Leo and Maggie volunteer at the local bird sanctuary. Volunteers carry walkie-talkies. Leo notices that his walkie-talkie’s batt

-3(y+2)2-5+6y
Steps
Begin with multiplying: 3 x 2 = 6
= -6(y + 2) - 5 + 6y
Next, expand -6(y + 2): -6y - 12
= -6y - 12-5 + 6y
Now simplify
-6y - 12 - 5 + 6y
= -17

Response: Annabelle is employing the statistical concept known as Mode.

Detailed explanation: A central tendency measure, in its most basic sense, is a singular value or measure that effectively represents all elements of a particular data set. As such, one number can serve to essentially represent 99 other numbers in a data set of one hundred figures.

Commonly acknowledged measures of central tendency include mean, median, and mode.

The mode denotes the value that appears most often in a data set. Therefore, the modal value is statistically suitable as a representative of the entire group of values or data points.

If Annabelle measures the sides of 15 right triangles and concludes that the sum of the squares of the two legs is equal to the square of the hypotenuse for any right triangle, she is identifying the most frequently occurring value, and in her analysis, the most common data observed aligns with the Pythagorean Theorem.

This is why Annabelle's assumption is made with confidence.

Answer:

a. A relative-frequency distribution relates to a variable just as a _____probability_____ distribution relates to a random variable. b. A relative-frequency histogram pertains to a variable similarly to how a _____probability_____ histogram pertains to a random variable.

Step-by-step explanation:

Probability, a mathematical concept, involves numerical assessments of how likely a certain event may occur, indicating the validity of its occurrence. The range for the probability of any event is typically between 0 and 1,

with 0 signifying impossibility and 1 indicating certainty of occurrence.

Response:

PQ's slope is 0

MN's slope equals infinity

The lines PQ and MN are perpendicular to one another

Detailed explanation:

For two points in the coordinate plane, denoted as (x1, y1) and (x2, y2), the slope is determined as follows:

If a line has a slope of zero, it runs parallel to the X-axis and stands perpendicular to the Y-axis

If a line's slope is infinite, it is parallel to the Y-axis and perpendicular to the X-axis

Moreover, it is established that X and Y are perpendicular to each other.

As PQ's slope is zero, it runs parallel to the X-axis and perpendicular to the Y-axis

With MN having an infinite slope, it runs parallel to the Y-axis and perpendicular to the X-axis.

Therefore, lines PQ and MN are indeed perpendicular.

Response:

Step-by-step breakdown:

Kevin has already gathered five and a half gallons of water for his trip

He understands that he requires a minimum of 20 gallons of water for the journey.

The water is packaged in 32-fluid ounce (quarter-gallon) containers.

1 fluid ounce equals 0.0078125 gallons

32-fluid ounce

Let x represent the number of 32-fluid ounce (quarter-gallon) containers needed to collect at least 20 gallons of water for the trip.

One container holds 0.25 gallons of water

Therefore, x containers hold 0.25x gallons of water

Thus, Kevin's total gallons of water =

Since it is given that he needs at least 20 gallons of water for the trip.

Hence,

Thus, the algebraic inequality representing this scenario is