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3 years ago

15

Helppppppppppp me please

1 answer:

Scilla [17]3 years ago

7 0

Answer:

18.85 rounded

Step-by-step explanation:

The length of an arc depends on the radius of a circle and the central angle Θ. We know that for the angle equal to 360 degrees (2π), the arc length is equal to circumference. Hence, as the proportion between angle and arc length is constant, we can say that:

L / Θ = C / 2π

As circumference C = 2πr,

L / Θ = 2πr / 2π

L / Θ = r

We find out the arc length formula when multiplying this equation by Θ:

L = r * Θ

Hence, the arc length is equal to radius multiplied by the central angle (in radians).

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Which of the following tools should be used to calculate the most accurate model for a set of data?

elena55 [62]

Answer:

graphing calculator

Step-by-step explanation:

What kind of question us this (M & M's would be good though)

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2 years ago

Read 2 more answers

5x + 7 = 2 what is X<br><br> A.x = -1<br> B.x = 1<br> C.x = 6<br> D.x = -6

ohaa [14]

Answer:

-1

Step-by-step explanation:

4 0

2 years ago

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Solve using a suitable inverse operation:

Olenka [21]

Answer:

a = - 10

Step-by-step explanation:

Given

$\frac{a}{5}$ = - 2

a is divided by 2. The inverse operation to division is multiplication, thus

Multiply both sides by 5 to clear the fraction

a = 5 × - 2 = - 10

7 0

2 years ago

Calculate the Volume<br> Pls help

elena-14-01-66 [18.8K]

Answer:

420

Step-by-step explanation:

Multiply length, times width, times height to get your answer.

7 times 12 times 5=420

3 0

2 years ago

An Airliner has a capacity for 300 passengers. If the company overbook a flight with 320 passengers, What is the probability tha

TEA [102]

Answer:

The probability is $P(X >300 ) = 0.97219$

Step-by-step explanation:

From the question we are told that

The capacity of an Airliner is k = 300 passengers

The sample size n = 320 passengers

The probability the a randomly selected passenger shows up on to the airport

$p = 0.96$

Generally the mean is mathematically represented as

$\mu = n* p$

=> $\mu = 320 * 0.96$

=> $\mu = 307.2$

Generally the standard deviation is

$\sigma = \sqrt{n * p * (1 -p ) }$

=> $\sigma = \sqrt{320 * 0.96 * (1 -0.96 ) }$

=> $\sigma =3.50$

Applying Normal approximation of binomial distribution

Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as

$P(X > k ) = P( \frac{ X -\mu }{\sigma } > \frac{k - \mu}{\sigma } )$

Here $\frac{ X -\mu }{\sigma } =Z (The \ standardized \ value \ of \ X )$

=> $P(X >300 ) = P(Z > \frac{300 - 307.2}{3.50} )$

Now applying continuity correction we have

$P(X >300 ) = P(Z > \frac{[300+0.5] - 307.2}{3.50} )$

=> $P(X >300 ) = P(Z > \frac{[300.5] - 307.2}{3.50} )$

=> $P(X >300 ) = P(Z > -1.914 )$

From the z-table

$P(Z > -1.914 ) = 0.97219$

So

$P(X >300 ) = 0.97219$

8 0

2 years ago