has a bag containing twenty balls. There are twice as many yellow balls than blue balls, but the yellow balls are only a third of the red balls. The green balls are the same number as the blue balls. How many are each of the colour ball?

Answer:

  it saves 2.5 minutes

Step-by-step explanation:

The expected value of a random variable is the sum of products of possibilities and the probability of each.

Here, you have a probability of 0.9 of saving 5 minutes, and a probability of 0.1 of adding 20 minutes.

__

The expected value of the shortcut is ...

  0.9(-5) +0.1(20) = -4.5 +2.0 = -2.5

The shortcut is expected to save 2.5 minutes on average.

_____

Additional comment

The probability of 0.9 comes from the 9 of 10 trips that result in a time saving.

The missing equivalent forms are: a = 10%,  b = 25/100 and c = 1/2

Unit Fraction   Fraction with 100 in denominator      Percent

1/10                              10/100                                             a

1/4                                  b                                                  25%

c                                  50/100                                           50%

Complete the table by finding the missing equivalent form for each row.

From the above table, we have the following equations

a = 10/100

b = 25%

c = 50/100

The variable a must be in percentage.

So, we have:

a = 10/100

Express as percentage

a = 10%

The variable b must be a fraction with 100 in denominator

So, we have:

b = 25%

Express as fraction

b = 25/100

The variable b must be a unit fraction

So, we have:

c = 50/100

Divide the fraction by 50/50

c = 1/2

Hence, the missing equivalent forms are:

a = 10%,  b = 25/100 and c = 1/2

Read more about fraction and percentage at:

https://brainly.com/question/7244254

#SPJ1

Answer:

128 degrees

Step-by-step explanation:

B = D

B = 128

Therefore, D = 128

This shape has these characteristics:

 ⇒ there are two sets of parallel sides

      ⇒ This shape is a parallelogram

Since this shape is a parallelogram:

  ⇒ meaning that angles opposite to each other

       ⇒ equal in measure

Since ∠B and ∠D are opposite each other

  ⇒ ∠D = 125°

Answer: ∠D = 125°

Hope that helps!

Answer:

(-2, 0)

Step-by-step explanation:

The solution to the system is the point where the graphs intersect.

Answer:

I solved 26 problems correctly.

Answer:

Yes, No, No

Step-by-step explanation:

The function of an exponential graph is attached below. The first graph fits the look of an exponential graph. The rest do not.

Answer:

Yes, No, No

Step-by-step explanation:

The  values of x and y would make the following expression represent a real number is 4 and -5 respectively

The standard form of writing a complex number is given asl

z= x + iy

where

x is the real part

y is the imaginary part

Given the expression below;

(4 +5i)(x + yi)

Expand

4x + 4yi + 5ix + 5y(-1)

4x + 4yi + 5ix - 5y

Hence the  values of x and y would make the following expression represent a real number is 4 and -5 respectively

Learn more on complex number here: https://brainly.com/question/10662770

#SPJ1

Answer:

93.18 feet

Step-by-step explanation:

Length of backyard pool = 31.74 feet

Height of backyard pool = 14.85 feet

To find = Use the formula for the perimeter of a rectangular pool.

= 2 ( length + height )

Length of fencing bought by Mirele:

2 ( 31.74 + 14.85 ) = 2 ( 46.59 ) = 93.18 feet

Answer:

n(-9+ n) =0

Step-by-step explanation:

-9n+n^2=0   Kind of use 'reverse distributive' property

n (-9 + n) = 0

Answer:

F(v)=0

Step-by-step explanation:

F(v) = [3x*2y, 5xx, 9yy]

Calculate the product

F(v) =[tex]\frac{d}{dv\\}[/tex] [3x*2y, 5x*x, 9y*y]

The derivative of a constant is always 0

F(v) =[tex]\frac{d}{dv\\}[/tex]((6xy,5[tex]x^{2}[/tex],9[tex]y^{2}[/tex]))

f(v)=0

Answer:

amount of coloured fabric in mm = 48

amount of white fabric in mm = 12

ratio = white fabric : coloured fabric = 12 : 48 = 1:4

Answer:

[tex]f(x) = \frac{\sqrt{x+2}} 9[/tex]

Step-by-step explanation:

You work in the order you have: you start with your number x, so your first step will be [tex]f_0(x)=x[/tex]. then you add 2: [tex]f_1(x) =x+2[/tex]. Then you take the square root of what you have in the previous step: [tex]f_2(x) = \sqrt {x+2}[/tex]. Finally, you divide by 9: [tex]f(x) = \frac{\sqrt{x+2}} 9[/tex]

Answer:

area:3116  perimeter:240

Step-by-step explanation:

Hii!

__________________________________________________________

[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Answer:}\circ\leftharpoonup}}[/tex]

Pelet'rimeter =

Area = 3116 cm^2

[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation:}\circ\leftharpoonup}}[/tex]

[tex]\bullet[/tex] Let's work out the perimeter

[tex]\twoheadrightarrow\sf P=2(a+b)[/tex]. a=length & b=width

[tex]\bullet[/tex] Stick in the values

[tex]\twoheadrightarrow\sf P=2(82+38)[/tex]

[tex]\bullet[/tex] Perform the addition operation

[tex]\twoheadrightarrow\sf P=2\cdot120[/tex]

[tex]\bullet[/tex] Multiply and obtain the perimeter

[tex]\twoheadrightarrow\sf P=240cm[/tex]

[tex]\bullet[/tex] Now let's find the area

[tex]\twoheadrightarrow\sf A=lw[/tex] l=length w=width

[tex]\bullet[/tex] Stick in the values

[tex]\twoheadrightarrow\sf A=82\cdot38[/tex]

[tex]\bullet[/tex] Multiply and obtain the area

[tex]\twoheadrightarrow\sf A=3116cm^2[/tex]

--

Hope that this helped! Best wishes.

[tex]\stackrel\star{\textsl{Reach far. Aim high. Dream big.}}[/tex]

--

The justification for whether Skyler, Robert, or Kaitlyn was right or wrong stems from how they went about their processes:

1) SKYLER'S PROCESS:

Skyler wants to resolve the following issue;

Reduce 729 to the lowest base possible as a first step; [3^(6)]^x = 9

729^(x) = 9

The next thing she did was convert 6x to 9.

Since both sides must have the same base when dealing with exponent equality, she may have transformed 9 to have the same base of 3 as the left hand side before equating the exponents.

So Skyler is wrong.

2) ROBERT'S PROCESS:

Skyler failed to capture both bases equally, as we witnessed, but Robert has now made the right decision by;

9^(3x) = 9¹

After which he equated the exponents to get;

3x = 1

x = 1/3

Thus; Robert is correct

3) KAITLYN'S PROCESS:

Kaitlyn is also accurate since she adhered to the same method, which calls for comparing bases before comparing exponents.

Learn more about laws of exponents here:

brainly.com/question/11761858

#SPJ10

Answer:

80 students are female

Step-by-step explanation:

21 are male meaning 19 are female

9 are female in French

12 are female in Spanish

total = 40

2x + 40 = 120

2x = 80

x = 40

females'  = 80

total = 80

Answer:

B AND E

Step-by-step explanation:

hope that helpsndbwbe

Answer:

Step-by-step explanation:

Answer:

1/2 - 1/3,

1 - 1/2,

1/4 + 1/2

Step-by-step explanation:

1/4 + 1/2 = 1/4 + 2/4 = 3/4

1/2 - 1/3 = 3/6 - 2/6 = 1/6

1 - 1/2 = 2/2 - 1/2 = 1/2

Hence, the desired order is

1/2 - 1/3,

1 - 1/2,

1/4 + 1/2

Answer:

$25

Step-by-step explanation:

3.75 is 15% of 25.

15% × 25 = 3.75

Answer:

Step-by-step explanation:

B=CD-A

Answer:

7x+y

7(7)+1

49+1

50

Step-by-step explanation:

please mark me as brainlest

Answer:

7x + y

x=7 y=1

7(7) + 1

49 + 1

= 50

A die is tossed twice and a number of dots facing up in each toss are counted and noted in the order of occurrence.

a) The sample space is given as:

Sample Space (S)= {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5),(2,6),(3,1),(3,2),(3,3)(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1)(5,2)(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),c),(6,6)}.

A sample space is a collection of a set of possible outcomes of a random experiment. The sample space is represented using the symbol S.

b) the set corresponding to the event number of dots in the first toss is not less than the number of dots in the second toss.

{(6,6),(6,5)(6,3)(6,2)(6,1)(6,4),(5,1)(5,2)(5,3),(5,4),(5,5),(4,1),(4,2),(4,3),(4,4),(3,1),(3,2), (2,1), (2,2),(1,1)}

c) find the set b corresponding to the event number of dots in the first toss is 6.

{(6,1),(6,2),(6,3),(6,4),c),(6,6)}.

e) a does not imply b or does b imply a.

To learn more sample spaces visit:

https://brainly.com/question/10558496

#SPJ1

The height of the pole is 6.50 meters

To calculate the height of the pole, we will use of the following equivalent ratios.

By Pythagoras theorem, we have:

[tex]x ^2 = 2^2 + 3^2\\\\x ^2 = 4 + 9\\\\x = \sqrt{13}[/tex]

So, we have:

[tex]h = \dfrac{\sqrt{13}^2 }{2} \\\\h = \dfrac{13}{2}\\\\h = 6.5[/tex]

Hence, the height of the pole is 6.50 meters

Read more about Pythagoras' theorem at:

brainly.com/question/654982

#SPJ1

Answer:

36 hours

Step-by-step explanation:

To find the percentage of a number, change the percent to decimal form

20 percent = .20

Multiply this by the number

.20 * 180

36

20 percent of 180 = 36

Answer:

B) the probability that is traveling more than 63 mph is 0.6293 (or 62.93%)

Step-by-step explanation:

Given:

Finding the Probability:

If one car is randomly chosen, we want the probability that is traveling more than 63 mph is,

P(X > 63)

To find the value of z,

z = x - μ / σ

z = 63 - 65 / 6

z = -2 / 6

z = -1 / 3 which is approximately -0.33

Using Z table (attached below):

to find this on the table

The area under the curve is 0.3707

P(z > 63) = 1 - P(z < 63)

               = 1 - 0.3707

               = 0.6293

Hence the probability that is traveling more than 63 mph is 0.6293

Learn more Probability from a similar example: https://brainly.com/question/15565069

5 rational number between -47 and 12 are {-46, -45, -44, -43, -42}

Remember that any integer is also a rational number.

So, if we want to find 5 rational numbers between -47 and 12, we can just find 5 integers between these two numbers.

To do that, we can just add 1 to the lowest bound, we will et:

-47 + 1 = -46

-45 + 1 = -45

-44 + 1 = -44

-43 + 1= -43

-43 + 1 = -42

So 5 rational number between -47 and 12 are {-46, -45, -44, -43, -42}

If you want to learn more about rational numbers:

https://brainly.com/question/12088221

#SPJ1

Answer:

28.125

Step-by-step explanation:

22.5×1.25=28.125

Answer:

28 1/8

Step-by-step explanation:

1.25 x 22.5 = 28.125

The solution to the given linear equation is x=1

Linear equations are equations that has a leading degree of 1.

Given the linear equation as shown below;

8x - 5= 2x + 1

Subtract 2x from both sides

8x - 2x - 5 = 2x + 1-2x

6x - 5  = 1

Add 5 to both sides

6x - 5 + 5 = 5 + 1

6x  = 6

Divide both sides by 6

6x/6 = 6/6

x = 1

Hence the solution to the given linear equation is x=1

learn more on linear equation here: https://brainly.com/question/14323743

#SPJ1

Here, the surface area, in square units, of the triangular prism is 152 units².

We know that the area of any triangle can be calculated as

Area = 1/2 * base * height

The area of any rectangular figure can be calculated as

Area = length * width

Here, the length of the rectangular portion of the prism is 8 units.

The width of the lowermost rectangle is 5 units.

The area of the uppermost rectangle = the area of the lowermost rectangle = 8 * 5 units² = 40 units²

Again the width of the middle rectangle is 6 units.

So, the area of the middle rectangle = 6 * 8 units² = 48 units²

Now, the height and base of the triangles are 4 and 6 respectively.

So, the area of the left-hand side triangle = the area of the right-hand side triangle = 2 * (1/2) * 4 * (6/2) units² = 1 * 4 * 3 units² = 12 units²

Then the area of the triangular prism = area of rectangular portion + area of triangular portion = (2 * 40 + 48) + (2 * 12) units² = (80 + 48) + 24 units² = 128 + 24 units² = 152 units²

Therefore the surface area, in square units, of the triangular prism is 152 units². So, Option C is correct.

Learn more about the area here -

https://brainly.com/question/3867236

#SPJ10