Complete the table. Original Price Percent of Discount Sale Price $ 5% $57

erik [133]

If Kathy swims for at least 6 hours, she never swims for less than that amount but she could swim for 7, 8, 9, ... hours. The inequality would look like x>6 where x represents the hours that Kathy swims.

8 0

3 years ago

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2. Correlation basics Which of the following statements about correlation are true? Check all that apply. If the correlation bet

cluponka [151]

Answer:

The correct statements are: 1, 2, 3, 4 and 5.

Step-by-step explanation:

A correlation coefficient is a mathematical measure of certain kind of correlation, in sense a statistical relationship amid two variables.

It is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.

Positive correlation is an association amid two variables in which both variables change in the same direction.

A positive correlation occurs when one variable declines as the other variable declines, or one variable escalates while the other escalates.

Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.

If there is any alteration in the value of one variable, the value of the other variable is altered in a fixed proportion. The correlation amid them is known as perfect correlation.

In statistics, a perfect positive correlation is represented by +1 and -1 indicates a perfect negative correlation.

The correlation coefficient is scaleless. This implies that the value of the correlation coefficient does not changes if the scale of one or both the variables are altered.

Thus, the correct statements are: 1, 2, 3, 4 and 5.

5 0

3 years ago

Please helppppppppppppp

8090 [49]

Answer:

C and E

Step-by-step explanation:

The variable "y" has to be by itself so here is the breakdown to that:

-3x + 6y + 5 = - 7

6y + 6 = 3x - 7

6y = 3x - 7 - 6

6y = 3x - 12

6y/6 = 3x/6 - 12/6

y = 1/2 x - 2

Then you would graph -2 --> (0, -2) and use 1/2 to navigate upwards to get your answers.

5 0

3 years ago

Draw the largest possible square inside an equilateral triangle, with one side of the square aligned with one side of the triang

Ronch [10]

Answer:

Rectangular area

side a = 3 units

side b = 2.60 units

Step-by-step explanation: See annex

We have an equilateral triangle (3 equal sides, three equal inside angles)

side length = 6

∠ ABC = ∠BCA = ∠CAB = 60⁰

tan 60⁰ = sin 60⁰/cos 60⁰ = √3/2 / 1/2

tan 60⁰ = √3

From annex

tan ∠ ABC = √3 = b/x then b = √3 * x

and a = 6 - 2*x ( by symmetry)

Then

A = a*b

A(x) = ( 6 - 2*x ) * √3 *x

A(x) = 6*√3 *x - 2*√3 *x²

Taking derivatives on both sides of the equation we get:

A´(x) = 6*√3 - 4*√3 *x ⇒ A´(x) = 0 ⇒ 6*√3 - 4*√3 *x = 0

x = 6/4 ⇒ x = 1.5

then a = 6 - 2*x ⇒ a = 6 - 3 ⇒ a = 3 (units)

and b = √3*x = 1.5 *√3 = 2.60 units

We get a rectangle (almost a square)

7 0

3 years ago

A Chinese restaurant uses about 225 pairs of chopsticks each day. The manager wants to order a 30 day supply of chopsticks. The

Dafna11 [192]

They would need to order 9 boxes, because if they need 225 each day, for 30 days, you would do 225x30 to give you 6750. Then each box has 750 so you would divide 6750/750. That gives you 9

6 0

3 years ago

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