Choose the words to complete the statement.

This shape is a
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and a
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.

Given:

A group of young adults was surveyed about their favorite pizza topping.

The toppings of pepperoni and sausage were in the ratio of 5:7

So, using the ratio and proportions:

pepperoni : sausage : total

5 : 7 : 12

x : y : 120

The number of people who said pepperoni was their favorite = x

So, the answer will be 50 people said pepperoni was their favorite

(a) The mean is expected to be less than the median. (b) Approximately 1.98% of individuals live between 65.38 years and 83.04 years. (c) The smallest interval guaranteed to capture at least 92% of all life expectancies is approximately 5.43 years.

(a) In a skewed-left distribution, the tail of the distribution is elongated to the left, meaning that there are some low values that pull the mean towards the left side of the distribution. In such cases, the mean is usually less than the median.

This happens because the mean is sensitive to extreme values, and when there are a few very low values, they can significantly affect the mean. On the other hand, the median represents the middle value of the data, so it is less affected by extreme values and is generally a better measure of the central tendency in skewed distributions.

Therefore, in this case, we would expect the mean (74.21 years) to be less than the median.

(b) To find the percentage of individuals living between 65.38 years and 83.04 years, we can calculate the z-scores for these values and use the standard normal distribution table. The z-score is calculated as (x - mean) / standard deviation.

For 65.38 years:

z1 = (65.38 - 74.21) / 3.87 = -2.27

For 83.04 years:

z2 = (83.04 - 74.21) / 3.87 = 2.27

Using the standard normal distribution table or a calculator, we can find the area under the curve between these two z-scores. Since the standard normal distribution is symmetric, the area between -2.27 and 2.27 is the same as the area between -2.27 and -(-2.27), which is 2 * P(z < 2.27).

Using the standard normal distribution table or a calculator, we find that P(z < 2.27) is approximately 0.9884.

Therefore, the percentage of individuals living between 65.38 years and 83.04 years is approximately 2 * 0.9884 = 1.9768, which is approximately 1.98% (rounded to two decimal places).

(c) To find the smallest interval guaranteed to capture at least 92% of all life expectancies, we need to find the z-score corresponding to the cumulative probability of 0.92.

Using the standard normal distribution table or a calculator, we find that the z-score corresponding to a cumulative probability of 0.92 is approximately 1.4051.

We can then calculate the interval using the formula:

Interval = z * standard deviation

Interval = 1.4051 * 3.87 = 5.43 (rounded to two decimal places)

Therefore, the smallest interval guaranteed to capture at least 92% of all life expectancies is approximately 5.43 years.

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Answer:

85

Step-by-step explanation:

Here, we want to use the given number of 3's to get the answer of 5

Mathe matically, we can have this as;

By adding what we have above , we get 6

Dividing this by 3, we get 2

Then consequently, we add this to 3 and we get 5

Answer:

Step-by-step explanation:

(2x) + (3x+5) = 90°

5x = 85°

x = 17°

Given the data on the length of the metacarpal bone (X) and the height (Y) of 22 sets of skeletal remains, we are asked to find the random variables, the equation of the best-fitting line (least squares regression equation), interpret the slope and Y-intercept, predict the height for a given length of metacarpal, and compute the residual for a specific data point (47, 172).

(a) The random variables are X (length of metacarpal) and Y (height).

(c) To find the equation of the best-fitting line, we need to perform linear regression. Using the given data, we calculate the slope (β₁) and the Y-intercept (β₀) of the regression line. The equation will be in the form ^Y = β₀ + β₁X.

(d) The slope (β₁) represents the expected change in Y (height) for every 1-unit increase in X (length of metacarpal). Its interpretation will include the units of Y divided by the units of X.

(e) The Y-intercept (β₀) represents the expected height when X (length of metacarpal) is 0. The interpretation will include the units of Y.

(g) To compute the residual for the ordered pair (47, 172), we substitute X = 47 into the regression equation ^Y = β₀ + β₁X and subtract the actual Y-value (172). The residual is the difference between the predicted and observed Y-values.

To provide specific numerical values for the equations and predictions, the original data and calculations are needed.

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Answer:

Answer is D.

Step-by-step explanation:

Answer:does it need a graph

Step-by-step explanation:

do you need to have a graph or is it multiple choice answer?

details?

This takes into account the fact that each of the angles has an opposite ray on its other side in addition to the common side they share.

When two rays are linked at their ends, they create an angle in geometry. The sides or arms of the angle are what are known as these rays.

When two lines meet at a point, an angle is created.

An "angle" is the measurement of the "pening" between these two rays. It is symbolized by the character. The circularity or rotation of an angle is often measured in degrees and radians.

Angles are a common occurrence in daily life.

Angles are used by engineers and architects to create highways, structures, and sports venues.

Hence, This takes into account the fact that each of the angles has an opposite ray on its other side in addition to the common side they share.

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Argument A is an example of a deductive argument. It is valid since the conclusion follows logically from the premises. In terms of soundness, more information is required to make a determination.

To provide a more detailed explanation, please see below:Deductive arguments are those where the premises imply the conclusion. They seek to demonstrate that the conclusion follows necessarily from the premises. An argument is valid when the premises lead logically to the conclusion, meaning that if the premises were true, the conclusion would also have to be true. In Argument A, the premises are "all triangles have three sides" and "an isosceles triangle is a triangle." The conclusion is "an isosceles triangle has three sides."The conclusion follows necessarily from the premises, so the argument is valid. However, in order to determine if it is sound, we would need to confirm the truth of the premises. Are all triangles really three-sided? Is an isosceles triangle really a type of triangle? If we can confirm the truth of these premises, then the argument is also sound. If we cannot, then the argument is unsound.

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The mean absolute deviation for the given dataset of 3, 6, 3.8, 3.2, and 3.4 is approximately 0.996. This means that, on average, each data point in the dataset deviates from the mean by approximately 0.996.

The mean absolute deviation (MAD) measures the average distance between each data point and the mean of the dataset. To find the MAD, you need to follow these steps:

1. Calculate the mean of the dataset by adding up all the numbers and dividing the sum by the total number of data points. In this case, the dataset consists of the following numbers: 3, 6, 3.8, 3.2, and 3.4. Adding them up gives us a sum of 19.4. Dividing this sum by 5 (since there are 5 data points) gives us a mean of 3.88.

2. Find the absolute deviation for each data point by subtracting the mean from each data point and taking the absolute value. For example, for the first data point, 3, the absolute deviation would be |3 - 3.88| = 0.88. Repeat this step for all the data points.

3. Calculate the mean of the absolute deviations by adding up all the absolute deviations and dividing the sum by the total number of data points. In this case, the absolute deviations are: 0.88, 2.12, 0.72, 0.68, and 0.58. Adding them up gives us a sum of 4.98. Dividing this sum by 5 gives us a mean of 0.996.

So, the mean absolute deviation for the given dataset is approximately 0.996.


The mean absolute deviation helps us understand how much each data point varies from the mean of the dataset. By calculating the absolute deviation for each data point and finding the average, we can determine the typical amount of variation in the dataset.


The mean absolute deviation for the given dataset of 3, 6, 3.8, 3.2, and 3.4 is approximately 0.996. This means that, on average, each data point in the dataset deviates from the mean by approximately 0.996.

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Answer:

$27.93

Step-by-step explanation:

First we divided 4 from 15.96 and got 3.99, so now we know that $3.99 is how much each ounce of jellybeans costs so now we multiply 3.99 times 7 to get our answer of 27.93.

Answer: 8/12

Step-by-step explanation:

First you multiply 1/6 with 1/2 that would give us 1/12

Then you add 1/12 with 7/12

Our answer would be 8/12

Answer:

2/3 or in Decimal its 0.6

Step-by-step explanation:

1/6x+7/12 when x= 1/2.

1/6(1/2)+7/12

In the given equation x = 9 is the value that satisfies the equation.

The square root of a number is a value that, when multiplied by itself, equals the original number. For example, the square root of 9 is 3, because \(3*3 = 9\). The symbol for square root is "√" and it can also be represented as "sqrt".

In the given equation \(x = 9\) is the value that satisfies the equation.

To find the value of x in the equation \(3 \sqrt{x} = 9\), we first need to square both sides of the equation to eliminate the square root.

\(3 \sqrt{x} = 9\)

Squaring both sides:

\((3 \sqrt{x} )^2 = 9^2\)

\(x = 9^2 / 3^2 = 9^2 / 9 = 9\)

Therefore, x = 9 is the value that satisfies the equation.

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Monopolies tend to exhibit higher profit and lower quantities sold compared to a competitive market. This is because monopolies have the ability to set prices higher than their marginal cost without the fear of losing customers to competitors.

They can charge higher prices and restrict output to maximize profits. In contrast, in a competitive market, firms must price their goods at the market price determined by the forces of supply and demand and produce at the level of output where their marginal cost equals the market price. This leads to lower prices and higher quantities sold.

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The scale factors are given as follows:

A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.

Considering two equivalent side lengths, the scale factors are given as follows:

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Answer:hi

Step-by-step explanation:

Answer:

Please find attached the bar model that shows the comparison between Abba's previous height to the height by which Abba grew over the past year

Step-by-step explanation:

A bar model, in mathematics, is defined as a graphic depiction of a given quantity represented by numbers presented in a rectangular box or bar form that is then applied in finding numerical relationship solutions

The height by which Abba grew over the past 1 year = 1 ft.

Abba's current height = 5 feet

Therefore, Abba's initial height = 5 feet - 1 foot = 4 feet

Please find attached the bar model that compares Abba's previous height to the height Abba grew over the past year created with Microsoft Visio

A function assigns the values. The type of function that it could be is exponential.

A function assigns the value of each element of one set to the other specific element of another set.

The growth for a function is the slope between any given range of values. Given the growth of a function is less from x= 1 to x = 4 than from x = 5 to x = 8. This is possible for an exponential function. Hence, the type of function that it could be is exponential.

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Answer:

0.00085

Step-by-step explanation:

here

Answer:

The slope is -2. The y intercept is 4.

Step-by-step explanation:

Answer:

Well this question is actually a piece of cake. Just pick your favorite number. Multiply it by 10. Then do whatever operation you want with the 2,300. For the exponent part of this. Lets say we do it this way y times z equals 2,300. Exponents are letters used in mathematical terms. So any letter can be used to represent any number.

Step-by-step explanation:

The probability that 5 messages are received in 1 hour is is 0.1755 ,the probability that 10 messages are received in 1.5 hours is 0.0858 and the probability that less than 2 messages are received in 1/2 hour is 0.2873

Let X shows the number of messages received per hour. The pdf of X is

\(P(X=x)=\) \(\frac{e^{-5}\cdot 5^{x}}{x!},x=0,1,2,3,....\)

Therefore, the probability that 5 messages are received in a single hour is

\(P(X=5)=\frac{e^{-5}\cdot 5^{5}}{5!}=0.1755\)

(b) Number of message received in 1 hour is 5 so number of message received in 1.5 hour is 7.5. So the probability that 10 messages are received in 1.5 hours is

\(P(X=10)=\frac{e^{-7.5}\cdot 7.5^{10}}{10!}=0.0858\)

(c) Number of message received in 1 hour is 5 so number of message received in 1/2 hour is 2.5. So the probability that less than 2 messages are received in 1/2 hour is

\(P(X < 2)=\frac{e^{-2.5}\cdot 2.5^{0}}{0!}+\frac{e^{-2.5}\cdot 2.5^{1}}{1!}=0.2873\)

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Mario's  total Cost = 35 + (40.50×m) + 49.50 + (49.99×m).

Cost is the monitorial associated with the purchase of production of food or service if can include the price of materials which is over it. And other expenses that are related to the production of the good or service cost is a major factor when deciding whether to purchase a product something as it is an indicator of the value of the product of sound service.

The expression to represent Mario's total cost for both services after m months is 35 + (40.50 x m) + 49.50 + (49.99 x m) = Total Cost.

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The approximate circumference of spaceship Earth is 160m

The formula for calculating the volume of a sphere is given as;

V = 4/3 πr³

Given that;

Now, substitute the values

65417 = 1. 3 ×3.14r³

Multiply the values

65417 = 4. 082r³

Make r the subject

r³ = 16025. 722

Find the cube root

r = 25. 2m

The circumference is expressed as;

Circumference = 2πr

Substitute the values, we have;

Circumference = 2× 3.14 × 25.2

Circumference = 160 m

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       For C1(Q) = 3 - 2Q.

        For C2(Q) =  4.

     2. The AVC function

           For C1(Q) = 5/Q + 3 + 20/Q - Q.

           For C2(Q) = 3/Q + 4 + 2/Q.

     3. The AFC function

              For C1(Q)= 5/Q - 20/(5 + 3Q + 20/Q - Q)

              For C2(Q) = 0.

     4.  To find the AC function

        For C1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

         For C2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

    5.To find the ATC function

    For C1(Q)= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²)

     For C2(Q)= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

1. To find the MC function, we take the derivative of the cost functions with respect to Q.

For C1(Q) = 5 + 3Q + 202 - Q^2, MC1(Q) = 3 - 2Q.

For C2(Q) = 3 + 4Q + 2, MC2(Q) = 4.

2. To find the AVC function, we divide the cost functions by Q.

For C1(Q), AVC1(Q) = (5 + 3Q + 202 - Q^2)/Q = 5/Q + 3 + 20/Q - Q.

For C2(Q), AVC2(Q) = (3 + 4Q + 2)/Q = 3/Q + 4 + 2/Q.

3. To find the AFC function, we subtract the AVC function from the ATC function.

For C1(Q), AFC1(Q) = (5 + 3Q + 202 - Q^2)/Q - (5 + 3Q + 202 - Q^2)/(5 + 3Q + 20/Q - Q)

= 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AFC2(Q) = (3 + 4Q + 2)/Q - (3 + 4Q + 2)/(3/Q + 4 + 2/Q) = 0.

4. To find the AC function, we add the AVC function to the AFC function.

For

C1(Q), AC1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AC2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

5. To find the ATC function, we divide the AC function by Q.

For

C1(Q), ATC1(Q) = [(5 + 3Q + 202 - Q²)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q)]/Q

= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²).

For

C2(Q), ATC2(Q) = [(3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q]/Q

= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

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Answer:

1 : 4

Step-by-step explanation:

There are 10 marbles in a bag 1/5 are red and the others are blue. What is the ratio of red to blue marbles?

Number of red marbles = fraction of red marbles x total number of marbles

1/5 x 10 = 2

Number of blue marbles = total number of marbles - number of red marbles

10 - 2 = 8

ratio of red to blue marbles

2 : 8

To transform to the simplest form. divide both numbers by 2

1 : 4

A new car can be ordered in 448 different ways.

To determine the number of different ways a new car can be ordered in terms of these options, we need to multiply the number of choices for each option together.

There are 7 possible colors, 2 choices for air conditioning (with or without), 2 choices for heated seats, 2 choices for anti-lock brakes, 2 choices for power windows, and 2 choices for a CD player.

By applying the Fundamental Counting Principle, we multiply these numbers together:

7 colors × 2 air conditioning choices × 2 heated seats choices × 2 anti-lock brakes choices × 2 power windows choices × 2 CD player choices

7 × 2 × 2 × 2 × 2 × 2

= 448

Therefore, a new car can be ordered in 448 different ways in terms of these options.

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