Answer:
5 is the coefficent of y if you simplify and 3 is the constant
Step-by-step explanation:
7y-2y=5y. The coefficient is the number that goes with the variable, or letter, such as y. The constant is the number that does not have any coefficients attached to it.
We use the Markov's inequality to solve for (a) and (b)
P(X > 18) = 16/18 = 8/9 or 0.8888 or 8.88%
P(X > 25) = 16/25 = 0.64 or 64%
For c, we use the z-score with the standard deviation as the square root of the variance
σ = √9 = 3
z = (X - μ) / σ
The limits are 10 and 22
For 10, the z-score is:
z = (10 - 16) / 3 = -2
For 22
z = (22 - 16) / 3 = 2
We use the z-score table to get the corresponding probability of the two limits and subtract the smaller probability from the bigger probability to get the actual probability. So, from the z-score table:
for z = -2, P = 0.0228
for z = 2, P = 0.9772
0.9772 - 0.0228 = 0.9544
The probability is 0.9544 or 95.44%
For (d), we do the same thing but we subtract the obtained probability from 1 since the condition is that the sales exceed 18
z = (18 - 16) / 3 = 0.67 which correspond to P = 0.7486
1 - 0.7486 = 0.2514
The probability is 0.2514 or 25.14%
Answer:
x=19/3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(x+5)=2(3x−2)
3x+15=6x+−4
3x+15=6x−4
Step 2: Subtract 6x from both sides.
3x+15−6x=6x−4−6x
−3x+15=−4
Step 3: Subtract 15 from both sides.
−3x+15−15=−4−15
−3x=−19
Step 4: Divide both sides by -3.
−3x
−3
=−19−3
x=19/3
Answer:
Here's a graph picture of all of the coordinates formed into a triangle.
Step-by-step explanation:
Its a PNG image.
Consider a homogeneous machine of four linear equations in five unknowns are all multiples of 1 non-0 solution. Objective is to give an explanation for the gadget have an answer for each viable preference of constants on the proper facets of the equations.
Yes, it's miles true.
Consider the machine as Ax = 0. in which A is 4x5 matrix.
From given dim Nul A=1. Since, the rank theorem states that
The dimensions of the column space and the row space of a mxn matrix A are equal. This not unusual size, the rank of matrix A, additionally equals the number of pivot positions in A and satisfies the equation
rank A+ dim NulA = n
dim NulA =n- rank A
Rank A = 5 - dim Nul A
Rank A = 4
Thus, the measurement of dim Col A = rank A = five
And since Col A is a subspace of R^4, Col A = R^4.
So, every vector b in R^4 also in Col A, and Ax = b, has an answer for all b. Hence, the structures have an answer for every viable preference of constants on the right aspects of the equations.