Answer:
4x
Step-by-step explanation:
Let's try to divide the sentence into multiple parts and then combine it one by one to make it easier to understand.
1. True
2 times y and 6 -------->(2y+6)
the square of the sum of "2 times y and 6" -------->(2y+6)^2
8 times "the square of the sum of 2 times y and 6"------> 8(2y+6)^2
2. True
the difference of x and 7 -------->(x-7)
9 and x -------->(9 + x)
2 times the product of the sum of
"9 and x" and "the difference of x and 7"-------> 2(9 + x) (x-7)
3. True
difference of 5 times x and 3 -------->(5x-3)
the square of the difference of 5 times x and 3------->(5x-3)^2
4. False
The description should be: the product of 7 and the square of x
the product of 7 and x -------->(7x)
the square of the product of 7 and x -------->(7x)^2
5. True
This one should be clear as it was one sentences
the sum of y squared(y^2) and three times y(3y) minus 4-------->y^2+ 3y -4
6. False
The description should be: the product of 5 and 8 times the square of x plus the sum of 20x and 8
the sum of 20x and 8 -------->20x+8
8 plus the square of x plus the sum of 20x and 8-------->8+ x^2 +20x+8
the product of 5 and.... ------->(5)(........
the product of 5 and
8 plus the square of x plus the sum of 20x and 8---->(5)(8+ x^2 +20x+8)
Answer:
-4/1
Step-by-step explanation:
To find the slope, first plot the two points we are given on the provided coordinate plain. Then using rise/run (slope) find the distance between the two points going up and over or rising and running. So we go up 4 and over 1, this means the slope is 4/1. Since the line we just graphed is going top left towards bottom right, it is negative.
Pic included...
I hope this helps u!! :)
Answer:
The probability that at least 280 of these students are smokers is 0.9664.
Step-by-step explanation:
Let the random variable <em>X</em> be defined as the number of students at a particular college who are smokers
The random variable <em>X</em> follows a Binomial distribution with parameters n = 500 and p = 0.60.
But the sample selected is too large and the probability of success is close to 0.50.
So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:
1. np ≥ 10
2. n(1 - p) ≥ 10
Check the conditions as follows:
Thus, a Normal approximation to binomial can be applied.
So,
Compute the probability that at least 280 of these students are smokers as follows:
Apply continuity correction:
P (X ≥ 280) = P (X > 280 + 0.50)
= P (X > 280.50)
*Use a <em>z</em>-table for the probability.
Thus, the probability that at least 280 of these students are smokers is 0.9664.
1 equals 0.46 (make a line over the 6 to show it is repeated)
2 equals 0.4 (make a line over the 4 to show it is repeated)
3 equals -0.6 (make a line over the 6 to show it is repeated)
4 equals -0.857142 (make a line over all numbers past the decimal to show it is repeated)
5 equals 3.3409 (make a line over the 09 at the end to show it is repeated)
6 equals -1.7727 (make a line over the 27 at the end to show it is repeated)
7 equals 66.5%
8 equals 3.16 (make a line over the 6 to show it is repeated)
9 equals -9 over 10
10 equals -17 over 20
11 equals -3 and 4 over 5
