The answer is:
4x+2y=11} 4x+2y=11} x=2-2y
x-2=-2y } x+2y=2 } x=2-2(-3/6)
x=2-(-6/6)
4(2-2y)+2y=11 x=2-(-1)
8-8y+2y=11 x=3
8-6y=11
-6y=11-8
-6y=3/-6
y=-3/6=-1/2
So for my opinion the solution is A.(3,-1/2)
Answer:
4% of all adults go to a health club at least twice a week
Step-by-step explanation:
- the proportion of adults who belong to health clubs is 10% that is 0.10
- the proportion of these adults (health club members) go to the club at least twice a week is 40%, that is 0.40.
Thus, the proportion of all adults go to a health club at least twice a week is
0.10 × 0.40 = 0.04, that is 4%
Using the z-distribution, it is found that:
- The 95% confidence interval is of -1.38 to 1.38.
- The value of the sample mean difference is of 1.74, which falls outside the 95% confidence interval.
<h3>What is the z-distribution confidence interval?</h3>
The confidence interval is:

In which:
is the difference between the population means.
In this problem, we have a 95% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
The estimate and the standard error are given by:

Hence the bounds of the interval are given by:


1.74 is outside the interval, hence:
- The 95% confidence interval is of -1.38 to 1.38.
- The value of the sample mean difference is of 1.74, which falls outside the 95% confidence interval.
More can be learned about the z-distribution at brainly.com/question/25890103
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1/4, 2/5, 0.5, 0.75
1/4 is 0.25
2/5 is 0.40
Then order from least to greatest.
The table of values that could be used to graph g(x), a reflection of f(x) across the x-axis is table (c)
<h3>How to determine the table of values?</h3>
From the question, we have the following equation that can be used in our computation:
f(x) = One-third(6)x
When this statement is represented as an equation, we have the following representation
f(x)= 1/3(6)ˣ
The transformation is given as
A reflection of f(x) across the x-axis
This means that
g(x) = -f(x)
So, we have
g(x) = -1/3(6)ˣ
What this means is that the values of f(x) are negated to get g(x)
The table that represents this is table (c)
Hence, the table of values is table (c)
Read more about transformation at
brainly.com/question/27224272
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