Answer: Add 9 to both sides to complete the square
Step-by-step explanation:
The formula for the number you need to add to complete the square is (b/2)^2. In this case, b = -6, so:
(b/2)^2 = (-6/2)^2 = (-3)^2 = 9.
(After adding 9 to both sides, you will get x^2 - 6x + 9 = 14 which can be factored to (x - 3)^2 = 14)
If the line is linear, a straight line, both should get the same answer. All the points on the line have the same ratio. So when they both solve for the slope, they will get the same answer.
Answer: "greater than" for each of the 4 dropdown menus
======================================================
Explanation:
Divide each value in the table by 40
You should get:
- Horse = 15/40 = 0.375
- Cow = 12/40 = 0.300
- Sheep = 14/40 = 0.350
- Pig = 19/40 = 0.475
Those decimal results are the experimental (ie empirical) probabilities. Theoretically, we should get 1/4 = 0.250 for each sticker type assuming each sticker is likely to be chosen. As you can see, each decimal value shown above is larger than the theoretical target of 0.250, so each answer is "greater than"
-----------
Here's another way to see why this is:
If we had 40 stickers total, and each animal has the same number of stickers, then we should have 40/4 = 10 stickers per animal type. But the table shows each frequency is above 10. So that must directly mean the empirical probability of picking any animal is greater than the theoretical probability.
Answer:
He would make $67.20 more a week if he got the increase.
Step-by-step explanation:
10% of $16.80 is $1.68. Add $1.68 to $16.80. You get $18.48. Multiply that by 40 hours. You get $739.20. Next, subtract $672 from $739.20. Your answer to that is how much more he'll make if he gets the increase.
Answer:
22
Step-by-step explanation:
Put all the other numbers at the right side of the equation.
-3x + 25 + x + 21 = 2 is the same as -3x + x = -44
-2x = -44
-x = -22
x = 22
