Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Mean (m) = 266 days
Standard deviation (s) = 16 days
A.) p(( Z ≤ (x - m) /s) = 2.5%
p(( Z ≤ (x - 266) /16) = 0.025
(x - 266) /16 = - 1.96 (Z probability calculator)
x - 266 = - 31.36
x = - 31.36 + 266
x = 234.64
B.)
p(( Z ≤ (x - m) /s) = 2.5%
p(( Z ≤ (x - 266) /16) = 0.025
(x - 266) /16 = - 1.96 (Z probability calculator)
x - 266 = - 31.36
x = - 31.36 + 266
x = 234.64
p(( Z ≤ (x - m) /s) = 2.5%
p(( Z ≤ (x - 266) /16) = 0.025
(x - 266) /16 = 1.96 (Z probability calculator)
x - 266 = 31.36
x = 31.36 + 266
x = 297.36
Hence,
234.64 < x <297.36
C.)
p(( Z ≤ (x - m) /s) = 2.5%
p(( Z ≤ (x - 266) /16) = 0.025
(x - 266) /16 = 1.96 (Z probability calculator)
x - 266 = 31.36
x = 31.36 + 266
x = 297.36
Answer:
1) There are 13 students in Jerry's study.
2) There are 39 students in Kathy's study.
3) Jerry's study is more trustworthy!
Step-by-step explanation:
1) Jerry's study is the one with the dot plot.
Now, the number of students is calculated by adding the total number of dots in the plot.
We have a total of 13 dots.
Thus, there are 13 students in Jerry's study.
2) Kathy's study is the one with the histogram.
The total number of students is gotten by adding the corresponding number of students on the y-axis for each range of distance on the x-axis.
Total number of students = 9 + 11 + 7 + 12 = 39 students
3) Jerry's study where he used a dot plot is likely to be more trustworthy because it gives exact values of the number of students for each distance represented whereas, Kathy's study where she used a histogram doesn't give exact values but just gives a range of distances for a particular number of people.
Answer:
It's -7
Step-by-step explanation:
Answer:2600 Gallons
Step-by-step explanation: You first have to take 130 and times it by 20 then times it by 1. make sure you add labels
Answer:
x= 4 y= 7 z= -6
Step-by-step explanation:
solve for one and you get them all
First, I got rid of the z by multiplying common factors (multiplied z by 2) and added equations 2 and 3 together after multiplying by 2
4x - 3y - 2z = 7
-10x+10y+2z= 18
-6x+7y= 25
Then multiplied z by -3 (to get rid of the z) with the original equation 3
3x - 2y + 3z = -20
15x-15y-3z= -27
18x-17y= -47
Next find common thing between the 2 equations we got and multiply it by that and combine (we can multiply first equation by 3 to get rid of the x and solve for y)
-18x+21y= 75
18x-17y= -47
y=7
Work backwards, substitute 7 into the above equation, you get x= 4 and then same for z to get z= -6
