Suppose you have a bag of marbles. You know that there are 10 marbles in the bag,
but you do not know what colors they are. You select a marble 40 times, each time
recording its color before putting it back. In 8 out of 40 trials you select a purple
marble.
Based on the data, how many purple marbles do you estimate are in the bag? Explain
your prediction

1. 34c = 68

Divide both sides by 34

C = 68/34

C = 2

2. D - 1/2 = 3/4

Add 1/2 to both sides

D = 3/4 + 1/2

D = 1 1/4

3. E + 52.5 = 81

Subtract 52.5 from both sides

E =81-52.5

E = 28.5

4. 18 = f/0.3

Multiply both sides by 0.3

F = 18 x 0.3

F = 5.4

Answer:

R(x) = (4.50 – 0.50x)(700 + 100x)

___________________________

R(x) is in factored form

Where x is each decrease in the price.

____________________________

Explanation:

R(x) is in the form ax² + bx + c.

This is where the equation is distributed and simplified [Standard form]

The maximum revenue is represented by

R(-b/2a), where the vertex of this relationship is, at x = -b/2a.

Revenue = (Price)(Quantity)

____________________________

R(x) = (4.50 – 0.50x)(700 + 100x) →

-50x² + 100x + 3150 [ax² + bx + c].

x = -b/2a

x = -(100)/2(-50)

x = -100 / -100

x = 100 / 100

x = 1

Therefore R(1) or where the price is decreased by a factor of 1 is the maximum revenue.

R(2) = -50(1)² + 100(1) + 3150

R(2) = -50(1) + 100 + 3150

R(2) = -50 + 100 + 3150

R(2) = 3200.

_______________________________

Thus the best revenue ($3,200) is obtained by decreasing the price once (Price of 4$), with 800 cones.

Answer:

Students who watch television in the evenings tend not to have any homework is the association suggested by the two-way table.

Step-by-step explanation:

Of the students who watch television, 33% have homework, and 67% do not have homework.

So, students who watch television in the evening tend not to have homework.

Of the students who do not watch television, 75% have homework, and 25% do not have homework.

So, students who do not watch television in the evenings tend to have homework.

I just had the question on Study Island!

Answer:

Students who watch television in the evenings tend not to have any homework.

Step-by-step explanation:

Have a good day :)

Answer: 68%

Step-by-step explanation:

Empirical rule is basically using a bell curve along with mean and SD to find the center percentage. So take the mean right. 100 if you add 15 which is the SD you get 115 or 34.1% from 100 to 115. If you do the same thing but subtract this time 100-15=85 34.1% again from 85 to 100. So 85 to 115 is 34.1%+34.1%=68%

Answer:

Step-by-step explanation:

The point-slope form of the equation that describes the line with a slope of m that contains the point (x₀, y₀) is: y - y₀ = m(x - x₀)

m = - 3

(1, 2)  ⇒    x₀ = 1,  y₀ = 2

Therefore:

y - 2 = -3(x - 1)

Answer:

1. Semicircle

2. Arc Length

3. Minor arc

4. Arc Measure

5. Circumference

6. Diameter

7. Radius

Answer:

Conner's work is correct

Jana's work is incorrect

Step-by-step explanation:

Explanation: While Multiplying, exponents of the same bases gets added and not multiplied.

Here, CONNOR HAS ADDED THE EXPONENTS WHEREAS JANA HAS MULTIPLIED THE EXPONENTS.

Answer:

c.

Step-by-step explanation:

Please note that the angle A and B are somewhat close to 45deg, so we expect AC and BC to be close in length.

We can drop answer a on that basis.

We can also drop abswer d on the basis that AC is longer than AB there and that cannot be the case in a right triangle.

We can verify that for both b and c the Pythagoras theorem holds, so we need to choose the answer that fits the angles A and B. Te can check the tan of the angle to get the ratio between BC and AC.

tan(48.8deg) ~= 1.1423

1.6/1.4 ~= 1.1429; close enough.

So we choose answer c.

Answer:

341km2

Step-by-step explanation:

7km*25km=175km2

8km*(11km+6km)=136km2

5km*6km=30km2

175km2+136km2+30km2=341km2

Answer:

30 boxes

Step-by-step explanation:

if that is a 1/2,

then he needs half for each box

he has 15 feet's of ribbon

for every two boxes he needs 1 foot of ribbon

2×15=30

Note: This question needs practical measurements so I am going to use my clock at home. Otherwise, you can measure the clock at your house and work out.

the diameter of the clock= 30 cm

the radius of the clock= 15 cm

(a) the area of the clock is

[tex]\pi r^{2} = 3.14 \times 15^{2} = 706.5 \: cm^{2} [/tex]

(b) The length of the minute hand covered in one hour is equal to the circumference of the clock.

The circumference of the clock is

[tex]2\pi \times radius = 2 \times 3.14 \times 15 = 94.2 \: cm[/tex]

Answer:

5x+10y+5z

Step-by-step explanation:

Distributive Property means you multiply each component by the value you are distributing in this case: (1/2)(10x) + (1/2)(20y) + (1/2)(10z) which will yield 5x+10y+5z

Answer:

32

since 2^-2 is equal to 0.25, you divide 8 by 0.25 which is 32

Answer b=-2

Step-by-step explanation: Simplify  2^2 to 4 so 4−2b=8 then -2b=4 b=-4/2= b-2

Hope this helped :)

​  

Answer:

pretty sure it's 25° :))

Answer:

Let hardcover book be x

Let paperback book be y

2x+3y=$118....Equation 1

3x+2y=$137.... Equation 2

Solve for x and y using simultaneous equation

Using elimination method

2x+3y=118......×3

3x+2y=137......×2

6x+9y=354

6x+4y=274

9y-4y=80

5y=80

y=80÷5=16

substituting y=16 into equation 1

2x+3(16)=118

2x+48=118

2x=70

x=70÷2=35

Therefore hardcover costs $35 each

paperback cover costs $16 each

Answer:

a And b same number but different in sign. for example-5+5=0

Answer:

828 rs

Step- -step explanation:

pradeep sold the item for 60 rs less than the cost price

The cost price = amount lost + amount it was sold

60 + 660 = 720 rs

To determine the selling price that would yield a gain of 15%,

15/100 x 720 = 108

108 + 720 = 828 rs

Answer:

x = 1.25

Step-by-step explanation:

-3x+10 = 5x-8

+3x        +3x

10 = 8x - 8

+8           +8

18 = 8x

x = 18/8

x = 1 1/4 = 1.25  

Answer:

27

Step-by-step explanation:

The triangle shown is an isoceles triangle. This means that there are two congruent base angles and a vertex angle. In this case, angle X and angle Y are the base angles, so we can set up an equation to first find the value of t.

5t - 13 = 3t + 3

2t - 13 = 3              (Subtract 3t from both sides)

2t = 16                   (Add 13 to both sides)

t = 8                      (Divide both sides by 2)

Now that we have the value of t, we can plug it back in to the expression for angle X to find its measure.

5(8) - 13

40 - 13

27

So, the measure of angle X is 27

Answer:

9: 1,3,9

45: 1, 3, 5, 9, 15, and 45

Step-by-step explanation:

So the gcf is 9

Answer:

Step-by-step explanation:

The greatest common factor of two numbers x and y is the greatest number that divides x and y leaving the remainder as 0

We can find the GCF of 9 and 45 by the following methods.

GCF of 9 and 45 by Listing the Common Factors Method

GCF of 9 and 45 by Prime Factorization Method

Answer:

Step-by-step explanation:

Square is x meters on each side.

Area of square = x²

Width of rectangle = x+1

Length of rectangle = x+4

Area of rectangle = (x+1)(x+4) = x²+5x+4

Combined area = 2x²+5x+4 = 33

2x²+5x-29 = 0

x = [-5+√(5²-4(2)(-29))]/[2(2)] = [-5 +√257]/4

Answer:

4 ) reflexive property of congrunce

5 ) Definition of Equilateral Triangle

Step-by-step explanation:

4) the lines are equal to each other

5) if one triangle is equal to another triangle than they must be the same triangle

Answer:

x= [tex]\frac{1}{1028} y[/tex]+[tex]\frac{-339}{514}[/tex]

Step-by-step explanation:

let's solve for x.

y=23x(45)−7x+678

step 1: flip the equation.

1028x+678=y

step 2: add -678 to both sides.

1028x+678+−678=y+−678

1028x=y−678

step 3: divide both sides by 1028.

1028x/1028=y-678/1028

x=1/028 y+-339/514

answer- x= [tex]\frac{1}{1028} y[/tex]+[tex]\frac{-339}{514}[/tex]

good luck :)

have a great day !!

Answer:

B

Step-by-step explanation:

B

Answer:

Cone

Step-by-step explanation:

A cone's cross sections are either a circle or a triangle

Answer:

4(5x−4y+8)

Step-by-step explanation:

20x−16y+32

Factor out 4.

4(5x−4y+8)

Answer:

x=-2

Step-by-step explanation:

2x+1=(-3)

-1 on both sides

2x=-4

÷2 on both sides

x=-2

Hope this helps =]

Answer:

112.2857143 Or 112 with a remainder of 2

Step-by-step explanation:

 1 1 2

7 7 8 6

− 7    

 0 8  

−   7  

   1 6

 − 1 4

     2

Answer:

its a little blurry

Step-by-step explanation: