Answer:
In statistics , the population is the set of all possible observations as per the researcher's objective .
For example if a researcher wants to find the average height of teenager of age group between 13 year and 15 years in Seattle, he will need the data of the population of height of teenager of age group between 13 year and 15 years in Seattle.
Here , A teacher needs to find out how many seventh graders will be going on a field trip.
Clearly as per her objective she need the data of all seventh graders .
So , the best describes the population that the teacher should survey would be : All seventh graders.
Jeanashupp
Step-by-step explanation:
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).
Hope It Helped!~ ♡
ItsNobody~ ☆
149/1502≈0.1, which is C. Hope it help!
Answer:
Step-by-step explanation:
Answer: Angle K measures 34° (approximately)
Step-by-step explanation: (Please refer to the picture attached).
The triangle has been described as having sides JKL and one of the angles identified as angle JLK measures 105 degrees. Also one of the sides labelled JK measures 4.7 while another side JL measures 2.7.
The law of sine (or sine rule) shall be applied as stipulated in the question and this is most appropriate because this rule in mathematics applies when you have a triangle with two sides and one of the angles (facing one of the two sides) given, or when you have two angles and one side facing one of the angles given.
In this question, you have been given two sides, JK and JL and you also have angle K (facing side JL) given. The Sine Rule is stated as follows
SinA/a = SinB/b = SinC/c
(Note that a/SinA = b/SinB = c/SinC is also very correct)
Substituting for the known values, our sine rule can now be re-written as
SinL/4.7 = SinK/2.7
Sin 105/4.7 = SinK/2.7
(Sin 105 * 2.7)/4.7 = SinK
(0.9659 * 2.7)/4.7 = Sin K
2.60793/4.7 = Sin K
0.5549 = Sin K
Checking the values with a calculator gives you
K = 33.70
K ≈ 34°
Therefore angle K = 34°
