What’s the area in polynomial standard form
1 answer:
Note that the Area of a rectangle is given by
Area = LB
Where L is the Length (the longer side) and B is the Breadth (or Width which is the shorter side).
From the image, L is (x+6).
Also from the image, B is (x+2)
This implies:
Open up the bracket by multiplying both terms:
Since the question says to leave it in polynomial form, that is your answer. Hope I helped? ☺️
Area = LB
Where L is the Length (the longer side) and B is the Breadth (or Width which is the shorter side).
From the image, L is (x+6).
Also from the image, B is (x+2)
This implies:
Open up the bracket by multiplying both terms:
Since the question says to leave it in polynomial form, that is your answer. Hope I helped? ☺️
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Answer:1 and 2
Step-by-step explanation:
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Volume needed
For first cylinder
For second cylinder
For Third cylinder
For fourth cylinder
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are appropriate as it is under
Answer:
(a) The probability that proportion of heads is between 0.30 and 0.70 is 1.
(b) The probability that proportion of heads is between 0.40 and 0.65 is 0.9759.
Step-by-step explanation:
Let <em>X</em> = number of heads.
The probability that a head occurs in a toss of a coin is, <em>p</em> = 0.50.
The coin was tossed <em>n</em> = 100 times.
A random toss's result is independent of the other tosses.
The random variable <em>X</em> follows a Binomial distribution with parameters n = 100 and <em>p</em> = 0.50.
But the sample selected is too large and the probability of success is 0.50.
So a Normal approximation to binomial can be applied to approximate the distribution of <em> </em>(sample proportion of <em>X</em>) if the following conditions are satisfied:
- np ≥ 10
- n(1 - p) ≥ 10
Check the conditions as follows:
Thus, a Normal approximation to binomial can be applied.
So,
(a)
Compute the probability that proportion of heads is between 0.30 and 0.70 as follows:
Thus, the probability that proportion of heads is between 0.30 and 0.70 is 1.
(b)
Compute the probability that proportion of heads is between 0.40 and 0.65 as follows:
Thus, the probability that proportion of heads is between 0.40 and 0.65 is 0.9759.
Answer:
Step-by-step explanation:
You have to use the discriminant for this. If the quadratic is , then
a = -4, b = -3, and c = 7. The formula for finding the discriminant is
which comes from the quadratic formula, but without the square root sign. Filling in:
which simplifies down to
D = 9 + 112 so
D = 121. This is a perfect square, so the solutions will be 2 real. Just so you know, you will NEVER have a solution like the one offered in the third choice down. If you have one imaginary root, you will ALWAYS have a second by the conjugate rule.