Answer:
The answer to your question is $1.29
Step-by-step explanation:
Data
Total amount of cupcakes = 50
Total amount of sugar = 3 1/2 cups = 3.5 cups
Cost of 5-pound bag = $3.69
2 cups = 1 pound
Total cost = ?
Process
1.- Calculate the amount of pounds needed
2 cups ------------------ 1 pound
3.5 cups --------------- x
x = (3.5 x 1) / 2
x = 3.5 / 2
x = 1.75 pounds
2.- Calculate the price of 1.75 pounds
5 pounds -------------- $3.69
1.75 pounds ---------- x
x = (1.75 x 3.69)/5
x = 6.46/5
x = $1.29
3.- Conclusion
The cost of sugar to prepare 50 cupcakes is $1.29
Answer:
L = 25
Step-by-step explanation:
Let's call the Length x and width x - 15 since the width is 15 less than length
Eric needs 70 of fencing in total, the perimeter of a rectangle is calculated by adding all sides
x + x + (x - 15) + (x - 15) = 70 add like terms
4x - 30 = 70 add 30 to both sides
4x = 100 divide both sides by 4
x = 25
The answer is 21. 75²=5625 72²=5184 5625-5184=441 √441=21 so 21 is your answer. I hope this helps. The formula to figure out the hypotenuse A²+B²=C² can also be used to find a leg. Since we have one leg and the hypotenuse I was able to figure this out.
Using the z-distribution, it is found that the lower limit of the 95% confidence interval is of $99,002.
<h3>What is a z-distribution confidence interval?</h3>
The confidence interval is:
In which:
is the sample mean.
is the standard deviation for the population.
In this problem, we have a 95% confidence level, hence
, z is the value of Z that has a p-value of 
, so the critical value is z = 1.96.
The other parameters are given as follows:
Hence, the lower bound of the interval is:
The lower limit of the 95% confidence interval is of $99,002.
More can be learned about the z-distribution at brainly.com/question/25890103
#SPJ1
If you look closely the area where 3x is congruent to the other side of the 90 degree angle with one part as 0.5x + 34
So
3x + 0.5x + 34= 90
x will be 16
So plug it in
0.5(16) + 34= 42 degrees
And
3(16)= 48 degrees
That left half of the circle is 180 degrees and since we know the angle 3x is 48 degrees we subtract it from 180 to get angle AE
180-48
132 degrees is your answer
