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s344n2d4d5 [400]
3 years ago
8

A number cube with the numbers 1, 2, 3, 4, 5, and 6 is rolled 1000 times. About how many times would it be expected that a numbe

r less than 5 is rolled?
Mathematics
1 answer:
Tamiku [17]3 years ago
5 0

Answer:

The numbers less than 5 are expected to occur 666 times ..

Step-by-step explanation:

First of all, we have to find the probability of rolling a number less than 5 in a single trial

The numbers from 1 to 4 are less than 5 so the probability of rolling a number less than 4 is: 4/6 = 2/3

So,

Expected value = Probability * Number of Trials

= 2/3 * 1000

= 2000/3

= 666 times ..

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Answer:

\frac{q}{360} × π10 = 7

Explanation:

The formula to find arc length is \frac{x}{360} × \pi r^{2}

Simply plug in radius and arc length to get your equation.

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3 years ago
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Please help ASAP with this question
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Answer:

B. 7.9 in^2

Step-by-step explanation:

Part I.

Finding the fraction of the circle that is the sector

To start, let’s find the fraction of the circle that the sector covers. Since the measure of the central angle is 36, we get 36/360 or 1/10 of the circle.

Part II.

Finding the area of the Circle

The area of a circle is pi*r^2. Since r=5, then the area is 25pi.

Part III.

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Since the sector is 1/10 of the circle, its area is 1/10 of the circle’s area. So the area of the sector is 25/10*pi or (5/2)pi. This is approximately 7.9 in^2.

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3 years ago
What is the probability that a point chosen at random in the given figure will be inside the smaller square?
lorasvet [3.4K]
The probability of randomly selecting the smaller square in 9/25.
4 0
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Which list is ordered from least to greatest? –2.9, –3.2, 0.2, 2.1 0.2, 2.1, –3.2, –2.9 –3.2, –2.9, 0.2, 2.1 0.2, –3.2, 2.1, –2.
MA_775_DIABLO [31]

-3.2, -3.2, -3.2, -2.9, -2.9, -2.9, -2.9, 0.2, 0.2, 0.2, 0.2, 2.1, 2.1, 2.1, 2.1

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Select the points that is a solution
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The red area is the one which solves the system. In fact, we want the area which below both the parabola and the line (since the inequality features a \leq sign.


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