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2 years ago

10

Find the EXACT volume of the cone above. Show your work in the box below. Be sure to include correct units.

1 answer:

aniked [119]2 years ago

6 0

ok solo multiplicar por eso

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Suppose there are 4 defective batteries in a drawer with 10 batteries in it. A sample of 3 is taken at random without replacemen

SSSSS [86.1K]

Answer:

a.) 0.5

b.) 0.66

c.) 0.83

Step-by-step explanation:

As given,

Total Number of Batteries in the drawer = 10

Total Number of defective Batteries in the drawer = 4

⇒Total Number of non - defective Batteries in the drawer = 10 - 4 = 6

Now,

As, a sample of 3 is taken at random without replacement.

a.)

Getting exactly one defective battery means -

1 - from defective battery

2 - from non-defective battery

So,

Getting exactly 1 defective battery = ⁴C₁ × ⁶C₂ = $\frac{4!}{1! (4 - 1 )!}$ × $\frac{6!}{2! (6 - 2 )!}$

= $\frac{4!}{(3)!}$ × $\frac{6!}{2! (4)!}$

= $\frac{4.3!}{(3)!}$ × $\frac{6.5.4!}{2! (4)!}$

= $4$ × $\frac{6.5}{2.1! }$

= $4$ × $15$ = 60

Total Number of possibility = ¹⁰C₃ = $\frac{10!}{3! (10-3)!}$

= $\frac{10!}{3! (7)!}$

= $\frac{10.9.8.7!}{3! (7)!}$

= $\frac{10.9.8}{3.2.1!}$

= 120

So, probability = $\frac{60}{120} = \frac{1}{2} = 0.5$

b.)

at most one defective battery :

⇒either the defective battery is 1 or 0

If the defective battery is 1 , then 2 non defective

Possibility = ⁴C₁ × ⁶C₂ = 60

If the defective battery is 0 , then 3 non defective

Possibility = ⁴C₀ × ⁶C₃

= $\frac{4!}{0! (4 - 0)!}$ × $\frac{6!}{3! (6 - 3)!}$

= $\frac{4!}{(4)!}$ × $\frac{6!}{3! (3)!}$

= 1 × $\frac{6.5.4.3!}{3.2.1! (3)!}$

= 1× $\frac{6.5.4}{3.2.1! }$

= 1 × 20 = 20

getting at most 1 defective battery = 60 + 20 = 80

Probability = $\frac{80}{120} = \frac{8}{12} = 0.66$

c.)

at least one defective battery :

⇒either the defective battery is 1 or 2 or 3

If the defective battery is 1 , then 2 non defective

Possibility = ⁴C₁ × ⁶C₂ = 60

If the defective battery is 2 , then 1 non defective

Possibility = ⁴C₂ × ⁶C₁

= $\frac{4!}{2! (4 - 2)!}$ × $\frac{6!}{1! (6 - 1)!}$

= $\frac{4!}{2! (2)!}$ × $\frac{6!}{1! (5)!}$

= $\frac{4.3.2!}{2! (2)!}$ × $\frac{6.5!}{1! (5)!}$

= $\frac{4.3}{2.1!}$ × $\frac{6}{1}$

= 6 × 6 = 36

If the defective battery is 3 , then 0 non defective

Possibility = ⁴C₃ × ⁶C₀

= $\frac{4!}{3! (4 - 3)!}$ × $\frac{6!}{0! (6 - 0)!}$

= $\frac{4!}{3! (1)!}$ × $\frac{6!}{(6)!}$

= $\frac{4.3!}{3!}$ × 1

= 4×1 = 4

getting at most 1 defective battery = 60 + 36 + 4 = 100

Probability = $\frac{100}{120} = \frac{10}{12} = 0.83$

3 0

2 years ago

Can someone pleaseeee help if you’re correct I’ll give u brainlist

Effectus [21]

<em><u>Answer:</u></em>

The answer is 70 degrees.

<em><u>Step-by-step explanation:</u></em>

1. All the angles in a circle add up to 360, and the red square thing in the TVU angle means it's a 90 degree angle.

2. Add 150 plus 50 plus 90 = 290

3. 360 degrees (total) - 290 degrees = 70 degrees! :)

3 0

2 years ago

While playing volleyball, Ralph drank 3/4 of a jug of water. If the jug held 64 fluid ounces of water, how much water did Ralph

arsen [322]

Answer:

48

Step-by-step explanation:

no explanation im just big brain

7 0

3 years ago

Round to the nearest ten <br><br><br><br> Pease I need this fast

mariarad [96]

Answer:

what is it round what to the nearest ten what

Step-by-step explanation:

6 0

3 years ago

A diver is standing on a spring board 24 feet above the pool. She jumps from the platform with an initial upward velocity of 8fe

sweet [91]

It would take 1.5 seconds for the diver standing on a spring board 24 feet above the pool to hit the water.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that d represent the height of the diver above the water and t is the time in seconds.

d(t) = -16(2t - 3)(t + 1)

The diver hit the water at d(t) = 0, hence:

0 = -16(2t - 3)(t + 1)

2t - 3 = 0; or t + 1 = 0

t = 1.5 seconds

It would take 1.5 seconds for the diver standing on a spring board 24 feet above the pool to hit the water.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

8 0

2 years ago