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nasty-shy [4]
3 years ago
14

The article "Should You Report That Fender-Bender?"† reported that 7 in 10 auto accidents involve a single vehicle. Suppose 11 a

ccidents are randomly selected. (Round your answers to five decimal places.)
What is the probability that exactly nine involve multiple vehicles?
Mathematics
1 answer:
Bumek [7]3 years ago
3 0

Answer:

0.19975

Step-by-step explanation:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

Given:

n = 11

r = 9

p = 0.7

q = 0.3

Plugging in values:

P = ₁₁C₉ (0.7⁹) (0.3¹¹⁻⁹)

P = 0.19975

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( 2 • 10^6 ) * ( 6 • 10^7 )
Hitman42 [59]

Answer:

120,000,000,000,000

Step-by-step explanation:

(2×10^6)= 2,000,000

(6×10^7)=60,000,000

2,000,000×60,000,000=120,000,000,000,000

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2 years ago
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Find the value of 4^2 + 6^2
seraphim [82]

Answer:

52

Step-by-step explanation:

4^2=4×4=16

6^2=6×6=36

16+36=52

4 0
3 years ago
It cost $5.00 per ticket to see the school play. If the school made $575 in sales how many tickets did they sell? Write and solv
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Answer:

115

Step-by-step explanation:

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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27 pi feet cubed.
LenaWriter [7]

Answer:

C. V = two-thirds (27)

Step-by-step explanation:

Given

Solid Shapes: Cylinder and Sphere

Volume of Cylinder = 27π ft³

Required

Volume of the sphere.

From the question,

<u>We have that</u>

1.  The volume of the sphere is the same as the volume of the cylinder

2. The height of the sphere is the same as the height of the cylinder.

From (2) above;

This means that the height of the cylinder equals the diameter of the sphere.

Let h represent the height of the sphere and d represent the diameter of sphere.

Mathematical, d = h

Recall that radius, r = r = \frac{d}{2}

Substitute h for d in the above expression

r = \frac{h}{2}. ----- (take note of this)

Calculating the volume of a cylinder.

V = πr²h

Recall that  V = 27; This gives us

27 = πr²h

Divide both sides by h

\pi r^2 = \frac{27}{h}

-------------------

Calculating the volume of a sphere

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

Expand the above expression

V = \frac{4}{3}\pi r^2 * r

Substitute \pi r^2 = \frac{27}{h}

V = \frac{4}{3} * \frac{27}{h} * r

Recall that r = \frac{h}{2}

So,

V = \frac{4}{3} * \frac{27}{h} * \frac{h}{2}

V = \frac{4}{3} * \frac{27}{2}

V = \frac{2}{3} * 27

V = \frac{2}{3} (27)

V = two-third (27)

4 0
3 years ago
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