$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{-2}~,~\stackrel{y_1}{14})\qquad C(\stackrel{x_2}{3}~,~\stackrel{y_2}{8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ BC=\sqrt{[3-(-2)]^2+[8-14]^2}\implies BC=\sqrt{(3+2)^2+(8-14)^2} \\\\\\ BC=\sqrt{25+36}\implies BC=\sqrt{61}\implies \stackrel{\textit{rounded up}}{BC=7.8}$

8 0

3 years ago

A veterinarian knows that the supplement glucosamine is beneficial for dogs’ joints. He wants to determine if a supplement with

Alborosie

Answer:

Colour of coat

Step-by-step explanation:

We are told that the veterinarian wants to determine if a supplement with both glucosamine and chondroitin would be more beneficial than glucosamine alone for dogs’ joint health.

In randomized block design, blocking is the arrangement of experimental units in groups known as blocks which are similar to one another.

Looking at the options given, by blocking on size, age or dog breed, the source of variability which led to the inconclusiveness initially would be controlled which then leads to a greater accuracy in result. Since there can be big, medium and small size of dog: there can be older or younger dogs: there can be different type of dog breeds as well. All these can likely affect the results of the experiment.

Whereas, blocking on colour of coat is not an appropriate variable because it has no effect on the experiment.

4 0

3 years ago

The arithmetic mean of 10 consecutive even integers is 3. What is the least of these 10 even integers?

Lady bird [3.3K]

Answer:

-6

Step-by-step explanation:

2n can be the smallest integer, and 2n + 18 will be the largest integer.

The sum of this, divided by two, will result in the average/mean.

(2n + 2n + 18)/2 = 3

Multiply each side by 2:

(2n + 2n + 18)/2 ⋅ 2 = 3 ⋅ 2

2n + 2n + 18 = 6

Combine the like terms:

4n + 18 = 6

Subtract 18 from both sides:

4n + 18 - 18 = 6 - 18

4n = -12

Divide each side by 4:

4n/4 = -12/4

n = -3

Since we decided to go by 2n:

2n = 2(-3) = <u>-6</u>

6 0

3 years ago