Elsa bought a pizza for dinner. On the way
home she ate of the pizza. Her brother ate
of the pizza while he was setting the table.
How much pizza was left for dinner?

Answer:

a = 6

Step-by-step explanation:

(3.14 * 18) * 17.5 = 3.14 * (3a * 17.5)

3.14(3x * 17.5) = (3.14 * 18) * 17.5

3.14(3a * 17.5) = 3.14 * 18 * 17.5

3.14(3a * 17.5) = 989.1

3.14 * 3a * 17.5 * 100 = 989.1 * 100

16485a = 98910

a = 98910/16485

a = 6

Solving the equation,  (3.14 × 18) × 17.5 = 3.14 × (3a × 17.5), the value of a is determined as: 6.2.

Given equation: (3.14 × 18) × 17.5 = 3.14 × (3a × 17.5)

Step 1: Simplify the left side:

3.14 × 18 × 17.5 = 55.89 × 17.5

= 976.575

Step 2: Simplify the right side:

3.14 × (3a × 17.5) = 52.5 × 3a

= 157.5a

Step 3: Equate the left and right sides:

976.575 = 157.5a

Step 4: Solve for the value of a by dividing both sides by 157.5:

976.575 / 157.5 = a

6.2 = a

a = 6.2

Therefore, the value of a is 6.2.

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Answer:

D  4+p=24

Step-by-step explanation:

So P stands for Paul & how much he spent.

Dan spent $24 at the store & he spent $4 more than Paul, so Paul only spent $20.  So P = $20

So which equation would work if you substituted $20 for P?

4 + P = 24

4 + 20 = 24

Answer:

Step-by-step explanation:

First: pay attention in class

Next: do what the teacher says

Answer:

Yes

Step-by-step explanation:

In mathematics rational means "ratio like." so a rational number is one that can be written as the ratio of two integers. 1 3/23 can be converted into 26/23, which is a ratio, therefore, 1 3/23 is a rational number.

Hope this helps!

Answer:

80

Step-by-step explanation:

Answer:

1 5/36

Step-by-step explanation:

To add fractions, you need to have a common denominator between the two fractions.

In this case, the lowest common denominator would be 36. Convert each fraction.

5/9 = 20/36 (multiply the numerator and denominator by 4)

7/12 = 21/36 (multiply top and bottom by 3)

20/36 + 21/36 = 41/36

Then you need to simplify the fraction. 36 goes into 41 once (1), with a remainder of 5, so you would get 1 5/36.

Hope this helps!

To calculate the probabilities, we need to use the concept of binomial probability.

For a fair coin being tossed 5 times:

(a) Probability of getting five heads:

The probability of getting a head in a single toss is 1/2.

Since each toss is independent, we multiply the probabilities together.

P(Head) = 1/2

P(Tails) = 1/2

P(Five Heads) = P(Head) * P(Head) * P(Head) * P(Head) * P(Head) = \((1/2)^5\) = 1/32 ≈ 0.03125

So, the probability of obtaining five heads is approximately 0.03125 or 3.125%.

(b) Probability of getting four heads:

There are five possible positions for the four heads.

P(Four Heads) = (5C4) * P(Head) * P(Head) * P(Head) * P(Head) * P(Tails) = 5 * \((1/2)^4\) * (1/2) = 5/32 ≈ 0.15625

So, the probability of obtaining four heads is approximately 0.15625 or 15.625%.

(c) Probability of getting one head:

There are five possible positions for the one head.

P(One Head) = (5C1) * P(Head) * P(Tails) * P(Tails) * P(Tails) * P(Tails) = 5 * (1/2) * \((1/2)^4\) = 5/32 ≈ 0.15625

So, the probability of obtaining one head is approximately 0.15625 or 15.625%.

For a fair die being thrown eight times:

(a) Probability of a 6 occurring six times:

The probability of rolling a 6 on a fair die is 1/6.

Since each roll is independent, we multiply the probabilities together.

P(6) = 1/6

P(Not 6) = 1 - P(6) = 5/6

P(Six 6s) = P(6) * P(6) * P(6) * P(6) * P(6) * P(6) * P(Not 6) * P(Not 6) = \((1/6)^6 * (5/6)^2\) ≈ 0.000021433

So, the probability of rolling a 6 six times is approximately 0.000021433 or 0.0021433%.

(b) Probability of a 6 never happening:

P(No 6) = P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) = \((5/6)^8\) ≈ 0.23256

So, the probability of not rolling a 6 at all is approximately 0.23256 or 23.256%.

(c) Probability of an odd number of 6s:

To have an odd number of 6s, we can either have 1, 3, 5, or 7 6s.

P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)

\(P(One 6) = (8C1) * P(6) * P(Not 6)^7 = 8 * (1/6) * (5/6)^7P(Three 6s) = (8C3) * P(6)^3 * P(Not 6)^5 = 56 * (1/6)^3 * (5/6)^5P(Five 6s) = (8C5) * P(6)^5 * P(Not 6)^3 = 56 * (1/6)^5 * (5/6)^3P(Seven 6s) = (8C7) * P(6)^7 * P(Not 6) = 8 * (1/6)^7 * (5/6)\)

P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)

Calculate each term and sum them up to find the final probability.

After performing the calculations, we find that P(Odd 6s) is approximately 0.28806 or 28.806%.

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Nonverbal instruments have been developed primarily in an attempt to d. assess issues that individuals cannot verbalize.

The answer is d. Nonverbal instruments have been developed primarily to assess issues that individuals cannot verbalize. These instruments are often used in psychology and educational assessments to measure skills and abilities in areas such as mathematics, language, and pre-reading skills, while controlling for the influences of language and culture. Nonverbal instruments can be particularly useful for individuals who struggle with verbal communication or have language barriers.

The exchange of information between people without the use of spoken or written language is referred to as nonverbal communication. Facial expressions, eye contact, gestures, posture, body movements, tone of voice, and even the use of time and space are all included in this broad category of behaviors.

A lot of information about a person's emotional state, intentions, attitudes, and personality traits can be communicated nonverbally. A person's posture and body language, for instance, might show whether they are feeling confident or uneasy, and their tone of voice and facial expressions can show whether they are happy, angry, or sad.

A crucial component of human contact is nonverbal communication since it can improve our ability to understand others, establish rapport, and communicate.

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Answer:

$3.65 per chicken

Step-by-step explanation:

Divide the coat of he chickens by the number of chickens.

18.25/5

= 3.65

So one chicken would cost $3.65.

Answer:

$3.65

Step-by-step explanation:

$18.65/5=$3.65

1 chicken=$3.65

The area of the part of the plane z = ax + by + c that projects onto a region in the xy-plane with area A, is given by A' = A / √(a² + b²), where A' represents the projected area.

The equation of the plane is given as z = ax + by + c, where a, b, and c are constants. We want to find the area of the part of this plane that projects onto a region in the xy-plane with area A.

To calculate the projected area A', we can use the formula A' = A / √(a² + b²). This formula considers the magnitude of the vector (a, b), which is derived from the coefficients of x and y in the plane equation.

By dividing the original area A by the magnitude of the vector (a, b), we obtain the projected area A'. This formula accounts for the direction and length of the vector (a, b), which determines the scaling factor for the projection.

Therefore, by using the formula A' = A / √(a² + b²), we can determine the area of the part of the plane z = ax + by + c that projects onto a region in the xy-plane with area A.

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The complete question is:

Find the area of the part of the plane z = ax + by + c that projects onto a region in the xy-plane with area A.

Answer:

You need 72 cups of peach juice.

Step-by-step explanation:

You just needed to multiple 2 times 36.

If recipe for fruit punch calls for 2 cups of peach juice for every 1 cups of cranberry juice, and you want to make 36 cups of fruit punch. Then 72 cups of each juice do you need to make a total of 36 cups of fruit punch

Two or more expressions with an Equal sign is called as Equation.

Given,

A recipe for fruit punch calls for 2 cups of peach juice for every 1 cups of cranberry juice, and you want to make 36 cups of fruit punch

We need to find the number of cups of each juice do you need to make a total of 36 cups of fruit punch.

To find this we just needed to multiply two with thirty six

2×36

72

Seventy two

Hence 72 cups of each juice do you need to make a total of 36 cups of fruit punch

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Answer:

\(x^{2}\)

Step-by-step explanation:

Answer:

D. <15/√346>

Have a nice day! :)

While measuring mass of precious substances, such as gold, silver, etc., we need to be accurate in our measurement. in competitions and events, a difference of second can make you lose or win the game. Thus, accurate time measurement in such cases is very important.

Precision measures the reproducibility of measurements, even when they are far from the acceptable value, whereas accuracy measures how near a measurement is to a known or accepted value. Repeatable measurements that are reliable and precise are extremely near to the real values.

How closely a measured value resembles the real (or "true") value is referred to as accuracy. For instance, an accurate reading for the weight would be as near to 100g as feasible if you weighed a typical 100g weight on a scale.

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Answer: B

Step-by-step explanation:

A - Nope.

B - Possibility.

C. Nope. (2.23606797)

D. Nope.

When facing questions like this, it can be easier to use the process of elimination.

So we've shown that every pair of vertices in S is connected by an edge in the subgraph induced by S. Therefore, the subgraph induced by S is a complete graph.

To start with, let's clarify what we mean by some of these terms. A graph is just a collection of vertices (or nodes) and edges connecting them. In this case, we're dealing with the complete graph kn, which means that there are n vertices and every possible edge connecting them is included in the graph. So there are a total of n(n-1)/2 edges in the graph.

Now, we're interested in subgraphs of kn. A subgraph is just a subset of the vertices and edges from the original graph. In this case, we're interested in subgraphs induced by nonempty subsets of the vertex set. So if we take some subset of the n vertices in kn, we can look at the edges connecting them and see if they form a complete graph.

So let's say we take some subset of the vertices and call it S. We want to show that the subgraph induced by S is a complete graph. In other words, every pair of vertices in S is connected by an edge.

To see why this is true, let's consider the complement of S, which we'll call S'. This is just the set of vertices in kn that are not in S. Since S is nonempty, S' is also nonempty.

Now, consider any pair of vertices in S. Call them v and w. Since v and w are both in S, they are not in S'. This means that there is an edge connecting v and w in kn, since kn is a complete graph. But since we're only looking at the vertices in S, this edge is also in the subgraph induced by S.

So we've shown that every pair of vertices in S is connected by an edge in the subgraph induced by S. Therefore, the subgraph induced by S is a complete graph.

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a. H0: μ ≤ $50,000, Ha: μ > $50,000

b. t = (60,000 - 50,000) / (10,000 / sqrt(26))

c. Compare t to the critical value from the t-distribution table. If t > critical value, reject H0 and conclude that the average income in Atlanta is higher than the national average.

a. The null hypothesis (H0) is that the average income in Atlanta is equal to the national average income of $50,000. The alternative hypothesis (Ha) is that the average income in Atlanta is higher than the national average income.

b. The relevant test statistic in this case is the t-statistic, as the population standard deviation is unknown. The formula for the t-statistic is:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

c. To test the hypotheses at the 0.05 significance level, we compare the calculated t-statistic to the critical value from the t-distribution table. The degrees of freedom for this test are (sample size - 1), which in this case is 25. If the calculated t-statistic is greater than the critical value, we reject the null hypothesis in favor of the alternative hypothesis. Otherwise, we fail to reject the null hypothesis.

By calculating the t-statistic using the given values and comparing it to the critical value, we can determine whether the average income in Atlanta is significantly higher than the national average income.

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The length of the diagonal is 12.6 feet.

"Information available from the question"

The perimeter of a rectangle is 32 feet.

The length is three times as long as the width.

We have to find the length of the diagonal.

Let w = width

then

3w = length.

Because we know the perimeter:

Perimeter of the rectangle is : 2(l + w)

32 = 2(w + 3w)

32 = 2(4w)

16 = 4w

4 feet = w (width)

Length:

3w = 3(4) = 12 feet

Diagonal, we use the Pythagorean theorem:

Let d = diagonal

then,

\(d^2 = 4^2 + 12^2\)

\(d^2\) = 16 + 144

\(d^2\) = 160

d = 12.6 feet

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The length of GH is 21 units.

The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".

Using the theorem above, we can say:

HI * GI = JI * KI

Since KJ is 5 more than GH, we can say:

KJ = GH + 5

KI = KJ + JI

KI = GH + 5 + 46 = GH + 51

From the figure:

GI = GH + HI

Substituting into:

HI * GI = JI * KI

HI * (GH + HI) = JI * (GH + 51)

48 * (GH + 48) = 46 * (GH + 51)

48GH + 2304 = 46GH + 2346

48GH - 46GH =  2346 - 2304

2GH = 42

GH = 42/2

GH = 21 units

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Complete Question

Check attached image

Answer:

#3: -2 = 2y - 8

#7: 3 = y

#8: y = 3

#4: Angle1 + Angle2 = Angle ABC

#6: Angle 1 and Angle 2 are supplementary

Step-by-step explanation:

6y - 2 = 8y - 8

 8 - 2 = 8y - 6y

     6/2 = 2y/2

       3 = y

       y = 3

Step-by-step explanation:

the distance between 2 points is the Hypotenuse of a right-angled triangle. its legs are the x and y coordinate differences.

and so, we can use Pythagoras

c² = a² + b²

with c being the Hypotenuse, and a, b being the legs.

so,

the x difference is 9-12 = -3

the y difference is 31-25 = 6

therefore,

distance² = (-3)² + 6² = 9 + 36 = 45

distance = sqrt(45) = 6.708203932...

Answer:

Yes, this is correct.

Step-by-step explanation:

Assuming the first equation was a = b, yes. a * c = a * b will also be true. This is known as the Multiplication Property of Equality

Answer: i am a person

Step-by-step explanation:

Answer:

heloo

i am a person

or am I.

Answer:

8(4 - n)

Step-by-step explanation:

Which expression correctly represents “eight times the difference of four and a number”? 8 (n minus 4) 8 (4 minus n) 8 (n) minus 4 8 (4) minus n

Do it one piece at a time.

“eight times the difference of four and a number”:     n

“eight times the difference of four and a number”:     4 - n

“eight times the difference of four and a number”:     8(4 - n)

Answer:

4= 40.0    5=10.0 chance

Answer:

a

Step-by-step explanation:

kbhdghggjkljgggjjhgcd Dr

To reverse the order of integration for the given double integral, we need to convert it from the original order of integration (dy dxdy) to the reversed order (dxdy).  the final result is approximately:≈ 1.15649

To reverse the order of integration, we'll switch the limits of integration and the variables of integration.
The original integral is:
∫[0 to 4] ∫[√y to 2] (1/√(x^3 + 1)) dxdy
To reverse the order of integration, we'll integrate with respect to y first and then with respect to x.
First, let's rewrite the integral with the new limits and variables:
∫[a to b] ∫[c(y) to d(y)] f(x, y) dy dx
where a = 0, b = 4, c(y) = √y, d(y) = 2, and f(x, y) = 1/√(x^3 + 1).
Now we need to determine the new limits for the inner integral with respect to x.
The original inner integral limits were x = √y to 2. So, we'll solve for x in terms of y to find the new limits.
From the original limits:
x = √y    ->    x^2 = y    ->    y = x^2
So, the new limits for the inner integral with respect to x will be y = 0 to y = x^2.
Now we can rewrite the integral with the reversed order of integration:
∫[0 to 4] ∫[0 to x^2] f(x, y) dy dx
Substituting the function f(x, y) = 1/√(x^3 + 1), the reversed integral becomes:
∫[0 to 4] ∫[0 to x^2] (1/√(x^3 + 1)) dy dx
Now we can evaluate this integral using the reversed order of integration.the final result is approximately:≈ 1.15649

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Answer:

standard to vertex form : s*v

In a regular algebra class, completing the square is a very useful tool or method to convert the quadratic equation of the form \(y = a {x^2} + bx + c y = ax2 + bx + c\) also known as the “standard form”, into the form \(y = a [ (x - h)^2] + k y = a(x - h)2 + k\) which is known as the vertex form.

Answer:

\(x_{min} = 75\,camisas\)

Step-by-step explanation:

El número mínimo de camisas a vender es igual al costo de alquiler del local dividido por la diferencia entre los valores de venta y compra de cada camisa. (The minimum amount of shirts to be sold is equal to the rental cost of the retail space divided by the difference between sell and purchase cost per shirt):

\(x_{min} = \frac{\$ 150}{\$ 5 - \$ 3}\)

\(x_{min} = 75\,camisas\)

Miguelito debe vender un mínimo de 75 camisas para obtener ganacias. (Miguelito must sell a minimum of 75 shirts to make a profit.)