Answer:
P(rolling five distinct values) = 1/3888
Step-by-step explanation:
We are told that I the fair sided dice, 6 is replaced with 5.
Thus,the numbers are now;
1,2,3,4,5,5.
This means a total of 6 possible numbers appearing.
Now, in these 6 numbers there are only 5 distinct numbers since 5 occurs twice.
P(1) = 1/6
P(2) = 1/6
P(3) = 1/6
P(4) = 1/6
P(5) = 2/6
Thus,probability of rolling 5 distinct values = 1/6 × 1/6 × 1/6 × 1/6 × 2/6 = 1/3888
The trick to changing percent to decimal and decimal to present is simple
From percent to decimal : move the decimal place two places to the left and remove percent sign.
From decimal to percent: Move the decimal place two places to the right and put a percent sign.
Sooooo....
When you move the decimal - 79.2% - to the left two time - .792 - the answer left would be
A. 0.792
Answer: P = 8/15
Explanation:
There are 30 contact in total
And there are 16 contacts are people he met at school
P = 16/30 = 8/15
Answer with step-by-step explanation:
The way the question is worded, this actually shouldn't be correct. The correct answer should be 
.
Because the trapezoids are similar, we can find the ratio of their perimeters by actually just finding the ratio of their sides.
Why?
By definition, the corresponding sides of a polygon are in a constant proportion. The perimeter is simply the sum of all sides of the polygon. Since we're just adding the sides, the proportion will still be maintained.
Therefore, we'll just need to ratio of their corresponding sides. The only two corresponding sides that are marked are 
and 
.
The ratio of 
is 
.
The reason why it ideally should be and not 
is because the question states 
, which mentions 
first, so our answer should follow this respective order. I believe you were marked right anyways because the specific order is not specified, but generally, you want to give your answer respectively by default.
Answer:
- a) $56000
- b) DA = 2, GA = 10
Step-by-step explanation:
<u>Given</u>
- DA = A + B ⇒ $3000
- GA = A + 2B ⇒ $5000
- Number of A = 12
- Number of B = 22
<u>We can see from the equations that</u>
- GA - DA = B ⇒ $2000 and
- A = $1000 and B = $2000 in terms of profit
<u>So greater use of unit B brings greater profit. We don't want any unit is left over, so get this equation.</u>
Is the equation set to indicate use of the units A and B
<u>Solving we get </u>
<u>It this case all the units are used and profit is maximum</u>
- 2*$3000 + 10*$5000 = $56000
- Number of DA = 2
- Number of GA = 10
