I'm pretty sure that this one is the correct factorization of the polynomial above: <span>a) (3x+4)(9x^2-12x+16)</span>
Given:
Cards labelled 1, 3, 5, 6, 8 and 9.
A card is drawn and not replaced. Then a second card is drawn at random.
To find:
The probability of drawing 2 even numbers.
Solution:
We have,
Even number cards = 6, 8
Odd numbers cards = 1, 3, 5, 9
Total cards = 1, 3, 5, 6, 8 and 9
Number of even cards = 2
Number of total cards = 6
So, the probability of getting an even card in first draw is:
Now,
Number of remaining even cards = 1
Number of remaining cards = 5
So, the probability of getting an even card in second draw is:
The probability of drawing 2 even numbers is:
Therefore, the probability of drawing 2 even numbers is 
. Hence, the correct option is (b).
Answer:
the answer is 1 2/3 - 1 3/7 ÷ (1/2+ 4/7) = 2/9
The way you should go about solving this really depends on how your teacher taught you...However, here's what I would recommend...
You know that 1/2 an hour is equal to 30 minutes, and 3/4 of an hour is equal to 45 minutes.
Using this you can then solve for how many pages she read per minute by dividing the number of pages read by the number of minutes read:11 pages/ 30 minutes to give you Monday's reading speed,and18 pages/ 45 minutes to give you Tuesday's reading speed.
Next, to calculate a percentage increase you need to do the following:
1. Determine the difference between the speeds (this means you will subtract Monday's reading speed from Tuesday's reading speed.)
2. Next you take that number and divide it by Monday's reading speed.
3. Multiply that answer by 100 to get the percentage.
I'm not going to tell you the speeds, as you should try to attempt to solve it by yourself, and I'm sure you need to show your work. I will however tell you that you should find there was a 3.3% increase from Monday to Tuesday.
If you need more help, let me know!
Step-by-step explanation:
complementary angles means that both of them together = 90
13y +12 + 20y + 12 = 90
add all y together and numbers together
33y + 24 = 90
solve for y
33y= 66. y= 2
now let's get the measurements of the angles
13(2) + 12= 38
20(2) + 12= 52
