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lisov135 [29]
3 years ago
10

the probability that a particular song is played is 76%. What is the probability that this song will be played on exactly 2 days

out of 6 days? Round your answer to the near
Mathematics
1 answer:
guapka [62]3 years ago
7 0

Answer:

0.0287

Step-by-step explanation:

Using the binomial probability relation :

p = 0.76

q = 1 - p = 1 - 0.76 = 0.24

P(x = x) = nCx * p^x * q^(n-x)

P(x = 2) = 6C2 * 0.76^2 * 0.24^4

P(x = 2) = 15 * 0.76^2 * 0.24^4

P(x = 2) = 0.02874507264

P(x = 2) = 0.0287

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The radius of a spherical ball is measured at r = 25 cm. Estimate the maximum error in the volume and surface area if r is accur
natulia [17]

Answer:

Volume = 2384.582 cm^3

Surface Area = 189.626 cm^2

Step-by-step explanation:

With the accuracy of r within 0.6 cm minimum & maximum values are 25-0.3 and 25+0.3 respectively.

Taking r = 25 cm

Volume = (4/3)*Pi*R3 = 65449.847

Surface Area = 4*Pi*R2 = 7853.982

The minimum possible values for Volume and surface area would be:

if r = 24.7 cm

Volume = (4/3)*Pi*R3 = 63121.814 cm^3

Surface Area = 4*Pi*R2 = 7666.617 cm^2

The maximum possible values for Volume and surface area would be:

if r = 25.3 cm

Volume = (4/3)*Pi*R3 = 67834.429 cm^3

Surface Area = 4*Pi*R2 = 8043.608 cm^2

Error from Minimum values:

Volume = 2328.033 cm^3

Surface Area = 187.365 cm^2

Error from Maximum values:

Volume = 2384.582 cm^3

Surface Area = 189.626 cm^2

3 0
3 years ago
PLS ANSWER ASAP ILL GIVE U BRAINLIEST<br><br> f(x) = 2x^2 + 8x + 5<br><br> Find the range
Lady_Fox [76]

Answer:

v min (-2;-3)

Step-by-step explanation:

its going to be a parabola with a minimum of (-2;-3) I hope it helps

5 0
3 years ago
What is the slope of the line shown below?
Sergio039 [100]

Answer:

Option D

Step-by-step explanation:

We are given the two points of (5, 11) and (-5, -1).

Use the slope formula.

m=\frac{rise}{run}=\frac{-1-11}{-5-5}  =\frac{-12}{-10} =\boxed{\frac{6}{5}}

The correct option should be Option D.

Hope this helps you.

7 0
3 years ago
I need help with number 5
Zielflug [23.3K]

Answer:

100.34÷2.9=34.6

Step-by-step explanation:

You will need to move the decimal point to the right one place

5 0
4 years ago
More on Areas. Farmer Jones, and his wife, Dr. Jones, both mathematicians, decide to build a fence in their field to keep the sh
Olin [163]

Answer:

Area covered by the fences will be 16.1 unit²

Step-by-step explanation:

Let the first parabola is represented by the function f(x) = 6x²

and second parabola by g(x) = x² + 9

point of intersection of the graphs will be determined when f(x) = g(x)

6x² = x² + 9

5x² = 9

x² = 1.8

x = ± 1.34

Now we will find the area between these curves drawn on the graph.

Area = \int_{-1.34}^{1.34}[f(x)-g(x)]dx=\int_{-1.34}^{1.34}[6x^{2}-(x^{2}+9)]dx

= \int_{-1.34}^{1.34}(5x^{2}-9)dx

= [\frac{5}{3}x^{3}-9x]_{-1.34}^{1.34}

= [\frac{5}{3}(-1.34)^{3}-9(-1.34)-\frac{5}{3}(1.34)^{3}+9(1.34)]

= [-4.01+12.06-4.01+12.06]

= 16.1 unit²

6 0
4 years ago
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