(2) Explain how the product of 3 and 65 could be used to find (0.03) - (0.65).*

The probability that the sum is equal to 5 is 4/36 and the simplest form is 1/9.

The rolls that sum up to 5 are 1 and 4, 4 and 1, 2 and 3, and 3 and 2 for a total of 4 possibilities.

The formula for calculating probability is P(A) = n(A) / n(S).

where P(A) is the probability of occurring event A.

n(A) is the number of favorable outcomes.

n(S) is the total possible outcomes.

The total no of favorable outcomes, n(A) = 4.

The total no of possible outcomes is 6 times 6, n(S) = 36.

probability = 4/36

simplest form = 1/9

Therefore, The probability that the sum is equal to 5 is 4/36 and the simplest form is 1/9.

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The variance and standard deviation can never be negative. However, they can be zero if there is no variability in the data. It is possible for the variance and standard deviation to be smaller or larger than the mean depending on the spread of the data.

The variance and standard deviation can never be negative.
1. Variance is a measure of how spread out the data points are from the mean. It is calculated by finding the average of the squared differences from the mean. Since squares are always positive or zero, the variance cannot be negative.

2. Standard deviation is the square root of the variance. Since the square root of a negative number is not a real number, the standard deviation cannot be negative either.

It is worth noting that both variance and standard deviation can be zero if all data points are the same, and they can be smaller or larger than the mean, depending on the data distribution.

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Mike cannot attain a mean grade of 85% for every one of his studies since a grade higher than 100% is not feasible.

The sum of all numbers divided by the entire number of values determines the mean (also known as the arithmetic mean, which differs from of the median) of a dataset. This central tendency is usually referred to as the "average".

Just dividing the total amount of information in a data collection even by sum of all of the values yields it. Both raw data and data that have been compiled into a frequency distribution table can be used for the computation.

mean = (sum of all numbers) / (number of numbers)

80% = (82% + 75% + 78% + 80% + m) / 5

85% = m

The another equation is,

85% = (82% + 75% + 78% + 80% + m) / 5

425% = 315% + m

110% = m

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Answer: 60 m squared dimensions

6 m width

10 m length

Step-by-step explanation:

subtract 8 from the perimeter to account for 2 sides having the extra length then divide the answer by 4 to get the length if all the sides were equal

32-8=24

24/4=6

then add the 4 m back to the answer to get the length

................................

Answer:

...................................................../

Step-by-step explanation:

Answer:

3/4 inches

Step-by-step explanation:

Subtract Jimmys string length from Sam's string length

7 1/2 - 6 3/4

Get a common denominator of 4

7 1/2*2/2 - 6 3/4

7 2/4 - 6 3/4

Borrow 1 ( or 4/4) from the 7

6 4/4 + 2/4 - 6 3/4

6 6/4 - 6 3/4

3/4

Find the difference that's the answer

ANSWERS

a) 58

b) 62.2

EXPLANATION

a) The median is the middle value. It separates the data set in two. To find the median we have to put the data in order, from least to greatest:

The number of data is odd, this means that the median will be one of the values of the data set and not a mean between two of them. If there are 9 values, the median is the 5th value - so we have 4 values to the left and 4 values to the right.

The first 4 values are 44,49,53,54, so the median is 58.

b) The mean is the sum of all values of the data set divided by the amount of data:

Rounded to one decimal place, the mean is 62.2

The correct statement is: the volume of the cylinder is 8 cubic inches more than that of the cone.

The volume of cone (V) = 1/3 * πr²h

Volume of cylinder (V) = πr²h

Where, r is the radius of their bases.

The base area formula for the cone = πr²

Calculate the area of the base of the cone that has a radius (r) of 2.5 in:

Area of the base of the cone = π(2.5)² ≈ 19.6

The volume of the cone (V) = 1/3 * πr²h = 1/3 * π * 2.5² * 6.5

≈ 42.5 cubic inches

Volume of cylinder (V) = πr²h = π * 2² * 4

≈ 50.3 cubic inches

The difference in volume = 50.3  - 42.5

= 7.8 ≈ 8 cubic inches

Therefore, the only statement that is true is: the volume of the cylinder is 8 cubic inches more than that of the cone.

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The domain of the function shown in the graph is the one in option A:

6 ≤ k ≤ 11

The domain of a function y = f(x) is the set of the inputs of the function. To identify the domain in a graph, we need to look at the horizontal axis (also called the x-axis).

On the graph we can see that it starts at x = 6 with a closed dot, and it ends at x = 11 also with a closed dot.

That means that these values belong to the domain, so we can write the domain as follows:

Domain = 6 ≤ k ≤ 11

(notice that the variable in the horizontal axis is k).

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Answer: The distance between these two points is 5.

Step-by-step explanation:

Yay! Love doing distance formula questions!

Okay, so first off, the distance formula goes as follows:

d = \(\sqrt(x^{2} - x^1)^2 + (y^{2}-y^1)^2\)

Basically you just plug in your coordinates to the formula.

Step 1:

\(\sqrt(-5 + 5)^{2} + (2-7)^{2}\)

Step 2: Distribute the exponent to both parenthesis to get \(\sqrt{25}\).

Step 3: Factor the number, which would result in \(\sqrt{5^2}\).

As a result of this, your answer would be 5.

The percent increase in players from last year to this year = 20%

We know that the formula for the percentage change a quantity is :

(P) = [Final value - Initial value] / Initial value x 100

Here, a baseball team had 80 players show up for tryouts last year and this year 96 show up for tryouts.

initial number of players = 80

current number of players = 96

So, using above formula the percent increase in players is:

P = [(96 - 80) / (80)] x 100

P = (16 / 80) x 100

P = 0.20 x 100

P = 20%

Therefore, the percentage of increase in players =  20%.

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Answer:

5.3

Step-by-step explanation:

-2r+3s

Let r=-8.2 s=-3.7

-2(-8.2) +3(-3.7)

16.4-11.1

5.3

Answer:

5.3

Step-by-step explanation:

Substitute the variables.

-2(-8.2) + 3(-3.7) = 5.3

Answer:

Step-by-step explanation:

Let the number of month be x

Expression to show amounts

Amount

Time is 36 months

Amount is $9550

I will try solve these ok na neo

Answer:

B

Step-by-step explanation:

\(\frac{5}{6} +\frac{2}{3} \\\\=\frac{5}{6}+\frac{2*2}{2*3} \\\\=\frac{5}{6}+\frac{4}{6} \\\\=\frac{5+4}{6} \\\\=\frac{9}{6} \\\\=\frac{3*3}{3*2} \\\\=\frac{3}{2}\)

\(=\frac{2+1}{2} \\\\=\frac{2}{2}+\frac{1}{2} \\\\=1+\frac{1}{2}\)

B.One and one half

Answer:

2 : 8

Step-by-step explanation:

Using the scientific notation, the country's residents use approximately 3.23 × 10¹⁰ gallons of water each day.

In scientific notation, a number is written as the product of a coefficient and a power of 10. The coefficient is usually a decimal number between 1 and 10, and the power of 10 indicates the scale of the number.

The average water usage per resident is 1.0 × 10² gallons/day. The population is approximately 3.23 × 10⁸.

To find the total number of gallons used by the country's residents each day, we can multiply the average water usage per resident by the population:

Water use = (1.0 × 10² gallons/day) × (3.23 × 10⁸ residents) = 3.23 × 10¹⁰ gallons/day

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The number of people that gave the modal response is given as follows:

14 people.

(considering the number of people who said that they speak French).

The mode of a data-set is the observation that appears the most times in the data-set.

We have that each circle represents four people, hence the number of people for each response is given as follows:

The modal response is French, which 14 people answered.

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The perimeter of the paperboard that remains after the semicircle is removed will be 93.12 inches.

Given that:

Length, L = 26 inches

Wide, W = 16 inches

Diameter, D = 16

A shape's periphery is calculated by summing the lengths of all of its sides and borders.

The perimeter is calculated as,

P = 2L + W + πD/2

P = 2 x 26 + 16 + 3.14 x 16 / 2

P = 93.12 inches

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The missing diagram is attached below:

Answer:

Ratio of their perimeters is equal to the ratio of their corresponding side lengths. the ratio of their areas is equal to the square of the ratio of their corresponding side lengths.

Answer:

Exact Form:

15 /2

Decimal Form:

7.5

Step-by-step explanation:

When the relationship between the regression line and the data points is weak, it indicates a lack of strong association and highlights the need for further investigation and consideration of alternative explanations to better understand the underlying dynamics of the variables being studied.

When the relationship is weak, it implies that the data points are scattered and do not follow a clear pattern or trend. The variability in the data is high, making it difficult to establish a strong linear relationship. This could be due to various reasons, such as the presence of outliers, measurement errors, or the existence of other unaccounted factors influencing the variables.

The weak relationship between the regression line and the data points suggests that the predictive power of the regression model is limited. The regression line may not effectively explain or predict the values of the dependent variable based on the independent variable(s). Consequently, relying solely on the regression analysis to make accurate predictions or draw conclusions may be unreliable.

It is important to interpret the results cautiously and consider alternative explanations or additional variables that might contribute to the observed variability in the data. Further exploration and analysis may be needed to identify other potential factors that influence the relationship between the variables and to determine whether a different model or approach is more appropriate.

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The year-2 CPI is 102, and the rate of inflation from year 1 to year 2 is 2%.

To calculate the rate of inflation and the Consumer Price Index (CPI) change from year 1 to year 2, we need to follow these steps:

Step 1: Calculate the inflation rate:

Inflation Rate = (Year 2 CPI - Year 1 CPI) / Year 1 CPI

Step 2: Calculate the Year 2 CPI:

Year 2 CPI = (Year 2 Basket Price / Year 1 Basket Price) * 100

Let's calculate the values:

Year 1 Basket Price = $25.00

Year 2 Basket Price = $25.50

Step 1: Calculate the inflation rate:

Inflation Rate = ($25.50 - $25.00) / $25.00

Inflation Rate = $0.50 / $25.00

Inflation Rate = 0.02 or 2%

Step 2: Calculate the Year 2 CPI:

Year 2 CPI = ($25.50 / $25.00) * 100

Year 2 CPI = 1.02 * 100

Year 2 CPI = 102

Therefore, the year-2 CPI is 102, and the rate of inflation from year 1 to year 2 is 2%.

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Answer:

consider x as the number of hours you work

so, the function that would satisfy this equation is

10x

Answer:

-435588

Step-by-step explanation:

12−3 ∙ 1210 ∙ 120

Multiply first

12-435600

Then subtract

-435588

Answer:

12^7

Step-by-step explanation:

I got it right in grandpoint

For Pearson correlation the most common purpose to examine is given by option a. The relationship between 2 variables.

The Pearson correlation is a statistical measure that indicates the extent to which two continuous variables are linearly related.

It measures the strength and direction of the relationship between two variables.

Ranging from -1 perfect negative correlation to 1 perfect positive correlation.

And with 0 indicating no correlation.

It is commonly used in research to examine the association between two variables.

Such as the relationship between height and weight, or between income and education level.

Therefore, the most common purpose of a Pearson correlation is to examine the relationship between 2 variables.

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The above question is incomplete, the complete question is:

The most common purpose for a Pearson correlation is to examine,

a. The relationship between 2 variables

b. Relationships among groups

c. Differences between variables

d. Differences between two or more groups

The solution to the system is x = 2 and y = 6, represented as the ordered pair (2, 6). This corresponds to option (B) in the answer choices.

To solve the system using substitution, we'll substitute the value of one variable from one equation into the other equation and solve for the remaining variable.

Given the system:

x + y = 8

y = 3x

Substituting the value of y from the second equation into the first equation, we have:

x + (3x) = 8

4x = 8

x = 2

Now, substitute the value of x into the second equation to solve for y:

y = 3(2)

y = 6

Therefore, the solution to the system is (2, 6). Option (B) is the correct answer.

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Zack should use a line with one arrowhead to map an abandoned line of reasoning.

A line with one arrowhead is commonly used in diagrams to represent the direction of a process or flow of information. In the case of mapping an abandoned line of reasoning, the line can be used to show the original train of thought that was pursued but later abandoned.

The arrowhead can indicate the point at which the reasoning was abandoned or diverted. Therefore, using a line with one arrowhead would be the most appropriate shape for Zack to use. The other shapes listed (orange oval, green rectangle, red) do not provide a clear representation of a line of reasoning and would not be suitable for this purpose.

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