The expression equals ___ ?

Answer: 9 pizzas

Step-by-step explanation:

From the question, we are informed that Jackson Elementary School ordered 25 pizzas for an awards ceremony and at the end of the day, the principal found 8 1/4 pepperoni pizzas and 7 3/4 sausage pizzas left over.

A reasonable estimate for the number of pizzas the students ate at the awards ceremony will be:

= 25 - (8 1/4 + 7 3/4)

= 25 - 16

= 9 pizzas

Answer:

  2.76×10^-3 m/s²

Step-by-step explanation:

You want to know the acceleration of the moon toward the Earth, given its distance is 3.8×10^8 meters, Earth's mass is 5.98×10^24 kg, and the gravitational constant is 6.673×10^-11 N·m²/kg².

The acceleration of one body by another is ...

  a = GM/r²

where G is the gravitational constant, M is the body creating the gravitational field, and r is the distance between the masses.

  a = (6.673×10^-11)(5.98×10^24)/(3.8×10^8)² N/kg

  a = (6.673·5.98/3.8²)×10^(-11+24-16) m/s² ≈ 2.76×10^-3 m/s²

Answer:

whats the question?

The chi-square goodness-of-fit test requires that all anticipated counts be at least five and observations be drawn from random sample in order to be valid. The correct statements are I and III only. Correct option is C.

I. The chi-square goodness-of-fit test requires that all anticipated counts be at least five and that observations be drawn from a random sample in order to be valid. This statement is correct. The chi-square goodness-of-fit test is based on the chi-square distribution, which approximates the sampling distribution of the test statistic.

To ensure the validity of the test, it is generally recommended that all expected counts in the cells of the contingency table have a minimum expected count of five. This guideline helps to ensure that the chi-square test statistic follows the chi-square distribution, which is approximately valid under this condition.

II. The chi-square goodness-of-fit test uses 1 − n degrees of freedom. This statement is incorrect. The number of categories being assessed determines the degrees of freedom for the chi-square goodness-of-fit test. It is equal to the total categories less one. So, if there are n categories, the degrees of freedom for the test would be n - 1, not 1 - n.

III. A condition for using the chi-square goodness-of-fit test is that the observations are based on a random sample. This statement is correct. The chi-square goodness-of-fit test assumes that the observations are obtained from a random sample or represent a random selection from a population.

This assumption is important to ensure that the test results are generalizable to the population from which the sample is drawn. If the observations are not based on a random sample, the test results may not be valid or may be biased. Therefore, random sampling is a condition for using the chi-square goodness-of-fit test.

The correct statements are I and III only. Correct option is C.

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Complete question is:

Which of the statements are correct?

I. A condition for using the chi-square goodness-of-fit test is that all expected counts must be at least five.

II. The chi-square goodness-of-fit test uses 1 − n degrees of freedom.

III. A condition for using the chi-square goodness-of-fit test is the observations are based on a random sample.

a) I only

b) II only

c) I and III only

d) II and III only

e) I, II, and III

Answer:

B. 45 is the correct answer

100

The two-digit number with a ones digit that is 3 more than its tens digit is 58.

We know that a number is a two-digit number and the sum of its two digits is 13. Based on this, some possible numbers that fit this description are:

Moreover, we know that the ones digit is 3 more than the tens digit. Based on this principle, the number that fits the description is 58.

5 (3 more than 8 ) + 8 = 13

Note: This question is incomplete; here is the complete question:

I am 2 digit number. My ones digit is 3 more than my tens and the sum of my digit is 13. Who am I?

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The maximum number of people who can stand in each side of the boat is equal to the buoyant force divided by the average mass of a person multiplied by the acceleration due to gravity.

The maximum number of people who can stand in each side of a boat can be determined using Archimedes' Principle. This principle states that the buoyant force on an object is equal to the weight of the fluid it displaces. In the case of a boat, the buoyant force is equal to the weight of the water it displaces.

Using this principle, the maximum number of people who can stand in each side of a boat can be calculated using the equation:

F_B = m_p * g

Where F_B is the buoyant force, m_p is the total mass of all the people standing in the boat, and g is the acceleration due to gravity.

To determine the maximum number of people, we must first calculate the mass of the boat, m_b. We can do this by multiplying the volume of the boat (V) by the density of the material the boat is made of (ρ).

m_b = V * ρ

Next, we can calculate the total mass of all the people standing in the boat, m_p. This can be calculated by multiplying the total number of people (n) by the average mass of a person (m).

m_p = n * m

Finally, we can calculate the maximum number of people who can stand in each side of the boat by rearranging the equation for F_B and solving for n.

n = (F_B) / (m * g)

Therefore, the maximum number of people who can stand in each side of the boat is equal to the buoyant force divided by the average mass of a person multiplied by the acceleration due to gravity.

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In probability theory, a Venn diagram is a diagrammatic representation of sets that shows all possible logical relations between them. Venn diagrams are widely used in probability and statistics to visualize the relationship between different sets of data.

The given Venn diagram shows the relationship between three sets, A, B, and C. In order to calculate probabilities using a Venn diagram, we need to know the number of elements or members in each set, as well as any overlapping regions.

We can then use these numbers to calculate the probability of different outcomes.Let's consider two possible probabilities from the given Venn diagram:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22. The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3The first probability can be calculated by dividing the number of elements in the overlapping region of sets A and B (which is 0.1) by the total number of elements in set B (which is 0.5).

This gives us a probability of 0.22 or 22%.The second probability can be calculated by dividing the number of elements in the union of sets B and C (which is 0.2) by the total number of elements in either set B or set C (which is 0.6). This gives us a probability of 1/3 or approximately 33%.

Therefore, the correct probabilities are:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22.

The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3

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According to the question, the best estimate for the percentage of people who were affected by the outbreak is approximately 0.086%.

To estimate the percentage of people affected by the outbreak, we can use the following formula:

\(\[\text{Percentage} = \left(\frac{\text{Affected}}{\text{Total population}}\right) \times 100\]\)

Given that the number of affected people is 224,000 and the total population is 260,000,000, we can substitute these values into the formula:

\(\[\text{Percentage} = \left(\frac{224,000}{260,000,000}\right) \times 100\]\)

Calculating this expression, we find:

\(\[\text{Percentage} \approx 0.086 \%\]\)

Therefore, the best estimate for the percentage of people who were affected by the outbreak is approximately 0.086%.

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Answer:

Hi, the price went up by 20%

Hope this helps

Answer:

No Solution

Step-by-step explanation:

\(1. \: 5 = 0 \\ 2. \: no \: solution\)

Hello!

\(\large\boxed{x = 5}\)

11 - (3x + 1) = 7(x - 6) + 2

Distribute the coefficients outside of the parenthesis:

11 - (3x) - (1) = 7(x) + 7(-6) + 2

Simplify:

11 - 3x - 1 = 7x - 42 + 2

Combine like terms:

10 - 3x = 7x - 40

Add 3x to both sides to isolate x:

10 = 10x - 40

Add 40 to both sides:

50 = 10x

Divide both sides by 10:

x = 5

Answer:

11-3x-1=7x-42+2

Put all like terms together

10+40=10x

x=50

Answer:

Explicit: 4-2(n-1)

Recursive: 4(n-1)+-2

Step-by-step explanation:

Explicit formula for arithmetic sequences:

t(n)= t(1)+d(n-1)

Recursive formula for arithmetic sequences:

t(n) = t(n-1)+d

Answer:

check the attachment for your answer

Step-by-step explanation:

Answer: 0.137.

Step-by-step explanation:

Let p be the population proportion of musicians that are left-handed.

Given: Sample size : n= 2690   [subset of population]

Number of musicians that are left-handed: x= 368

Then the sample proportion: \(\hat{p}=\dfrac{368}{2690}\approx0.137\)

Since sample proportion is the best point estimate of the population proportion.

Hence, a point estimate for p, the population proportion of musicians that are left-handed is 0.137.

Since the variables or exponent raised to these variables are "unlike" or different, these terms are referred to as unlike terms.

A variable is, to put it simply, a quantity that may be altered and is not fixed. The two primary categories of variables are categorical and numeric. Then, for categorical and numerical variables, respectively, nominal or ordinal and discrete or continuous subcategories are created for each category. This section provides a quick overview of these types. a quantity that could take any of a range of values. a variable's sign; something that is variable; a component of a scientific experiment that is potentially subject to change.

given

Like terms are those terms that share the same factors.

Consequently, phrases that have identical variables raised to the same exponent are considered similar terms.

What are 25, -3x, and 3x called then , Since the variables or exponent raised to these variables are "unlike" or different, these terms are referred to as unlike terms.

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Regarding the objective function C = 3x + 4y, the minimum and the maximum value are given as follows:

The objective function is defined as follows:

C = 3x + 4y.

The extremas of the function, that is, the minimum and the maximum values, can be obtained at either of these following points:

These extreme values are the numeric values at these points.

In this problem, there is only a single curve, hence the vertices are given as follows:

(0,0), (0,4) and (4,0).

Then the numeric values of the objective function are these points are given as follows:

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The volume of the given cone is 192 π units³.

Given is a cone of height 16 units and radius of 6 units, we need to find the volume of the cone,

V(cone) = π × radius² × height / 3

= π × 6² × 16 / 3

= π × 12 × 16

= 192π

Hence the volume of the given cone is 192 π units³.

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Answer:300 m

Step-by-step explanation:

Answer:

6√2, or about 8.5 meters

Answer: 84 2/3

Step-by-step explanation:

x-66 2/3=18

x=18 + 66 2/3

x=18 + 66 + 2/3

x=84 + 2/3

x=84 2/3

Answer:

288

Step-by-step explanation:

The exact value of the expression tan(π/6) sin(5π/3)⋅cos(-3π/4) is -√3/2.

We have tan(π/6). The angle π/6 is equivalent to 30 degrees. The tangent of 30 degrees is √3/3.

We have sin(5π/3). The angle 5π/3 is equivalent to 300 degrees. In the unit circle, the sine value at 300 degrees is -√3/2.

Finally, we have cos(-3π/4). The angle -3π/4 is equivalent to -135 degrees. In the unit circle, the cosine value at -135 degrees is -√2/2.

Multiplying these values together, we have (√3/3) * (-√3/2) * (-√2/2). Simplifying, we get (√3 * √3 * √2) / (3 * 2 * 2) = (√3 * √2) / 12.

Taking the negative sign into account, the final value is -√3/2, which is approximately -0.866.

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Answer: 2.5 is the answer. To find median you make a list of numbers from least to greatest then simply find the middle number if theres two in the middle add them both together then divide by two thats your answer.

Step-by-step explanation:

According to the corresponding angle theorem angles that are equal to each other are ∠2≅∠6

According to the corresponding angles theorem if the transversal intersects with two parallel lines the corresponding angles will be equal

Here horizontal and parallel lines are c and d which are cut by transversal by p

Angles on line c are 1, 2, 3, 4 clockwise, from uppercase left

The angle on line d are 5, 6, 7, and 8 clockwise, from uppercase left,

Angles which correspond to each other are

∠1≅∠5, ∠2≅∠6, ∠3≅∠7, ∠4≅∠8

Hence by corresponding angle theorem angle 2 will be equal to angle 6.

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Answer: B. ∠2≅∠6

Step-by-step explanation: RIGHT ON EDGE 2023

Answer:

374 mi squared

Step-by-step explanation:

To find the area of the entire figure, we have to split it into parts where it is easier to calculate the area and then add them all together.

Let's start at the top. We can see on the left the length is 6 mi, and below it the length is 11 mi.

Unfortunately, the 11 mi is only part of that top part. But we see at the bottom the length 14 mi.

Above that 14 mi, we can see that half of it is 7 mi.

That means the other half has to be 7 mi.

So now we have the rest of the length at the top.

11 + 7 = 18

So, to find the area at the top part we multiply 6 by 18

6 x 10 = 60

6 x 8 = 48

60 + 48 = 108

So the area of the rectangle at the top is 108 mi squared

Now let's do the bottom part.

This part is easy because we can the length and width are 14 and 11

So, let's multiply 14 by 11

10 x 11 = 110

4 x 11 = 44

110 + 44 = 154

So the area of the bottom rectangle is 154 mi squared

Now the middle part

We can see that one of the sides is 16 mi, and we calculated that the other side is 7 mi earlier to find the area of the top part.

So, we multiply 16 by 7

7 x 10 = 70

7 x 6 = 42

70 + 42 = 112

So now we add all the areas together.

108 + 154 + 112 = 374

The area of the entire figure is 374 mi squared

Answer:

B)

Step-by-step explanation:

distances:

AB = 6

BC = √4+25 = √29

CD = √0+144 = 12

AD = √5²+4² = √41