Answer:
Step-by-step explanation:
m∠1+∠2=180
2x+40+2y+40=180
2x+2y=180-80
2x+2y=100
x+y=50
x=50-y
m∠1=m∠3
2x+40=x+2y
2x-x=2y-40
x=2y-40
2y-40=50-y
2y+y=50+40
3y=90
y=30
x=50-y=50-30=20
m∠1=2x+40=2×20+40=80°
m∠2=2y+40=2×30+40=60+40=100°
m∠3=x+2y=20+2×30=80°
Answer:
1/4
Step-by-step explanation:
Five bottles of sunscreen were shared equally among 20 campers. What fraction of a bottle for each camper use?
This question above is calculated as:
Number of bottles of sunscreen/Number of campers
= 5/20
= 1/4
Hence, fraction of a bottle for each camper use is 1/4
Answer:
see explanation
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x + 4)² + (y + 6)² = 16 is in this form
with r² = 16 ⇒ r =
= 4
---------------------------------------------------------------
given (h, k) = (5, 2) and r = 20, then
(x - 5)² + (y - 2)² = 400 ← represents the delivery area
Answer:
$40,000 decrease
Step-by-step explanation:
Change in total assets = Total Liabilities Decreased- StockHolders' equity increased
Change in total assets = 60000 - 20000
Change in total assets = $40,000 decrease
So, If total liabilities decreased by $60,000 and stockholders' equity increased by $20,000 during a period of time,<u><em>then the change in total assets will consist of a </em></u><u><em>decrease of $40,000 </em></u>
Answer:
We need to sample at least 1069 parents.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
How many parents do you have to sample?
We need to sample at least n parents.
n is found when
. So






Rounding up
We need to sample at least 1069 parents.