Answer:
12 and 3.0984
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:

The standard deviation of the binomial distribution is:

In this problem, we have that:

So


So the correct answer is:
12 and 3.0984
Answer:
44 square cm
Step-by-step explanation:
Total Area = Area of triangle + Area of rectangle
= (1/2 * base * height) + (Length*Width)
= (1/2 × 8 × 6) + ( 10 × 2)
= 24 + 20
= 44 square cm
Answer:
Prime factorisation of the numbers -

As, we can see that the 5 is common in the both three numbers. So,
<u>GCF</u><u>,</u><u> </u> greatest common factor (35, 20, 15) = <u>5</u>
Answer:
18 boys
Step-by-step explanation:
Watch for units in questions. This will help you set up equations. You can do math with units. That's why area is in units of distance squared, (distance × distance = distance²) etc.
There is a rate given (units/units) which is 13 miles/day. When you multiply this by days, the days cancel out by division leaving miles. Or if total miles is divided by the rate (flip & multiply for fractions) you get days.
525 mi × (1 day / 13 mi) = days you can drive until fill up
~ 40.4 days
** at the end of 40th day or maybe even beginning of the 41st you will prob need to fill up the gas tank.
The problem wants you to replace these quantities with variables.
y = miles to/from work (13 mi)
x = miles until fill up (525 mi)
d = days you can drive
Then just replace the quantities with the assigned variables...
x/y = d