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galina1969 [7]
3 years ago
6

The distance between two cities on a map is 5.5 centimeters. The map uses a scale in which 1 centimeter represents 15 kilometers

. What is the actual distance between these two cities in kilometers?
Mathematics
1 answer:
sertanlavr [38]3 years ago
7 0

Answer:

82.5 kilometers

Step-by-step explanation:

15×5.5= 82.5 kilometers

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Step-by-step explanation:

kinda obvious

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What L is alternate interior at L6?<br><br> A. L3<br> B. L5 <br> C. L1<br> D. L4
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Step-by-step explanation:

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Find / or<br> Find1/8of1/9
Archy [21]

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1/72

Step-by-step explanation:

1/8 of 1/9

=1/8x1/9

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Read 2 more answers
Solve the system of equations by substitution. Simplify your answer. Write the
pychu [463]

Answer:

x = 5     y = 2

Step-by-step explanation:

3x + 2(3x - 13) = 19

3x + 6x - 26 = 19

9x = 45

x = 5

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y = 15 - 13

y = 2

4 0
2 years ago
If t follows a t7 distribution, find t0 such that (a) p(|t | &lt; t0) = .9 and (b) p(t &gt; 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
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