Answer: (60.858, 69.142)
Step-by-step explanation:
The formula to find the confidence interval for mean :
, where
is the sample mean ,
is the population standard deviation , n is the sample size and
is the two-tailed test value for z.
Let x represents the time taken to mail products for all orders received at the office of this company.
As per given , we have
Confidence level : 95%
n= 62
sample mean :
hours
Population standard deviation :
hours
z-value for 93% confidence interval:
[using z-value table]
Now, 93% confidence the mean time taken to mail products for all orders received at the office of this company :-

Thus , 93% confidence the mean time taken to mail products for all orders received at the office of this company : (60.858, 69.142)
Answer:
1. Anne = 21 Bobby=35, 450, 70+40+30=140
Step-by-step explanation:
- 1 21÷3=7
- 7×5=35
- 7-2=250
- 5=250
- 1=50
- 2×50+7×50=100+350=450
- 450
- we can see that it's multiplied by 10, so 70+40+30=140
Answer:
24.59 feet
Step-by-step explanation:
Let x represent the distance between Sam and the bird.
We have been given that am the owl is looking down at a 24° angle from the top of a tree that is 10 ft tall, when he spots a bird on the ground. We are asked to find the distance between Sam and the bird.
We can see from our attachment that Sam, the bird and angle of depression forms a right triangle with respect to ground. We can see that side 10 ft is opposite side and and side x is hypotenuse for the 24 degree angle.






Therefore, the bird is approximately 24.59 feet away from Sam.
Answer:
and 
Step-by-step explanation:
The equation of the isotope decay is:

14-Carbon has a half-life of 5568 years, the time constant of the isotope is:


The decay time is:
(There is no a year 0 in chronology).

Lastly, the relative amount is estimated by direct substitution:





Answer:
y=1/4x+3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-2)/(12-(-4))=4/(12+4)=4/16=1/4
y-y1=m(x-x1)
y-2=1/4(x-(-4))
y-2=1/4(x+4)
y=1/4x+4/4+2
y=1/4x+1+2
y=1/4x+3