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NARA [144]
3 years ago
5

A school district's superintendent wants to administer a test of life skills to a sample of students. The superintendent has amp

le time and resources to conduct the study, as well as access to detailed information about all students' addresses, courses, grades, and attendance. Which of the following would be the worst sampling method for the superintendent to use?
-Cluster Sampling
-Convenience Sampling
-Stratified Sampling
-Systematic Sampling
Mathematics
1 answer:
tangare [24]3 years ago
6 0

Answer:

-Convenience Sampling

Step-by-step explanation:

Convenience Sampling is a sampling method that is employed simply because the samples are easy to reach or access. It is a non-probability system of sampling and not a very strong method of sampling. For a serious research such as the one being conducted by the Superintendent, who has ample time to perform the research, this is not a very good sampling method. A Convenience style of research would mean that he can just walk into a cafeteria with students and administer the test to them.

Since he has detailed information of the students, he should choose any of the other mentioned sampling techniques in the options provided to randomly select the subjects. <em>This would help to</em> prevent bias, and enable him to make generalizations with the result of the research.

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Given sin x =-4/5 and x is in quadrent 3, what is the value of tan x/2
4vir4ik [10]

Answer:

We can write sin x in terms of tan x/2 using the formula:

⇒ sin x = (2 tan (x/2)) / (1 + tan2(x/2))

Therefore, using the above formula, we can find the values of tan x/2 by putting the value of sin x.

⇒ -4/5 = (2 tan (x/2)) / (1 + tan2(x/2))

Now, if we replace tan (x/2) by y, we get a quadratic equation:

⇒ 0.8y2 + 2y + 0.8 = 0

⇒ 2y2 + 5y + 2 = 0

By using the quadratic formula, we get y = -0.5, -2

Hence, the value of tan (x/2) = -0.5, -2

Now, we have two solutions of tan (x/2).

Now, let's check for the ideal solution using the formula tan x = (2 tan (x/2)) / (1 - tan2(x/2)).

For tan (x/2) = -0.5:

⇒ tan x = 2(-0.5) / 1 - (-0.5)2 = -4/3

It is also given that x lies in the third quadrant. We know that tan is positive in the third quadrant, and here we get tan x = -4/3 which is negative.

Hence, we can say that tan (x/2) = -0.5 is not a correct solution. Hence it is rejected.

Now let's check for tan (x/2) = -2.

⇒ tan x = 2(-2) / 1 - (-2)2 = 4/3

Here, we get tan x = 4/3 which is positive.

Hence, we can say that tan (x/2) = -2 is a correct solution.

5 0
2 years ago
The length of a swimming pool is 10 ft shorter than twice the width. the length is 35 ft. what is the width
Hatshy [7]
Okay so we need to figure out the width of the swimming pool using the length, and we know the width is 10 ft shorter than twice the width. I believe the easiest way to do this would be to first do 35-10, and then divide it in half. That gives us 12.5. To check our work I'll do the problem 12.5+12.5+10=35.

The width of the swimming pool is 12.5 ft.
8 0
2 years ago
Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I
inn [45]

Answer:

See explanation

Step-by-step explanation:

1. Factor the function f(x)=-2x^2+16x-30:

f(x)=-2x^2+16x-30=-2x^2+6x+10x-30=-2x(x-3)+10(x-3)=-2(x-3)(x-5).

2. The zeros (or the solutions of the equation f(x)=0) are x=3 and x=5. So? points (3,0) and (5,0) are the points on the graph that are the solutions of the equation.

3. Find the vertex:

x_v=-\dfrac{b}{2a}=-\dfrac{16}{2\cdot (-2)}=4,\\ \\y_v=-2\cdot 4^2+16\cdot 4-30=-32+64-30=2.

Thus, the coordinates of the vertex are (4,2) and the axis of symmetry is the vertical line that passes trough the vertex: x=4.

3 0
2 years ago
A jet travels for 410 miles in 2 hours. at this rate how far could the jet fly in 14 hours? What is the rate of speed of the Jet
Kobotan [32]

410/5 = ?

410/5 = 82

82 miles per hour

82*12 = ?

82*12 = 984

Answer: 984 miles in 12 hours

3 0
2 years ago
How many times smaller is 4 × 10-9 than 8 × 10-7? A. 200 B. 20 C. 20,000 D. 2,000
masya89 [10]

Answer:

17

Step-by-step explanation:

4×10-9= 4

8×10-7=21

21-4=17

4 0
3 years ago
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