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.
Answer:
131313
Step-by-step explanation:
The greatest number of packages which includes pairs of headphones and music players is the greatest common factor of the two numbers:
which is equal to 131313
So, there are 131313 packages that Tim can make with its greatest number. and in each package , there will be 3 pair of headphones and 1 pair of music player.
Answer:
Option C - 
Step-by-step explanation:
To find : Which of the following expressions represents the distances between -4 and 5 on the number line?
Solution :
According to number line,
<-----------|----|------|----|-----|----|---|----|----|----|-----|----|---------------->
-∞ -5 -4 -3 -2 -1 0 1 2 3 4 5 6 +∞
The distance between -4 and 5 is given by,
Solving the expression,
Therefore, The expression represents the distances between -4 and 5 on the number line is
So, Option C is correct.
From the information given you have:
1) Smaller diagonal of the kite: 16 inches
2) Larger diagonal of the kite: height of one triangle (h1) + height of the other triangle (h2)
3) Calculation of the height of the smaller triangle, h1:
10^2 = (16/2)^2 + (h1)^2 => h1 = √ [10^2 - 8^2] = 6
4) Calculation of the height of the larger triangle, h2
17^2 = (16/2)^2 + (h2)^2 => h2 = √[17^2 - 8^2] = 15
5) Larger diagonal = h1 + h2 = 6 + 15 = 21
Answer: 21 inches
