(a) If the value found in step 6 is 10, 20, 30, 40, 50 or 60 then the sum is even
(b) If the last digit of the value found in step 6 is 5, then the sum is odd

First, we analyze the algorithm.

Assume the outcomes of the two rolls are x and y

Step 4: Calculate sum

$Sum = x + y$

Step 5: Multiply Sum by 10

$Result = Sum \times 10$

Step 6: Divide by 2

$Result = Sum \times 10 \div 2$

$Result = Sum \times 5$

This means that, the algorithm simply multiplies the sum of the rolls by 5

Option (a): If step 6 is 10, 20, 30, 40, 50 or 60, then sum is even

Make Sum the subject in $Result = Sum \times 5$

$Sum = \frac{Result}{5}$

When 10, 20, 30, 40, 50 and 60 are divided by 5, the result is:

$Sum = 2, 4,6,8,10, 12$

All the above numbers are even number.

This means that, the sum is an even number.

Hence, (a) is true

Option (b): If the last digit of step 6 is 5, then the sum is Odd.

The possible sum of two rolls of dice, where the last digit ends in 5 are:

5, 15, 25, 35

When each of these are divided by 5, the result is:

$Sum = 1,3,5,7$

It is not possible to have a sum of 1 for two rolls

So, we have:

$Sum = 3,5,7$

All the above numbers are odd.

This means that, the sum is an odd number.

Hence, (b) is true

So, we can conclude that the true conditions are:

(a) and (b)

Read more about algorithms at:

brainly.com/question/17780739

7 0

3 years ago

What does it mean if a paint sample "matches" a known sample from a vehicle? Does this indicate the same source? Why or why not

lbvjy [14]

If a paint chip were to match a paint chip from a known sample, there is only a 1 inch 33,000 chance that the paint chip came from another vehicle. While this doesn't link a particular vehicle to a paint chip without question, it does mean that there is a very good chance that a paint chip comes from that car if the samples match incomposition and other factors.

7 0

3 years ago

Y_Kistochka [10]

Hi there,

the 3 similiarites between antebellum era republicans and gilded age republicans are:

Favored farming
law tariffs
states rights

Hope this is correct :)

Have a great day

8 0

4 years ago

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