Answer:

Step-by-step explanation:
The formula for direct variation is
y = kx
1. Calculate the value of k
y = 14 when x = 2

2. Value of y
k =7; x = 6

3.8+7.6+9.3+31+43+54+62+89+107+119+123+127=775.7
775.7/12=64.64166666666667
So the mean is 64.64
Answer:
c) there is an efficient algorithm to test whether an integer is prime
Step-by-step explanation:
The basis of modern cryptography is the fact that factoring large numbers is computationally difficult. No algorithm is efficient for that purpose.
<h3>Choices</h3><h3>a)</h3>
False - there is no known efficient algorithm for factoring large numbers
<h3>b)</h3>
False - there are 78,498 prime numbers less than 1,000,000. That is about 8% of them--far from being "most of the integers."
<h3>c) </h3>
True - a variety of algorithms exist for testing primality. In 2002, a test was published that runs in time roughly proportional to the 7.5 power of the logarithm of the number being tested.
<h3>d)</h3>
False - there is no known efficient algorithm for factoring large numbers
Answer:
Number of sundaes = 36
Number of banana split = 28
Step-by-step explanation:
On that day, let the number of sundaes sold be x
Now, since they sold 8 more sundaes than banana, the number of bananas sold is x-8
So the cost of sundaes sold will be 2 * x = 2x
the total cost of banana splits sold will be 3(x-8) = 3x -24
The addition of both equals 156
Hence;
2x + 3x-24 = 156
5x -24 = 156
5x = 156 + 24
5x = 180
x = 180/5
x = 36
So
number of sundaes sold is 36 while the number of bananas split sold is 36-8 = 28