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bearhunter [10]
3 years ago
14

at a sale search were sold for $15 each. This price was 80% of the original price. What was the original price?

Mathematics
2 answers:
emmasim [6.3K]3 years ago
5 0
Let's say the original price was "x", thus "x" is the 100%, and we know that 15 is 80% of that, thus

\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
x&100\\
15&80
\end{array}\cfrac{x}{15}=\cfrac{100}{80}\implies x=\cfrac{1500}{80}
vichka [17]3 years ago
5 0
The original price was $75.

$15 would be 1/5 (80%) of an uknown number, which is stated in the question. Since it's 1/5, you would multiply 15 by 5, to get 5/5 (100%), which is the original price. To check this, you would take 80% percent from 75 (0.8*75), which gives you 15. Thus proving $75 dollars was the original price.

I hope this helps!
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Using proportions, it is found that the ordered pair that represents the location of the layover is given by: (2.75, 1.5).

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the flight distance is partitioned in a ratio of 3:1, hence:

L - Nv = 3/4(Ny - Nv).

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5 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

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