Dr. Black is standing 13 feet from a streetlamp. The lamp is making his shadow 9 feet long. He estimates that the angle of eleva
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9 bottles of soda and 10 juice bottles are purchased
<em><u>Solution:</u></em>
Given that,
Sugar contained by each soda bottle = 45 grams
Sugar contained by each juice bottle = 35 grams
Let,
x be the number of soda bottles
y be the number of juice bottles
Given that,
<em><u>Ethan purchased a total of 19 bottles of juice</u></em>
Therefore, we get,
x + y = 19 ---------- eqn 1
<em><u>Ethan purchased a total of 19 bottles of juice and soda which collectively contain 755 grams of sugar</u></em>
<em><u>Therefore, we frame a equation as:</u></em>
45x + 35y = 755 --------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
<em><u>From eqn 1,</u></em>
x = 19 - y --------- eqn 3
Substitute eqn 3 in eqn 2
45(19 - y) + 35y = 755
855 - 45y + 35y = 755
10y = 100
y = 10
<em><u>Substitute y = 10 in eqn 3</u></em>
x = 19 - 10
x = 9
Thus 9 bottles of soda and 10 juice bottles are purchased
Answer:
c 23 and 0.46 are statistics and 0.484 is a parameter
True. For this case the value 0.46 represent t statistic since from the sample obtained we can calculate the sample proportion of people who voted for Gore like this:
Where X represent the people with the characteristic desired in the random sample selected.
So then we can say that 23 and 0.46 represent statistics since comes from the sample. And the value 0.484 is obtained from the population so then represent a parameter.
Step-by-step explanation:
Previous concepts
A parameter is any "numerical quantity that characterizes a given population or some aspect of it". For this case we are interested on proportions and we denote the population proportion by
A statistic is "used to estimate the value of a population parameter". In other words is just an estimation of the population parameter of interest. Four our case the sample proportion denoted by represent the statistic for this case.
Solution for the problem
a 0.46 and 0.484 are statistics
False. 0.484 is not an statistic since it's the outcome from the original population and would represent the parameter "proportion of people who vote for Gore"
b 50 and 23 are statistics and 0.484 is a parameter
False. The sample size is not an statistic is just a value selected in order to calculate the statistic.
c 23 and 0.46 are statistics and 0.484 is a parameter
True. For this case the value 0.46 represent t statistic since from the sample obtained we can calculate the sample proportion of people who voted for Gore like this:
Where X represent the people with the characteristic desired in the random sample selected.
So then we can say that 23 and 0.46 represent statistics since comes from the sample. And the value 0.484 is obtained from the population so then represent a parameter.