Answer:
(15.8495,16.2505)
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 16.05 ounces
Standard Deviation, σ = 0.2005 ounces
We are given that the distribution of amount poured into the bottles is a bell shaped distribution that is a normal distribution.
Empirical rule:
- It states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ).
- It shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).
Confidence interval:
Putting the values, we get,
Answer:
8
Step-by-step explanation:
5 + 7 = 12
48 / 12 = 4
5 x 4 = 20
7 x 4 = 28
There are 8 girls more than boys
Answer:
Clem's Height =38 Inches
Clyde's Height= 53 Inches
Chloe's Height = 47 Inches
Step-by-step explanation:
Let Clem's height be x, Clyde's height be y and Chloe's height be z
As given
x+y+z=11 feet 6 inches
As 1 Foot= 12 Inches so (11*12+6)=138
x+y+z= 138 inches (Equation 1)
Clem is 15 inches shorter than Clyde so:
x+15=y (Equation 2)
Clyde is 6 inches taller than Chloe
z=y-6 (Equation 3)
Putting z's value from equation 3 in equation 1
x+y+y-6=138
x+2y=138+6
x+2y=144 (Equation 4)
Putting Value of y from equation 1 in equation 4
x+2(x+15)=144
x+2x+30=144
3x=144-30
x=114/3
x=38
Putting x's value in equation 1 to get the value of y
38+15=y
y=53
Putting value of y in equation 3
z=53-6
z=47
Checking by putting values of x,y,z in equation 1 to see whether all heights equal 138 inches or not
38+53+47=138
138=138
Set up the ratios as proportional fractions:
We can simplify the first fraction to make the problem easier. Both the numerator and denominator of the first fraction can be divided by 3:
Both fractions now have the same denominator. Since both fractions have to equal each other, the numerators will also be the same. Therefore,
x = 4.
Its 5.6 ok because u need to divide this answer
