Answer:
x= -2 or 4
Step-by-step explanation:
|1-x|=3
1-x=3 or -(1-x)=3
x= -2 or 4
Answer:
The perimeter of the triangle is 40.
Step-by-step explanation:
Pythagorean Theorem: If x and y are the leg lengths of a right triangle, then r = √(x^2 + y^2) is the length of the hypotenuse. Alternatively, x^2 + y^2 = r^2.
The side lengths 2x, 4x - 1 and 4x + 1 are already arranged in ascending order. Thus, (2x^)2 + (4x - 1)^2 = (4x + 1).
Performing the indicated operations, we get:
4x^2 + 16x^2 - 8x + 1 = 16x^2 + 8x + 1. Simplify this first by combining like terms:
20x^2 - 16x = 16x^2, or
4x^2 - 16x = 0, or
4x(x - 4) = 0. Thus, x = 0 (which makes no sense here) or x = 4.
The perimeter of the rectangle is the sum of the three sides 2x, 4x - 1 and 4x + 1. Substituting 4 for x, we get
P = 8 + 16 - 1 + 16 + 1, or 40.
The perimeter of the triangle is 40.
Answer:
College students' annual earnings is betweeen $2,514.33 and $3,907.67
Step-by-step explanation:
Hi, first, let´s introduce the formula that we need to use in order to find out the lower and higher limit of the interval.
Now, the only problem here is to find Z(alpha/2), so, let´s define that. Alpha is the remeining area of the normal distribution curve that is out of the limit, in other words, in this case, we need the 98% confidence interval, that means that 2% of the probs are going to be out of the range, therefore, this 2% is alpha. Since we need that the same area is removed from the left and right side of the uniform distribution curve, we need to find the value of Z in the uniform curve distribution table for 1% (that is 2%/2) and due to symmetry, we can now find the values of the interval (this means that we need the value of Z for 0.99, that is 2.33). Now, let´s find out the lower and higher limit of this interval.
So, the college students´annual earnings are between $2,514.33 and $3,907.67 with 98% of confidence.
5/8 = .625 which means that 5 is 62.5% of 8
4/7 = .571 which means that 4 is 57.1% of 7
hope this helps(;
Answer:
2(t-11)
Step-by-step explanation: