2. Justify each step of the proof.Conjecture: If 2(x2 + 5) = 60, then x is 5 or –5.

1. 2(x2 + 5) = 60                 1.

2. 2x2 + 10 = 60                  2.

3. 2x2 = 50                          3.

4. x2 = 25                            4.

5. x = ±5                              5.

Answers

Answer 1

Answer: Hello,

2(x²+5)=60
<==>x²+5=30 (divided teh 2 members by the positive 5 :keep the equality)
<==>x²-25=0 (substract 25 from 2 members)
<==>(x-5)(x+5)=0 (remarquable product a²-b²=(a+b)(a-b))
<==> x= 5 or x=-5 (a product if null if one at least of its factor is null)

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A conditional relative frequency table is generated by row from a set of data. The conditional relative frequencies of the two categorical variables are then compared.If the relative frequencies are 0.48 and 0.52, which conclusion is most likely supported by the data?

A.) There is likely an association between the categorical variables because the relative frequencies are similar in value.

B.) An association cannot be determined between the categorical variables because the relative frequencies are similar in value.

C.) An association cannot be determined between the categorical variables because the relative frequencies are not similar in value.

D.) There is likely an association between the categorical variables because the relative frequencies are both close to 0.50.

Answers

If the relative frequencies are 0.48 and 0.52, we conclude that: A. There is an association between the categorical variables because they are similar in value.

What is a two-way frequency table?

A two-way frequency table can be defined as a type of table that is used for the graphical representation of frequencies (relative frequencies) that are associated with two (2) categorical variables.

This ultimately implies that, a two-way frequency table can be used to show, analyze, and examine the relationships that exists between two (2) categorical variables.

In conclusion, we can conclude that there is an association between the categorical variables because the relative frequencies have the same (similar) value, especially if theyare 0.48 and 0.52.

Read more on frequency here: brainly.com/question/20744563

Answer: A

Step-by-step explanation:

Did it on edge

What us the length of the altitude of the equilateral triangle below

Answers

Answer:

Height ( h) = 12 units.

Step-by-step explanation:

Given : An equilateral triangle with side = 8 √3.

To find : What us the length of the altitude of the equilateral triangle .

Solution : We have given equilateral triangle with side = 8 √3.

By taking the half triangle,

By the Pythagorean theorem :

(Hypotenuse)² = ( adjacent)² + (opposite)².

Plug the values Hypotenuse = 8√3 , adjacent = 4√3 , opposite = h.

(8√3)² = ( 4√3)² + (h)².

192 = 48 + (h)².

On subtracting by 48 both sides.

192 -48 = (h)².

144 = (h)².

On taking square root .

h = 12 .

Therefore, Height ( h) = 12 units.

The guy is right trust me mate

When a pair of blue jeans is made the leftover denim scraps can be recycled to make stationerypencils and more denim One pound of denim is left after making every five pairs of jeans. How
many pounds of denim would be left from 250 pairs of jeans

Answers

Answer:

50 pounds

Step-by-step explanation:

What is the perimeter of a rectangle with a length of 22 and a width of 68.8?

Answers

Perimeter = (2 lengths) + (2 widths) or 2(length + width).

2 (22 + 68.8) = 2 (90.8) = 181.6

it is 181.6. and now I am typing randomness

The expression 8 x plus 12 y represents the sum of Harry and Mike’s total monthly wages, where x represents the number of hours Harry worked and y represents the number of hours Mike worked. What is another way to write the expression, and what can you conclude from rewriting it in this way?A. 8 left parenthesis x plus 1.5 y right parenthesis ; Harry’s hourly wage is 1.5 times Mike’s.
B. 8 left parenthesis x plus 1.5 y right parenthesis; Mike’s hourly wage is 1.5 times Harry’s.
C. 12 left parenthesis 8 x plus y right parenthesis ; Harry’s hourly wage is 8 times Mike’s.
D. 8 left parenthesis x plus 4 y right parenthesis ; Mike’s hourly wage is 4 times Harry’s.