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Tresset [83]
3 years ago
12

Suppose you roll a fair, six-sided number cube.

Mathematics
1 answer:
Serga [27]3 years ago
5 0

Answer:

Sample space= S= {1, 2, 3, 4, 5, 6}

One possible event is rolling an even number

probability (even number)=P\{2, 4, 6\} =\frac{3}{6}=\frac{1}{2}

Step-by-step explanation:

Sample Space

The simple space is the combination of all possible outcomes

so,

Sample space= S= {1, 2, 3, 4, 5, 6}

One possible event

One possible event is rolling an even number

Probability of that event

to find the probability of the event i.e. rolling an even number, we first find the sample for the event i.e. event space

event space={2, 4, 6}

Now,

probability (even number)=P\{2, 4, 6\} =\frac{3}{6}=\frac{1}{2}

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Help me to answer this question pl​s
attashe74 [19]

Problem 1

Draw a straight line and plot P anywhere on it. Use the compass to trace out a faint circle of radius 8 cm with center P. This circle crosses the previous line at point Q.

Repeat these steps to set up another circle centered at Q and keep the radius the same. The two circles cross at two locations. Let's mark one of those locations point X. From here, we could connect points X, P, Q to form an equilateral triangle. However, we only want the 60 degree angle from it.

With P as the center, draw another circle with radius 7.5 cm. This circle will cross the ray PX at location R.

Refer to the diagram below.

=====================================================

Problem 2

I'm not sure why your teacher wants you to use a compass and straightedge to construct an 80 degree angle. Such a task is not possible. The proof is lengthy but look up the term "constructible angles" and you'll find that only angles of the form 3n are possible to make with compass/straight edge.

In other words, you can only do multiples of 3. Unfortunately 80 is not a multiple of 3. I used GeoGebra to create the image below, as well as problem 1.

8 0
2 years ago
What is the equation of the line that goes through the points (5, 11) and (7,21)?
iragen [17]

Answer:

y = 5x - 14

Step-by-step explanation:

First point coordinates

x₁

5

y₁

11

Second point coordinates

x₂

7

y₂

21

Result

Slope (m)

5

m = 10 / 2 = 5 / 1 = 5

Your function

The entered points belong to an increasing, linear function.

Equation: y = 5x - 14.

Hope i helped :)

5 0
3 years ago
A chord 12cm long subtends an angle of 40° at the centre of the circle. calculate the radius of the circle.
kramer
Ok 12cm 40• is 50 minutes
5 0
3 years ago
Emma goes miniature golfing. She pays $7.50 for an admission ticket and $6.25 for each round she golfs. The total amount Emma pa
sergiy2304 [10]

Answer:

The equation that can be used to determine the number of rounds that Emma golfs is:

x=(c-7.50)/6.25

Step-by-step explanation:

From the information given, the total amount Emma pays to go miniature golfing is equal to the price of the admission ticket plus the result of multiplying the price per round of golf for the number of rounds and according to this, the equation would be:

c=7.50+6.25x, where:

c is the total cost for Emma to go miniature golfing

x is the number of rounds

Now, you can solve for x to determine the equation that can be used to find the number of rounds that Emma golfs:

x=(c-7.50)/6.25

You can replace c with 26.25:

x=(26.25-7.50)/6.25

x=18.75/6.25

x=3

5 0
3 years ago
Shannon is collecting art supplies. She has 48 crayons, 24 markers,
Ulleksa [173]

Answer:

6+3+4=13

Step-by-step explanation:

decide each number by the group and add them

3 0
3 years ago
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