Answer:
The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
That is z with a pvalue of 
, so Z = 1.28.
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5
The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7
The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.
The answer is (6, 7)
This is the system of two equations:
<span>2y − x = 8
y − 2x = −5
_____
Express the second equation in the term of y:
2y - x = 8
y = 2x - 5
_____
Substitute y in the first equation:
2(2x - 5) - x = 8
4x - 10 - x = 8
4x - x = 10 + 8
3x = 18
x = 18/3
x = 6
Since x = 6 and y = 2x - 5, then:
y = 2 * 6 - 5
y = 12 - 5
y = 7
Therefore, (x, y) = (6, 7)</span>
Eddie walks 60.03 yards in 1 minute using proportion.
What is proportion?
The term proportionality refers to any relationship that has the same ratio every time. The proportional relationship between the two supplied ratios is defined by an equation. In other terms, the proportion declares that the two fractions or ratios are equal. For instance, the average number of apples per tree determines the proportionality between the quantity of apples in a crop and the number of trees in the orchard.
Here let us take time and distance as proportional values,
=> 
=> 450.25/2.5 = x/1
=> x = 180.1 feet.
To convert feet to yards divide the length by 3. then
=> 180.1/3=60.03 yards,
Therefore Eddie Walks 60.03 yards in 1 minute.
To learn more about proportion refer the below link
brainly.com/question/19994681
#SPJ1
Answer:
> 1
Step-by-step explanation:
> 
is false.
> is false.
> 2 is false.
