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Vitek1552 [10]
2 years ago
13

A group Students surveyed chose basketball and soccer as their favorite sport in the retro 3 : 8

Mathematics
1 answer:
Nadya [2.5K]2 years ago
5 0

Answer:

What is the question to this question?

Step-by-step explanation:

You might be interested in
If t follows a t7 distribution, find t0 such that (a) p(|t | < t0) = .9 and (b) p(t > t0) = .05.
Thepotemich [5.8K]

Answer:

a) P(-t_o < t_7

Using the symmetrical property we can write this like this:

1-2P(t_7

We can solve for the probability like this:

2P(t_7

P(t_7

And we can find the value using the following excel code: "=T.INV(0.05,7)"

So on this case the answer would be t_o =\pm 1.895

b) For this case we can use the complement rule and we got:

1-P(t_7

We can solve for the probability and we got:

P(t_7

And we can use the following excel code to find the value"=T.INV(0.95;7)"

And the answer would be t_o = 1.895

Step-by-step explanation:

Previous concepts

The t distribution (Student’s t-distribution) is a "probability distribution that is used to estimate population parameters when the sample size is small (n<30) or when the population variance is unknown".

The shape of the t distribution is determined by its degrees of freedom and when the degrees of freedom increase the t distirbution becomes a normal distribution approximately.  

The degrees of freedom represent "the number of independent observations in a set of data. For example if we estimate a mean score from a single sample, the number of independent observations would be equal to the sample size minus one."

Solution to the problem

For this case we know that t \sim t(df=7)

And we want to find:

Part a

P(|t|

We can rewrite the expression using properties for the absolute value like this:

P(-t_o < t_7

Using the symmetrical property we can write this like this:

1-2P(t_7

We can solve for the probability like this:

2P(t_7

P(t_7

And we can find the value using the following excel code: "=T.INV(0.05,7)"

So on this case the answer would be t_o =\pm 1.895

Part b

P(t>t_o) =0.05

For this case we can use the complement rule and we got:

1-P(t_7

We can solve for the probability and we got:

P(t_7

And we can use the following excel code to find the value"=T.INV(0.95;7)"

And the answer would be t_o = 1.895

5 0
3 years ago
Three consecutive even integers have a sum of -48. Find the largest integer.
kobusy [5.1K]

Answer:

<h3>           - 14</h3>

Step-by-step explanation:

{x -  some integer}

2x  -  the first even integer

2x+2  -  the second consecutive even integer

2x+4  -  the third consecutive even integer (the largest)

2x + 2x+2 + 2x+4  - the sum of three consecutive even integers

2x + 2x+2 + 2x+4 = -48

   6x + 6  = -48

        ÷3         ÷3

    2x + 2 = -16

         +2      +2

     2x+4 = -14

6 0
3 years ago
Which is a true statement?
lesantik [10]

Answer:

C-true

Step-by-step explanation:

A-false

B-false

C-true

D-false

used substitution

7 0
2 years ago
I need help solving this problem
Alex787 [66]

Answer:

(x,f(x)) = (-1,8) -- Another point

a = 8

Step-by-step explanation:

Given

f(x) = a|x|

(x,f(x)) = (1,8)

Solving (a): Another point

Substitute 1 for x and 8 for f(x) in f(x) = a|x|

8 = a|1|

Remove absolute bracket

8 = a*1

8 = a

a = 8

Substitute 8 for a in f(x) = a|x|

f(x) = 8|x|

Let x = -1

f(x) = 8|-1|

Remove absolute bracket

f(x) = 8*1

f(x) = 8

So, another point is:

(x,f(x)) = (-1,8)

Solving (b): The value of a

This has been solved in (a) above

a = 8

7 0
2 years ago
What is the difference in the account balances shown below? Behrooz: (-$21.00) Cody: $3.00
suter [353]

Answer:

-7

Step-by-step explanation:

-21.00/3.00

4 0
2 years ago
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