Every Wednesday Carla runs 2.5 miles how many feet did she run
1 answer:
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Answer:
the price of good x in 1999 dollars is 370.89 dollars
Step-by-step explanation:
Given that good x sold for $40 in 1945. the Cpi in 1945 was 18.0 and the cpi in 1999 was 166.6.
We have cpi and sale price have direct variation
In other words S = kC where C = CPi and S = sales price
In 1945, 40 = 18k or K = 20/9
Using this we can say
Sales price in 1999 would be k (166.6)
=
the price of good x in 1999 dollars is 370.89 dollars
Where two lines cross, four (4) angles are formed. Two adjacent angles that share a vertex can be called a "linear pair." Two non-adjacent angles that have the same vertex and the same lines for sides, are called "vertical angles."
Where a transversal crosses two parallel lines, eight (8) angles are formed, four (4) at each intersection. In addition to the above angle types, there are other relationships that can be described.
Angles can be called <em>corresponding</em>, if they are in the same location relative to the intersection point (both on the north-east corner, for example). Angles are <em>interior</em> if they are between the parallel lines; <em>exterior</em> of they are not. They get the additional descriptor of <em>opposite</em>, if they are on opposite sides of the transversal.
If the angles are not opposite, and share a side but not a vertex, they can be called <em>adjacent</em>. (Only <em>interior</em> angles can be adjacent, one pair on either side of the transversal.)
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With the above definitions in mind, several <u>relationships</u> arise where a transversal crosses parallel lines. (<u>Types</u> of angles are <em>italicized</em>.) Two examples of each type are listed by angle numbers. Angles 1 and 2 are a linear pair, for example.
Angles of a <em>linear pair</em> are supplementary. (1, 2), (5, 7)
<em>Vertical</em> angles are congruent. (1, 4), (6, 7)
<em>Adjacent</em> angles are supplementary. (3, 5), (4, 6)
<em>Corresponding</em> angles are congruent. (1, 5), (4, 8)
<em>Opposite interior</em> angles are congruent. (3, 6), (4, 5)
<em>Opposite exterior</em> angles are congruent. (1, 8), (2, 7)
Answer:
the mean and standard error of the mean are 200 and 2 respectively.
Step-by-step explanation:
Given that ;
the sample size n = 81
population mean μ = 200
standard deviation of the infinite population σ = 18
A population is the whole set of values, or individuals you are interested in, from an experimental study.
The value of population characteristics such as the Population mean (μ), standard deviation (σ) are said to be known as the population distribution.
From the given information above;
The sample size is large and hence based on the central limit theorem the mean of all the means is same as the population mean 200.
i.e
= 200
∴ The mean = 200
and the standard error of the mean can be determined via the relation:
Therefore ; the mean and standard error of the mean are 200 and 2 respectively.