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3 years ago

Find the area of each sector. Use exact answers

Mathematics

1 answer:

katrin [286]3 years ago

3 0

Answer:

A) 30π mi²

Step-by-step explanation:

area of full circle = πr² = (3.14)(6²) = 113.04 mi²

area of 5π/3 segment = (113.04)(5π/3)/2π) = 94.2 mi² = 30π mi²

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A new surgery is successful 70% of the time , if the results of 8 such surgeries are randomly sampled, what is the probability t

il63 [147K]

Answer:

P (x>5) = 0.5324014=0.523

Step-by-step explanation:

Here success = p= 0.7 and failure = q= 1-p= 1-0.7 = 0.3

Number of surgeries= n= 8

Applying the binomial distribution

( p+q) ^n= nC x p^x . q^n-x

More than 5 means 6,7, and 8

( p+q) ^8= 8C 5 (0.7)^5 . (0.3)^3

=56* 0.16807*0.027

= 0.254121

( p+q) ^8= 8C 6 (0.7)^6 . (0.3)^2

= 28* 0.1177* 0.09

= 0.296604

( p+q) ^8= 8C 7 (0.7)^7 . (0.3)^1

= 8* 0.0824* 0.3

= 0.19776

( p+q) ^8= 8C8 (0.7)^8 . (0.3)^0

= 1* 0.05765* 1

=0.05765

Adding the above all probabilities gives

P (x>5) = P (x=6) + P(x=7) + P(x=8)

= 0.296604+0.19776+0.05765

= 0.5324014

7 0

3 years ago

What are the x- intercepts of the graph of the function below ? Y=x^2-4x-32

kirill [66]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

At 2:00 PM a car's speedometer reads 30 mi/h. At 2:20 PM it reads 50 mi/h. Show that at some time between 2:00 and 2:20 the acce

storchak [24]

Answer:

The correct answer will be "60 min/hour".

Step-by-step explanation:

At time 2:00 PM

A car reads = 30 mi/h

At time 2:20 PM

A car reads = 50 mi/h

Now,

At time 2:00 PM

t = 0

At time 2:20 PM

t = $\frac{1}{3}$

$v(0)=30$

$v(\frac{1}{3})=50$

For MVT,

$v'(c)=\frac{v(\frac{1}{3} -v(0))}{(\frac{1}{3} )}$

$=\frac{20}{\frac{1}{3} }$

$=60 \ min/hour$

5 0

3 years ago

A. 207.5ft

julia-pushkina [17]

Law of cosines:

a^2 = b^2 + c^2 -2 *b*c*coa(a)

a^2 = 60.5^2 + 257^2 - 2*60.5*257*cos(31)

a^2 = 3660.25 + 66049 - 2 *60.5 * 257 * 0.857167

a^2 = 3660.25 + 66049 - 26655.33

a^2 = 43053.92

a = SQRT(43053.92)

a = 207.49 = 207.5 feet.

The answer is A.

6 0

3 years ago

I need some help

Firdavs [7]

<span>The best answer to this problem is 0.0823. np = 48 * 1/4 = 12 The exactly 15 would be written as 14.5 to 15.5. You then plug those into you equation separately. e1= (14.5-12)/3 = 0.833 and e2 =(15.5 - 12)/3 = 1.167) p(0.833<e<1.167)= 0.0808</span>

7 0

3 years ago