11 - 8

-5a = 3

a = 3/-5 = -3/5 =- 0.6

Other coordinate =  -3/5 = -0.6
5 0
4 years ago
The number of typographical errors on a page of the first booklet is a Poisson random variable with mean 0.2. The number of typo
muminat

Answer:

The required probability is 0.55404.

Step-by-step explanation:

Consider the provided information.

The number of typographical errors on a page of the first booklet is a Poisson random variable with mean 0.2. The number of typographical errors on a page of second booklet is a Poisson random variable with mean 0.3.

Average error for 7 pages booklet and 5 pages booklet series is:

λ = 0.2×7 + 0.3×5 = 2.9

According to Poisson distribution: {\displaystyle P(k{\text{ events in interval}})={\frac {\lambda ^{k}e^{-\lambda }}{k!}}}

Where \lambda is average number of events.

The probability of more than 2 typographical errors in the two booklets in total is:

P(k > 2)= 1 - {P(k = 0) + P(k = 1) + P(k = 2)}

Substitute the respective values in the above formula.

P(k > 2)= 1 - ({\frac {2.9 ^{0}e^{-2.9}}{0!}} + \frac {2.9 ^{1}e^{-2.9}}{1!}} + \frac {2.9 ^{2}e^{-2.9}}{2!}})

P(k > 2)= 1 - (0.44596)

P(k > 2)=0.55404

Hence, the required probability is 0.55404.

4 0
3 years ago
What is the answer to 591 ÷ 73
nadezda [96]
<span>8.09 is the answer :)</span>
4 0
3 years ago
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Which percent is equivalent to 5/1000?
Yuliya22 [10]
The answer to this question is 0.5%
4 0
3 years ago
Write the equation of the line that passes through the points (-5, 21) and (4, -15) in standard form
saveliy_v [14]

Answer:

y = -4x + 1

Step-by-step explanation:

The line passes through points (-5,21) and (-4,15)

Slope(m) = change in y ÷ change in x

m = \frac{-15 - 21}{4 - -5}

m = \frac{-15 - 21}{4 + 5} = -36/9 = -4

Taking another point (x,y) on the line and comparing it with point (4,-15):

-4 = \frac{y + 15}{x - 4}

Cross multiplying gives:

y + 15 = -4x + 16

y = -4x + 1

5 0
4 years ago
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