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Mazyrski [523]
3 years ago
11

Trisha has a game board as shown below, which is a square that has a total area of 400 square inches. The area of the large circ

le is 314 square inches.What is the probability that Trisha will not get any points with one randomly thrown dart that lands somewhere inside the square? Round decimals to two decimal places. 0.22 0.25 0.79 0.82
Mathematics
2 answers:
Mazyrski [523]3 years ago
4 0

Answer: First option is correct.

Step-by-step explanation:

Since we have given that

Total area of square inches = 400

The area of the large circle = 314

Now, we need to find the probability that Trisha will not get any points with one randomly thrown dart that lands somewhere inside the square,

Let E be the event the Trisha will get points .

so,

P(E)=\frac{314}{400}

As we know that

P(E')=1-P(E)\\\\P(E')=1-\frac{314}{400}\\\\P(E')=\frac{400-314}{400}\\\\P(E')=\frac{86}{400}\\\\P(E')=0.215=0.22

So, Probability that Trisha will not get any points with one randomly thrown dart that lands somewhere inside the square = 0.22

So, First option is correct.

NISA [10]3 years ago
3 0

Answer:

A. 0.22

Step-by-step explanation:

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Could someone answer and explain these please? Thank you!
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Answer 1:

It is given that the positive 2 digit number is 'x' with tens digit 't' and units digit 'u'.

So the two digit number x is expressed as,

x=(10 \times t)+(1 \times u)

x=10t+u

The two digit number 'y' is obtained by reversing the digits of x.

So, y=(10 \times u)+(1 \times t)

y=10u+t

Now, the value of x-y is expressed as:

x-y=(10t+u)-(10u+t)

x-y=10t+u-10u-t

x-y=9t-9u

x-y=9(t-u)

So, 9(t-u) is equivalent to (x-y).

Answer 2:

It is given that the sum of infinite geometric series with first term 'a' and common ratio r<1 = \frac{a}{1-r}

Since, the sum of the given infinite geometric series = 200

Therefore,\frac{a}{1-r}=200

Since, r=0.15 (given)

\frac{a}{1-0.15}=200

\frac{a}{0.85}=200

a=0.85 \times 200

a=170

The nth term of geometric series is given by ar^{n-1}.

So, second term of the series = ar^{2-1} = ar

Second term = 170 \times 0.15

= 25.5

So, the second term of the geometric series is 25.5






Step-by-step explanation:


8 0
3 years ago
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