A school found that the number of students buying lunch from the cafeteria had declined. The school wants to revise its current lunch


menu. They asked parents and students to suggest new meals.


Which method of selecting new meals will produce an unbiased result?


O A. All of the suggested meals will be reviewed by the teachers and their favorites will be used.


O B. All of the suggested meals will be shuffled into one stack and every 10th suggestion will be used.


O c. A box will be placed at the school entrance for parents to drop off their meal suggestions. Every 10th suggestion will be used.


OD. A box will be put in the cafeteria for students to drop off their meal suggestions. The first 20 will be used.

Answer:

Keshuan will save 135.00  with the rebate price

Answer:

m=-1/3 b=-1

Step-by-step explanation:

Answer:

p = 2 + l w

Step-by-step explanation:

Answer:

44.8miles

Step-by-step explanation:

All i had to do was subtract

Answer:

44.8miles

Step-by-step explanation:

Answer:

2 km < 4,000 m

Step-by-step explanation:

2 km = 2,000 m

Therefore, 2,000 m is less than 4,000 m.

The order from smallest to largest is 1.5, 4, 13.

To compare numbers using a horizontal number line, simply need to place each number on the line and see which one is farther to the right (greater) or to the left (less).

Here's how to compare 13, 4 and 1.5 on a number line:

So, in this case, 1.5 is to the left of 4, which is to the left of 13. Therefore, the order from smallest to largest is 1.5, 4, 13.

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Answer: 65.4

V = pi r^2 h/3

V = pi (2.5^2) (10/3)

V = pi (6.25) (3.33)

V = 65.4

Answer:

\(v = \pi {r}^{2} \frac{h}{3} = {2.5}^{2} \times 3.14 \times \frac{10}{3} = 65.416\)

Answer:

Step-by-step explanation:

Joey wants the relation between 7, 10, and x that will show a triangle with sides 7, 10, and x is a right triangle, where x < 10.

There are two features of a right triangle that are of interest here.

Since the side with measure x is less than 10, the side of length 10 is the longest, hence the hypotenuse.

The Pythagorean theorem tells us the sum of the squares of the legs is equal to the square of the hypotenuse for a right triangle. Showing this condition is met is sufficient to show that the triangle is a right triangle.

For legs x and 7, and hypotenuse 10, this is ...

  x² + 7² = 10²

Jorge must show that x² + 7² and 10² have the same value.

a)  P(X=330) is approximately 0.0002. b)P(X>340) is approximately 0.0294. c) P(335≤X≤345) is approximately 0.6415. d) P(X=300) is approximately 0.0004 of given probabilities

To find the probabilities using Excel's function options, we can use the binomial distribution function, which is provided as BINOM.DIST in Excel.

a) P(X=330):

=BINOM.DIST(330, 400, 0.8, FALSE)

The first argument is the specific value (330), the second argument is the total number of trials (400), the third argument is the probability of success (0.8), and the fourth argument FALSE indicates that we want the probability for a specific value.

The result is approximately 0.0002.

Therefore, P(X=330) is approximately 0.0002.

b) P(X>340):

=1 - BINOM.DIST(340, 400, 0.8, TRUE)

Since we want the probability of X being greater than 340, we can subtract the cumulative probability of X up to 340 from 1. We use the TRUE argument to indicate that we want the cumulative probability.

The result is approximately 0.0294.

Therefore, P(X>340) is approximately 0.0294.

c) P(335≤X≤345):

=BINOM.DIST(345, 400, 0.8, TRUE) - BINOM.DIST(334, 400, 0.8, TRUE)

To find the probability of X being between 335 and 345 (inclusive), we subtract the cumulative probability of X up to 334 from the cumulative probability of X up to 345.

The result is approximately 0.6415.

Therefore, P(335≤X≤345) is approximately 0.6415.

d) P(X=300):

=BINOM.DIST(300, 400, 0.8, FALSE)

The first argument is the specific value (300), the second argument is the total number of trials (400), the third argument is the probability of success (0.8), and the fourth argument FALSE indicates that we want the probability for a specific value.

The result is approximately 0.0004.

Therefore, P(X=300) is approximately 0.0004.

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The option that  accurately  fit the description that  explains how a fair decision can be made in this situation is option A - the sum of the slips of paper is 9.

This is known to be  scientific method used when each unit in a population is known or said to have an equal chance of been selection for  any inclusion into a sample.

The option that  accurately  fit the description that  explains how a fair decision can be made in this situation is option A - the sum of the slips of paper is 9, a small coffee will be ordered. if the sum of the slips of paper is 11, a medium coffee will be ordered. If the sum of the slips of paper is 6 or 14, a large coffee will be ordered.

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To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.

If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.

On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.

In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.

By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.

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A deficiency in the release of vasopressin (ADH) by the posterior pituitary gland causes diabetes insipidus. Option C

Diabetes insipidus is a condition characterized by the inability of the body to regulate water balance due to a deficiency in the release of vasopressin, also known as antidiuretic hormone (ADH), by the posterior pituitary gland. Vasopressin plays a crucial role in regulating water reabsorption in the kidneys, thereby controlling urine concentration and volume.

When there is a deficiency of vasopressin, the kidneys are unable to properly reabsorb water, leading to excessive urination and increased thirst. This condition is called diabetes insipidus, which is different from diabetes mellitus, a condition related to blood sugar regulation.

Hypoglycemia refers to low blood sugar levels and is not directly associated with a deficiency in vasopressin. Dwarfism, on the other hand, is a condition characterized by stunted growth and is caused by various factors such as genetic mutations or hormonal imbalances, but not specifically by a deficiency in vasopressin.

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Answer:

5.86cm²

Step-by-step explanation:

Area of the shaded region = Area of the rectangle - Area of the circle

Area of rectangle = Length * Width

Area of rectangle = 3cm * 3cm

Area of rectangle = 9cm²

Area of the circle = πr²

Given radius r = 1cm

Area of the circle = 3.14(1)²

Area of the circle = 3.14cm²

Area of the shaded region = 9 - 3.14

Area of the shaded region = 5.86cm²

Answer:

5.86cm²

Step-by-step explanation:

Area of the shaded region = Area of the rectangle - Area of the circle

Area of rectangle = Length * Width

Area of rectangle = 3cm * 3cm

Area of rectangle = 9cm²

Area of the circle = πr²

Given radius r = 1cm

Area of the circle = 3.14(1)²

Area of the circle = 3.14cm²

Area of the shaded region = 9 - 3.14

Area of the shaded region = 5.86cm²

Answer:

hi........................................

Answer:

5/8

Step-by-step explanation:

We can solve this by turning 2 1/2 into a decimal.

2 1/2 = 2.5

2.5 ÷ 4 = 0.625

0.625 = 5/8

2 1/2 divided by 4 is 5/8

Answer:

2.8 x 10^-5

Step-by-step explanation:

Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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Answer:

Emmanuel will walk 510 miles in 1.7 hours.

Step-by-step explanation:

Given that Emmanuel walks at an average speed of 5 m/min.

It means:

As there are 60 minutes in 1 hour.

so

1.7 hours = 102 minutes

Thus,

The walking distance in 102 minutes = 5 × 102

                                                             = 510 miles     ∵ 1 min = 5 miles

Therefore, Emmanuel will walk 510 miles in 1.7 hours.

Answer:

√180 > 105 / 8

Step-by-step explanation:

105 / 8 = 13.125

√169 = 13

√196 = 14

we now know that √180 is about 13 to 14

using a calculator the value of √180 is about 13.4

so √180 must be greater than 105/8

Answer:

Step-by-step explanation:

6x = 54

x = 54 /6

x=9

therefore value of x is 9

Answer:

6x=54 if x =9 because 54/6 equals nine

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/\(\sqrt{5}\)

=1\(\sqrt{5}\) *\(\sqrt{5}\)/\(\sqrt{5}\)

=1*\(\sqrt{5}\)/\(\sqrt{5}\)*\(\sqrt{5}\)

=1\(\sqrt{5}\)/5

Equation that represents Jada’s take-home earnings in dollars E = 12.20(h)-7.15

The equation that represents the situation is h=6.82 hours.

An equation, a formula that is express the equality of two expressions. The equation is representing direct proportion is , by the commenting them with in the equal sign .

As per the given question

Pay hour = $12.20 per hour

Bus fare = $7.15

1.Equation:

Assume that

She has work for "h" hours

Total earning = E

So, E = 12.20(h) - 7.15

If, Total earning = E = $90.45

So, E = 12.20(h) - 7.15

90.45 = 12.20(h) - 7.15

h = 6.82 hours

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a. The mean is 11.00 (correct)

b. The mean is 14.70 (incorrect)

c. The median (the 50th percentile) is 7.00 (correct)

d. The median (the 50th percentile) is 10.75 (incorrect)

5, 6, 7, 15, 22

The mean is calculated by adding up all the numbers and dividing by the total count:

Mean = (5 + 6 + 7 + 15 + 22) / 5 = 11

So option a. The mean is 11.00 is correct.

The median (the 50th percentile) is the middle number when the dataset is arranged in ascending order. Since we have an odd number of values, the median is the middle value itself.

So option d. The median (the 50th percentile) is 10.75 is incorrect.

The median of the dataset is 7 since it is the middle number when the dataset is arranged in ascending order.

So option c. The median (the 50th percentile) is 7.00 is correct.

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The variance of the following sample. 4 5 3 6 5 6 5 6 is 6/7 or approximately 0.857.

To calculate the variance of the given sample,

we can use the formula for variance which is given by:$$\sigma^2=\frac{\sum_{i=1}^n(x_i-\bar{x})^2}{n-1}$$

Where, $x_i$ is the $i^{th}$ value of the sample, $\bar{x}$ is the mean of the sample and $n$ is the sample size.

Now, let's calculate the variance of the sample {4, 5, 3, 6, 5, 6, 5, 6}:

First, we need to find the mean of the sample, which is given by:

$$\bar{x}=\frac{\sum_{i=1}^n x_i}{n}=\frac{4+5+3+6+5+6+5+6}{8}=5$$

Now, we can use the formula for variance to calculate the variance of the sample:

$$\sigma^2=\frac{\sum_{i=1}^n(x_i-\bar{x})^2}{n-1}$$$$\sigma^2=\frac{(4-5)^2+(5-5)^2+(3-5)^2+(6-5)^2+(5-5)^2+(6-5)^2+(5-5)^2+(6-5)^2}{8-1}$$$$\sigma^2=\frac{(-1)^2+0^2+(-2)^2+1^2+0^2+1^2+0^2+1^2}{7}=\frac{6}{7}$$

Therefore, the variance of the given sample is 6/7 or approximately 0.857.

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Variance is a measure of how much a set of data points deviates from the mean value of the data points. To calculate variance, we must follow certain steps. Let’s take an example to understand the same:Given data points are 4, 5, 3, 6, 5, 6, 5, 6

The first step in calculating variance is to find the mean of the data points. The formula for finding the mean is to add up all the data points and divide by the total number of data points in the set. The mean of the data set is: Mean = (4+5+3+6+5+6+5+6)/8 = 40/8 = 5The next step is to calculate the deviation of each data point from the mean. To calculate the deviation of each data point, we subtract the mean from each data point. We will obtain the deviations as follows: 4-5 = -1, 5-5 = 0, 3-5 = -2, 6-5 = 1, 5-5 = 0, 6-5 = 1, 5-5 = 0, 6-5 = 1.The next step is to square each deviation obtained in step 2. We will obtain the squared deviations as follows: (-1)^2 = 1, 0^2 = 0, (-2)^2 = 4, 1^2 = 1, 0^2 = 0, 1^2 = 1, 0^2 = 0, 1^2 = 1.The next step is to add up all the squared deviations obtained in step 3. The sum of squared deviations is: 1+0+4+1+0+1+0+1 = 8.The final step is to divide the sum of squared deviations obtained in step 4 by the total number of data points in the set. We will obtain the variance as follows: Variance = 8/8 = 1.Thus, the variance of the given sample is 1.

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Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

The similarity property that can be used for the triangles is SAS.

The congruence of any two figures is generally understood as two figures which can perfectly overlap each other. Congruent triangles are triangles that are perfect copies of one another. Various congruence rules are used to prove the congruency in two triangles

One of the conditions that make triangles congruent is:

if the two sides and the included angle of one triangle are respectively equal to the two sides and the included angle of the other( SAS).

Considering the given image:

If two triangles ABC and DEF are drawn in which AB/DE = AC/DF and the included angles <A and <D are equivalent i.e. <A ≅ <D

Since the two sides and the included angle of ΔABC are respectively equal to the two sides and the included angle of the ΔDEF

Therefore, the similarity property that can be used is SAS. The  3rd option is the answer

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