A baker makes 30 cupcakes. He makes 3 times as many cupcakes as his friend Sarah. How many cupcakes does Sarah make?​

The probability of rolling a die and getting a 2, then a 5, is 1/36.

To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.

First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.

Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.

To find the probability of both events happening, we multiply the probabilities:

Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.

Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.

It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.

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Answer:4$

Step-by-step explanation:

Answer:

Mean = 3.125 ≈ 3.13

Step-by-step explanation:

Mean = Sum of numbers =  1 + 2 + 3 + 4 + 2 + 6 + 3 + 4 = 25 = 3.125≈3.13

           Amount of number                     8                             8

Answer:

Step-by-step explanation:

The nominal return on an investment doesn’t consider the effect of inflation on purchasing power. If the inflation rate is positive, the real return will be less than the nominal return on an investment.

What is inflation?

In simple words continuing to rise in general price is regarded as inflation. There is a different kind of inflation, for example; The increase in price due to an increase in the aggregate of goods and services compared to aggregate supply is called demand-pull inflation.

If the inflation rate is positive, the actual return will be less than the nominal return on investment.

Therefore, In order to complete the statement, The nominal return on an investment doesn’t consider the effect of inflation on purchasing power. If the inflation rate is positive, the real return will be less than the nominal return on an investment.

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Answer:

The REAL RETURN on an investment considers the effect of inflation on purchasing power. If the inflation rate is positive, the nominal return will be

GREATER THAN the real return on an investment.

Step-by-step explanation:

y(1.3) is -1 and y(1.6) is -0.18 are the required values.

A differential equation is an equation that contains one or more functions with its derivatives.

We can use Euler's method with a step size of 0.3 to approximate the solution of the initial value problem y' = -2 + 4x - 2y, y(1) = -4 at x = 1.3 and x = 1.6.

First, we need to find the increment function:

h = 0.3

f(x,y) = -2 + 4x - 2y

Using Euler's method, the formula for the next approximation is:

y₁ = y₀ + hf(x₀, y₀)

Using this formula, we can approximate y(1.3) and y(1.6) as follows:

For x = 1.3:

x₀ = 1, y₀ = -4

f(1,-4) = -2 + 4(1) - 2(-4) = 10

y₁= -4 + 0.3(10) = -1

Therefore, y(1.3) = -1.

Now, For x = 1.6:

x₀ = 1.3,  y₀ = -1

f(1.3,-1) = -2 + 4(1.3) - 2(-1) = 8.6

y₁ = -1 + 0.3(8.6) = -0.18

Therefore, y(1.6) = -0.18.

Hence, the value of  y(1.3) is -1 and y(1.6) is -0.18.

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Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.

To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:  

Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²

Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.

Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.

Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.

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Answer:

$11.44

Step-by-step explanation:

Since half a pound of fudge costs $5.72, then you just have to multiply by 2

5.72 x 2 = 11.44

So one pound of fudge costs $11.44

Hope this helps :)

Answer:

I think it's $1.39 per ounce.

Step-by-step explanation:

Answer: I think it’s 2

Step-by-step explanation: because either of the sides are equal or the base and a side is not possible.

Aren’t you from CCA, Ryan Rivera, Maths 5th period.

Answer:

2

hope this helps

The required value of the x in the proportional relationship is 8.

Given that,
Variables y and x have a proportional relationship and y = 21 when x = 14. What is the value of x when y = 12 is to be determined.

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Here,
y = 21 when x = 14,
y = 12 when x = ?
So y is proportion to x,
21 / 12 = 14 / x
x = 14 (12 / 21)
x = 2 (12 / 3)
x = 2 (4)
x = 8

Thus, the required value of the x in the proportional relationship is 8.

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Answer:

138.04

Step-by-step explanation:

476 x .71 = 337.96

476 - 337.96 = 138.04

Answer: 192 miles

Step-by-step explanation:

120/5=24

24*8=192

3x | 3x^3+9x^2+27x |x^2+3x+9x

- 3x^3

-------

9x^2

- 9x^2

---------

27x

- 27x

--------

0

Answer:

x^2 + 3x + 9x

Hope you could get an idea from here.

Doubt clarification - use comment section.

It would be about 13 minutes.

Answer:

Step-by-step explanation:

g

Answer:

xy-19x+3y-57

Step-by-step explanation:

Once again, FOIL is the way to go!

First, Outside, Inside, Last

xy-19x+3y-57

Answer:

xy-19x+3y-57

Step-by-step explanation:

(x+3)(y-19)

FOIL

first: xy

outer: -19x

inner 3y

last  -57

Add them together

xy-19x+3y-57

187, 500 ml are needed to prepare 750 mg from 1:250.

We have to find amount in ml to prepare 750 mg from 1:250.

let the amount needed in ml be x.

Using proportion

1/750 = 250 / x

x= 750 . 250

x= 187, 500 ml

Thus, to prepare 750 mg 187,500 ml is needed.

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Answer:

angle nol equals 67⁰

Step-by-step explanation:

since they make a straight line they both equal 180⁰ when added together

Answer:

67

Step-by-step explanation:

Those angles are supplementary so they add up to 180. so if you do 180-113 you'll end up with 67°.

Answer:

50*32=16.00

Step-by-step explanation:

Answers:

See the diagram below.

======================================

Explanation:

Let's say we replaced 3x with y for now.

3x+1 is the same as y+1

So we have y+1 = 10

To isolate y, we undo the addition and subtract 1 from both sides.

That means -1 will go in the first two boxes.

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

After that step is done, we have y = 9 which is the same as 3x  = 9 after replacing y with 3x.

3x means "3 times x".

To undo the multiplication, we divide both sides by 3.

Therefore, boxes 3 and 4 will have "3" each.

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

Box 5 has 3 as well because 9/3 = 3.

The final answer is x = 3.

As a check,

3x+1 = 10

3*3+1 = 10

9+1 = 10

10 = 10

It works out.

Refer to the diagram below.

Answer:

True

Step-by-step explanation:

The easiest way to understand this problem is to first breakdown the notation. In words, the problem is stating 9 is NOT an element of the set containing the elements 4, 1, 8, and 7. Since 4\(\neq\)9, 1\(\neq\)9, 8\(\neq\)9, and 7\(\neq\)9 then 9 is not an element of this set and the statement is true.

Answer:

w=15

Step-by-step explanation:

4w+13×5 = 25×5

4w =125-65

4w =60

w=15

Answer: 6/8 <;3..?

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

12 ÷4= 3

7 x3=21

7 hours = $21

Answer:

Not Equivalent.

Step-by-step explanation:

In order to calculate the confidence Interval, what we need is the t distribution. The population mean number of visits is 11.667 and 19.9928 visits. 95 percent contains true mean while the other 5 does not.

We have n = 12

df = n- 1 = 11

a. To compute the confidence interval use a t distribution.

The mean = fx/n

= 15.83

level of significance = 0.05

standard deviation = 6.555

t α/2, df = 2.20

standard error  = 6.555 / √ 12 = 1.8922

margin of error , = 2.2 * 1.8922 = 4.1628

barx - E = 15.83 - 4.1628 = 11.6672

barx + E = 15.83 + 4.1628 = 19.9928

With 95% confidence the population mean number of visits  is between 11.667 and 19.9928 visits.

c. About 95 percent of these confidence intervals will contain true mean.

about __5__percent will not contain the true population

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The evaluated expression of (6x+3y) - z² divide by 2x when x = -3, y = 4 and z = -6 is 5.3

An algebraic expression consists of unknown variables, numbers and arithmetic operators.

Therefore, let's evaluate the expression, (6x+3y) - z² divide by 2x when x = -3, y = 4 and z = -6.

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number.

In other words, to evaluate the expression, we have to substitute the given value of the variable and simplify the expression.

Therefore,

(6x+3y) - z² = (6(-3)+3(4)) - (-6)² = (-18 + 12) - 36 = -32

2x = 2(-3) = -6

Hence,

- 32 / -6 = 5.3

Therefore,

(6x+3y) - z² / 2x when  x = -3, y = 4 and z = -6 is 5.3

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A common denominator is a shared multiple of the denominators of the fractions involved when adding or subtracting fractions. It enables fraction comparison and addition/subtraction.

Simplification is the process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor. This is done to represent fractions in the simplest terms viable.

Conversion: The process of transferring a fraction from one form to another while retaining its equal value is known as conversion. Finding a common denominator or expressing a fraction in terms of a specified unit or fraction may be required.

Fraction Addition/Subtraction: When adding or subtracting fractions, a common denominator is required. This entails determining a common multiple of

To rewrite the expression 3 + 1/5 + 2/3 using fifteenths as the common denominator, we need to find a common denominator for 5 and 3, which is 15 (since 5 and 3 are both factors of 15).

First, let's convert the fractions 1/5 and 2/3 to fifteenths:

\((\frac{1}{5})(\frac{3}{3}) = \frac{3}{15}\)

\((\frac{2}{3})(\frac{5}{5}) = \frac{10}{15}\)

Now we can rewrite the expression using the common denominator:

\(3 + \frac{3}{15}+\frac{10}{15}\)

Answer: 300%

Step-by-step explanation:

percent of increase: new/old×100%-100%

Since it is percent of increase, you need to subtract the original percent (100%) from the current percent.

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

new (current)=2000

old (original)=500

 new/old×100%-100%

=2000/500×100%-100%

=4×100%-100%

=400%-100%

=300%

Hope this helps!! :)

Please let me know if you have any question or need further explanation