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mixer [17]
2 years ago
6

Winnie measured the length of her father's ranch four times and got four different distances. her measurements are shown in the

table.
A. To estimate the actual length, winnie first approximated each distance to the nearest hundredth.Then she averaged the four numbers.
Using a calculator, find winnie's estimate.
.
Distance across father's ranch (km)
Square root of 60, 58/8, 7.3, 7 3/5
.
B. Winnie's father estimated the distance across his ranch to be the square root of 56 km. How does this distance compare to Winnie's estimate?
Mathematics
1 answer:
Maksim231197 [3]2 years ago
5 0

(a) winnie first approximated each distance to the nearest hundredth.

\sqrt{60} =7.75

\frac{58}{8} = 7.25

7.3 = 7.33

7\frac{3}{5} = 7.60

Now we find the average of 4 numbers

\frac{7.75+7.25+7.33+7.60}{4}= \frac{29.93}{4} = 7.4825

Winnie's estimate = 7.4825

B) Winnie's father estimated the distance across his ranch to be the square root of 56 km

\sqrt{56} = 7.48331

Winne's father estimate - Winne's estimate = 7.48331 - 7.48225= 0.00106

Winne's father estimate is 0.00106 more than winne's estimate

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Commissions:

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The children from a football club are put into rows in the sports hall. When put into rows of 9 children, there are 2 children l
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We are told that the children from a football club are put into rows in the sports hall. When put into rows of 9 children there are 2 children left over. When put into rows of 12 children there are 2 children left over.

We will find least number of children in football club by finding LCM of 9 and 12.

Multiples of 9 are: 9, 18, 27, 36, 45, 54, 63,...

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We can see that least common multiple of 9 and 12 is 36.

We are told that 2 children left over from putting them into 9 and 12 children per row. To find least number we will add 2 to 36.

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2 years ago
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Answer:

a)P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969

b) P(X=3)=(10C3) (0.15)^3 (1-0.15)^{10-3}= 0.1298

c) P(X \geq 1) = 1- P(X

P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969

So then we have:

P(X \geq 1) = 1- P(X

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=10, p=0.15)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Part a

For this case we want this probability:

P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969

Part b

For this case we want this probability:

P(X=3)

And using the probability mass function we got:

P(X=3)=(10C3) (0.15)^3 (1-0.15)^{10-3}= 0.1298

Part c

For this case we want this probability:

P(X \geq 1)

And we can use the complenet rule and we got:

P(X \geq 1) = 1- P(X

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So then we have:

P(X \geq 1) = 1- P(X

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Since, m_1<m_2

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