We cannot calculate the confidence interval without the sample size. However, for the second question, the sample size needed would be 49.
The formula we use is

To find the z-score:
Convert 98% to a decimal: 0.98
Subtract from 1: 1-0.98 = 0.02
Divide by 2: 0.02/2 = 0.01
Subtract from 1: 1-0.01 = 0.99
Using a z-table (http://www.z-table.com) we see that this value is closest to a z-score of 2.33.
Using the z-score, our standard deviation (9) and our margin of error (3), we have:
Answer:
6 dozens
Step-by-step explanation:
Vanilla, v = x
Chocolate, c = 3x
Strawberry, s = 3 dozens = 36
Total cupcakes = 132
Hence,
x + 3x + 36 = 132
4x = 96
x = 96 / 4
x = 24
Chocolate = 3 * 24 = 72
Dozens of chocolate = 72 /12 = 6 dozens
Answer:
x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4
Step-by-step explanation:
Solve for x over the real numbers:
8 x^2 - 12 x - 23 = -5
Divide both sides by 8:
x^2 - (3 x)/2 - 23/8 = -5/8
Add 23/8 to both sides:
x^2 - (3 x)/2 = 9/4
Add 9/16 to both sides:
x^2 - (3 x)/2 + 9/16 = 45/16
Write the left hand side as a square:
(x - 3/4)^2 = 45/16
Take the square root of both sides:
x - 3/4 = (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4
Add 3/4 to both sides:
x = 3/4 + (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4
Add 3/4 to both sides:
Answer: x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4
We know that
<span>each space on the balance represents
1 kg/ 10 spaces----------> 0.10 kg
in the picture there are 14 spaces
so
14*0.1-------> 1.4 Kg
</span>
Part A) About how many kilograms of oranges does Andrea have? Round your answer to the nearest kilogram
Andrea has 1.4 kg of oranges------> to the nearest kilogram-----> 1 Kg
the answer is
1 kg
Part B) About how many more kilograms of oranges does Andrea need?
Andrea needs=(4 Kg-1.4 Kg)------> 2.6 Kg
the answer part B) is
2.6 Kg
Answer:
what do you mean like 4 with a exponent of 2,3,4,5,6,7,8,9,10?
Step-by-step explanation: