Describe and correct the error a student made when responding to the following question. A website to post a blog about the most popular type of pet in the Seattle area. Would a sample consisting of every tenth ticket holding to the local dog show be representative? Explain.

Student answer: Yes, since the sample is systematic random sample, it would be representative of the population.

Answer:

a. should not be rejected

Step-by-step explanation:

H0 : σ² = 0.003

H1 : σ² > 0.003

We obtain the test statistic :

χ² = [(n - 1) * s²] ÷ σ²

s = sample standard deviation = 0.06

n = sample size = 26

σ² = 0.003

χ² = [(26 - 1) * 0.06²] ÷ 0.003

χ² = (25 * 0.06²) / 0.003

χ² = 30

Using the Pvalue from χ² calculator :

Pvalue = 0.2242

Using α = 0.05

Pvalue > α; we fail to reject the Null

Answer:

Step-by-step explanation:

Step-by-step explanation:

1) supplementary

2) complementary

3) neither

4) neither

5) supplementary

6) complementary

7) supplementary

8) neither

9) complementary

Using the ratio formula, the number of pomegranates is obtained as 29.

What is ratio?

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorise ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings.

The ratio of watermelons and pomegranates is 15 : 145.

The number of watermelons Ashley has = 3.

We can set up a proportion to solve the problem -

15/145 = 3/x

where x is the number of pomegranates Ashley has.

To solve for x, we can cross-multiply and simplify the equation -

15x = 435

x = 29

Therefore, Ashley has 29 pomegranates.

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Answer:

190 is 76% of 250

Step-by-step explanation:

We have, 76% × x = 190

Multiplying both sides by 100 and dividing both sides by 76,

we have x = 190 × 100/76

x = 250

If you are using a calculator, simply enter 190×100÷76, which will give you the answer.

The purchasing power in five years will be $15,476.

To predict the purchasing power in five years, we can substitute the value of X as 5 into the equation y = 20000(0.95)^X.

Plugging in X = 5, we have:

\(y = 20000(0.95)^5\)

Calculating the expression, we find:

\(y ≈ 20000(0.774)\)

Simplifying further, we get:

\(y ≈ 15480\)

Rounding the result to the nearest dollar, the predicted purchasing power in five years would be approximately $15,480.

Therefore, the closest option to the predicted purchasing power in five years is $15,476.

So the correct answer is:

$15,476.

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Rounding to the nearest dollar, the predicted purchasing power in five years is approximately $15,480.

To predict the purchasing power in five years using the given equation, we substitute the value of x (representing the number of years) as 5 and calculate the result.

The equation provided is: y = 20000(0.95)^x

Substituting x = 5 into the equation, we have:

y = 20000(0.95)⁵

Now, let's calculate the result:

y ≈ 20000(0.95)⁵

≈ 20000(0.774)

y ≈ 20000(0.774)

≈ 15,480

This means that, according to the given equation, the purchasing power of $20,000, with an inflation rate of five percent, would be predicted to be approximately $15,480 after five years.

By changing the value of x (representing the number of years) to 5, we can use the preceding equation to forecast the buying power in five years.

The example equation is: y = 20000(0.95)^x

When x = 5 is substituted into the equation, we get y = 20000(0.95).⁵

Let's now compute the outcome:

y ≈ 20000(0.95)⁵ ≈ 20000(0.774)

y ≈ 20000(0.774) ≈ 15,480

This indicates that based on the equation, after five years, the purchasing power of $20,000 would be estimated to be around $15,480 with a five percent inflation rate.

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Answer: Maryanne's conjecture could have been that the perimeter of the image of the triangle will be the same as the perimeter of the original triangle.

Step-by-step explanation:

Answer:

a) The trains will be 1520 km apart at 2:40 pm for the cargo train and at 4:40 pm for the passenger train.

b) At that time the cargo train has traveled 560.04 km and the passenger train has traveled 960.12 km.

Step-by-step explanation:

a) First, we need to find the distance traveled by the cargo train in the two hours before the passenger train leaves Chicago:

\( x_{1} = v_{1}t_{1} = 120 km/h*2h = 240 km \)                    

Now, we can find the time when the trains will be 1520 km apart:

\( 1520 km = (x_{1} + 240 km) + x_{2} \)      

Where 1 is for the cargo train and 2 is for the passenger train.

\( 1520 km = (v_{1}*t_{1} + 240 km) + v_{2}t_{2} \)      

Since we need to calculate the time when the trains are 1520 km apart, t₁ = t₂, so:

\( 1520 km = (v_{1}*t + 240 km) + v_{2}t \)              

\(t = \frac{1520 km - 240 km}{120 km/h + 360 km/h} = 2.667h\)

For the cargo train, it will be 1520 km apart from the passenger train at:

\(t_{1} = 12 pm + 2 h + 40 min = 2:40 pm\)

And for a passenger train, it will be 1520 km apart from the cargo train at:

\(t_{2} = 2 pm + 2 h + 40 min = 4:40 pm\)  

Hence, the trains will be 1520 km apart at 2:40 pm for the cargo train and at 4:40 pm for the passenger train.  

b) The distance traveled by both trains is given by:

\( x_{1} = v_{1}*t + 240 km = 120 km/h*2.667 h + 240 km = 560.04 km \)    

\( x_{2} = v_{2}*t = 360 km/h*2.667 h = 960.12 km \)    

Therefore, at that time the cargo train has traveled 560.04 km and the passenger train has traveled 960.12 km.

I hope it helps you!        

Answer:

37,500

Step-by-step explanation:

If the airplane is climbing, that means that it is gaining altitude. The integer would be positive, and the 37,500 feet gives us the number. The answer is 37,500 feet.

Rollaway Skates is cheaper when the number of people is less than or equal to 4. For example, the cost for 2 people at Rollaway Skates is $10, while the cost for 2 people at Wheelie's Skates and Stuff is $106.

Wheelie's Skates and Stuff is cheaper when the number of people is greater than or equal to 5. For example, the cost for 6 people at Rollaway Skates is $30, while the cost for 6 people at Wheelie's Skates and Stuff is $118.

I hope this helps! Do you have any other questions?

Answer:

The intensity of the 2011 earthquake was about 6 times the intensity of the 2003 earthquake.

Step-by-step explanation:

To compare the intensities, we first need to convert the magnitudes to intensities using the log formula. Then we will set up a ratio to compare the intensities.

Convert the magnitudes to intensities and write them in exponential form.

R=logI

2011 earthquake:

9.1I=logI=109.1

2003 earthquake:

8.3I=logI=108.3

Form a ratio of the intensities.

intensity for 2011intensity for 2003

Substitute in the values and divide by subtracting the exponents to find

109.1108.3100.8≈6.

The intensity of the 2011 earthquake was about 6 times the intensity of the 2003 earthquake.

Your answer:

The intensity of the 2011 earthquake was about 15 times the intensity of the 2003 earthquake.

The intensities of the two earthquakes will be 6.3095.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

In 2011, Japan encountered a serious quake with an extent of 9.1 on the Richter scale. In 2003, Japan encountered another extraordinary seismic tremor that deliberate 8.3 on the Richter scale.

The intensity of the earthquake is given as,

㏒ (I₁ / I₂) = M₁ - M₂

㏒ (I₁ / I₂) = 9.1 - 8.3

Simplify the equation, then we have

㏒ (I₁ / I₂) = 9.1 - 8.3

㏒ (I₁ / I₂) = 0.8

Take anti log, then we have

(I₁ / I₂) = 6.3095

The intensities of the two earthquakes will be 6.3095.

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Answer: y= 7/6x-5

Step-by-step explanation:

The equations of parallel lines have the same slope or rates.

The equation of the line parallel to \(\mathbf{6x + 7y = -49}\) is \(\mathbf{y = -\frac 67(x - x_1) + y_1}\)

The equation is given as:

\(\mathbf{6x + 7y = -49}\)

Make 7y the subject

\(\mathbf{7y = -6x-49}\)

Make y the subject

\(\mathbf{y = -\frac{6}{7}x -7}\)

A linear equation is represented as:

\(\mathbf{y =mx + b}\)

Where m represents the slope.

So, we have:

\(\mathbf{m = -\frac 67}\)

Parallel lines have the same slope.

So, the slope of the line is \(\mathbf{m = -\frac 67}\)

The equation is then calculated as:

\(\mathbf{y = m(x - x_1) + y_1}\)

Substitute \(\mathbf{m = -\frac 67}\)

\(\mathbf{y = -\frac 67(x - x_1) + y_1}\)

Hence, the equation of the line parallel to \(\mathbf{6x + 7y = -49}\) is \(\mathbf{y = -\frac 67(x - x_1) + y_1}\)

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The equation used to find the total mileage, m, that will make the cost, p, of renting a moving truck for one day equal at each rental company is 45 miles

Mega movers:

Fixed cost per day = $19.50

Additional cost per mileage = $0.95

p = 19.50 + 0.95m

U-move:

Fixed cost per day = $42.00

Additional cost per mileage =$0.45

p = 42.00 + 0.45m

19.50 + 0.95m = 42.00 + 0.45m

0.95m - 0.45m = 42.00 - 19.50

0.50m = 22.50

m = 22.50 / 0.50

m = 45 miles

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Answer:

8 miles he will walk in 2 hours

Step-by-step explanation:

This is because there are four 15 minute sets in one hour meaning in two hours you will encounter 8 of these sets.

Answer:

8 miles

Step-by-step explanation:

we can get the answer using the distributive property, if we multiply 4 by 15 we get 60 and 60 minutes is an hour so if we do that twice we get 2 hours so now that we've done that we will do the same with the mileage by multiplying the amount we did to the time to the distance and we get 8 miles

Answer:

ithink 2

Step-by-step explanation:

Because if you devide the 6 in 3 the total of group of boys in each groups is 2

Answer:

im a curious cat lolololol

Step-by-step explanation:

Answer: \(\frac{88}{7}\)

Step-by-step explanation:

The circumference of the outer circle is 48pi and the circumference of the inner circle is 44pi. 48pi - 44pi = 4pi. 4 x \(\frac{22}{7}\) = \(\frac{88}{7}\).

To support her discussion, it would be best for Alex to use Graph A for her presentation. Alex should use this graph for her presentation because the number of faulty products appears to decrease less on this graph.

In Mathematics and Geometry, a steeper slope simply means that the slope of a line is bigger than the slope of another line. This ultimately implies that, a graph with a steeper slope has a greater (faster) rate of change in comparison with another graph.

In order to determine an equation with a declining line, we would have to determine the slope of each line graphically and then taking note of the line with a negative rate of change (slope) because it indicates a decreasing function.

In this context, we can reasonably infer and logically deduce that Graph A is more suited for Alex's presentation because the number of faulty products appears to decrease less on it.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total, resulting in a total of 16 head wraps.

Expression in mathematics is a combination of symbols and numbers, often using an operation, such as addition, subtraction, multiplication, or division. It can represent a number, a variable, a function, or a mathematical statement. It can also represent a combination of these things. Expressions are used to describe relationships between numbers, variables, and mathematical concepts.

The expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and there are 2 shelves in total. This expression can be used to calculate the total number of head wraps on the shelves by multiplying 8 (the number of head wraps per shelf) by 2 (the number of shelves). As such, the expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total, resulting in a total of 16 head wraps.

In conclusion, the expression 8x2 can be used to calculate the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total. By multiplying 8 (the number of head wraps per shelf) by 2 (the number of shelves), the total number of head wraps on the shelf can be found, resulting in a total of 16 head wraps.

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Complete questions as follows-
In which situation can the Expression
on 8×2 be used to find the total number of head wraps on the shelf?

Answer:

10.) y=-3x+5

11.) y= -1/2 x+2

Step-by-step explanation:

step by step attchaed below

The recursive formula for this problem is given as follows:

\(P_n = 1.05 \times P_{n - 1}\)

The explicit formula for this problem is given as follows:

\(P_n = 150(1.05)^n\)

The number of tickets in 2026 is given as follows:

297 tickets.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number which is defined as the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n}\)

In which \(a_1\) is the first term.

The parameter values for this problem are given as follows:

\(a_1 = 150, q = 1.05\)

Hence the function is given as follows:

\(P_n = 150(1.05)^n\)

2026 is 14 years after 2012, hence the number of tickets is given as follows:

\(P_{14} = 150(1.05)^{14} = 297\)

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The solution to whether the given parameter is a binomial random variable is;

B: No. There is not a fixed number of trials.

A binomial random variable is a number of successes in an experiment consisting of N trails.

Some of the conditions for a binomial random variable are;

- Can only have two outcomes(yes/no questions).

- Each trial must be independent, that is, the probability of a success is always the same in a trial, and the number of trials is fixed.

- It's probabilities must be between 0 and 1.

For each person, there are only two possible outcomes. It's either they are screened, or not.

However, we don't want to know the number of people screened, which is binomial, we want to know the number of people until 10 are screened, which is inverse binomial. Thus, due to the fact that there is not a fixed number of trials, this is not binomial, and the answer is given by option B.

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9514 1404 393

Answer:

  sec(A) = -(1/5)√74

Step-by-step explanation:

Solving the equation for y, we have ...

  -7x = 5y

  -7/5x = y

The slope of this line (-7/5) is the tangent of the angle (A) it makes with the x-axis. The secant satisfies the relation ...

  sec(A)^2 = 1 + tan(A)^2

  sec(A) = √(1 +tan(A)^2)

  sec(A) = -√(1 +(-7/5)^2) = -√(74/25) . . . . secant is negative in 2nd quadrant

  sec(A) = -(1/5)√74

The required Probabilities of type of blood are A) 0.029791, B) 0.328509, C) 0.671491.

A: event that a person has type A positive blood

A': event that a person does not have type A positive blood

We know that P(A) = 0.31, which means P(A') = 0.69.

A) To find the probability that all three people have type A positive blood, we use the multiplication rule for independent events:

P(A and A and A) = P(A) x P(A) x P(A) = 0.31 x 0.31 x 0.31 = 0.029791.

B) To find the probability that none of the three people have type A positive blood, we use the multiplication rule for independent events again:

P(A' and A' and A') = P(A') x P(A') x P(A') = 0.69 x 0.69 x 0.69 = 0.328509.

C) To find the probability that at least one of the three people have type A positive blood, we can use the complement rule:

P(at least one A) = 1 - P(none have A) = 1 - 0.328509 = 0.671491.

Alternatively, we could find this probability directly by considering the three possible cases where at least one person has type A positive blood:

one person has A and two do not: P(A and A' and A') x 3 = 0.31 x 0.69 x 0.69 x 3

two people have A and one does not: P(A and A and A') x 3 = 0.31 x 0.31 x 0.69 x 3

all three have A: P(A and A and A) = 0.029791

Then, we add up these probabilities:

P(at least one A) = (0.31 x 0.69 x 0.69 x 3) + (0.31 x 0.31 x 0.69 x 3) + 0.029791 = 0.671491.

D) The event of all three people having type A positive blood (0.029791) can be considered unusual because it has a low probability. If we define "unusual" as an event with probability less than or equal to 0.05, then this event meets that criterion. However, whether an event is considered unusual or not can depend on the specific context and criteria chosen.

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Complete question:

Answer: A) 6 B) 19.5

Step-by-step explanation:

A) 2,4,6,8,10

B) 8+16+30+24=78

78/4=19.5

Let me known if question b was right

Answer:

Step-by-step explanation:

T1 = 20

Tn = T(n-1)*3

Given geometric sequence is,

20, 60, .......

Recursive formula of the geometric sequence is given by,

a₁ = First term of the sequence

\(T_n=T_(n-1)\times r\)

\(T_n=\) Successive term of the sequence

\(T_{n-1}=\) Previous term of the sequence

r = common ratio

Here, \(r=\frac{\text{2nd term}}{\text{1st term}}=\frac{60}{20}\)

r = 3

Therefore, \(T_n=T{(n-1)}\times 3\)

Therefore, recursive formula of the sequence is,

\(a_1=20\)

\(T_n=3(T_{n-1})\)

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Answer:yes!

Step-by-step explanation:

Answer:

correct

Step-by-step explanation:

The Mean Value Theorem states that there exists a point c in the interval (a,b) such that f'(c) equals the function's average rate of change throughout [a,b] if a function f is continuous on the closed interval [a,b] and differentiable on the open interval (a,b).

The Mean Value Theorem states that if a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then at some point c on the interval (a, b), f'(c) must equal the function's average rate of change over [a, b].

There is at least one point on a planar arc between two endpoints where the tangent to the arc is parallel to the secant between its ends.

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The complete question is: Explain why the Mean Value Theorem does not apply to the function on the interval [0,6].