As Kevin got better he wanted a raise to $14.00 for every 5 problems. How much does Kevin make per problem?

What is the meaning of backtracking?

tia_tia [17]

Answer:

Retracing your steps

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

At a certain time of day, the angle of elevation is 40°. To the nearest foot, find the height of a tree whose shadow is 31 feet

elena-s [515]

Answer: Height of tree = 26 ft

Make a triangle ABC with 40 degrees angle. The shadow is the base of the triangle equals 31 feet.

Base = AC = 31

Perpendicular = CB = ?

Hypotenuse = AB

Using trigonometric equation

tan 40 (deg) = CB / AC

CB = Tan 40 x AC

CB = 0.83909 x 31

CB = 26.011

Thus the height of the tree = 26 ft

7 0

3 years ago

I'll mark the first correct answer brainliest. i only need the bottom question. thanks :)

tankabanditka [31]

Answer:

1/2x^2 -3

Step-by-step explanation:

The first equation is 1/2x^2 + 1 and since this equation is the first one minus 4 1-4= -3 so you would get this new equation.

3 0

3 years ago

There are 14 juniors and 16 seniors in a chess club. a) From the 30 members, how many ways are there to arrange 5 members of the

Dmitrij [34]

Answer:

a) 17,100,720

b) 4,717,440

c) 10,920

d) 2821

Step-by-step explanation:

14 juniors and 16 seniors = 30 people

a) From the 30 members, how many ways are there to arrange 5 members of the club in a line?

As it is a ordered arrangement

30.29.28.27.26 = 17,100,720

b) How many ways are there to arrange 5 members of the club in a line if there must be a senior at the beginning of the line and at the end of the line?

16.28.27.26.15 = 4,717,440

c) If the club sends 2 juniors and 2 seniors to the tournament, how many possible groupings are there?

Not ordered arrangement. And means that we need to multiply the results.

C₁₄,₂ * C₁₆,₂

C₁₄,₂ = 14.13.12! = 14.13 = 91

12! 2! 2

C₁₆,₂ = 16.15.14! = 16.15 = 120

14! 2! 2

C₁₄,₂ * C₁₆,₂ = 91.120 = 10,920

d) If the club sends either 4 juniors or 4 seniors, how many possible groupings are there?

Or means that we need to sum the results.

C₁₄,₄ + C₁₆,₄

C₁₄,₄ = 14.13.12.11.10! = 14.13.12.11 = 1001

10! 4! 4.3.2.1

C₁₆,₄ = 16.15.14.13.12! = 16.15.14.13 = 1820

12! 4! 4.3.2.1

C₁₄,₄ + C₁₆,₄ = 1001 + 1820 = 2821

7 0

3 years ago

On a test that has a normal distribution, a score of 49 falls two standard deviations below the mean, and a score of 61 falls on

Zolol [24]

The mean of this test will be 57.

<h3>What is Standard Deviation and Mean?</h3>

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean.

The mean can be used to get an overall idea, or picture, of the data set.

Let Mean be 'm'

and standard deviation= $\sigma$

So, m-2 $\sigma$ =49

and, m + $\sigma$ =61

Solving the above two equation we get

$\sigma =4$

Now, m= 61- $\sigma$

= 61-4

= 57

So , the mean of this test will be =57

Learn more about mean and standard deviation here:

brainly.com/question/16030790

#SPJ1

6 0

2 years ago