Answer:

Step-by-step explanation:
-Given the boundaries as 0.412 and 0.878
-
is the point estimate for the population proportion and is calculated as follows:

#The margin of error, ME can be calculated for the confidence intervals using the formula:

#The number of individuals in the sample is the product of the point estimate and population size:

Hence, there are 645 individuals in the sample.
Answer:
44.81 feet
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
In the right triangle ACD
Find the length side AC (height of the small fire tower)
---> by TOA (opposite side divided by the adjacent side)
Solve for AC


step 2
In the right triangle ABE
Find the length side AB
---> by TOA (opposite side divided by the adjacent side)
solve for AB


step 3
How many feet off the ground is the squirrel?
Subtract the length side segment AB from the length side segment AC
so

Answer:
310
Step-by-step explanation:
total no.of students=1872
ratio of boys to girls=7:5
sum of ratio=total of students
12/12=1872
7/12=?
7/12*1872/1=1092which is the number of girls
1872-1092=780which is the number of boys
difference =1092-780= 310
Given
gas prices are now $3.75 and it up 10% from 6 months ago.
Find out how much were gas prices 6 months ago.
To proof
gas prices now = $3.75
let the gas price 6 month ago = x
gas price now is rise up 10% from 6 months ago
First write 10% in simpler form

= 0.1
Now the equation becomes
0.1x + x = 3.75
1.1x = 3.75

x = 3.41 (approx)
Thus gas prices 6 months ago be $ 3.41 (approx )
Hence proved
Answer: 56 degrees
Step-by-step explanation:
We know that angle between b and c is 90 degrees. Because there is a line dividing angles a and b from 124 and c, we also know that each side is 180 degrees (a and b add to 180, and 124 and c add to 180).
124 and c are supplementary angles. We can represent this in an equation to solve for c:
