Question 9 of 10

Oliver has a bag that contains pineapple chews, lemon chews, and peach chews. He performs an experiment. Oliver randomly removes

Shtirlitz [24]

The probability that the next chew Oliver removes from the bag will be peach chew as a percent to the nearest whole number will be 13%.

<h3>What is probability?</h3>

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

Oliver has a bag that contains pineapple chews, lemon chews, and peach chews.

He performs an experiment.

Oliver randomly removes a chew from the bag, records the result, and returns the chew to the bag.

Oliver performs the experiment 23 times.

The results are shown below:

A pineapple chew was selected 17 times.

A lemon chew was selected 4 times.

A peach chew was selected 2 times.

Then the probability that the next chew Oliver removes from the bag will be peach chew as a percent to the nearest whole number will be

Total event = 24 times

Favorable event = 3 times

Then we have

P = 3 / 24 x 100

P = 0.125 x 100

P = 12.5%

P ≅ 13%

More about the probability link is given below.

brainly.com/question/795909

#SPJ1

8 0

2 years ago

Approximate pi plus the square root of 70 to the nearest hundredth.

stich3 [128]

Answer:

11.51

Step-by-step explanation:

In general, a calculator is required to evaluate the irrational sum ...

π + √70

<h3>Calculator result</h3>

The result from a readily-available online calculator is shown in the attachment.

π + √70 ≈ 11.51

__

<em>Additional comment</em>

You have probably memorized pi to several digits: 3.1416. To obtain the required estimate means you need to approximate √70 to about the same level of precision.

For a number n = a² +b, the square root can be approximated by the continued fraction ...

√n ≈ a +b/(2a +b/(2a +...))

Effectively, the root (r) can be iterated from the recursive formula ...

r' = a +b/(a +r)

For √70, we have 70 = 8² +6 ⇒ a=8, b=6

If the initial approximation of the root is r0≈a=8, then a couple of iterations gives ...

r1 = 8 + 6/(8 +r0) = 8 + 6/(8 +8) = 8 3/8

r2 = 8 + 6/(8 +r1) = 8 +6/(8 +8 3/8) = 8 48/131

This has sufficient accuracy for the purpose. The decimal equivalent of the sum then becomes ...

3.1416 +8.3664 = 11.5080 ≈ 11.51