Answer:
5x +4y
Step-by-step explanation:
The perimeter of a triangle is the sum of side lengths. That fact can be used to find z, the length of the third side.
(2x +3y) +(5x -2y) +z = 12x +5y . . . . sum of sides is perimeter
z = (12x +5y) -(7x +y) . . . . . . . . . . . . subtract (7x+y) from both sides
z = 5x +4y . . . . . . . . . collect terms; the length of the third side
The third side of the triangle is (5x +4y).
Answer:
-9
Step-by-step explanation:
3x + 1 = x -17
3x-x=-17-1
x = -9
Using the t-distribution, it is found that:
a. The <u>margin of error</u> is of 4.7 homes.
b. The 98% confidence interval for the population mean is (19.3, 28.7).
The information given in the text is:
- Sample mean of
. - Sample standard deviation of
. - Sample size of
.
We are given the <u>standard deviation for the sample</u>, which is why the t-distribution is used to solve this question.
The confidence interval is:

The margin of error is:

Item a:
The critical value, using a t-distribution calculator, for a two-tailed <u>98% confidence interval</u>, with 23 - 1 = <u>22 df</u>, is t = 2.508.
Then, the <em>margin of error</em> is:

Item b:
The interval is:


The 98% confidence interval for the population mean is (19.3, 28.7).
A similar problem is given at brainly.com/question/15180581
Answer:
8.26772
Step-by-step explanation:
1 centimeter is equaled to 0.393701 in inches so multiply it by 21
We'll use the slope-intercept form y = mx + b. Where m is the slope and b is the y-intercept.
We know the slope, -1/5. Now the equation looks like y = (-1/5)m + b
To find the y-intercept, plug in the ordered pair that the question gave us into our equation and solve for b.
7 = (-1/5)(-3) + b
7 = 0.6 + b
6.4 = b
b = 6 2/5
So, the y-intercept will be at 6 2/5.