Evaluate the expression:
4,2030

Answer:

Step-by-step explanation:

Precision is defined as the ratio of true positives (TP) to the total predicted positives (TP + FP). In this case, the confusion matrix shows 46 TP and 4 FP, so the precision can be calculated as:

precision = TP / (TP + FP) = 46 / (46 + 4) = 0.92

Rounding to 2 decimal places, the precision ratio is 0.92.

The absolute value of x minus one is equal to two. Therefore, x must be either one greater than two (x = 3) or one less than two (x = 1).

One less than x results in a value of two in absolute terms. As a result, x minus 1 has an absolute value of 2, which is a positive number. The separation of an integer from zero is its absolute value. As a result, x minus 1 is two units from zero in absolute terms. As x minus one has an absolute value of two, its real value must either be two or a negative two. That is to say, x must either be one more than two (x = 3) or one less than two (x = 1).In order to confirm this, let's look at a few examples. If x = 3, then |x - 1| = |2 - 1| = |1| = 1 which is not equal to two. Therefore, x = 3 is not the answer we are looking for. On the other hand, if x = 1, then |x - 1| = |1 - 1| = |0| = 0 which is not equal to two. Therefore, x = 1 is also not the answer we are looking for. The only two possible solutions for the equation |x - 1| = 2 are x = 3 and x = 1. Therefore, the result of |x - 1| = 2 is that x must be either one greater than two (x = 3) or one less than two (x = 1)

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The total clay required is 376.2 cm³and area to be painted is given by 300.7 cm²

The volume of a Right Circular Cylinder. In general, the volume of a right cylinder is the area of the base times the height of the cylinder. The area of the circular base is given by the formula A = πr2. Substitute to get V = πr2h.

Given here: The dimensions of the edge of the cube as 5cm and the cylinder diameter is 4cm with a height of 20cm

We know the volume of the cube is given by a³ where a is the measure of the length of the cube

Thus a³=5³

            =125 cm³

and surface area of the cube is given by 6a²=6×25

                                                                          =150 cm²

Again the volume of the cylinder and surface area of the given cylinder is as follows:

Volume= 22/7×2²×20

            =251.2 cm³

surface area = 2·π·2·10+2·π·22≈150.79645cm²

Thus the clay required to make the toy is=125+251.2

                                                                    =376.2 cm³

And the area to be painted is given by =150.7+150

                                                                 =300.7 cm²

Hence, The total clay required is 376.2 cm³and area to be painted is given by 300.7 cm²

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\(6 \times ( - 4) \\\blue{ = - 24}\)

\( \\\)

\( \frac{ - 20}{ - 5} \\ = \frac{20}{5} \\ \blue{= 4}\)

\( \\\)

\( \frac{ - 60}{6} \\\blue{ = - 10}\)

\( \\\)

\( - 2 \times 9 \\ \blue{ = - 18}\)

\( \\\)

\( \frac{20}{ - 4} \\ \blue{ = - 5}\)

\( \\\)

\( - 2 \times - 5 \\ \blue{= + 10}\)

\( \\\)

\( \frac{ - 49}{7} \\ \blue{ = - 7}\)

\( \\\)

\( - 10 \times - 7 \\ \blue{= + 70}\)

\( \\\)

\( \frac{36}{ - 6} \\ \blue{= - 6}\)

\( \\\)

\( - 10 \times 8 \\ \blue{ = - 80}\)

\( \\\)

\((2 \times - 3) - ( - 7\times - 10) \\ = - 6 - ( + 70) \\ = - 6 - 70 \\ \blue{ = - 76}\)

Answer:

310 miles

Step-by-step explanation:

You can set up a proportion and solve for x.

2 6.2

___ = ___

100 x

Cross multiply

2x=6.2*100

Simplify

2x=620

Divide each side by 2

x=310

=============================================

Explanation:

x = original price

If she saves 20%, then she still pays the remaining 80% which then converts to the decimal form 0.80

The expression 0.80x represents the new price, or sale price, of the dress. We're told this price is $180

Equate the two expressions and solve for x

0.80x = 180

x = 180/0.80

x = 225

The original price is $225

------------------------

Checking the answer:

20% of 225 = 0.20*225 = 45

She saves $45

225 - 45 = 180

This confirms the answer.

Answer:

B. 6

Step-by-step explanation:

I had the same question and 6 was correct.

hope this helps :)

The extent to which conclusions developed from data collected from a sample can be extended to the population is known as generalizability.

Generalizability is defined as the ability to extend the findings of a research study conducted on a sample to the population as a whole. The extent to which the research findings can be applied to other individuals, groups, or settings is determined by generalizability. The more representative the sample is of the population, the more generalizable the results will be to the population. However, if the sample is not representative of the population, the results may not be generalizable to the population as a whole. Therefore, it is important to ensure that the sample is representative of the population and that the study is conducted in a manner that minimizes bias and maximizes the validity of the results.

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a)  The probability that at least 3 people in a random sample of 100 believe they have seen a UFO is approximately 0.001.

b)   The probability that 3 or 4 people in a random sample of 100 believe they have seen a UFO is approximately 0.002.

Assuming "IS" stands for "people in general" and that each person's belief in seeing a UFO is independent of the others:

(a) Let X be the number of people who believe they have seen a UFO out of a random sample of size n = 100. Then X follows a binomial distribution with parameters n = 100 and p = 0.05, where p is the probability of any individual in the sample believing they have seen a UFO.

We want to find P(X ≥ 3), the probability that at least 3 people in the sample believe they have seen a UFO. Using the complement rule and the binomial cumulative distribution function (CDF), we have:

P(X ≥ 3) = 1 - P(X < 3)

= 1 - P(X = 0) - P(X = 1) - P(X = 2)

≈ 0.001

Therefore, the probability that at least 3 people in a random sample of 100 believe they have seen a UFO is approximately 0.001.

(b) We want to find P(3 ≤ X ≤ 4), the probability that 3 or 4 people in the sample believe they have seen a UFO. Using the binomial CDF, we have:

P(3 ≤ X ≤ 4) = P(X = 3) + P(X = 4)

≈ 0.002

Therefore, the probability that 3 or 4 people in a random sample of 100 believe they have seen a UFO is approximately 0.002.

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No, it doesn't show that single individuals under the age of 25 have more insurance claims than the nationwide percent reported by the big insurance firm.

Hypothesis

Null hypothesis : H0: p = 0.68

Alternative hypothesis : Ha: p > 0.68

A random sample of 53 claims showed that 41 were made by single people under the age of 25.

Thus; p^ = 41/53 = 0.7736

The test statistic is

z = (p^ - p_o)/√(p_o(1 - p_o)/n)

z = (0.7736 - 0.68)/√(0.68(1 - 0.68)/41)

z = 0.0936/0.07285

z = 1.28

The p-value from z-score calculator, using z = 1.28, one tail hypothesis and significance level of 0.05,we have;

P(z > 1.28) = 0.100273

The p-value gotten is greater than the significance value and so we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim.

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The expected value of the profit for the player from one play of the game is $0.125.

To calculate the expected value, we need to determine the probability of landing in each sector and multiply it by the corresponding profit. Since there are 8 sectors on the wheel and each has an equal probability of being landed on, the probability of landing in any given sector is 1/8.

Let's denote the profits from each sector as P1, P2, ..., P8. From the problem statement, we know that P1 = -$1.00 (as the ticket costs $1.00 to play the game). The profits for the other sectors are not provided, so let's assume they are as follows: P2 = $0.50, P3 = $1.00, P4 = $2.00, P5 = $1.50, P6 = -$0.50, P7 = $1.50, P8 = $3.00.

The expected value (EV) can be calculated as follows:

EV = (P1 * 1/8) + (P2 * 1/8) + (P3 * 1/8) + (P4 * 1/8) + (P5 * 1/8) + (P6 * 1/8) + (P7 * 1/8) + (P8 * 1/8)

  = (-$1.00 * 1/8) + ($0.50 * 1/8) + ($1.00 * 1/8) + ($2.00 * 1/8) + ($1.50 * 1/8) + (-$0.50 * 1/8) + ($1.50 * 1/8) + ($3.00 * 1/8)

  = -$0.125 + $0.0625 + $0.125 + $0.25 + $0.1875 - $0.0625 + $0.1875 + $0.375

  = $0.125

Therefore, the expected value of the profit for the player from one play of the game is $0.125.

The expected value of the profit for the player is a measure of the average amount they can expect to win (or lose) per game in the long run. In this carnival game, with an equal probability of landing in each sector, the expected value of the profit is $0.125. This means that, on average, the player can expect to make a profit of $0.125 per game over a large number of plays.

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Answer:

9. The 5 bags for $25 is a better deal

10. You would need $16.72

Step-by-step explanation:

9. Divide 25/5=5 and 42/7=6

The 5 bags for $25 is a better deal because it's the smallest answer.

10. Divide $12.54/6=$2.09 per book

Multiply $2.09*8=$16.72 for 8 books

Answer:

9. The 5 bags for $25.00 is the best offer.

10. 8 books is $16.72.

Step-by-step explanation:

9. Because you have to find out how much each bag costs so you divide the total cost by the ammount of bags. When you do this you get $5 dollars a bag for the 5 bags and $6 dollars a bag for the 7 bags.

10. You need to find out how much each book cost so you divide the amount of money by 6 and you get $2.09. Then you multiple 8 by 2.09 and you get 1672 but then you have to move the decimal to the left two times and you end up with $16.72.

The required GCF is 8.

The greatest common factor is that greatest number from the factors which divides the number completely.

For example take numbers 12 and 16.

The factors of 12 are 2×2×3.

And the factors of 16 are 2×2×2×2.

We can clearly see that the common factors are 2×2 which gives 4. So, 4 is the greatest common factor which divides both 12 and 16.

Here it is given to find the greatest common factor of 16 and 40.

Factors of 16 = 2×2×2×2

Factors of 40 = 2×2×2×5

We can see clearly the common factors are 2×2×2 which gives 8.

So, 8 is the greatest common factor.

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When possible, the best way to establish that an observed association is the result of a cause-and-effect relation is by means of a well-designed experiment. The correct option is B.

Cause and effect refers to a relationship between two variables in which one variable, the cause, produces the other variable, the effect. Causality is a scientific term used to describe the relationship between a cause and an effect. It is also known as causation, and it is the process by which one event brings about or produces another event.

The research findings are used to establish cause-and-effect relationships. Causation, in the context of epidemiology, implies that a change in the level of the independent variable produces a change in the level of the dependent variable, which is required for establishing causality. However, correlation does not equate to causation. Correlation is the relationship between two variables that occur together but do not necessarily imply a cause-and-effect connection.

Thus, the correct option is B.

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The statement, "A statistic is a formula calculable with data," is True. A statistic is a mathematical calculation that uses data to summarize, organize, analyze, and interpret data.

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. In summary, a statistic is a numerical value that represents a piece of information about a particular data set. It is calculated using mathematical formulas, statistical models, or algorithms.

The purpose of using statistics is to provide objective and accurate descriptions of the data, measure the degree of variability, identify patterns and trends, make inferences, and test hypotheses. In conclusion, statistics are used in different fields such as social sciences, business, finance, medicine, engineering, and environmental studies, to name a few, to make informed decisions based on data analysis.

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Answer:

the ANSWER IS D

Step-by-step explanation:

because its multiplication

Answer:

C

Step-by-step explanation:

The function C has a range of (-infinity, a] and domain [b, infinity)

The solution to the logarithm equation is log5(2x-7) = 0 is x = 4.

What is logarithm ?

A logarithm is a mathematical function that represents the exponent to which a fixed number, called the base, must be raised to produce a given value. In other words, a logarithm is the inverse operation of exponentiation.

For example, if we have the equation \(10^3 = 1000\), the logarithm of 1000 with base 10 is 3, because \(10^3 = 1000\). Similarly, the logarithm of 8 with base 2 is 3, because \(2^3 = 8.\)

According to the question:

To solve for x in the equation:

log5(2x-7) = 0

We can use the definition of logarithms which states that log_b(x) = y is equivalent to \(b^y = x.\)

Applying this to the given equation, we get:

\(5^0 = 2x - 7\)

\(1 = 2x - 7\)

\(2x = 8\)

\(x = 4\)

Therefore, the solution to the equation is log5(2x-7) = 0 is x = 4.

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If we substitute equation (2) into (1) then we have the equivalent equations; y = 5 - x and 5 - x = 9x².

An equation must contain two sets of variables, the independent variable and the dependent variable separated by the equality sign.

In this case, the original system of equations are; y = 9x² and x + y = 5. It the follows that, if we substitute equation (2) into (1) then we have the equivalent equations; y = 5 - x and 5 - x = 9x².

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Answer: The answer is D :)

Step-by-step explanation:

The box of chocolates which contain 12.5% caramels has C. 40 pieces of chocolate in the box.

To solve this exercise the percentage formula and the procedure to be applied is as follows:

n= (% * nt) / 100

Where

Information about the problem:

Using the percentage formulate and isolating the total of the number portion (nt), we get:

n= (% * nt) / 100

nt = (n*100) / %

nt = (5 * 100) / 12.5

nt = 40

C. There are 40 pieces of chocolate in the box.

Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.

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The Frisbee following a parabolic path will take  8.5 seconds to hit the ground.

Given that:

h(t) = â€" 0.07t2 - 0.007t - 5

The given equation is the parabolic equation showing the path traced by the frisbee. from the equation

h = height from ground

t = time consumed in seconds

time it takes to hit the ground will be at h = 0.  we therefore solve as follows:

h(t) = â€" 0.07t2 - 0.007t - 5

0 = 0.07t2 + 0.007t + 5

\(=\frac{-0.007+or-\sqrt{0.007^{2}-4*0.07*-5 } }{2*0.07}\)

\(=\frac{-0.007+or-\sqrt{0.0049+1.4 } }{0.14}\)

\(=\frac{-0.007+or-\sqrt{1.3951 } }{0.14}\)

=8.5 or -8.5 seconds

≅ 8.5 seconds

We choose the positive which is 8.5 seconds and can therefore say that the first option is the correct option.

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Answer: 3/4 feet

Step-by-step explanation:

There are 6 feet for 8 bracelets, so we can do 6/8 = 3/4 feet

Answer: 5184.

Step-by-step explanation:

You do 72 x 72.

The coordinates of the fourth vertex of the parallelogram are (1, -3).

A parallelogram is defined as a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

Three vertices are located at these coordinates: (-1, 2), (1, 2), and (-1,-3).

we have three points in the coordinate plane, we can use the concept of vector addition to find the fourth point.

The vectors connecting the first and second points, and the first and third points can be determined as follows:

v₁ = (1,2) - (-1,2) = (2,0)

v₂ = (-1,-3) - (-1,2) = (0,-5)

The fourth point will be located at the vector sum of the first point and the vector formed by adding v₁ and v₂.

v₃ = v₁ + v₂ = (2,0) + (0,-5) = (2,-5)

So, the fourth point will be located at:

(-1,2) + (2,-5) = (1,-3)

Thus, the coordinates are (1, -3).

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The set of inequalities y ≤ x² - 1 and y > -x² + 4 do not have a solution

From the graph, we have:

f(x) = x² - 1

g(x) = -x² + 4

Next, we change the equations to inequalities as follows:

y ≤ x² - 1

y > -x² + 4

To modify the graph, we then perform the following transformations:

Shift the function g(x) down by 2 units

Reflect across the x-axis

Shift the function g(x) down by 3 units

After the modifications in (a), we have:

y ≤ x² - 3 and y > -x² + 2

Next, we plot the graph of the inequalities

From the graph of the inequalities, the curves of the inequalities have no point of intersection

Hence, the set of inequalities do not have a solution

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The value of g(-2) is 0 and the value of g(4) is -4.

The function g is defined as a piecewise function that assigns a specific value to the input x depending on the range of x.

For x between -8 and -2 (not including -2) the function g assigns 6 as the output, for x between -2 and 4 (not including 4) the function g assigns 0 as the output, and for x between 4 and 10 (not including 10) the function g assigns -4 as the output. Therefore, for input x = -2, the function g assigns 0 as the output and for input x = 4, the function g assigns -4 as the output.

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Complete question :

consider a function g.

given

g(x) = 6    if  -8 ≤ x < -2

g(x) = 0     if  -2 ≤ x < 4

g(x) = -4     if  -4 ≤ x < 10

find the value of g(-2) and g(4)

Answer:

\(5(x^3)^3-\frac{4x}{3}\)

Step-by-step explanation:

Let the number be x

Condition:

=> \(5(x^3)^3-\frac{4x}{3}\)

Answer:

\(5x^{9} - 4 x/3\)

Step-by-step explanation:

The difference of 5 times the cube of x cubed and the quotient of 4 times x and 3 can be written as:

\(5 \times (x^3)^3 - (4 \times x)/3\)

Multiply the terms.

\(5(x^3)^3 - 4x/3\)

Multiply the exponents.

\(5x^{3 \times 3} - 4 x/3\)

\(5x^{9} - 4 x/3\)