Answer:
0.60 cents.
Step-by-step explanation:
If you have 15 cookies that costs $9, you need to divide 9 by 15. This will give you 0.6 cents, or 60 cents. If you multiply 0.6 x 15 cookies, you will get $9. This is the best I can explain it.
(I hope this helped).
Answer:
A. 1.06
B. $6,784
Step-by-step explanation:
I = A - P = $384.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year.
Solving our equation:
A = 6400(1 + (0.06 × 1)) = 6784
A = $6,784.00
The total amount accrued, principal plus interest, from simple interest on a principal of $6,400.00 at a rate of 6% per year for 1 year is $6,784.00.
Answer: (80% , 85%)
Step-by-step explanation:
We know that, confidence interval for population proportion is given by :-
(p-E , p+E)
, where p = sample proportion , E = Margin of error.
Given : Proportion of elementary school teachers who are female = 82%.
The article also states the maximum error of their estimate = 3%.
Then, the 90% confidence interval for the proportion of elementary school teachers who are female will be :
(82%-2% , 82%+3%)
= (80% , 85%)
Hence, the resulting 90% confidence interval for the proportion of elementary school teachers who are female = (80% , 85%)
Answer:
x(6 + 8x²) or 6x + 8x³.
Step-by-step explanation:
"The square of x" can be represented by x² and 8 times that would be 8 * x² or 8x². The sum of 6 and 8x² can be represented by 6 + x² and the product of x and 6 + x² can be represented by x * (6 + 8x²) or x(6 + 8x²) which simplifies to 6x + 8x³.
Answer and Step-by-step explanation:
Code: 2 letters | 4 digits | 3 letters
Options for letters: 26 (a b c d e f g h i j k l m n o p q r s t u v w x y z)
Options for letters: 10 (0 1 2 3 4 5 6 7 8 9)
How many different codes are possible?
26.26.10.10.10.10.26.26.26 = 26⁵.10⁴
How many codes are possible if repeating letters and digits is not allowed?
26.25.10.9.8.7.24.23.22 = 3.97837.10¹⁰
How many codes are possible if repeats are not allowed and the first letter must be 'X' and the first digit must be '4'?
1.25.23.1.9.8.7.24.23.22 = 1.53014.10⁸
If the wrong code is entered the vault automatically locks and the alarm sounds. Suppose repeating letters and digits are allowed in the code. What is ther probability of a thief breaking into the vault if the thief has no prior knowledge of the secret code?
1/(26⁵.10⁴)