Suppose we want to know whether students who study more (hours per week) have a higher grade point average. What kind of question is this? *

Answer:

0.2240418 ; 0.57681

Step-by-step explanation:

Given the information above :

A) What is the probability of exactly three arrivals in a one-minute period?

Using poisson probability function :

p(x ; m) = [(m^x) * (e^-m)] / x!

Here, m = mean = 3, x = 3

P(3 ; 3) = [(3^3) * (e^-3)] / 3!

P(3;3) = [27 * 0.0497870] / 6

= 1.3442508 / 6

= 0.2240418

B) What is the probability of at least three arrivals in a one-minute period?

Atleast 3 arrivals

X >= 3 = 1 - [p(0) + p(1) + p(2)]

P(0 ; 3) = [(3^0) * (e^-3)] / 0! = (1 * 0.0497870) / 1 = 0.0497870

P(1 ; 3) = [(3^1) * (e^-3)] / 1! = (3 * 0.0497870) / 1 = 0.1493612

P(2 ; 3) = [(3^2) * (e^-3)] / 2! = (9 * 0.0497870) / 2 = 0.2240418

1 - [0.0497870 + 0.1493612 + 0.2240418]

1 - 0.42319 = 0.57681

Answer: W * L = 120

2W + 2L = 44

2W = 44 - 2L

W = 22 - L

(22-L) * L = 120

22L - L² = 120

L² - 22L = -120

L² - 22L + 121 = 121 - 120

(L - 11)² = 1

L - 11 = ±1

L = 11 ± 1

L = 10 or 12

Dimensions: 10 * 12

Step-by-step explanation: write it on paper

Assuming the first term that you listed is the first term of the sequence, the answer should be:

b(n) = -19 +8n

Answer:

-8

Step-by-step explanation:

any number divided by a nega is going to be neg if it is multiplied by two nega's its positive.

Answer:

76

Step-by-step explanation:

Well if you simply multiply 100x76 you would get 7,600. Or if you still have not learned to multiply just add 76+76 on a calculator until you get 7,600.

Answer:

56

Step-by-step explanation:

9-6=3

12 divided by 3 is 4

4x6=24

24+4=28

Do the same to the other side and you get 28

28+28=56

Hope it’s right

Answer:

(RUS)={ a,c,d,ef,g}

Step-by-step explanation:

All the number of alphabets present in R and S will be the union of set R and S

Answer:

30

Step-by-step explanation:

x=10

x^2+3x-130=0

x=10 or -13

there is no negative angle so the answer is ten

Answer:

89

Step-by-step explanation:

There are only 30 pages but last page number is 89.

The last page of the book would be with the number 89. For details, check the calculations below.

The number system is characterized as the arrangement or sequence in which the numbers are arranged in a mathematical order beginning from 0 in whole numbers.

In the given situation,

We know that,

Total pages available in the book = 30

And every third page is omitted from the book due to misprinting of the page numbers.

If we divided 90/3 = 30 pages are there. Hence, the last page would be 89 itself.

Thus, the above response is correct.

Learn more about "Numbers" here:

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Answer:

$25,000

Step-by-step explanation:

8 x $10 = 80 x 40 = $3,200

11 x $15 = 165 x 40 = $6,600

4 x $18 = 72 x 40 = $2,880

6 x $21 = 126 x 40 = $5,040

7 x $26 = 182 x 40 = $7,280

3200 + 6600 + 2880 + 5040 + 7280 = $25,000

I hope this helps!

-TheBusinessMan

Answer:

Linear function

Step-by-step explanation:

4

The polynomial in a standard form that represents the perimeter of the quadrilateral is [tex]22x-3[/tex].

Important information:

We need to find the polynomial in a standard form that represents the perimeter of the quadrilateral.

The perimeter of the quadrilateral is the sum of all of its sides.

[tex]\text{Perimeter}=3x-2+2x+12x+1+5x-2[/tex]

[tex]\text{Perimeter}=22x-3[/tex]

Therefore, the polynomial in a standard form that represents the perimeter of the quadrilateral is [tex]22x-3[/tex].

Find out more about 'Standard form of Polynomial' here:

https://brainly.com/question/12464670

Answer: The expression x(x + 1) is even for any integer x (since either x or x + 1 is even). So this says that 5 × even + 1 = even, or odd = even. Since there is no integer that is both even and odd, we have reached a contradiction and √5 is irrational. So the answer would be D.) because it cannot be expressed as a ratio of integers

Answer:

2

Step-by-step explanation:

So we have the equation:

[tex]7a+1+3=18[/tex]

Add 1 and 3:

[tex]7a+4=18[/tex]

Subtract 4 from both sides:

[tex]7a=14[/tex]

Divide both sides by 7:

[tex]a=2[/tex]

And we're done!

Answer:

E

Step-by-step explanation:

Answer:

The answer is E

Step-by-step explanation:

Hope this answer is helpful...

Hope this answer is helpful...

Hope this answer is helpful... Make me as brainliest....

Answer:

12 more

Step-by-step explanation:

y-5= 6+ (x+1)

5+6+1=12

x is 12 less than y.

Five less than y is six more than x + 1,

y - 5= 6 + (x + 1)

5 + 6 + 1 = 12.

Learn more about linear equations here: https://brainly.com/question/14323743

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Answer:

a, 32

b, -58

Step-by-step explanation:

a) g(0) = 6 - 0^2 = 6

--> f(g(0)) = 4 . 6 + 8 = 32

b) f(0) = 4 . 0 + 8 = 8

--> g(f(0)) = 6 - 8^2 = 6 - 64 = -58

Answer:

v+24

Step-by-step explanation:

I first drew a line with A in one side and C in the other side. Then, I put B in the middle, as it is the midpoint. Under AB, I put 4v, and under AC, I put 5v+24. To get BC, you must subtract 5v+24 and 4v. I did 5v+24-4v. All I really had to do was subtract 4v from 5v which gave me v, since I can only subtract like-term numbers. Anyway, after that, I got v+24. Hope this helped!

Answer:

Step-by-step explanation:

B) the sum is linear and the product is quadratic

D) the sum has one y-intercept and the product has two x-intercepts

The sum is linear and the product is quadratic and The sum has one y-intercept and the product has two x-intercepts are two statements which compare the sum and product

Two or more expressions with an Equal sign is called as Equation.

We need to find the statements which correctly compare the sum and product

The given statements are

1. Both functions have a constant rate of change.

2. The sum is linear and the product is quadratic.

3. The x-intercepts are the same.

4. The sum has one y-intercept and the product has two x-intercepts.

5. Both functions decrease for x > 2

A linear function simply means a function that represents a straight line on the coordinate plane.

In this case, the sum is linear and the product is quadratic while the sum has one y-intercept and the product has two x-intercepts.

Hence, the sum is linear and the product is quadratic and The sum has one y-intercept and the product has two x-intercepts are two statements which compare the sum and product

To learn more on Equation:

https://brainly.com/question/10413253

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Five added to the number, x.

Step-by-step explanation:

Five represents (5)

added to represents (+)

The number, x. represents (x)

Answer:

$75 + $12x

$153 if you add the money she already had, $78 if you don't

Step-by-step explanation:

Answer:

B on edge

Step-by-step explanation:

5^3sqrt10+4^3sqrt10

Answer:  1) 65°     2) 17°   3) 53°  or  37°

Step-by-step explanation:

[tex]1.\quad \cos \theta=\dfrac{adjacent}{hypotenuse}\\\\\\.\quad \quad \cos \theta=\dfrac{3}{7}\\\\\\.\qquad \qquad \theta=\cos ^{-1}\bigg(\dfrac{3}{7}\bigg)\\\\\\.\qquad \qquad \theta =65^o[/tex]

[tex]2.\quad \tan \theta =\dfrac{opposite}{adjacent}\\\\\\.\quad \quad \tan\theta =\dfrac{8}{26}\\\\\\.\qquad \qquad \theta =\tan ^{-1}\bigg(\dfrac{4}{13}\bigg)\\\\\\.\qquad \qquad \theta = 17^o[/tex]

3.  Which angle do you need? I solved for both:

               Bottom Right                     Top Left

[tex].\qquad \cos \theta=\dfrac{adjacent}{hypotenuse}\qquad \qquad \sin \theta = \dfrac{opposite}{hypotenuse}\\\\\\.\quad \quad \cos \theta=\dfrac{14}{23}\qquad \qquad \qquad \qquad \sin \theta=\dfrac{14}{23}\\\\\\.\qquad \qquad \theta=\cos ^{-1}\bigg(\dfrac{14}{23}\bigg)\qquad \qquad \quad \theta=\sin ^{-1}\bigg(\dfrac{14}{23}\bigg)\\\\\\.\qquad \qquad \theta =53^o\qquad \qquad \qquad \qquad \quad \theta =37^o[/tex]

Question 1:

cosθ = adj/hyp

cosθ = 3/7

θ = cos^-1(3/7)

θ = 65

Questions 2:

tanθ = opp/adj

tanθ = 8/26

θ = tan^-1(4/13)

θ = 17

Question 3:

Top left:

sinθ = opp/hyp

sinθ = 14/23

θ = tan^-1(14/23)

θ = 37

Bottom Right:

cosθ = adj/hyp

cosθ = 14/23

θ = cos^-1(14/23)

θ = 53

Best of Luck!

Answer:

I think D

Step-by-step explanation:

I hope it's right and I hope you mark me brainlist

Answer:

the answer is b. missing x:1 missing y:2

Step-by-step explanation:

We have three parts of the equation with a power:

x^2y, 5xy^3, and 7y^2

We can find the degree of each by the following:

x^2y; 2 + 1 = 3

5xy^3; 1 + 3 = 4

7y^2; 2

Therefore, the highest degree is 4.

Best of Luck!

Answer:

A) x(x-4)(x-1)/2(x+4)

Step-by-step explanation:

(x²-16)/(2x+8) * (x³-2x²+x)/(x²+3x-4)

factor

(x+4)(x-4)/2(x+4) * x(x-1)(x-1)/(x+4)(x-1)

You can take out both (x+4) from the first side, and both (x-1) on the second side.  Then you’re left with:

(x-4)/2 * x(x-1)/(x+4)

which equal

x(x-4)(x-1)/2(x+4)

which is A.

Answer:

x = 12.5

Step-by-step explanation:

x2 = 25 Divide both sides by 2

x = 12.5

Answer:

[tex]\huge\boxed{x = \± \ 5}[/tex]

Step-by-step explanation:

[tex]\sf x^2 = 25[/tex]

Taking sqrt on both sides

[tex]\sf \sqrt{x^2} = \sqrt{25}[/tex]

x = ± 5

Answer: The slope of the line is -2/3.

Step-by-step explanation:

How I think of it is that on the y plane on a graph, going from positive 1 to negative 1 you need to move down 2 places and thats the "rise" part of rise over run eventhough you moved down. Then on the x plane, going from 0 to 3 you need to move 3 spaces to the right on the graph and thats the "run" part of rise over run because you can either move left or right. Rise over run can also be thought of as change in y over change in x which means that since i went down 2 places on the y, the change in y was 2 and since we moved 3 places over on the x plane the change in x whould be 3. Since we move down and then to the right on the graph, the line being created would be negative, so you final answer for the slope is -2/3!

I hope this helps :)

Answer:

-2/3

Step-by-step explanation:

Hope this helps!

Answer:

37,1bilion tons*0,07=2,60 bilion tons (2d.p.)

Step-by-step explanation: