There was 7/8 of a pizza left over. Sally ate 1/3 of the leftover pizza. What fraction of the whole pizza did Sally eat?

The sampling method in which every nth member of the population is chosen to be a part of the process is known as systematic sampling. The value of n is calculated by dividing the total population by the sample size. It is a statistical method of selecting elements from a population.

Systematic sampling is one of the probability sampling techniques in which a sample is selected from a larger population. It is a form of non-random sampling that allows researchers to establish an ordered, systematic way of selecting subjects from a population.Systematic sampling is often used when there is a large population and a need for simplicity in selecting a sample. This method is advantageous in terms of its ease of implementation and efficient sampling.

A disadvantage of this method is the possibility of a skewed sample if the periodicity of the population is not taken into account.A systematic sample can be obtained by arranging the population elements in a particular order, for instance, alphabetical or chronological order, and then selecting every kth element, where k = population size / sample size. This method of sampling has been proven to be more efficient than other sampling methods when there is a need to cover a large population.

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1) The total amount you will pay for the game is approximately $43.03. 2)For a lunch bill of $9.89, a 15% tip would amount to approximately $1.48.

To calculate the total amount you will pay for the game after applying taxes, you need to calculate the city tax and state tax separately. For the city tax of 0.5%, you can multiply the purchase price of $39.99 by 0.005, which gives $0.19995 (rounded to $0.20). Next, for the state tax of 7.25%, you can multiply the purchase price by 0.0725, which gives $2.899275 (rounded to $2.90).

Adding the city tax and state tax to the purchase price: $39.99 + $0.20 + $2.90 = $43.09. Rounded to two decimal places, the total amount you will pay for the game is approximately $43.03.

To estimate a 15% tip for a lunch bill of $9.89, you can multiply the bill amount by 0.15. Doing so, you get $9.89 × 0.15 = $1.4835 (rounded to $1.48). Therefore, a 15% tip for a lunch bill of $9.89 would amount to approximately $1.48.

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Answer:

1/√2

Approximate numerical value

1/√2 = 0.707106781186548

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

Rationalize the denominator

(1/√2) * (√2 / √2) = √2 / 2

Answer:

180

Step-by-step explanation:

The definition of angles that are supplementary is that their measures add to 180°.

Answer:

A

Step-by-step explanation:

A looks good to me why?

Well:  31 x -10= -310 - true

Could I get brinliest pls Tysm if u do!

Hope this helps :D

Answer:

BD = 26

Solve for x:

\(x=21\)

Step-by-step explanation:

\(4x-58 = 2x-16\)

\(x=21\)

\(4(21)-67=17; 17+9 =26\)

Tip:

BC + CD = BD

Option D is correct as it justifies the two systems being equivalent

Multiply by 2 the first equation A

2 (X + 2Y ) = 6

This would give us the first part of the equation B

= 2x + 4y = 12

Then the second equation

Multiply by 5 to get B

5(2/5x - y ) = 3

= 2x - 5y = 15

Hence the last option is the correct answer

Therefore we would say that Option D is correct as it justifies the two systems being equivalent

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The simplified form of the expression is  \((2m-3n)^2\).

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. Unknown variables, integers, and arithmetic operators are the components of an algebraic expression. There are no symbols for equality or inequality in it.

Here the given expression is \(4m^2-12mn+9n^2\).

Then,

=> \(2^2m^2-2\times2\times3\times m\times n+3^2n^2\)

=> \((2m)^2-2\times2m\times3n+(3n)^2\)

We know that \((a-b)^2=a^2-2ab+b^2\) Then,

=> \((2m-3n)^2\)

Hence the simplified form of the expression is  \((2m-3n)^2\).

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The value of x in the equation 2x - 5 = 1 is 3.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

The equation will be:

2x - 5 = 1

Collect the like terms

2x = 1 + 5

2x = 6

Divide

x = 6 / 2

x = 3

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Answer:

\( \frac{23}{5} \)

Step-by-step explanation:

4 3/5

\( \frac{4 \times 5 + 3}{5} \)

\( \frac{20 + 3}{5} \)

= 23/5

Answer:

-15

Step-by-step explanation:

if its just asking for what number would represent a loss of 15 it would be negative 15

i dont know if there's more to the problem or not

Answer:

-15

Step-by-step explanation:

This is because whatever much water was in the tank is now decreasing by 15, therefore, you can write it as -15,

hope this helps!

Answer:

6ft tall

Step-by-step explanation:

10-4=6

Answer:

6 feet tall

Step-by-step explanation:

10-4=6 feet

Ethan is a tall beanstalk that measures 6 feet tall.

(That's actually pretty funny because one of my best friends is named Ethan and he is 6 feet tall)

Integration by substitution is more appropriate for Integral 1, and integration by parts is more appropriate for Integral 2.

Integral 1: ∫ x^2sin(x) dx

Integration by substitution is more appropriate for this integral. To use this method, the first step is to choose a substitution, such as u = x^2. Then, the integral can be rewritten as ∫ u sin(√u) du, which is easily integrable. Integration by parts would be much more complicated in this case, as you would need to break the integral into two parts and calculate the integral of each part separately.

Integral 2: ∫ x^2e^x dx

Integration by parts is more appropriate for this integral. To use this method, the first step is to choose an appropriate integration by parts formula, such as u = x^2 and dv = e^x dx. Then, the integral can be rewritten as x^2e^x - ∫ 2x e^x dx, which is easily integrable. Integration by substitution would be much more complicated in this case, as you would need to choose a substitution and then rewrite the integral in terms of the substitution. Integration by substitution is more appropriate for Integral 1, and integration by parts is more appropriate for Integral 2.

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The solution to the matrix equation [3 -1; -1 2] [a; b] = [7; -9] is option B- a = 2 and b = 1.

To solve the matrix equation, we need to find the values of a and b that satisfy the equation.

the matrix [3 -1; -1 2] and the column matrix [a; b], we perform matrix multiplication by multiplying corresponding elements and summing the products.

The resulting equation is:

3a - b = 7,

-a + 2b = -9.

We can solve this system of linear equations by using various methods such as substitution or elimination.

Using the elimination method, we multiply the first equation by 2 and the second equation by 3 to eliminate the coefficients of a:

6a - 2b = 14,

-3a + 6b = -27.

Adding these two equations, we get:

3a + 4b = -13.

Next, we multiply the second equation by 2 and add it to the first equation to eliminate the coefficients of b:

6a - 2b + (-2a + 4b) = 14 + (-18),

4a + 2b = -4.

Simplifying, we obtain:

7a = -18,

a = -18/7.

Substituting this value back into the first equation, we find:

3(-18/7) - b = 7,

-54/7 - b = 7,

b = -54/7 - 7,

b = -9/7.

Therefore, the solution to the matrix equation is a = -18/7 and b = -9/7, which can be simplified to a = 2 and b = 1 which is option b.

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Answer: 8.94

Step-by-step explanation:

d = sqrt ((x2 - x1)^2+ (y2 - y1)^2)

d = sqrt (80)

d = 8.944272

Answer:

x = 122°

Step-by-step explanation:

There is remote angle( non- adjecent angle) and their sum equal to the exterior angle .

Exterior angle is an angle formed from one side of the polygone and the extended side so

<A and <B are remot angle and <BCD is exterior angle .

And we write the equetion as

<A + <B = <BCD

58° + 64° = x°

122° = X°

so the exterior angle ( x ) measures 122° .

The MMPI-2 test is used for the assessment of psychopathology and personality of patients.

It includes 567 true-false questions, resulting in 10 clinical scales, among which one is the anxiety subscale.

A score of 30 or less is usually considered very low.

The questions are answered by the patient, usually in a clinical or research setting.

A one-sample t-test is conducted in the problem, whereby a sample of 18 participants in a yoga group is tested for anxiety scores.

The following are the parameters of the one-sample t-test:Groups:

18 participants

Null hypothesis: The anxiety scores of Felipe's yoga group are statistically equal to 30." value: 30

Type of test: One-tailed test

Alternative hypothesis: The anxiety scores of Felipe's yoga group are greater than 30.

Degrees of freedom: n - 1 = 17T-observed value: (35.2 - 30) / (10.4 / sqrt(18)) = 2.41T-critical value: 1.734

Reject or retain null hypothesis: Since the t-observed value (2.41) is greater than the t-critical value (1.734), Felipe should reject the null hypothesis, which implies that his yoga group's scores are greater than 30.P-value: 0.014Cohen’s d value: (35.2 - 30) / 10.4 = 0.5

If the " value were reduced to 0.01, Felipe would still reject the null hypothesis, since the p-value (0.014) is lower than the alpha level (0.01).

For the sample mean: 35.2CI for 42%: 35.2 ± 0.58CI for 79%: 35.2 ± 1.16CI for 95%: 35.2 ± 2.13

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Answer:

I Also need the answer plese helep ussss

Step-by-step explanation:

Laplace transforms are an essential mathematical tool used to solve differential equations. These transforms transform differential equations to algebraic equations that can be solved easily.

To solve the differential equations given in the question, we will use Laplace transforms. So let's start:Solution:a) y" – y = t y(0) = 1, y'(0) = 1First, we take the Laplace transform of the given differential equation.L{y" - y} = L{ty}

Taking the Laplace transform of both sides gives:L{y"} - L{y} = L{ty}Using the formula, L{y"} = s²Y(s) - s*y(0) - y'(0), and L{y} = Y(s) then we get:s²Y(s) - s - 1 = (1/s²) + (1/s³)Rearranging the above equation, we get:Y(s) = [1/(s²*(s² + 1))] + [1/(s³*(s² + 1))]Now, we apply the inverse Laplace transform to find the solution.y(t) = (t/2)sin(t) + (cos(t)/2)

The solution of the differential equation y" – y = t, with initial conditions y(0) = 1, y'(0) = 1 is y(t) = (t/2)sin(t) + (cos(t)/2).

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Answer:

it's b

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

Jordan lives 18 miles away from the store

Step-by-step explanation:

Distance=speed × time

Where,

d= distance

s= speed

t= time

Total driving time takes half an hour

Distance=speed × time

time=Distance/speed

t=1.5

Speed 1=30 mph

Speed 2:=20 mph

t=d/s1 + d/s2

1.5=d/30 + d/20

1.5=20d + 30d / 600

1.5=50d/600

Cross product

1.5×600=50d

900=50d

Divide both sides by 50

900/50=d

18=d

Therefore,

d=18 miles

Jordan lives 18 miles away from the store

There are 7 motorcycles and 4 cars in the parking lot

An equation is an expression composed of variables and numbers linked together by mathematical operations.

Let x represent the number of motorcycle and y represent the car. There could be a 2 wheel motorcycle or a 4 wheel car.

There are 11 vehicles in the parking lot, hence:

x + y = 11    (1)

There are 30 wheels, hence:

2x + 4y = 30    (2)

From both equations:

x = 7, y = 4

There are 7 motorcycles

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Answer:

-2m - 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

20x+5y=15

Subtract 20x from both sides.

5y=15−20x

Divide both sides by 5.

__5y_  = _15-20x_____

    5                5

y=  __15-20______

            5

Divide 15−20x by 5.

y=3−4x

Answer:

X = 12

<B = 45°

Explanation:

From the diagram above:

Alternate exterior angles are equal. Therefore,

\(5x - 15 = 2x + 21 \\ collecting \: liketerms \\ 5x - 2x = 21 \: + 15 \\ 3x = 36 \\ dividing \: bothsides \: by \: 3 \\ \frac{3x}{3} = \frac{36}{3} \\ x = 12 \)

For the measure of angle B

2x + 21°

2(12) + 21 = 24 + 21 = 45

Measure of angle B = 45°

Susan has more candy in weight compared to Isabel.

To compare the candy weights between Susan and Isabel, we need to ensure that both weights are in the same unit of measurement. Let's convert Isabel's candy weight to ounces for a fair comparison.

Given:

Susan: 4 bags x 6 ounces/bag = 24 ounces

Isabel: 1 bag x 16 ounces/pound = 16 ounces

Now that both weights are in ounces, we can see that Susan has 24 ounces of candy, while Isabel has 16 ounces of candy. As a result, Susan is heavier on the candy scale than Isabel.

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The second approximation to the root of the equation x³ - 9 = 0 using Newton's method with the initial approximation x₁ = -2 is approximately x₂ = -0.5833.

To apply Newton's method to find the second approximation, x₂, to the root of the equation x³ - 9 = 0, we follow these steps:

Determine the function and its derivative.

Let f(x) = x³ - 9 be the given equation. The derivative of f(x) is f'(x) = 3x².

Choose an initial approximation.

In this case, the given initial approximation is x₁ = -2.

Apply Newton's method formula.

The formula for Newton's method is:

xₙ₊₁ = xₙ - f(xₙ) / f'(xₙ)

We start with x₁ = -2 and substitute it into the formula to find x₂:

x₂ = x₁ - f(x₁) / f'(x₁)

Calculate x₂.

Substituting the values into the formula:

x₂ = -2 - ( (-2)³ - 9 ) / (3(-2)²)

= -2 - ( -8 - 9 ) / (3 * 4)

= -2 - ( -17 ) / 12

= -2 + 17 / 12

= -2 + 1.4167

= -0.5833

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