A spinner with the colors orange, yellow, purple, and green is spun. What is the theoretical probability, as a decimal, of stopping on the color purple? Round the decimal to the nearest hundredth.
P(purple)

Answer:

\(\sqrt[3]{3}\)

Step-by-step explanation:

We are required to simplify the quotient: \(\dfrac{\sqrt[3]{60} }{\sqrt[3]{20}}\)

Since the numerator and denominator both have the same root index, we can therefore say:

\(\dfrac{\sqrt[3]{60} }{\sqrt[3]{20}} =\sqrt[3]{\dfrac{60} {20}}\)

\(=\sqrt[3]{3}\)

The simplified form of the given quotient is \(\sqrt[3]{3}\).

The quotient of an expression is gotten by dividing the expression by another algebraic expression

The result of the given quotient is \(\sqrt[3]{3}\)

The expression is given as:

\(\frac{\sqrt[3]{60}}{\sqrt[3]{20}}\)

Rewrite the above expression as follows:

\(\frac{\sqrt[3]{60}}{\sqrt[3]{20}} = \sqrt[3]{\frac{60}{20}}\)

Divide 60 by 20

\(\frac{\sqrt[3]{60}}{\sqrt[3]{20}} = \sqrt[3]{3}\)

Hence, the result of the given quotient is \(\sqrt[3]{3}\)

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the conditional probability of being from London, given that someone is dissatisfied with their city, is approximately 0.452.

what is conditional probability ?

Conditional probability is the probability of an event A occurring, given that another event B has occurred. It is denoted as P(A | B), read as "the probability of A given B"

In the given question,

Based on the provided information, it seems like you have a table showing the number of satisfied and dissatisfied residents in three cities: Tokyo, London, and Washington D.C. You also have the total number of satisfied residents across all three cities.

The expression P(London|no) represents the conditional probability of someone being from London, given that they are dissatisfied with their city.

Using the formula you provided, we have:

P(London|no) = (P(no and London and don)) / (P(London and don))

where "no" represents being dissatisfied with the city and "don" represents being from the city of interest.

From the table, we see that:

P(no and London and don) = 112

P(London and don) = 248

Substituting these values into the formula, we get:

P(London|no) = 112 / (1000 * 248 / 644) ≈ 0.452

Therefore, the conditional probability of being from London, given that someone is dissatisfied with their city, is approximately 0.452.

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Answer:

Dilate circle A by a scale factor of 4. (c)

Step-by-step explanation:

HOPE THIS HELPS!!!

The steps will help show that circle A is similar to circle B is Dilate circle A by a scale factor of 4.

The correct option is (C).

Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.

Circle A has center of (0, 4) and a radius of 6

circle B has a center of (−3, 5) and a radius of 24.

The radius of circle A is 6 cm and radius of circle B is 24 cm, which 4 times the radius of circle A.

We know, Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller.

This transformation produces an image that is the same as the original shape.

Thus, Dilate circle A by a scale factor of 4.

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Answer:

15

Step-by-step explanation:

Supposing:

Coloured marbles = x

Glass marbles = y

According to Question

x = 3y

As,

x + y = 60

3y + y = 60 (putting value of x = 3y)

4y = 60

y = 60/4

y = 15

Hence, Leo has 15 Clear-glass marbles

Answer:

Step-by-step explanation:

Answer:

79

Step-by-step explanation:

The difference between 79 and 22 is 57. 79 is THE number. All you have to do is add 22 and 57 because the answer you get would ALWAYS have one of the numbers added as the difference.

The 5.5 percent commission on $37555 will give Mandy a value of $2065.525

It's important to note that commission is the amount that's given based on the sales made.

In this case, we want to calculate the commission based on the percentage. This will be:

= 5.5% × $37,555

= 0.055 × $37,555

= $2065.525

This shows the commission.

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Maddy works for base pay: $37,555 and commission: 5.5%. What is the. commission?

Maddy's total pay would be = $39,620.525

Commission values are the sum of money that is gotten from the total amount and the given commission rate.

The base pay received by Maddy at work = $37,555

The commission rate at work = 5.5%

His total pay after receiving after receiving his commission;

= ( 5.5/100 × 37, 555) + 37, 555.

= ( 206,552.5/100) + 37,555

= 2,065.525 + 37,555

= $39,620.525.

The amount of money that Maddy would receive at the end of work = $ 39,620.525.

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Graph the linear equation. 3x-4y= 24

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

Let x = 0, then y = -6

Let y = 0, then x = 8

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

Plot (0,-6) and (8,0) and draw a line thru them to get:

Answer:

70

Step-by-step explanation:

using the Pythagorean theorem we see that the side length is 29, meaning the perimeter is 70

Answer:

y=-2.5-5/4x and no it doesn't pass through (4,12)

Step-by-step explanation:

5x-4y=10

-5x     +5x

-4y=10+5x

/-4     /-4

y=-2.5-5/4x

Answer:

3/10

Hope it helps

Answer:

A

Step-by-step explanation:

4 is the maximum Y value reached by the function, therefore it is the only possible answer

The amount for each berry are 5.60 and 1.60 respectively.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =

Given that, Jeffrey wants to make jam. He needs a combination of raspberries and blackberries totaling six pounds. Blueberries cost $1.00 per pound, and raspberries cost $2.00 per pound. If Jeffrey can afford $11.60,

We will set a system of linear equations, to solve this,

Establishing the equation,

Let the amount of raspberries be x and that of blueberries be y,

x + y = 6

y = 6-x...(i)

2x + y = 11.60

y = 11.60 - 2x...(ii)

Equating eq(i) and eq(ii)

6-x = 11.60 -2x

x = 5.60

Put x = 5.60 in eq(i)

y = 6-5.60

y = 1.60

Hence, the amount for each berry are 5.60 and 1.60 respectively.

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Answer:

Step-by-step explanation:

Correct solution:

8x-4 + 2(2x+8) = 180

8x - 4 + 4x + 16 = 180

12x = 168

x = 14°

m∠AEC = 2x+8

= 2(14) + 8

= 36°

Answer: 73.3%

Step-by-step explanation:

take 44 and divide it by 60

44/60 = 0.0733 repeating

move the decimal place to the right twice

0.0733 --> 73.3%

Answer: 1. To add or subtract radicals, the indices and what is inside the radical (called the radicand) must be exactly the same. If the indices and radicands are the same, then add or subtract the terms in front of each like radical. If the indices or radicands are not the same, then you can not add or subtract the radicals.2.The index tells you how many of a kind you need to put together to be able to move that number or variable from inside the radical to outside the radical. For example, if the index is 2 (a square root), then you need two of a kind to move from inside the radical to outside the radical.3.When factoring a trinomial in the form x2 + bx + c, consider the following tips. Look at the c term first. o If the c term is a positive number, then the factors of c will both be positive or both be negative. In other words, r and s will have the same sign.

Step-by-step explanation:

Answer:

10y+6

Step-by-step explanation:

7y+3(2-y)+6y

7y+6-3y+6y

4y+6y+6

-> 10y+6 is the required equation.

Answer:

10y + 6.

Step-by-step explanation:

For this problem, we are asked to simplify 7y + 3(2-y) + 6y.

First, let's review the Distributive Property as it will be used for this equation.

The Distributive Property is a property that allows us to distribute, or multiply a number into values inside the parenthesis.

We should begin by distributing the 3 into values inside the parenthesis.

Distribute:

\(7y + 3(2-y) + 6y\\3 \times 2 = 6\\3 \times -y = -3y\)

Now, we should have:

\(7y + 6 - 3y + 6y\)

Next, we should combine like terms.

Combining like terms is adding 2 or more terms that are alike.

For example, 7y and 6y are like terms as they have numerical coefficients with the same variables.

Combine Like Terms:

\(7y + 6 - 3y + 6y\)

\(10y+6\)

Our final answer is 10y + 6.

Answer:

Step-by-step explanation:

We know that:

To find the perimeter, we need to use the equation "Perimeter of a rectangle = Sum of all its sides".

Solution:

Hence, the perimeter of the rectangle is 8x² + 8x - 2.

Answer:

Step-by-step explanation:

Answer:

If you draw the picture you see that your rectangle

will form a box 14 inches by 9 inches by 3 inches high

20 inches - 3 inches - 3 inches = 14 inches

15 inches - 3 inches - 3 inches = 9 inches

The height is formed by the dimensions of where

you cut out the 3 inch squares

The volume of a box is found by multiplying

length x width x height

The length is 14 inches

The width is 9 inches

The height is 3 inches

Step-by-step explanation:

here easy

Answer:

In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of a triangle to the sines of its angles

The Law of Sines (or Sine Rule) is very useful for solving triangles:

a/sin A=b/sin B=c/sin C

hope this helps

have a good day :)

Step-by-step explanation:

Answer:    b. 33

Step-by-step explanation:

The range is when you subtract the lowest value in the number set by the highest number in the number set. For this particular example, it would be 34-1= 33.

Hope this helps you!

These steps are often referred to as the principle of mathematical induction or PMI.

The steps for mathematical induction are:

Base Case: Show that the statement holds for some particular value of n, usually n = 1 or n = 0.

Inductive Hypothesis: Assume that the statement holds for some arbitrary value of n = k, where k is a positive integer.

Inductive Step: Using the inductive hypothesis, show that the statement also holds for n = k + 1.

Conclusion: By the principle of mathematical induction, the statement is true for all positive integers n.

These steps are often referred to as the principle of mathematical induction or PMI. They are used to prove statements that involve an infinite set of integers by showing that the statement holds for a base case, assuming that it holds for an arbitrary value, and then showing that it holds for the next integer in the set.

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Answer:

2^3

Step-by-step explanation:

you subtract the exponents if they have the same coefficient when dividing them.

9-6=3

Reading the story, that's just

2c + j - d = $9 + $9 + $70 - $8 = 88 - 8 = $80

Answer: $80

Answer:

$80

Step-by-step explanation:

$9+$9= $18

$18 + $70= $88

$88 - $8= $80

This answer provides number of instructions on how to create a new workbook using the Monthly Attendance Report template in Microsoft Excel.

1. Open Microsoft Excel.

2. Click the File tab at the top of the window.

3. Select “New” from the menu.

4. Select “Templates” from the list of options.

5. Type “Monthly Attendance Report” into the search box.

6. Select the Monthly Attendance Report template from the list of search results.

7. Click “Create” to create a new workbook using the template.

This answer provides number of instructions on how to create a new workbook using the Monthly Attendance Report template in Microsoft Excel.

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Answer:

sqrt(216) = 6×sqrt(6) ≈ 14.6969

Step-by-step explanation:

Pythagoras :

c² = a² + b²

with c being the Hypotenuse.

so, we have

15² = a² + 3²

225 = a² + 9

a² = 225 - 9 = 216

a = sqrt(216) = sqrt(4×54) = sqrt(4×9×6) = 2×3×sqrt(6) =

= 6×sqrt(6)

Answer:

The length of the other leg is 14.697

Step-by-step explanation:

a^2 +b^2= c^2

Answer:

6(x + 15)

Step-by-step explanation:

The answer is 6(x + 15). It states the product of 6, so that is multiplication. You are multiplying the six by the sum of x and 15. Sum means addition. So, your answer is 6(x + 15).

In the expression form, we can write the product of 6 and the sum of a number x and 15 as -

f(x) = 6x + 90

We have - the product of 6 and the sum of a number x and 15.

We have to write it in Algebraic expression form.

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.).

According to question, we have - the product of 6 and the sum of a number x and 15.

Sum of a number x and 15 can be written as = x + 15

The product of 6 and the sum of x and 15 can be written as = 6(x + 15) = 6x + 90.

In this expression -   x is a variable, 90 is a constant value and the algebraic operation used is addition.

Hence, the equation in the expression form is -  f(x) = 6x + 90

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Answer: I think it is 364.80