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2 years ago

How to find the coterminal angle of 11pi/3?

Mathematics

1 answer:

bulgar [2K]2 years ago

3 0

Answer:

Subtract 2π 2 π from 11π3 11 π 3 . The resulting angle of 5π3 5 π 3 is positive, less than 2π 2 π , and coterminal with 11π3 11 π 3 .

Step-by-step explanation:

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A grab bag contains 12 packages worth $.70 each, 15 packages $.40 cents each, and 25 packages worth $.30 each. what is the expec

Salsk061 [2.6K]

The expected value of the discrete distribution, if you have to pay $.50 to pick one package at random, is of -$0.08.

<h3>What is the mean of a discrete distribution?</h3>

The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.

For this problem, considering the cost of $0.5, the distribution is given as follows:

P(X = 0.2) = 12/(12 + 15 + 23) = 12/50 = 0.24.

P(X = -0.1) = 15/(12 + 15 + 23) = 15/50 = 0.3.

P(X = -0.2) = 23/(12 + 15 + 23) = 23/50 = 0.46.

Hence the expected value is given by:

E(X) = 0.2 x 0.24 - 0.3 x 0.1 - 0.2 x 0.46 = -$0.08.

More can be learned about the expected value of a discrete distribution at brainly.com/question/13008984

#SPJ1

8 0

2 years ago

Polly buys 14 cupcakes for a party. The bakery puts them into boxes that hold 4 cupcakes each.

Temka [501]

Answer:

Part a) The number of boxes needed will be 4

part b) The fraction of the box that is empty is $\frac{1}{2}$

Part c) Are needed 2 cupcakes to fill the last box

Step-by-step explanation:

Part a) How many boxes will be needed for Polly to bring all the cupcakes to the party?

To find out the number of boxes needed, divide the total number of cupcakes by 4 (maximum number of cupcakes that fit in each box).

$\frac{14}{4}=3.5\ box$

Round up

The number of boxes needed will be 4

Part b) If the bakery completely fills as many boxes as possible, what fraction of the last box is empty?

we know that

The maximum number of cupcakes per box is 4

The first three boxes have 4 cupcakes

The last box has

$14-3(4)=2\ cupcakes$

The fraction of the box that is empty is equal to the number of cupcakes missing to fill the box divided by the cupcake capacity of the box

$\frac{2}{4}=\frac{1}{2}$

Part c) How many more cupcakes are needed to fill this box

Subtract the number of cupcakes in the box from the cupcake capacity of the box

The last box has 2 cupcakes

The cupcake capacity of the box is 4

$4-2=2\ cupcakes$

therefore

Are needed 2 cupcakes to fill the last box

8 0

3 years ago

Pls help I’m so confused

solniwko [45]

Answer:

Yes

Step-by-step explanation:

First, look for the hypotenuse (diagonal) of the base of the box. We have the two legs: 13 inches and 35 inches.

Set up an equation using the Pythagorean theorem:

$13^2+35^2=C^2$

Solve for C:

169 + 1225 = C^2

1394 = C^2

C ≈ 37.34

Now that we have the diagonal of the base, we know can move on to find the value of the interior diagonal. We have two legs: 13 inches and 37.34 inches.

Again, set up an equation using the Pythagorean theorem, and solve for the new C:

$13^2+37.34^2=C^2$

1563.2756 = C^2

C = 39.54

The interior diagonal of the box is approximately 39.54 inches long, which is longer than Kylie's baton, which is 38 inches long. So, she can fit the baton in the box.

Have a nice day! :)

7 0

3 years ago

Is Zero a Positive Number or a Negative Number or a Neutral Number?

sergeinik [125]

Its a neutral number cause it has no value since its worth nothing at all, when u add it with something the number ur adding it with will be that number instead of 0, (like for ex 2 + 0 = 2) 0 cant be positive since on a number line its not on the right and it cant be negative since its not on the left, so its neutral in the middle.

4 0

3 years ago

Read 2 more answers

In kite WXYZ, the measure of x=z=86° and y=72°<br><br><br>What is the measure of w?

Anna [14]

W=166 degrees

okay so the total measure of the angles should be 360 so you gotta do 86+86+72+w=360
86+86+72=244
360-244=116

8 0

3 years ago

Read 2 more answers