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Dima020 [189]
3 years ago
11

Explain why counting by tens might be faster than counting by ones

Mathematics
2 answers:
EleoNora [17]3 years ago
8 0
Because when you count by tens you are going 10 20 30 40 50 but with ones in the same time it would be 1 2 3 4 5
adelina 88 [10]3 years ago
3 0
Counting in 10s is faster than counting in ones because counting in 10s gets you to larger numbers faster because you are going by larger numbers.
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A company is in the business of finding addresses of long-lost friends. The company claims to have a 70% success rate. Suppose t
Galina-37 [17]

Answer:

a) Figure attached

b) E(X) =\mu= np = 9*0.7=6.3

Sd(X) =\sigma= \sqrt{np(1-p)}= \sqrt{9*0.7*(1-0.7)}=1.375

c) For the case n= 6

P(X \leq 2) = 0.9891

For the case n= 5

P(X \leq 2) = 0.9692

So then we need at least  n=5 or n=6 to satisfy the condition required.

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=9, p=0.7)

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 can use the following R code:

> x <- seq(0,9,by = 1)

> y <- dbinom(x,9,0.7)

> plot(x,y,main="Histogram",type = "h")

And we can see on the figure attached the solution.

We see that the higher probabilities are from 4 to 9

Part b

The expected value is given by:

E(X) =\mu= np = 9*0.7=6.3

The variance is given by:

Var (X) =\sigma^2= np(1-p) = 9*0.7*(1-0.7)= 1.89

And the standard deviation is:

Sd(X) =\sigma= \sqrt{np(1-p)}= \sqrt{9*0.7*(1-0.7)}=1.375

Part c

First we can find the probability that at least two addresses will be found in the list of 9 that we have like this:

P(X \geq 2)

We can use the complement rule and we have:

P(X \geq 2) = 1-P(X

We find the indicidual probabilities:

P(X=0)=(9C0)(0.7)^0 (1-0.7)^{9-0}=0.00001968

P(X=1)=(9C1)(0.7)^1 (1-0.7)^{9-1}=0.000413

P(X \geq 2) = 1-[0.00001968+0.000413]=0.9996

If we use the case of n=8 and we find P(X\leq 2), we got:

P(X \leq 2) = 0.9987

For the case n= 7

P(X \leq 2) = 0.9962

For the case n= 6

P(X \leq 2) = 0.9891

For the case n= 5

P(X \leq 2) = 0.9692

So then we need at least  n=5 or n=6 to satisfy the condition required.

5 0
3 years ago
A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally. A piece of climbing equipment at a
Varvara68 [4.7K]

Answer:

The answer is C.

Explanation:

the reason the answer is C is because 3/5 > 2/3. So the slope of the climbing equipment at the gym is greater.

6 0
3 years ago
Read 2 more answers
NO LINKS OR FILES ONLY ANSWER IF YOU KNOW IT PLEASE
agasfer [191]

Answer:

c

Step-by-step explanation:

100% is the whole graph so 23% of 100 is 23

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2 years ago
-1 and 1/4th divided by - 1/2
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Answer: 2

Step-by-step explanation:

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The number of tickets Ben can buy to the baseball game depends on the price of the tickets, p. he can afford lickets that cos $5
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Answer:IDK

Step-by-step explanation:I have the SAME QUESTION.

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3 years ago
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