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2 years ago

If an object rotates at 22 rotations per minute what is the angular speed of one object?

Mathematics

1 answer:

marshall27 [118]2 years ago

8 0

Answer:

5720 degrees per min; 95.33... degrees per second.

Step-by-step explanation:

If an object is rotating 22 times, note that each rotation is 360 degrees, so you do 22 * 360 to get 5720.

Now if you need it in the units of seconds, just divide the degrees of rotation by 60.

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Julio bought 4 pounds of apples and one bag of oranges at the store. The apples cost $1.75 per pound and the bag of oranges cost

vaieri [72.5K]

Answer: $9.99

Step-by-step explanation:

There are 4 pounds of apples with each pound costing $1.75.

There is one bag of orange with a bag costing $2.99.

Total = (4 * 1.75) + 2.99

= 7 + 2.99

= $9.99

5 0

2 years ago

Occasionally an airline will lose a bag. Suppose a small airline has found it can reasonably model the number of bags lost each

julia-pushkina [17]

Answer:

a) The probability that the airline will lose no bags next monday is 0.1108

b) The probability that the airline will lose 0,1, or 2 bags next Monday is 0.6227

c) I would recommend taking a Poisson model with mean 4.4 instead of a Poisson model with mean 2.2

Step-by-step explanation:

The probability mass function of X, for which we denote the amount of bags lost next monday is given by this formula

$P(X=k) = \frac{e^{-2.2} * {2.2}^k }{k!}$

$P(X=0) = \frac{e^{-2.2} * {2.2}^0 }{0!} = 0.1108$

The probability that the airline will lose no bags next monday is 0.1108.

b) Note that $P(X \in \{0,1,2\} = P(X=0) + P(X=1) + P(X=2)$ . And

$P(X=0)+P(X=1)+P(X=2) = e^{-2.2} * (1 + 2.2 + 2.2^2/2) = 0.6227$

Therefore, the probability that the airline will lose 0,1, or 2 bags next Monday is 0.6227.

c) If the double of flights are taken, then you at least should expect to loose a similar proportion in bags, because you will have more chances for a bag to be lost. WIth this in mind, we can correctly think that the average amount of bags that will be lost each day will double. Thus, i would double the mean of the Poisson model, in other words, i would take a Poisson model with mean 4.4, instead of 2.2.

6 0

2 years ago

Find the area of the regular trapezoid. The figure is not drawn to scale. The top side is 4, the bottom side is 7, and both side

svp [43]

A regular trapezoid is shown in the picture attached.

We know that:
DC = minor base = 4
AB = major base = 7
AD = BC = lateral sides or legs = 5

Since the two legs have the same length, the trapezoid is isosceles and we can calculate AH by the formula:

AH = (AB - DC) ÷ 2
= (7 - 5) ÷ 2
= 2 ÷ 2
= 1

Now, we can apply the Pythagorean theorem in order to calculate DH:
DH = √(AD² - AH²)
= √(5² - 1²)
= √(25 - 1)
= √24
= 2√6

Last, we have all the information needed in order to calculate the area by the formula:

$A = \frac{(AB + CD)DH}{2}$

A = (7 + 5) × 2√6 ÷ 2
= 12√6

The area of the regular trapezoid is 12√6 square units.

7 0

3 years ago

Can someone please help me on this problem.

Rasek [7]

Your answer should be 101°. 52+53+154= 259. 360-259= 101. Hope that helps

5 0

2 years ago

5. Select All equations that have a solution of 2"

Pachacha [2.7K]

Answer:

none of these have a solution of 2.

Step-by-step explanation:

4x+ 15 = 27

x=3

x + 6 =3

x = 3

2(x+5)=18

x = 4

x + 9 = 6

x = -3

if my understanding of what the equations are supposed to be please let me know what they are supposed to be, because with the way they are typed it is hard to tell :)

6 0

2 years ago