1•6 + 11•2
6+22
28 would be the answer
Hey There!!
The answer to this is: A quadrilateral has vertices A(3, 5), B(2, 0), C(7, 0), and D(8, 5). Which statement about the quadrilateral is true?" Line BC is parallel to line AD because their slopes is equal i.e. (0 - 0) / (7 - 2) = (5 - 5) / (8 - 3) which gives 0 / 5 = 0 / 5 giving that 0 = 0. We check whether line AB is parallel to line CD. Slope of line AB is given by (0 - 5) / (2 - 3) = -5 / -1 = 5. Slope of line CD is given by (5 - 0) / (8 - 7) = 5 / 1 = 5 We have been able to prove that the opposite sides of the quadrilateral are parallel which means that the quadrilateral is not a trapezoid. Next we check whether the length of the sides are equal. Length of line AB is given by sqrt[(0 - 5)^2 + (2 - 3)^2] = sqrt[(-5)^2 + (-1)^2] = sqrt(25 + 1) = sqrt(26) Length of line BC is given by sqrt[(0 - 0)^2 + (7 - 2)^2] = sqrt[0^2 + 5^2] = sqrt(25) = 5 Length of line CD is given by sqrt[(5 - 0)^2 + (8 - 7)^2] = sqrt[5^2 + 1^2] = sqrt(25 + 1) = sqrt(26) Length of line DA is given by sqrt[(5 - 5)^2 + (8 - 3)^2] = sqrt[0^2 + 5^2] = sqrt(25) = 5 Thus, the length of the sides of the quadrilateral are not equal but opposite sides are equal which means that the quadrilateral is not a rhombus. Finally, we check whether adjacent lines are perpendicular. Recall the for perpendicular lines, the product of their slopes is equal to -1. Slope of line AB = 5 while slope of line BC = 0. The product of their slopes = 5 x 0 = 0 which is not -1, thus the adjacent sides of the quadrilateral are not perpendicular which means that the quadrilateral is not a rectangle. Therefore, ABCD is a parallelogram with non-perpendicular adjacent sides. Thus, For (option A).
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ItsNobody~ ☆
Answer:
At least 98 is needed in the 5th game
Step-by-step explanation:
The missing parameters are:
at least
Required
The score in game 5 to make you advance
Mean is calculated as:
So, we have:
The mean must be at least 90.
So, we have:
Multiply both sides by 5
Make Game 5 the subject
<em>At least 98 is needed in the 5th game</em>
Based on the one-sample t-test that Mark is using, the two true statements are:
- c.)The value for the degrees of freedom for Mark's sample population is five.
- d.)The t-distribution that Mark uses has thicker tails than a standard normal distribution.
<h3>What are the degrees of freedom?</h3><h3 />
The number of subjects in the data given by Mark is 6 subjects.
The degrees of freedom can be found as:
= n - 1
= 6 - 1
= 5
This is a low degrees of freedom and one characteristic of low degrees of freedom is that their tails are shorter and thicker when compared to standard normal distributions.
Options for this question are:
- a.)The t-distribution that Mark uses has thinner tails than a standard distribution.
- b.)Mark would use the population standard deviation to calculate a t-distribution.
- c.)The value for the degrees of freedom for Mark's sample population is five.
- d.)The t-distribution that Mark uses has thicker tails than a standard normal distribution.
- e.)The value for the degrees of freedom for Mark's sample population is six.
Find out more on the degrees of freedom at brainly.com/question/17305237
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