A 5lb weight is place on a scale in the gymnasium. The scale misreads the weight to be 5.5lbs
What is its percent error? If the scale is consistently off by the same percentage what weight
will it display of a 150lb athlete?

The probability is 24 out of 883 deaths, which can be expressed as 24/883 or approximately 0.027. Thus, the correct answer is A. 24/883 or 0.027.

To calculate the probability that a particular death is due to an automobile accident using the relative frequency approach, we divide the number of deaths from automobile accidents by the total number of deaths.

Number of deaths from automobile accidents: 24

Total number of deaths: 883

Probability = Number of deaths from automobile accidents / Total number of deaths

Probability = 24 / 883 ≈ 0.027

Therefore, the correct answer is A. 24/883 or approximately 0.027.

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Answer:

The answer is D because outliers are data far away from the main data set.

Answer:

d

Step-by-step explanation:

Here, we are required to determine how long after the first car accelerates will the cars be side by side.

The cars will be side by side at Time, t = 9.11seconds after the first car accelerates.

The position of each car is given by the function of its distance, i.e C1 and C2.

At the point when the cars are side by side;

C^1(t) must be equal to C^2(t).

Mathematically;

Therefore, we have;

By solving quadratically;

We have ; Time, t = 9.11 seconds. (to the nearest hundredth).

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Answer:

it might be c not to sure

Step-by-step explanation:

sorry if u get it wrong

Answer:

c

Step-by-step explanation:

I CAN GET A COOKIE

y>-2x+4 is the inequality of the given graph.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given line passes through (2,0) and (0,4)

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

m=4/-2=-2

4=-2(0)+b

b=4

Hence equation of line y=-2x+4

The shaded region is the above the line and line is dotted. so we have to use greater than symbol.

Hence, y>-2x+4 is the inequality of the given graph.

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If Paul has 10 sockets, he would have 61 wrenches based on the expression.

Let's represent the number of sockets by the variable 's'.

We are given that the number of wrenches is eleven more than five times the number of sockets.

To write an expression for the number of wrenches, we can use this information.

The number of wrenches can be calculated by multiplying the number of sockets by five and then adding eleven to the result.

So the expression for the number of wrenches is:

Number of wrenches = 5s + 11

In this expression, '5s' represents five times the number of sockets because we multiply the number of sockets (s) by five.

Then we add eleven to account for the fact that the number of wrenches is eleven more than five times the number of sockets.

For example, if we assume Paul has 10 sockets (s = 10), we can substitute this value into the expression:

Number of wrenches = 5(10) + 11

= 50 + 11

= 61

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Answer:

d ≈ 10.8 feet

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = πd ( where d is the diameter )

given C = 34 , then

πd = 34 ( divide both sides by d )

d ≈ 10.8 feet ( to 1 dec. place )

Answer:

The diameter of circle is 10.82 feet.

Step-by-step explanation:

\(\longrightarrow\sf{Circumference_{(Circle)} = 2 \pi r}\)

\(\longrightarrow\sf{Diameter_{(Circle)} = 2r}\)

Where

Finding the radius of circle by substituting all the given values in the formula :

\(\longrightarrow\sf{Circumference_{(Circle)} = 2 \pi r}\)

\(\longrightarrow\sf{34 = 2 \pi r}\)

\(\longrightarrow\sf{34 = 2 \times 3.14 \times r}\)

\(\longrightarrow\sf{34 = 6.28 \times r}\)

\(\longrightarrow\sf{ r = \dfrac{34}{6.28}}\)

\(\longrightarrow\sf{\underline{\underline{ r \approx 5.41}}}\)

Hence the radius of circle is 5.41 feet

\(\begin{gathered} \end{gathered}\)

Now, calculating the diameter of circle by substituting the given value in the formula :

\(\longrightarrow\sf{Diameter_{(Circle)} = 2r}\)

\(\longrightarrow\sf{Diameter_{(Circle)} = 2 \times r}\)

\(\longrightarrow\sf{Diameter_{(Circle)} \approx 2 \times 5.14}\)

\(\longrightarrow\sf{Diameter_{(Circle)} \approx 10.82}\)

Hence, the diameter of circle is 10.82 feet.

The value of x is 7/3, which can be rounded to two decimal places as approximately 2.33.

To solve the equation 2x + 8 + 4x = 22, we need to combine like terms and isolate the variable x.

Combining like terms, we have:

6x + 8 = 22

Next, we want to isolate the term with x by subtracting 8 from both sides of the equation:

6x + 8 - 8 = 22 - 8

6x = 14

To solve for x, we divide both sides of the equation by 6:

(6x) / 6 = 14 / 6

x = 14/6

Simplifying the fraction 14/6, we get:

x = 7/3

Therefore, the value of x is 7/3, which can be rounded to two decimal places as approximately 2.33.

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the vector equation for the line segment from (3, -4, 4) to (7, 2, 3) is:

r = <3, -4, 4> + t<4, 6, -1>

We can find a vector equation for the line segment by first finding the direction vector of the line segment, and then using it to write the equation in vector form.

The direction vector of the line segment is the difference between the two endpoints:

d = <7, 2, 3> - <3, -4, 4> = <4, 6, -1>

To write the vector equation in terms of the parameter t, we can use the parametric form of the equation of a line:

r = r_0 + td

where r is the position vector of a point on the line, r_0 is the position vector of a known point on the line (in this case, (3, -4, 4)), t is a scalar parameter, and d is the direction vector we just found.

Substituting the values we know, we get:

r = <3, -4, 4> + t<4, 6, -1>

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Answer:

y = 4/5 a

Step-by-step explanation:

If you look on the graph the points (5,4) and (10,8) are on the line.  In a proportional relationship, the slope of the line is y/x.  If you look at point (5,4) you see that the point is written in the form(x,y).  The 5 is the x and the 4 is the y.  If I put that in the form y/x we get 4/5 which is the slope.  

the same is true for the point (10.8), if I put that in the form y/x , we get 8/10 which simplifies to 4/5.  This is true for every point on the line.

Answer:

ο Neither is correct.

Step-by-step explanation:

1) the vertex has coordinates (5;-7) the equation must be made up according to the rule: y=(x-x₀)²-y₀, where (x₀;y₀) - the coordinates of the vertex;

2) according to the rule above the equation of the given graph is:

y=(x-5)²-7;

3) finally, 'neither is correct'

Answer:

25.2minute

Step-by-step explanation:

75ft^2=45 minutes

1 ft^2=45/75

and, 7ft*6ft=42ft^2

42ft^2=45*42/75

=25.2minutes

Hope you like the solution. I am not sure of the answer. Mark me as brainlist.

On soloing the provided question, we can say that an equation from the graphs for the function. 3x + 13.5y = 4.5 and x+1.5y = 2

Mathematicians use graphs to logically represent or chart facts or values. Typically, a graph point will show the relationship between two or more objects. A graph is a non-linear data structure made up of nodes, or vertices, and edges. The nodes, also known as vertices, should be joined with glue. This graph's vertices are 1, 2, 3, and 5, while its edges are 1, 2, 1, 3, 2, 4, and 2.5. (3.5). (4.5). Graphical depictions of exponential growth in statistical charts (bar charts, pie charts, line charts, etc.). triangle-shaped logarithmic graph.

an equation for the function.

3x + 13.5y = 4.5

and x+1.5y = 2

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To determine whether quality is associated with the source of the shipments, we need to test the competing hypotheses.

The competing hypotheses are as follows:

H0: Quality and source of shipment (vendor) are independent.
HA: Quality and source of shipment (vendor) are dependent.

To test these hypotheses, we can use a chi-square test for independence. The test statistic is calculated by comparing the observed frequencies with the expected frequencies under the assumption of independence.

b-1. To calculate the test statistic, we first need to create a contingency table with the observed frequencies of quality and source of shipment. Each cell in the table represents the count of shipments from a specific vendor with a specific quality.

For example, the table could look like this:

            | Vendor A | Vendor B | Vendor C
--------------------------------------------
Good Quality |   10     |   15     |   12
--------------------------------------------
Poor Quality |   20     |   25     |   18

Next, we calculate the expected frequencies assuming independence. The expected frequency for each cell is calculated by multiplying the row total by the column total and dividing by the total number of observations.

Finally, we calculate the chi-square test statistic by summing the squared differences between the observed and expected frequencies divided by the expected frequencies for each cell.

b-2. Once we have the test statistic, we can find the p-value associated with it. The p-value represents the probability of observing a test statistic as extreme as the one calculated, assuming the null hypothesis is true.

To find the p-value, we need to consult the chi-square table or use a statistical software. The p-value will indicate the strength of evidence against the null hypothesis. The smaller the p-value, the stronger the evidence against the null hypothesis.

Based on the given options, the p-value falls within the range of 0.01 ≤ p-value < 0.025. Therefore, we reject the null hypothesis and conclude that there is evidence to suggest that quality and source of shipment are dependent.

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Answer:

B

Step-by-step explanation:

The second graph is the correct choice because the y-intercept is two, the graph is negative, and has a slope of m=3/1.

Answer:

Answer is 69.08 m

Step-by-step explanation:

use formula 2 pie r

radius=diameter/2

=22/2

=11

therefore radius is 11

put the value of radius in the formula 2 pie r

pie=3.14

The number of trials is n = 10,000 and we want to find the probability of having fewer than 450 faulty toasters, which is equivalent to finding the probability of having 0, 1, 2, ..., 449 faulty toasters.

Using a binomial distribution calculator or software, we can find that the probability of having 0 faulty toasters is about 0.0379, the probability of having 1 faulty toaster is about 0.1584, the probability of having 2 faulty toasters is about 0.3095, and so on. If we add up all these probabilities for 0 to 449 faulty toasters, we get a total probability of about 0.9999.

Therefore, the probability of having fewer than 450 faulty toasters is about 0.9999 or 99.99%. This means that it is highly likely that fewer than 450 toasters need to be returned in a batch of 10,000.

I'll provide a general explanation using the given terms:

1. First, determine the defect or return rate. Let's assume it is given as "p" (e.g., 0.05 would represent a 5% defect rate).
2. Next, find the expected number of defective toasters in the batch by multiplying the total number of toasters (10,000) by the defect rate "p": Expected_Defects = 10,000 * p.
3. Then, use a statistical method, such as the binomial distribution or normal approximation, to calculate the probability of having fewer than 450 defective toasters. This will involve finding the cumulative probability (sum of probabilities) for 0 to 449 defective toasters.
4. Finally, the resulting probability will represent the chances that fewer than 450 toasters need to be returned in the batch of 10,000.

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Answer:

Step-by-step explanation:

Let the number be x

The statement

twice a number is written as

2x

The sum of twice a number and seven is written as

2x + 7

The result is 13

So we have

2x + 7 = 13

Subtract 7 from both sides

That's

2x + 7 - 7 = 13 - 7

2x = 6

Divide both sides by 2

That's

\( \frac{2x}{2} = \frac{6}{2} \)

We have the final answer as

Hope this helps you

the answer to your question would be D

Answer:

50 pounds.

Step-by-step explanation:

25000 / 500 = 50 pounds.

Answer:

50

Step-by-step explanation:

25,000 / 500 = 50

a. MRS = √(W/B)
b. Optimal bundle and total utility.
c. Adjusted income for constant utility.

a. The marginal rate of substitution (MRS) of walnuts for bananas is the rate at which you are willing to give up walnuts in exchange for one additional pound of bananas while keeping the utility constant. In this case, the MRS is equal to the ratio of the marginal utility of walnuts to the marginal utility of bananas. Since the utility function is U = √(W * B), the MRS can be calculated as MRS = √(W/B).

b. Using the Lagrangian approach, we can set up the following optimization problem: maximize U = √(W * B) subject to the constraint 2W + B = I, where W represents the pounds of walnuts, B represents the pounds of bananas, and I represents income. By solving the Lagrangian equation and the constraint, we can find the optimal consumption bundle and income level.

c. If the price of bananas doubles to $2 per pound, we need to determine the income required to maintain the same level of utility. With the new price, the constraint becomes 2W + 2B = I. By solving the Lagrangian equation again and substituting the new constraint, we can find the income level required to maintain the same level of utility.

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The function of the town's population is an exponential growth

From the question, we have the following parameters that can be used in our computation:

Initial population = 3800

Growth  rate = 2% every year

From the above, we understand that

There is a growth in the population by 2% every year

Using the above as a guide, we have the following:

This means that the function is an exponential growth

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Decision points

are represented in the flowchart using a diamond symbol. Answer: D. Diamond.

A

flowchart

is a kind of diagram that is used to represent an algorithm, workflow, or process. A flowchart comprises different shapes, which represent distinct steps or activities in a procedure. Flowcharts are used in different fields, such as education,

engineering

, programming, and business, to demonstrate decision making, problem-solving, process control, and project management.

Flowcharts are used to:

Visualize

processes and workflows that need to be organized or improved

Communicate a sequence of steps that are essential to complete a project

Identify the root cause of a problem

Illustrate the steps of a procedure to new employees or staff members

A decision point in a flowchart is a point where the sequence of flowchart changes its direction based on the

outcomes

of the preceding steps. Decision points are represented in the flowchart using a diamond symbol.

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Its components by their greatest common factor, which is 2:

To find a normal vector to the plane with the equation 8x - 14y - 6z = 0, we can simply read off the coefficients of x, y, and z and use them as the components of the normal vector. So, the normal vector is:

⟨8, -14, -6⟩

Note that this vector can be simplified by dividing all its components by their greatest common factor, which is 2:

⟨4, -7, -3⟩

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No, not all square numbers have an odd number of factors. In fact, square numbers can have either an odd or an even number of factors, depending on their prime factorization.

A square number is a number that can be expressed as the product of an integer multiplied by itself. For example, 4 is a square number because it can be written as 2 * 2.

When we analyze the factors of a square number, we find that each factor has a corresponding pair that multiplies to give the square number. For instance, the factors of 4 are 1, 2, and 4. We can see that the pairs are (1, 4) and (2, 2). Thus, 4 has an even number of factors.

However, there are square numbers that have an odd number of factors. Consider the square number 9, which is equal to 3 * 3. The factors of 9 are 1, 3, and 9. In this case, 9 has an odd number of factors.

In conclusion, while some square numbers have an odd number of factors (like 9), others have an even number of factors (like 4). The determining factor is the prime factorization of the square number.

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