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Y_Kistochka [10]
1 year ago
10

Q: The central angle of sector E is 71 degrees and the central angle of sector F is 39 degrees. What is the probability that the

spinner does not land on sector F or E?

Mathematics
1 answer:
jenyasd209 [6]1 year ago
7 0

The probability that the spinner does not land on sector F or E is <u>25/36</u>.

In the question, we are given that the central angle of sector E is 71° and the central angle of sector F is 39°.

We are asked for the probability that the spinner does not land on sector F or E.

The total central angle for a circle is 360°.

The probability of the spinner landing on sector E = 71°/360°.

The probability of the spinner landing on sector F = 39°/360°.

Thus, the probability of the spinner landing on sector F or E = 71°/360° + 39°/360° = 110°/360°.

Thus, the probability of the spinner not landing on sector F or E = 1 - 110°/360° = 250°/360° = 25/36.

Thus, the probability that the spinner does not land on sector F or E is <u>25/36</u>.

Learn more about the probability at

brainly.com/question/3765462

#SPJ1

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2 years ago
If 2 is added to both the numerator and denominator of a fraction its value becomes half. If two is subtracted from both the num
Hitman42 [59]

Answer:

The original fraction is \frac{6}{14}.

Step-by-step explanation:

Solution,

Let the fraction be'\frac{x}{y}'.

Where 'x' is the numerator and 'y' is the denominator.

Now according to question, if 2 is added to both the numerator and denominator the value of the fraction becomes 1/2.

So, framing the above sentence in equation form, we get;

\frac{x+2}{y+2}=\frac{1}{2}

On using cross multiplication method, we get;

2(x+2)=y+2\\\\2x+4=y+2\\\\2x+4-2=y\\\\\therefore\ y=2x+2\ \ \ \ equation\ 1

Now according to question, if 2 is Subtracted to both the numerator and denominator the value of the fraction becomes 1/3.

So, framing the above sentence in equation form, we get;

\frac{x-2}{y-2}=\frac{1}{3}

On using cross multiplication method, we get;

3(x-2)=y-2\\\\3x-6=y-2\\\\3x-y=-2+6\\\\3x-y=4 \ \ \ \ equation\ 2

Now Substituting the equation 1 in equation 1 we get;

3x-y=4\\\\3x-(2x+2)=4\\\\3x-2x-2=4\\\\3x-2x=4+2\\\\x=6

Now Substituting the value of x in equation 1 we get;

y=2x+2\\\\y=2\times6+2 = 14

Hence The original fraction is \frac{6}{14}.

4 0
3 years ago
What is the probability of drawing a 9 of heart or an ace from a standard deck of cards? A. 7/52 B. 5/52 C. 5/26 D. 8/13 What is
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A for the first because  there are 4 aces and 1 nine of hearts. that makes it 5 cards of the 52 in a deck
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hope this helped :)

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If a number id divided by eleven, the solution is two-fifths. What is the number
miss Akunina [59]
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Please help, its urgent. (Question Below)
rusak2 [61]

The highest common factor of the numbers 210 and 308 is 4.

<h3>What is the highest common factor?</h3>

The highest factor of the two numbers which divides both the numbers is called as greatest common factor or HCF.

The highest common factor will be calculated by finding the factors of the two numbers. The factors of the two numbers are as follows:-

308   =  2 x  2   x  7  x  11

210   =  2  x  2   x  3  x  17

We can see that the 2  x  2  =  4 is the highest factor which is common between the two numbers 210 and 308. So 4 is the HCF which can divide both the numbers 210 and 308.

Therefore the highest common factor of the numbers 210 and 308 is 4.

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