25 percent increase 24 *1.25 =30
Answer:
Sample size should be atleast 617
Step-by-step explanation:
given that a 95% confidence interval for the mean of a population is to be constructed and must be accurate to within 0.3 unit.
i.e. margin of error <0.3
Std devition sample = 3.8
For 95% assuming sample size large we can use z critical value
Z critical = 1.96
we have

Sample size should be atleast 617 to get an accurate margin of error 0.3
Answer:

Step-by-step explanation:
step 1
Find the slope of the given line
we have

This is the equation of the given line in slope intercept form
The slope is 
step 2
Find the slope of the line parallel to the given line
we know that
If two lines are parallel, then their slopes are the same
therefore
The slope of the line parallel to to the given line is 
step 3
Find the equation of the line in point slope form

we have


substitute

step 4
Convert to slope intercept form

isolate the variable y



Answer
Find out the how much twine will he needs to pack 29 cartons today .
To proof
As given
uhammad, a shipping and receiving clerk, uses 1 yard, 2 feet, 4 inches of twine to wrap each carton he packs.
As given in the question
Convert the answer to larger units .
As between yard is the largest unit between yard, feet and inches.

and

Convert 2 feet into yard

Convert 4 inches into yard

twine to wrap each carton packs

L.C.M of (3 , 36) = 36
than the equation becomes


=1.77777778 yard
Now twine to wrap pack 29 cartons = 29× 1.77777778
= 51.5555556 yard
Now twine to wrap pack 29 cartons is 51.55 yard ( approx)
Hence proved
Answer:
22 3/4 ft
Step-by-step explanation:
The diagram seems to show a 6 1/2 ft person casting a 9 ft shadow at the same time a flagpole is casting a 31 1/2 ft shadow. You want the height of the flagpole.
<h3>Proportion</h3>
Shadow lengths are presumed proportional to the height of the object making them. This means ...
h/(31 1/2) = (6 1/2)/9 . . . . . all lengths in feet
Multiplying by 31 1/2, we get ...
h = (31 1/2)(6 1/2)/9 = (819/4)/9 = 91/4
h = 22 3/4 . . . . ft
The flagpole is 22 3/4 feet tall.