In a​ survey, 400 people were asked to choose one card out of five cards labeled 1 to 5. The results are shown in the table. Compare the theoretical probability and experimental probability of choosing a card with the number 2.

Cards Chosen
Number
1
2
3
4
5
The theoretical probability of choosing a card with the number is
nothing​%. The experimental probability of choosing a card with the number is
nothing​%. The theoretical probability is
the experimental probability.
​(Type integers or​ decimals.)

Answer:

86.21

Step-by-step explanation:

simple math you just add it all up then figure the percentage of 75 out of 87

Answer:

20%

Step-by-step explanation:

21/ 105

= 0.2 x 100

20%

Answer:

Y is an Exponent, and 6 is an integer

Step-by-step explanation:

Answer:

The options are not given, so I will answer in a general way:

A quadratic equation can be written, in general form, as:

y = a*x^2 + b*x + c

Then if we want this, we need to replace:

a = 1

b = -3

c = -5

Then the equation that we want is:

y = x^2 - 3*x - 5

Is likely that the options are in the factorized way to write a quadratic equation (so it is kinda harder to you)

Such that the factorized way is written as:

y = (x - k)*(x - h)

where k and h are the roots of the quadratic equation.

So you just need to expand that expression and find the one that looks like:

y = x^2 - 3*x - 5

Just to be complete, let's find the factorized form of this particular quadratic equation.

The roots are given by:

0 = x^2 - 3*x - 5

And the two solutions are given by Bhaskara's formula:

[tex]x = \frac{-(-3) \pm \sqrt{(-3)^2 - 4*1*(-5)} }{2*1} = \frac{3 \pm 5.39}{2}[/tex]

The two roots are:

h = (3 + 5.39)/2 = 4.195

k = (3 - 5.39)/2 = -1.195

Then the factorized form is:

y = (x - 4.195)*(x + 1.195)

Answer:

The answer is C.

Step-by-step explanation:

Had this on a quiz.

Answer:

true negative ×negative =positive

Answer:

True

Step-by-step explanation:

n= negative

p= positive

n*n=p

p*p=p

n*p=n

Answer:

Hello! answer: 45 and 45 is a complementary angle and 60 and 30 is a complementary angle

Step-by-step explanation:

Complementary angles are just angles that add up to 90 degrees so... 45 + 45 = 90 60 + 30 = 90 so that is how those are complementary angles.

Hope that helps!

Answer:

angle QRT/angle VRT  and angle SRW/angle WRV

Step-by-step explanation:

QRT and VRT: Both angles are 45 degrees, adding those degrees together gets you 90 degree angles meaning that they are complementary.

SRW and WRV: 60 plus 30 is equal to 90 making them complementary angles as right angles are 90 degrees

jjjkkkmbjkjnnnjjj

Step-by-step explanation:

iiiiooi

Answer:You can do this two ways:  Either use the slope intercept form

y = mx + b   with slope m=-2 so y = -2x +b

From that use x=5, y = -3 to solve for b

-3 = -2(5) + b

-3 = -10 + b

10-3 = b

7 = b

Your equation is:  y = -2x + 7

OR

Use the point slope formula:  y - y1 = m(x-x1)

with m = -2,  (x1, y1) = (5,-3)

y-(-3) = -2(x-5)

y + 3 = -2x + 10

y = -2x + 10 - 3

y = -2x + 7

Step-by-step explanation:

Answer:

[tex] x = \boxed{2}\: and\: x = \boxed{ \frac{5}{2} } [/tex]

Step-by-step explanation:

[tex]2 {x}^{2} - 9x + 10 = 0 \\ \\ 2 {x}^{2} - 4x - 5x + 10 = 0 \\ \\ 2x(x - 2) - 5(x - 2) = 0 \\ \\ (x - 2)(2x - 5) = 0 \\ \\ x - 2 = 0 \: \: 2x - 5 = 0 \\ \\ x = \boxed{2} \: and \: x = \boxed{ \frac{5}{2} } \\ \\ [/tex]

Answer:

2

Step-by-step explanation:

.....................

Answer: 17

Step-by-step explanation:

Answer:

B) 17

Step-by-step explanation:

Prime numbers are numbers that are not products of two smaller natural numbers. Everything except 17 is not prime cuz they can be derived from multiplying other numbers but 17 cannot be.

Using the order of the letters in the triangles find the corresponding sides:

BL is similar to JF

LT is similar to KF

BT is similar to JK

Find the scale between LT and KF

9/12 = 3/4

The smaller triangle is 3/4 the size of the lager one.

This means BT = 3/4(JK) = 3/4(4) = 3

So x = 3, so side BL = 2x = 2(3) = 6

Now to solve for y:

BL is 3/4(JF)

6 = 3/4(y)

Solve for y by dividing both sides by 3/4

Y = 6/(3/4)

Y = 8

X = 3, y = 8

Answer:

y=4x/3+17

Step-by-step explanation:

4/3=y-5/x+9

y=4x/3+17

The equation in point-slope form for this line is -

(y - 5) = (4/3)(x + 9)

The general equation of a straight line is -

y = mx + c

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

We have a line that passes through the point (-9,5) and has a slope of

4/3.

The point slope form is given by -

(y - y₁) = m(x - x₁)    

Now, we can write the equation as -

(y - 5) = (4/3)(x + 9)

Therefore, the equation in point-slope form for this line is -

(y - 5) = (4/3)(x + 9)

To solve more questions on straight lines, visit the link below-

brainly.com/question/20400984

#SPJ2

Answer:

Negative

Step-by-step explanation:

If it is tilted in that sort of way it is negative, vice versa if it was titled the other way then it would be positive.

If it were to be un-defined/infinite then it would be parallel to the y axis

If it were to be 0 then a line would be parallel to the x axis.

Answer:

A negative

Step-by-step explanation:

Step-by-step explanation:

a) Let y = f(x) = 3x - 2x^2

f(-2) = 3(-2) - 2(-2)^2 = p

= -6 - 8

= -14

= p

f(2.5) = 3(2.5) - 2(2.5)^2 = q

= 7.5 - 12.5

= -5

= q

b) graphing

c) From the graph, you should be able to verify the following:

i) f(0.5) = 3(0.5) - 2(0.5)^2 = 1

ii) 0.5 = 3x - 2x^2 or x = 1.3, 0.2

iii) the maximum occurs at

f(0.75) = 1.125

d) the equation for the line of symmetry is x = 0.75

Answer:

ummmmmm....post the pic at least

Answer:

$0.42

Step-by-step explanation:

Given data

Dimension

Length=4m

Width=2m

Cost=  $1.75

Area= 4*2= 8m^2

Cost per area=1.75/8

Cost per area=$0.21 per m^2

The new poster's dimension

Lenght =2m

Width= 1m

Area= 2*1= 2m^2

Hence if a square meter cost $0.21

Then 2 square meter  will cost x

cross multiply

2*0.21=x

x=$0.42

Hence the new poster will cost $0.42

Answer:

The median is 19.45

Step-by-step explanation:

Organize the numbers from least to greatest

16.3, 17.8, 17.8, 18.0, 18.7, 19.3, 19.6, 20.1, 20.5, 21.9, 25.2, 25.4

Find the middle of the set of numbers

19.3 and 19.6

Add 9.3 and 19.6

19.3 + 19.6=

38.9

Divide by 2

38.9/2

Which is 19.45

Hope this helps

Answer:

Let x=number of $0.25 increases, so the equation for revenue=price*number of tickets or people) becomes

Revenue=($3.00+$0.25x)(400-20x)

where ($3.00+$0.25x) :increase in price

and

(400-10x) : decrease in number of people

Expanding Revenue

Revenue[R]=1200-60x+100x-5x²:1200+40x-5x²

Taking the derivative of R and set it equal to 0:

R'=0+40-10x=40-10x

we have

R'=0

40-10x=0

x=40/10

x=4

So the ticket price is $3.00+$0.25*4=$4

The number of people will attend is 400-20*4=$320

At $320 ticket price will the revenue be maximized.

Step-by-step explanation:

A $320 ticket price will the revenue be maximized

Answer:

57709

Step-by-step explanation:

Answer: B. False

Step-by-step explanation:

A polygon is a closed figure whose sides are all line segments. A Polygon cannot have curved sides. And Quadrilaterals have four sides closed . all quadrilaterals are polygon but all polygons are not quadrilateral.

Answer:

y=2x+1

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

Rearrange 2x+3y=15 by subtracting 2x by both sides. Dividing 3y by both sides.

1⇒[tex]2x-2x+3y=15-2x[/tex]

2⇒[tex]\frac{3y=15-2x}{3y}[/tex]

[tex]y=5-\frac{2}{3} x[/tex]

We know this slope is negative. Meaning for the perpendicular crossing to work, it must have a positive slope. We know that 3=(1*M)+B. Perpendicular lines will have slopes that are negative reciprocals of one another.

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

We know the slope must be between 1 and 3. We know the base must be between 1 and 3.

Using the slope formula y-y/x-x

[tex]\frac{5-3}{0-1} \\ m=2[/tex]

Answer:

<U = 30

Step-by-step explanation:

Since the triangles are similar

<F = <T

<G = <U

< H = <V

We are told that <G = 30 so < U = 30

Answer:

30°

Step-by-step explanation:

∠G corresponds to ∠U

if ∠G is 30° then so is ∠U

Answer:

10 ft

Step-by-step explanation:

The length of the slide can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

6² + 8² =

36 + 64 = 100

c = √100

c = 10

Answer:

3.67 + p

Step-by-step explanation:

Jackson

7.85 + 5p

Tim

4.15 + 4p

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

How much more jackson spent

(7.82 + 5p) - (4.15 + 4p)

Group like terms

(7.82 - 4.15) + (5p - 4p)

Simplify

3.67 + p

Answer:

y = 2/3x + 3 2/3

Step-by-step explanation:

slope intercept form: y = mx + b

isolate the y => y = 2/3(x - 2) + 5 => y = 2/3x - 4/3 + 5 => y = 2/3x + 3 2/3