Answer:
The margin of error is of 0.01.
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 Z-table as such z has a p-value of 
.
That is z with a pvalue of 
, so Z = 1.037.
The margin of error is of:
In which 
is the standard deviation of the population and n is the size of the sample.
Standard deviation was 0.21.
This means that 
Sample of 450:
This means that 
What is the margin of error, assuming a 70% confidence level, to the nearest hundredth?
The margin of error is of 0.01.
Answer: the number of students that were surveyed is 40
Step-by-step explanation:
Let x = total number of students that were surveyed about their favorite colors
1/4 of the students preferred red.
This means that the number of students that preferred red is 1/4 × x = x/4
1/8 of the students preferred blue.
This means that the number of students that preferred blue is 1/8 × x = x/8
The remaining number of students will be the total number of students - the sum of the number of students that preferred red and the number of students that preferred blue. It becomes
x - (x/4 + x/8) = x - 3x/8 = 5x/8
3/5 of the remaining students were for green. This means that the number of students that preferred green is 3/5 × 5x/8 = 3x/8
if 15 students prefer green, then
3x/8 = 15
3x = 120
x = 120/3 = 40 students
Answer:
$186.86
Step-by-step explanation:
<u>4 eggs cost:</u>
1 dollar per dozen (12 eggs), so by unitary method (ratios), we can find cost of 4 eggs. Shown below:
So, 4 eggs cost $0.33 approx
<u>12 lb. flour cost:</u>
2.50 dollar per pound, so 12 pounds would simply cost:
2.5 * 12 = $30
<u>14 lb of sugar cost:</u>
4.50 dollar per pound means 14 pounds would cost:
4.5 * 14 = $63
<u>2 ready-made edible flowers cost:</u>
5 cents for each flower means 2 flowers would cost:
5 cent = 0.05 dollars
0.05 * 2 = $0.10
We add all up to find cost of 1 cake. Shown below:
Cost of 1 cake = $0.33 + $30 + $63 + $0.10 = $93.43
Cost of 2 cakes = $93.43 * 2 = $186.86
Simply substitute x for -3 and y for -5, creating the equation shown below:
-6 (-3 - 2(-5) )
Now that you have your values set up, now you can do the math by starting off with Multiplying -2 by -5, which will get you 10.
Now that you have the parenthesis simplified in the parenthesis, you can use the distributive property by multiplying all the numbers with -6, like so:
-6(-3+10)= 18 - 60, which simplifies to -42, in which (A) is your answer.
Answer:
256, 3125/2, 64
Step-by-step explanation:
4^2(4^2)=16(16)=256
5^4(5)/2^1=625(5)/2=3125/2
(5+3)^2=8^2=8*8=64
