A professor compares the number of students at his school majoring in statistics, engineering, both, or neither.

How many items are in the sample space for a student at his school?
A. 1
B. 2
C. 3
D. 4

Answer:

Kindly check explanation

Step-by-step explanation:

From the given information :

Linear model : y = - 0.04x + 29.83

Quadratic model : y = - 0.02x² + 0.16x + 29.35

Cubic model : y = 0.02x³ - 0.38x² + 2.11x + 26.88

Predicted y value for X = 1 ; X = 2

Linear model :

y = - 0.04(1) + 29.83 = 29.79

y = - 0.04(2) + 29.83 = 29.75

Quadratic model :

X = 1

y = - 0.02(1)^2 + 0.16(1) + 29.35 = 29.49

X = 2

y = - 0.02(2)^2 + 0.16(2) + 29.35 = 29.59

Cubic model :

X = 1

y = 0.02(1)^3 - 0.38(1)^2 + 2.11(1) + 26.88 = 28.63

X = 2

y = 0.02(2)^3 - 0.38(2)^3 + 2.11(2) + 26.88 = 28.22

Based on the R² value of the models given :

Linear ; R² = 0.001 ; R = sqrt(0.001) = 0.0316

Quadratic ; R² = 0.001 ; R = sqrt(0.001) = 0.0316

Cubic ; R² = 0.008 ; R = sqrt(0.008) = 0.089

Hence, the model which best fits the data is Cubic model.

Answer:

d = C - 2/3

Step-by-step explanation:

Subtract 2/3 from both sides of the equation:

C = d + 2/3

-2/3     -2/3

-----------------

C - 2/3 = d

After rearranging the expression and taking the subject d is d = C - 2/3 or d = (3C-2)/3.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

C=d + 2/3

C - 2/3 = d (subtract both side by 2/3)

or

d = C - 2/3 or

d = (3C-2)/3

Thus, after rearranging the expression and taking the subject d is d = C - 2/3 or d = (3C-2)/3.

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Answer:

8 - 6 ÷ 2 + 3 × 5

8 - 3 + 15

5 + 15

20

Answer:

9;11 is answer

Step-by-step explanation:

number of women=100 - 45 = 55

men; women= 45;55

= 45/55

=9/11

=9;11

Answer: A

Step-by-step explanation:

The answer is letter A..

Answer:

the area of the trapezoid is 32

Step-by-step explanation:

a (base)2

b (Base)6

h (height)8

Answer:

it is B

Step-by-step explanation:

Answer:

Yes, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66

Step-by-step explanation:

H0 : σ² = 2.66²

H1 : σ² < 2.66²

X²c = (n - 1)*s² ÷ σ²

sample size, n = 40

Sample standard deviation, s = 1.9

X²c = ((40 - 1) * 1.9²) ÷ 2.66²

X²c = 140.79 ÷ 7.0756

X²c = 19.897

Using a confidence level of 95%

Degree of freedom, df = n - 1 ; df = 40 - 1 = 39

The critical value using the chi distribution table is 25.6954

Comparing the test statistic with the critical value :

19.897 < 25.6954

Test statistic < Critical value ; Reject the Null

Hence, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66

Answer:

$117.25

Step-by-step explanation:

To solve, multiply the interest by the total amount in savings.

You can calculate simple interest in a savings account by multiplying the account balance by the interest rate by the time period the money is in the account. Here's the simple interest formula: Interest = P x R x N. P = Principal amount (the beginning balance).

Brenda get $117.25 as interest from her bank.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. With the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Brenda learned that her bank would pay her 5% on her money in her savings account if she had at least $1,000 in it.

Brenda had $2,345 in her savings account.

So, the interest Brenda get

= 2345 x 5/ 100

= 2345 x 0.05

= $117.25

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The hypotenuse = √2 · legs

x = √2 · 5

x = 5√2

Answer:

if the numbers are together

Step-by-step explanation:

63210 is the correct answer friend

hope it helps

The length of the third side is 12 units

From the question, we have the following parameters that can be used in our computation:

A right triangle

This means that we can calculate the third length using the Pythagoras theorem

using the above as a guide, we have the following:

x = √(15² - 9²)

Evaluate the exression

x = 12

Hence, the third length is 12 units

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The value of the expression 4d ÷ c + 3 is 11.

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of expressions.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression.

Given:

4d ÷ c + 3

Now, for d= 6 and c= 3

we have

4d ÷ c + 3

= 4(6) / 3 + 3

= 4(2) + 3

= 8+ 3

= 11

Hence, the value of the expression is 11.

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Answer: The answer is D

The amount of paper needed to cover the rectangular bulletin board is 1,073 square inches. The correct answer is: D. 1,073 in²

To calculate the amount of paper needed to cover a rectangular bulletin board, we need to find the area of the board.

Given:

Width of the bulletin board = 29 inches

Height of the bulletin board = 37 inches

To find the area, we multiply the width by the height:

Area = Width * Height

Area = 29 inches * 37 inches

Area = 1,073 square inches

Therefore, the amount of paper needed to cover the rectangular bulletin board is 1,073 square inches.

The correct answer is:

D. 1,073 in²

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Answer:

14 sides

Step-by-step explanation:

The sum of all interior angles of a polygon = (n - 2)180°

2160° = (n - 2)180°

[tex]n - 2 = \frac{2160 \degree}{180 \degree} \\ \\ n - 2 = 12 \\ \\ n = 12 + 2 \\ \\ n = 14[/tex]

Hence, the polygon has 14 sides.

Answer:

C) x = 3.7

Step-by-step explanation:

sin 41° = x/5.6

0.6561 = x/5.6

x = 3.7

Answer:

A.

Hope this helps :D

Answer:

(10-8) + n

Step-by-step explanation:

Good luck with your work!

Answer and Step-by-step explanation:

To subtract 8 from 10, it would look like this:

10 - 8.

Now, we add n to the result.

(10 - 8) + n

The question said not to simplify any part of this, so this is the expression.

(10 - 8) + n

#teamtrees #PAW (Plant And Water)

Answer:

i think its c

Step-by-step explanation:

Answer:

The question is an incomplete question

Answer:

2 one

Step-by-step explanation:

Answer:

28

Yes Pog, You are Poggers

I believe it is A and C.

There are 6 slots on the wheel, so both the numbers in A and E can be divided/multiplied to fit this criterion.  For example, 3 times 2 is 6 (the number of gender slots) and 1 times 2 is two, so two out of 6 art teachers will be female.

I hope this helps!!!

Answer:

Parameter of interest is the proportion of games won by a certain team.

H0 : p = 0.5

H1 : p ≠ 0.5

Step-by-step explanation:

Parameter refers to any statistical measure which is derived from the population data. Therefore, the parameter of interest in the scenario described above is the proportion of win or loss by a particular team. This could be either team A or team B.

Probability of either of either win or loss :

Proportion, p of win = 0.5

Null hypothesis ; H0 : p = 0.5

Alternative hypothesis ; H1 : p ≠ 0.5

Answer:

300%

Step-by-step explanation:

By increasing the down payment from 1,000 to 4,000, how does the total purchasing cost change?

If down payment is increased from 1000 to 4000

Icecrement = 4000-1000

Increment =3000

Percentage increase = 3000/1000×100

Percentage increase = 3000/10

Percentage increas=300%

Answer:

x + 2 y − 9

Step-by-step explanation:

Answer:

x+2y-9

Step-by-step explanation:

[tex]2x+2y-x-(8+1)\\ 2x-x+2y-9\\ x+2y-9[/tex]

Answer:

A = a^2 + b^2 = C^2

P = 144 + 25 = C^2

P = 169

square root 169 = 13

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

One triangle

Step-by-step explanation:

Since the sum of the shorter two sides is greater than the larger side.