Answer:
Step-by-step explanation:
Let X be the first number.
(X)*(X+2)*(X+4)*(X+6) = 62985
(X^2 + 6X)^2 + 8(X^2 + 6X) = 62985
X = 13, AND X= -19
A. X = 13
(13)(15(17)(19) = 62985
B. X = -19
(-19)(-17)(-15)(-13) = 62985
Answer:
a) Mean=0 and Standard deviation=1
b) The z-scores have no units of measurement
Step-by-step explanation:
When we convert all the pulse rates of women to z-scores using the formula;
the mean is 0 and the standard deviation is 1.
The reason is that, the resulting distribution of z-scores forms a normal distribution which has a mean of 0 and a standard deviation of 1.
b) The z-scores are standardize scores and has no units of measurement. They give us how many standard deviations below or above the mean of the corresponding values.
Answer:
4x + 14
Step-by-step explanation:
The perimeter of the triangle is equal to the sum of its three sides.
The sides of the triangle are 3x-5, 2x, and 19-x.
Calculate their sum.
3x - 5 + 2x + 19 - x
Rearrange.
3x + 2x - x + 19 - 5
Add or subtract like terms.
4x + 14
The perimeter of the triangle is 4x + 14.
Answer:
2x + 3y ≥ 5
Step-by-step explanation:
See the graph attached.
The bold straight line passes through the points (1,1) and (4,-1).
Therefore, the equation of the straight line will be
⇒ 3(y + 1) = - 2(x - 4)
⇒ 3y + 3 = - 2x + 8
⇒ 2x + 3y = 5 ............. (1)
Now, the shaded region i.e. the solution to the inequality does not include the origin(0,0).
So, putting x = 0 and y = 0 in the equation (1) we get, 0 < 5
Therefore, the inequality equation is 2x + 3y ≥ 5 (Answer)
The length is 6 inches.
The width is 1 foot = 12 inches.
The perimeter is (6 + 12 + 6 + 12) = 36 inches (3 feet) .
"14 inches" is false.