Answer:
1. The elephant should be given _ fl oz.
2. Every term in Pattern B is 1/4 the corresponding term in Pattern A.
3. 0.9 < 1.1
4. There are 7 tons in 14,000 pounds.
5. There are 17900 Milligrams in 17.9 grams.
Step-by-step explanation:
1. One ton is 2,000 pounds. So you would have to multiply 5.5 x 2,000.
5.5 x 2,000 = 11,000
Then you have to divide 11,000 by 250.
11,000/250 = 44
2. Every term in Pattern B is 4 times less than the term in Pattern A.
3. 0.9 is smaller than 1.1.
4. One ton is 2,000 pounds. 14,000/2,000 is 7 so this would mean that 14,000 pounds is 7 tons.
5. One gram is 1,000 milligrams, so you would have to multiply 17.9 by 1,000. This gives you 17900.
This is a problem in "binomial probability." Either the archer hits his target or he does not. This experiment is performed 5 times (so that n=5), and the probability that the archer will hit the target is 0.7 (so that p=0.7).
We need to find the binomial probability that x=3 when the possible outcomes are {0, 1, 2, 3, 4, 5}.
You could use a table of binomial probabilities to evaluate the following:
P(5, 0.7, 3).
Alternatively, you could use a TI-83 or TI-84 calculator and its built-in "binompdf( " function.
I evaluated binompdf(5,0.7,3) and obtained the result 0.309.
Each X and Y in the equations don't have a number in front of them so they are all considered 1.
D = 1*(-1) - 1*(-1) = -1 -1 = -2
The answer is -2
Answer:
y = x + 1
Step-by-step explanation:
The gradient of a line can be defined by the equation:
m (gradient) = (y1 – y2 ) ÷ (x1 – x2) ----> "1" and "2" should be in subscript
For (-7,-6) we use x2 and y2 (because this point can be anywhere along a line):
x2 = -7, y2 = -6
Plug these values into the formula above:
m = (y-(-6)) ÷ (x-(-7))
m = (y+6) ÷ (x+7)
At this stage, the equation can't be solved as there are two unknowns. Therefore, the gradient must be found another way. Two lines are parallel if they have the same gradient - in their y=mx+c equations, m will be equal.
x - y=7 is the line alluded to in the question. Rearranging this equation into the line equation format gives:
y = x-7 ---> The gradient (coefficient of x) is 1.
Therefore, the gradient of the other parallel line must also be 1.
This can be substituted into the previous equation to give:
1 = (y+6)÷(x+7)
x+7 = y+6
x+1 = y
Therefore, the answer is y=x+1
Answer:
b 60 -4x 50 +2x=2,800 is 50 +. 2x
