Answer: Our required probability is 
Step-by-step explanation:
Since we have given that
Number of cards in a deck = 52
Number of nines = 4
Number of hearts = 13
It is the case of replacement.
Probability of drawing a nine the first time and a hear the second time is given by

Hence, our required probability is 
Answer:
a:b:c=2:5:3
Step-by-step explanation:
a:b=10:25
a:b=2:5(divided by 5)
b:c=45:27
b:c=5:3(divided by 9)
a:b:c=2:5:3
Answer: 15° and 70°
Step-by-step explanation:
The sum of angles of a triangle is 180.
One of the angle is given to be 95°, this means that the sum of the remaining two angles will be ;
180 - 95 = 85°
The ratio of the two sides is given to be 3 : 14
Calculating the angles of each ,the angle with the ratio 3 will be
3/17 x 85 = 15°
The angle with the ratio 14 will be
14/17 x 85 = 70°
Therefore : the measures of the two angles are : 15° and 70°
We have been given that an employee shreds 341 pages in 11 minutes of work.
First of all we will divide 341 by 11 to find number of pages shred by employee in one minute.

Now let us multiply 31 by 20 to find number of pages shred by employee in 20 minutes.

Therefore, employee will shred 620 pages in 20 minutes.
Answer:
The margin of error for the 99% confidence level for this sample is ±2.23.
None of the given figures is close to the answer:
E. None of the above
Step-by-step explanation:
margin of error (ME) around the mean can be calculated using the formula
ME=
where
- z is the corresponding statistic of the 99% confidence level (2.576)
- s is the population IQ standard deviation (15)
- N is the sample size (300)
Using these numbers we get:
ME=
≈ 2.23