1. Since it's m - 7 you would have 7 to both sides so you would in fact have m < 13. If you double check your answer, you see that if m is say 12 (because 12 is obviously less than 13), 12 - 7 < 6
2. Again, use the same process on this problem as the first one. Add 8 to each sides because it's you're subtracting 8 from n. So you end up with n > 13. Check your answer. Say n is 14. 14 - 8 > 5
3. This one is different because you are adding 5 to p. So in order to get p by itself, you need to subtract 5 from both sides. p < 5. Say p is 4, 4 + 5 < 10.
When working with problems like these, you need to isolate the variable on one side and get it by itself.
Answer:
5.83095 or √34
Step-by-step explanation:
Find the difference between coordinates:
(x2-x1) = (-1 - -4) = 3
(y2-y1) = (-10 - -5) = -5
Square the results and sum them up:
(3)2 + (-5)2 = 9 + 25 = 34
Now Find the square root and that's your result:
Exact solution: √34 = √34
Approximate solution: 5.831
Answer:
Total number of cards in a standard deck of card=52
As deck of card contain 13 club +13 heart +13 spade+13 Diamond.
P(Diamond)=13/52 =1/4
If the card is not diamond then
P(not diamond)=39/52=3/4
Since after drawing card is not replaced
P ( second Diamond)=12/51
now if second card is not Diamond.then
P(non diamond)=39/51
Chances of your winning i.e both cards are diamonds=1/4×12/51=1/17=0.0588..(approx)
chances of your friend winning=1/4×39/51=[1/4]×[13/17]=13/68=0.1911..(approx)
Your friend has got better chance to win because there are more chances that both the cards are not Diamonds.
The total amount of money he only made is calculated by
the formula:
amount made = 15,200 – 912
amount made = 14,288
Therefore the percentage commission was:
% commission = 912 / 14,288 * 100%
<span>% commission = 6.38 %</span>
5x² + 5x + 2x + 2
5x(x + 1) + 2(x + 1)
(5x + 2)(x + 1)
