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Margaret [11]
2 years ago
5

There is a spinner with 14 equal areas, numbered 1 through 14. If the spinner is spun one time, what is the probability that the

result is a multiple of 4 or a multiple of 3?
Mathematics
1 answer:
vfiekz [6]2 years ago
5 0

Answer:

Probability that the result is a multiple of 4 or a multiple of 3=  0.428

Step-by-step explanation:

The spinner is divided into 14 equal areas.

Probability of an event=\frac{number of favourable outcomes}{total number of outcomes}

For favourable events,result should be a multiple of 3 or 4.

All the possible outcomes are=1,2,3,4,5,6,7,8,9,10,11,12,13,14

  • Multiples of 3=3,6,9,12
  • Multiples of 4=4,8,12

Hence the favourable outcomes are=3,4,6,8,9,12

Number of favourable outcomes=6

Total number of outcomes=14

Probability=\frac{6}{14}

                 =0.428

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2 years ago
The triangle below is equilateral. Find the length of side x to the nearest tenth.
Gemiola [76]

Answer:

\sqrt{\frac{15}{2} } or 2.738

Step-by-step explanation:

Let’s just look at the triangle on the top with the \sqrt{10} on the top and x on the bottom. (Basically the top half to the equilateral triangle)

There is a small square in the bottom right corner, which indicates that this triangle is a right triangle. This means that we can use the Pythagorean Theorem: a^{2} +b^{2} =c^{2}

We know that \sqrt{10} is our hypotenuse, and therefore our c in our equation. Let’s say that x=a in our equation. Therefore we are left to find b. However, b is half the length of the side of the original equilateral triangle. An equilateral triangle means that all three sides are the same length. Therefore our side would also be \sqrt{10} units long. However we know that b is half of that value, so b=\frac{1}{2}(\sqrt{10}) or \frac{\sqrt{10} }{2}

Plugging these values into the equation:

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x=\sqrt{\frac{15}{2} }

This approximately equals 2.738

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2 years ago
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