MATHEMATICS MIDDLE SCHOOL

Johnny wants to know how many students in his school enjoy watching science programs on TV. He poses this question to all 26 students in his science class and finds that 75% of his classmates enjoy watching science programs on TV. He claims that 75% of the school's student population would be expected to enjoy watching science programs on TV. Is Johnny making a valid inference about this population? (5 points) Yes, it is a valid inference because his classmates make up a random sample of the students in the school
Yes, it is a valid inference because he asked all 26 students in his science class No, it is not a valid inference because he asked all 26 students in his science class instead of taking a sample from his math class
No, it is not a valid inference because his classmates do not make up a random sample of the students in the school

Answers

Answer 1

Answer:

Answer:

Option D is the correct answer.

Step-by-step explanation:

Given scenario is :

Johnny wants to know how many students in his school enjoy watching science programs on TV.

He poses this question to all 26 students in his science class and finds that 75% of his classmates enjoy watching science programs on TV.

He claims that 75% of the school's student population would be expected to enjoy watching science programs on TV.

No, this is not a valid inference as Johnny has asked the question to only his classmates. This does not denote the whole population of the school.

Therefore, the correct option is - No, it is not a valid inference because his classmates do not make up a random sample of the students in the school.

Answer 2

Answer: No is it not valid because that is only the kids in his class, not the whole school

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Choose yes or no to tell whether the expression represents a 20% discount off the price of an item that originally costs d dollars.

Answers

Answer:

Option A and C is correct.

Step-by-step explanation:

Discount is defined as a reduced price on something being sold or at a price lower than that item is normally sold for.

For a 20% discount,

Given:

Initial prices = $ d

Discounted price = % discount × original/initial cost

= 20/100 × d

= 0.2 × d

Selling price = original cost - discounted price

= d - 0.2d

= 0.8 × d

= 0.8d

Answer:

A: Yes

B:No

C: Yes

D: No

Step-by-step explanation:

I got 100% on the test with this question. Trust me.

If you answer ALL questions listed, you get a good amount of points (3 questions, 5 points each, 15 points total) :D

1) Which pair are solutions to the equation?

4xy + 8 = 36

A.
(7, 1) and (3, 2)

B.
(1, 7) and (7, 1)

C.
(1, 7) and (4, 9)

D.
(4, 9) and (3, 2)

2)
Which of the ordered pairs in the form (x, y) is a solution of this equation?

5x - y over 3 = 13,
(2, -9) (3, -6)

A.
The first is not a solution, but the second is.

B.

Both are solutions.

C.

The first is a solution, but the second is not.

D.

Neither is a solution.

3)
Which ordered pairs in the form (x, y) are solutions to the equation

7x – 5y = 28?

Choose all answers that are correct.

A.

(−6, −14)

B.

(−1, −7)

C.

(4, 10)

D.

(7, 9

Answers

1)

$4xy+8=36\n4xy=28\nxy=7$

We know that each coordinate (x,y) must therefore multiply to equal 7. The only numbers that multiply to 7 are 7 and 1, so B) is the correct answer.

2)

For this one, just plug in the coordinates they give you for x and y and see if either one works:

$5x-(y)/(3)=13\ \ \ \ \ \ \ (2,-9)\n5(2)-((-9))/(3)=13\n10-(-3)=13\n13=13$

So the first one is a solution. Now plug in the second one:

$5x-(y)/(3)=13\ \ \ \ \ \ (3,-6)\n5(3)-((-6))/(3)=13\n15-(-2)=13\n17=13$

Therefore, the first is a solution and the second isn't making C) the correct answer.

3)

For this one, just plug in the ordered pairs they give you and see which ones end up working:

$7x-5y=28\n\nA. (-6,-14)\n7(-6)-5(-14)=28\n-42+70=28\n28=28\n\nB.(-1,-7)\n7(-1)-5(-7)=28\n-7+35=28\n28=28\n\nC.(4,10)\n7(4)-5(10)=28\n28-50=28\n-22=28\n\nD.(7,9)\n7(7)-5(9)=28\n49-45=28\n4=28$

A) and B) are the only ones that work out, so those are the correct answers.

1. 4xy+8=36

4xy=28

xy=7

2. 5(2)-(-9)/3=13

10-(-3)=13

13=13

5(3)-(-6)/3=13

15-(-2)=13

17≠13

3. 7(-6)-5(-14)=28

-42+70=28

28=28

7(-1)-5(-7)=28

-7+35=28

28=28

7(4)-5(19)=28

28-50=28

-22≠28

7(7)-5(9)=28

49-45=28

4≠28

Hope this helps... :)

8x=352 Do I divide the 8 into 352?

Answers

Yes.

$8x = 532 \n\n (8x)/(8)=(532)/(8) \n\n \boxed{x=66.5}$

Answer:66.5

Step-by-step explanation:

The LCD of 2, 3, and 4 is

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solve the quadratic equation for x. What is one of the roots? (x + 6)^2 = 49

Answers

The value of one of the roots x of the quadratic equation $(x + 6)^2 = 49$ is 1.

A polynomial is an expression with nonnegative coefficients and consists of constants, variables, and operators ( addition, subtraction multiplication, and division)The highest power of the polynomial is called the degree of the polynomial. The polynomial whose degree is 2 is called a quadratic polynomial.

For example; $3x^2- 5x+9=0$ , here the degree of the polynomial is 2, so it is a quadratic polynomial.

The roots of the equation can be calculated as:

$( x+6)^2 = 49\n( x+6)^2 = (7)^2\n x+6 = 7\nx = 7-6\nx = 1$

Thus, one of the roots of the equation $(x + 6)^2 = 49$ is 1.

Learn more about polynomials here:

brainly.com/question/11536910

#SPJ6

Answer:

x equals -1 and it also equals -13. They are both considered the roots.

Step-by-step

(x+6)^2= 49 to get rid of the exponent square root each side of the equation.
(x+6)= √49 Find square root of 49.
(x+6)= ±7 It could be positive 7 or -7 because both of them squared equal 49. Now solve for each possible equation, (x+6)= 7 and (x+6)=-7.
(x+6)=7 subtract 6 from each side.
x= 1
(x+6)=-7 Subtract 6 from each side.
x=-13
So the answers are -13 and 1.

Help me with this plz I’m not understanding it

Answers

The scale means for 1 inch on the postcard the bridge is 19,600 inches long

Multiply the width of the postcard by the scale:

5.5 x 19,600 = 107,800 inches

1 foot = 12 inches.

Divide total inches by 12 to get feet:

107,800 / 12 = 8983

The closest answer is D. 8,980 feet.

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