The solution of given equation is x=2
Further explanation:
In order to solve the given equation we have to isolate the variable x on one side of the equation. The process will involve distributive property and simplification.
Given:
The solution of given equation is x=2
Keywords: Linear Equation, Distributive property
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Answer:
1
Step-by-step explanation:
First, we can find the equation of the parabola. The standard form of a parabola is ax^2 + bx + c,
where c is the y-intercept. The y-intercept on the graph is -5, and every option starts with x^2, so the equation must be x^2 - 5. This rules out options 3 and 4.
Next, we can find the equation of the line. The options are all given in slope-intercept form: y = mx + b, where b is the y-intercept. The y-intercept on the graph is 1, and option 1 has 1 in the place of b. Therefore, option 1 is the answer.
Answer:
0.000064 = 0.0064% probability that the box will contain less than the advertised weight of 466 g.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
N(489,6)
This means that 
What is the probability that the box will contain less than the advertised weight of 466 g?
This is the p-value of Z when X = 466. So
has a p-value of 0.000064
0.000064 = 0.0064% probability that the box will contain less than the advertised weight of 466 g.
Answer:
The length of the sides of the triangle are as follow: Two sides are 14.4 inches long and the shortest is 7.2 inches.
Step-by-step explanation:
P = 36in // perimeter of triangle
P = A + B + C //equation for perimeter of a triangle
A = B or B = A //Showing that two sides are equal in length
A = 2C and B = 2C //Showing that the two equal sides are each doubled of the shortest side
C = A/2 and C = B/2 //Showing the same thing as the top, but in terms of the shortest side
Solve for C //First we solve for the shortest side as it's easiest
36 = A + B + C
36 = 2C + 2C + C //Use substitution for A and B
36 = 5C
C = 7.2in
Solve for A
A = 2C
A = 2(7.2) //Use what we solved for C
A = 14.4in
Solve for B
B = A
B = 14.4in //Same as A
Check Work
P = A + B + C
P = 14.4 + 14.4 + 7.2
P = 36
