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Serga [27]
3 years ago
8

Given the figure, what is the value of x?

Mathematics
1 answer:
TEA [102]3 years ago
4 0

Answer:

91 degrees

Step-by-step explanation:

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Urgent. There are 12 coloured counters in a bag. The counters are black, white or grey A counter is chosen at random. The probab
Nastasia [14]

Answer:

1/12

Step-by-step explanation:

<u>Needed information</u>

\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}

The sum of the probabilities of all outcomes must equal 1

<u>Solution</u>

We are told that the probability that the counter is <em>not</em> black is 3/4.  

As the sum of the probabilities of all outcomes <u>must equal 1</u>, we can work out the probability that the counter <em>is </em>black by subtracting 3/4 from 1:

\sf P(counter\:not\:black)=\dfrac34

\implies \sf P(counter\:black)=1-\dfrac34=\dfrac14

We are told that the probability that the counter is <em>not </em>white is 2/3.  

As the sum of the probabilities of all outcomes <u>must equal 1</u>, we can work out the probability that the counter <em>is </em>white by subtracting 2/3 from 1:

\sf P(counter\:not\:white)=\dfrac23

\implies \sf P(counter\:white)=1-\dfrac23=\dfrac13

We are told that there are black, white and grey counters in the bag.  We also know that the sum of the probabilities of all outcomes must equal 1.  Therefore, we can work out the probability the counter is grey by subtracting the probability the counter is black and the probability the counter is white from 1:

\begin{aligned}\sf P(counter\:grey) & = \sf1-P(counter\:black)-P(counter\:white)\\\\ & =\sf 1-\dfrac14-\dfrac13\\\\ & = \sf \dfrac{12}{12}-\dfrac{3}{12}-\dfrac{4}{12}\\\\ & = \sf \dfrac{12-3-4}{12}\\\\ & = \sf \dfrac{5}{12}\end{aligned}

7 0
2 years ago
Can some one plzzzzzzzzzz help 1\/5
alukav5142 [94]
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7 0
3 years ago
15. A person facing east walks east 20 paces, turns, walks north 10 paces, turns, walks west 25 paces, turns, walks south 10 pac
Reptile [31]

Answer:

oo freeeeeee I was just the same thing in common use today in the vwjabahqjvqio

7 0
3 years ago
This is not math but i need help <br><br><br>what is a allusion​
wariber [46]

Answer:

an expression designed to call something to mind without mentioning it explicitly; an indirect or passing reference.

Step-by-step explanation:

4 0
3 years ago
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Paul bought 18 pins for $90. Jack bought 45 pins for $180. Who bought pins at the lowest cost?
lina2011 [118]

Answer:

Jack

Step-by-step explanation:

90/18 = 5

180/45 = 4

3 0
3 years ago
Read 2 more answers
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