To solve for the confidence interval for the population
mean mu, we can use the formula:
Confidence interval = x ± z * s / sqrt (n)
where x is the sample mean, s is the standard deviation,
and n is the sample size
At 95% confidence level, the value of z is equivalent to:
z = 1.96
Therefore substituting the given values into the
equation:
Confidence interval = 3 ± 1.96 * 5.8 / sqrt (51)
Confidence interval = 3 ± 1.59
Confidence interval = 1.41, 4.59
Therefore the population mean mu has an approximate range
or confidence interval from 1.41 kg to 4.59 kg.
X= number of hours would it take Jason to wash the van by himself.
2x=number of hours would it take Wendy to wash the van by herserlf.
<span>we calcaulate the fraction of work by Jason during one hour </span>
x hours-----------------------------1 work
1 hour---------------------- fraction of work during one hour.
fraction of work during one hour=(1 hour * 1work) / x hours=1/x
we calculate the fraction of work by Wendy during one hour.
2x hours-----------------------------1 work
1 hour---------------------- fraction of work during one hour.
fraction of work during one hour=(1 hour * 1work) / 2x hours=1/2x
We can suggest this equation:
2 hours(fraction of work by Jason during one hour + fraction of work by Wendy during one hour)=1 work
2(1/x + 1/2x)=1
least common multiple=2x
2(2+1)=2x
2(3)=2x
6=2x
x=6/2
x=3
answer: 3 hours would ti take Jason to wash the van by himself.
Answer:
D
Step-by-step explanation:
Sorry I'm late
X ≥ 20
x = total number of minutes read
20 = minimum amount of minutes read
Answer:
y = 147.56 - 10.78x
Step-by-step explanation:
Given :
x = 10.2 ; y = 37.6 ; Sx = 2.8 ; Sy = 30.8 ; r = - 0.98
The regression equation :
y = mx + c
Where ;
m = slope ; c = intercept
Slope = r * (Sy/Sx)
Slope = - 0.98 * (30.8 / 2.8)
Slope = - 0.98 * 11 = - 10.78
To obtain c :
y = mx + c
y - mx = c
37.6 - (-10.78)(10.2) = c
37.6 + 109.956 = c
147.556 = c
Hence, equation becomes :
y = 147.556 - 10.78x
y = 147.56 - 10.78x