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ElenaW [278]
3 years ago
8

Delany wants to find out the way her friends are spending their summer vacation. She surveys a large number of students at a mov

ie theater about their favorite summer activity. The results of her survey are shown on the table below.
PICTURE INSERTED DOWN BELOW
Delany bases her conclusion on the results of her survey. She concludes that the favorite summer activity of most students is watching movies. Which statement best describes Delany's conclusion?

A.Delany's conclusion is not valid because she surveyed only students.
B.Delany's conclusion is valid because she surveyed a large number of students.
C.Delany's conclusion is valid because she surveyed students from many schools.
D.Delany's conclusion is not valid because she surveyed students at a movie theater.




Forever 21 is a local clothing store for teens. On Saturday a journalist for a teen magazine surveyed teenagers leaving this clothing store to determine which brand of clothing they like best. Which statement best explains why the results of this survey may not be valid?

A.The survey could have been conducted online.
B.The group surveyed consisted only of teenagers
C.The survey was conducted by a journalist from only one magazine.
D.The group surveyed consisted only of teenagers who shopped at the Forever 21.

Mathematics
1 answer:
lara [203]3 years ago
6 0
1. D. because if the students she surveyed had just left the movie theatre, meaning they were there to watch a movie, hence the conclusion that they like watching movies can be drawn. 2. D. because the same reason as number 1, the reporter only surveyed people that had shopped there, meaning that the people liked Forever 21 merchandise.
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  2. 4/5 of 40=32
  3. 32-26=6
  4. (or if you start with 26)
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Percents means "out of ______" <br><br> 50 <br><br> Questions <br><br> 1000 <br><br> 100
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A quadratic equation is shown below: 3x^2 − 15x + 20 = 0 Part A: Describe the solution(s) to the equation by just determining th
Anuta_ua [19.1K]
These are two questions and two answers:

Question 1:

<span>A quadratic equation is shown below: 3x^2 − 15x + 20 = 0 Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work.

Answer: </span><span>The negative value of the radicand means that the equation does not have real solutions.

Explanation:

1) With radicand the statement means the disciminant of the quadratic function.

2) The discriminant is: b² - 4ac, where a, b, and c are the coefficients of the quadratic equation: ax² + bx + c

3) Then, for 3x² - 15x + 20, a = 3, b = - 15, and c = 20

and the discriminant (radicand) is: (-15)² - 4(3)(20) = 225 - 240 = - 15.

4) The negative value of the radicand means that the equation does not have real solutions.

Question 2:

Part B: Solve 3x^2 + 5x − 8 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used.

Answer:
</span> two solutions x = 1 and x = - 8/3x

Explanation:

1) I choose factoring (you may use the quadratic formula if you prefer)

2) Factoring

Given: 3x² + 5x − 8 = 0

Make 5x = 8x - 3x: 3x² + 8x - 3x - 8 = 0

Group: (3x² - 3x) + (8x - 8) = 0

Common factors for each group: 3x(x -1) + 8(x - 1) = 0

Coomon factor x - 1: (x - 1) (3x + 8) = 0

The two solutions are for each factor equal to zero:

x - 1 = 0 ⇒ x = 1
3x + 8 = 0 ⇒ x = -8/3

Those are the two solutions. x = 1 and x = - 8/3
4 0
3 years ago
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