Thirty students were asked what their favorite number from 1 through 9 was. The results were 8 students said 3. 6 students said 4, 9 students said 7, and 2 students said 9. What is the experimental probability that the number 7 was picked as the favorite number?

Answer:

x = 16

y = 20

Step-by-step explanation:

the left part of the triangle can be solved first as it already has one angle and 1 side, we use trigonometry for this.

since we have 2 sides and 1 angle, to find the third side length we use the pythagoras theorem. a² + b² = c²

; 9² + 12² = c²

; 225 = c²

;√225 = c

; 15 = c

since we have all the lengths of the triangle, we can find out the angle opposite to the side length '9',

; [tex]\frac{Sin x}{9} = \frac{sin90}{15}[/tex]

; [tex]\frac{Sin 90}{15}[/tex] x 9 = Sinx

36.86 = x

now, we look at the triangle as a whole, the top angle being 90 degrees, we know that we have 36.86.

; 90 - 36.86 = 53.13

[tex]\frac{y}{Sin 90} = \frac{12}{Sin 36.86}[/tex]

; [tex]\frac{12}{sin 36.86}[/tex] x Sin 90 = 20

y = 20

again, since we have 2 sides of a right angled triangle we use a² + b² = c²

we arrange this formula since we have the hypotenuse

; 20² - 12² = 256

; √256 = x

; 16  = x

Answer:

Step-by-step explanation:

In order for a company to break even, it earns no profit but it also incurs no loss. In other words, set the quadratic equal to 0 and factor to find x.

If you factor this using the quadratic formula you will get that the number of cars sold for the company to neither earn nor lose money is 1 or 21. Right in the middle is where we will find the maximum value (the vertex). This max value will give us the number of cars sold, h, and its corresponding value, k.

To solve for h easily, use the formula

[tex]h=-\frac{b}{2a}[/tex] where a and b are the coefficients found in the standard form of a polynomial [tex]ax^2+bx+c[/tex]:

[tex]h=-\frac{44}{2(-2)}=11[/tex] and for k, use:

[tex]k=c-\frac{b^2}{4a}[/tex]:

[tex]k=-42-\frac{44^2}{4(-2)}=200[/tex]

This means our vertex is (11, 200) and in the context of our problem, we know that when the company sells 11,000 cars it makes a max profit of 200 million dollars.

Answer:

They are parallel but not the same

Step-by-step explanation:

because they have same slope or gradient which is 2

Answer:

Step-by-step explanation:

the answer  " I need  because"  isn't even correct.. :P  

it should be  "  I need    one more side of each triangle ,  because then I can use the side angle side rule to say the triangles are the same. "

Answer:

42.92

Step-by-step explanation:

Answer:

-g^8

Step-by-step explanation:

it would still remain the same as it is shown because the "g" is negative and the "8", the exponent, is positive

Answer:

Im fairly sure the equation is D, a+5=11

Step-by-step explanation:

Kate has gone up 11 times and 5 more times than Andre, so 11-5 HAS to be the amount of times Andre has gone up.

If we reorganise this equation then we get a+5=11

Answer:

0

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Its 1 because the square root of anything is that number having the ability to be multiplied by the same number. And that is going to be a positive number.

Answer:

[tex]-6x^5+8x^4-14x^3[/tex]

Step-by-step explanation:

[tex]-2x^3(3x^2-4x+7)[/tex]   Use distributive property

[tex]-2x^3[/tex] · [tex]3x^2[/tex] = [tex]-6x^5[/tex]      

[tex]-2x^3[/tex] · [tex]-4x[/tex] = [tex]8x^4[/tex]       Product becomes positive because of two negatives

[tex]-2x^3[/tex] · [tex]7[/tex] = [tex]-14x^3[/tex]

Group all of those numbers together (in order)

[tex]-6x^5+8x^4-14x^3[/tex]

Answer:

The area of a circle.

Step-by-step explanation:

Can I get brainiest please

Answer:

(4,-1), (2,-5), and (5,-5).

Step-by-step explanation:

There is a formula for rotating points about the origin counterclockwise; r90°(x,y) = (-y,x)

I never heard of a clockwise one before.

Maybe you can use this to help you find the formula for the clockwise rotation.

Answer:

[tex]x = 7[/tex] --- toppings

[tex]y = 27[/tex] ---- amount

Step-by-step explanation:

Given

[tex]y \to\ amount[/tex]

[tex]x \to\ topping[/tex]

The first deal is:

[tex]y = 6 + 3x[/tex]

The second is:

[tex]y = 20 + x[/tex]

Required

The value of  x and y [for which both deals are equal]

We have:

[tex]y = 6 + 3x[/tex]

[tex]y = 20 + x[/tex]

Equate both

[tex]y=y[/tex]

So, we have:

[tex]6 + 3x = 20 + x[/tex]

Collect like terms

[tex]3x - x = 20 - 6[/tex]

[tex]2x =14[/tex]

Divide by 2

[tex]x = 7[/tex]

Substitute [tex]x = 7[/tex] in [tex]y = 20 + x[/tex]

[tex]y = 20 + 7[/tex]

[tex]y = 27[/tex]

Answer:

Each hat is $15.75

Step-by-step explanation:

When you take $47.25 since there is three hats you divide by 3, so you get 15.75.

Answer:

8 2/3

Step-by-step explanation:

26/3

CONVERT TO A MIXED FRACTION

8 2/3

Answer:

Step-by-step explanation:

3[tex]\frac{1}{4}[/tex] ÷[tex]\frac{3}{8}[/tex]

4*3+1/4 * 8/3

13/4*8/3

13*8/4*3

104/12

26/3

not :when u change division sign into multiplication then do the reciprocal .

Answer:

0.66304

Step-by-step explanation:

probability ( p ) = 0.4

number of games played ( n )  = 5

Find the Probability of winning at least 2 games

P( wining ) = 0.4.

P ( losing ) ( q )  = 1 - 0.4 = 0.6

x = 2 , 3 , 4 , 5

P ( at least 2 out of 5 ) = p( k=2) + p(k=3) + p(k=4) + p(k5 )

                                    =  0.3456 + 0.2304 + 0.0768 + 0.01024

                                    = 0.66304 ( using binomial distribution calculator )

Answer:

[tex]\%Pr =71.43 \%[/tex]

Step-by-step explanation:

Given

[tex]S = \{8, 7, 3, 8, 14, 15, 20\}[/tex]

[tex]n(S) = 7[/tex]

Required

Percentage of values between Q1 and Q3

We have:

[tex]S = \{8, 7, 3, 8, 14, 15, 20\}[/tex]

Sort

[tex]Sorted = \{3, 7, 8, 8, 14, 15, 20\}[/tex]

Q1 is calculated as:

[tex]Q_1 = \frac{n+1}{4}th[/tex]

[tex]Q_1 = \frac{7+1}{4}th[/tex]

[tex]Q_1 = \frac{8}{4}th[/tex]

[tex]Q_1 = 2nd[/tex]

The second element is: 7; So:

[tex]Q_1 = 7[/tex]

Q3 is calculated as:

[tex]Q_3 = 3*\frac{n+1}{4}th[/tex]

[tex]Q_3 = 3*\frac{7+1}{4}th[/tex]

[tex]Q_3 = 3*\frac{8}{4}th[/tex]

[tex]Q_3 = 3*2th[/tex]

[tex]Q_3 = 6th[/tex]

The sixth element is: 15; So:

[tex]Q_3 = 15[/tex]

From the sorted dataset, the data between Q1 and Q3 is:

[tex]Q_3&Q_1 = \{7, 8, 8, 14, 15\}[/tex]

[tex]n(Q_3&Q_1) = 5[/tex]

The percentage is:

[tex]\%Pr =\frac{n(Q_3&Q_1)}{n(S)} * 100\%[/tex]

[tex]\%Pr =\frac{5}{7} * 100\%[/tex]

[tex]\%Pr =\frac{5* 100}{7} \%[/tex]

[tex]\%Pr =\frac{500}{7} \%[/tex]

[tex]\%Pr =71.43 \%[/tex]

[tex]\huge{ \mathfrak{  \underline{ Answer }\:  \:  ✓ }}[/tex]

Angles forming linear pair are :

[tex] \mathrm{\angle EFG \: \: and \: \: \angle GFH} [/tex]

And we know, they are supplymentary

So, the measures of the given angles are :

And

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Eric should put 7 lures in each section.

28/4=7

Answer:

AB = Secant

DB = Diameter

AB = Chord

OB = Radius

BC = Tangent

Step-by-step explanation:

The image provided below is a great reference!

Note: The answers are put in order.

Answer:

x = 20

Step-by-step explanation:

x + 4= 24

Subtract 4 rom both sides

x = 20

Answer:

Your answer is

x=20

Step-by-step explanation:

x=24 -4

Answer:

798.82

Step-by-step explanation:

round 798.824

Volume is a three-dimensional scalar quantity. The volume of the softball is 61.6 cubic inches.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given that the diameter of the softball is 4.9 inches. Since the radius is half the diameter, therefore, the radius of the softball can be written as,

Radius = Diameter

           = 4.9 inches / 2

           = 2.45 inches

Now, the volume of the softball can be written as,

Volume of the softball = (4/3) × π × r³

                                  = (4/3) × π × (2.45 inches)³

                                  = 61.6 inches³

Hence, the volume of the softball is 61.6 cubic inches.

Learn more about Volume:

https://brainly.com/question/13338592

#SPJ5

Answer:

A) 5/9 times 4/3 = 20/27

B) 2/4 times 5 = 10/20

Step-by-step explanation:

Answer:

6ft

Step-by-step explanation:

This requires a little use of the Pythagorean Theorem.

The length of the leaning ladder is the hypothenuse of the right triangle formed by the wall and the ladder.

Hyp. = 10 ft Say this is C

The ladder height up the wall = 8 ft. Say this A.

We need to find the other leg, say B ,of the right triangle.

C^2 = A^2 + B^2

10^2 = 8^2 + B^2

100 = 64 + B^2 => B^2 = 100 - 64 = 36

B^2 = 36 so, B = 6 The positive square root since length is positive.

B = 6 ft This is how far the ladder bottom is from the wall.

Double Check: 10^2 = 8^2 + 6^2 or 100 = 64 + 36 Ok. As, it should. This check could be done mentally.

In addition, this is a Pythagorean Triple. (6, 8, 10).

Answer: 6 ft.

COPIED:)

Answer:

e?..............................

Answer:

Step-by-step explanation:

It’s made up of the 1 dollar coin , .50 cents coin, .25 cents coin, and the .10 cents coin. If you multiply each by 25 you get the exact value , so these coins make it up but there is exactly 25 of each

Answer:

21

Step-by-step explanation:

24 - 18 = 6

6/2 = 3

18 + 3 = 21

Answer: 21

Step-by-step explanation:

18, 19, 20, 21, 22, 23, 24

1     2    3         3     2    1

21 is in the middle