All categories

3 years ago

Can someone help me with this question

Mathematics

1 answer:

horsena [70]3 years ago

6 0

Step-by-step explanation:

Given: diameter = 16 in

hence radius, r is 16 ÷ 2 = 8 in

a) notice that the fan blades divide the circle into 3 equal sectors.

Each sector is hence 1/3 of the entire circumference of the circle

Arc Length of each sector (between blades),

= (1/3) x circumference

= (1/3) x 2πr

= (1/3) x 2 x 3.142 x 8

= 16.76 in (Answer)

b) similarly, the area between the blades

= (1/3) x πr²

= (1/3) x 3.142 x 8²

= 67.03 in² (answer)

c) The angular velocity is the radians per second that the tip moves

It is given that it moves 8π radians in 2 seconds

hence in 1 second, we expect the tip to move,

8π ÷ 2 = 4π rad/s (Answer)

You might be interested in

You want to use a coordinate proof to prove that midsegment DE of ABC is parallel to AC and half the length of AC. Which is the

vazorg [7]

Answer:

the third one answer choice

Step-by-step explanation:

⊕ Place the triangle on a coordinate grid such that vertex A is at the origin, and segment AC lies on the x-axis.

You will be able to see the length of segment AC and length of segment DE, and also will be able to see if AC║DE.

4 0

2 years ago

f a random sample of 300 adults is taken from the state of Colorado, where the rate of obesity is 19.8%, can we use the Normal a

Troyanec [42]

Answer:

Probability of at least 50 obese individuals in our sample is 0.92364 .

Step-by-step explanation:

We are given that a random sample of 300 adults is taken from the state of Colorado, where the rate of obesity is 19.8% .

Let X = Number of obese individuals

Firstly, X ~ $Binom(n=300,p=0.198)$

For approximating binomial distribution into normal distribution, firstly we have to calculate $\mu$ and $\sigma^{2}$ .

Mean of Normal distribution, $\mu$ = n * p = 300 * 0.198 = 59.4

Variance of Normal distribution, $\sigma^{2}$ = n * p * (1-p) = 300 *0.198 *0.802 = 47.64

So, now X ~ N( $\mu = 59.4 , \sigma^{2} = 47.64$ )

The standard normal z score distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

So, probability of at least 50 obese individuals in our sample = P(X >= 50)

P(X >= 50) = P(X > 49.5) {using continuity correction}

P(X > 49.5) = P( $\frac{X-\mu}{\sigma}$ > $\frac{49.5 - 59.4}{6.9}$ ) = P(Z > -1.43) = P(Z < 1.43) = 0.92364

Therefore, required probability is 0.92364 .

8 0

3 years ago

On a cruise ship, 400 passengers are adults and 350 are children. What percent of passengers are adults?

kkurt [141]

Step-by-step explanation:

percentage of adults= number of adults over total number of persons times 100;

400/400+350*100

400/750*100

40/75*100

8/15*100

8/3*20

160/3

=53.3%

3 0

2 years ago

The sum of 3 consecutive even integers is 66. What is the value of the greatest integer?

timama [110]

Answer: 20 22 24 would be all three of your integers, adn 24 would be the greatest one

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Need help in less than 5 minutes brainliest to the first/most helpful answer!! Need it speedy!!!!

Sonbull [250]

Answer:

1.) True

2.) False

3.) True

4.) True

6 0

2 years ago