the blue catfish (ictalurus furcatus) is the largest species of north amercian catfish. the current world record stands at 143 pounds, which was caught in the john h. kerr reservoir (bugg's island lake) located in virginia. according to amercian expedition, the average weight of a blue catfish is between 20 to 40 pounds. given that the largest blue catfish ever caught was at the john h. kerr reservoir, you believe that the mean weight of the fish in this reservoir is greater than 40 pounds. a) if you going to test this claim at the 0.05 significance level, what would be your null and alternative hypotheses?

Answer:

2

Step-by-step explanation:

Let Ishan’s age equal an unknown quantity we’ll call “x”.

An age 4 times Ishan’s would be 4 times x, written “4x”.

An age 6 years older than Ishan’s would be written “x+6”.

Now, through the magic of algebra, we can write an equation: 4x = x+6 . This means that “four times Ishan’s age is equal to his age plus six.”

The magic continues: you can subtract an”x” from each side of the equation. You can subtract any quantity from either side, but subtracting”x” will leave 6 on the right and “3x” on the left: 3x = 6.

Divide both sides by the same quantity: 3.

This will give you x =2. This indicates Ishan’s age is 2.

Answer:

Ishaan is 2 years old.

Step-by-step explanation:

We can create a systems of equations for this, assuming b is Ben's age and i is Ishaan's age.

\(b = 4i\)

\(b = i+6\)

Let's solve via substitution.

\(4i = i+6\)

Subtract i from both sides:

\(3i = 6\)

Divide both sides by 3:

\(i = 2\)

So Ishaan is 2 years old. Ben is:

\(4(2) = 8\) years old.

Hope this helped!

Answer:

20-3y is the right answer by opening the bhracket

see the attachment

Answer:

\( \dashrightarrow - 4 {x}^{ - 2} y( {2yx}^{3} + {6xy}^{3} - {3y}^{3} {x}^{4} ) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \dashrightarrow \{- 8 {x}^{( - 2 + 3)} {y}^{(1 + 1)} \} + \{ - 24 {x}^{ (- 2 + 1)} {y}^{(3 + 1)} \\ + \{12 {x}^{( - 2 + 4)} {y}^{(1 + 3)} \} \\ \\ \dashrightarrow{ \boxed{ \tt{ - 8x {y}^{2} - 24 {x}^{ - 1} {y}^{4} + 12 {x}^{2} {y}^{4} }}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)

The number of calories burned y after x minutes of kayaking is

You should know when we eat and drink more calories than we use up, our bodies store the excess as body fat. If this continues, over time we may put on weight

For kayaking Linear function is y=4.5x

In 45 minute means  x=45

so, y=4.5x

45*45

= 20.25

That means in kayaking will  burnt 20.25 calories in 45

minutes

Therefore, hiking burns more calories.

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No, statistics and quantitative data are not necessarily more valid and objective than qualitative research.

While quantitative data can provide precise numerical measurements, it may not capture the full complexity of a particular phenomenon or experience. Qualitative research, on the other hand, can offer rich and nuanced insights into human behavior and attitudes. It allows for a deeper understanding of the context and meaning behind the data.

Ultimately, the choice between quantitative and qualitative research depends on the research question and the goals of the study. Both methods have their strengths and limitations, and it is important to consider them carefully when designing a study.

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Step-by-step explanation:

Factor 3n³−12n²−30n

3n³−12n²−30n

=3n(n²−4n−10)

The probability of rolling a number less than 4 will be 1/4.

The term probability refers to the likelihood of an event occurring.

Given that;

A twelve-sided die with sides labeled 1 through 12 will be rolled once.

Each number is equally likely to be rolled.

Now,

Since, A twelve-sided die with sides labeled 1 through 12 will be rolled once.

Each number is equally likely to be rolled.

Hence, The possible number less than 4 are 1, 2, 3

So, The probability of rolling a number less than 4 = 3/12

                                                                                = 1/4

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AB is not perpendicular to CD

Perpendicular lines are two separate lines that cross one other at a right angle, or a 90° angle. Example: Because AB and XY overlap at a 90° angle, AB is perpendicular to XY in this instance.

Lines that cross one other at an angle are known as perpendicular lines. Their slopes are the reciprocal opposites of one another.

Given A (-2, 4, 0),B(1, 1, 1),C(2, 3, 4),D (3, 21, -8)

(-1,3,-1) for AB

(-1,-18,12) for CD

For the lines AB and CD to be perpendicular

a 1a2+b1b2+c1c2=0

-1(-1)+3(-18)+(-1)(12)

=1-54−12=-65not equal to 0

∴ AB not perpendicular to CD

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If a washer and dryer cost $750 and the cost of the washer is two times the cost of the dryer, then the cost of the dryer $250

The total cost of a washer and dryer combined = $750

The cost of the dryer = x

The cost of the washer is two times the cost of the dryer.

The cost of the washer = 2x

Then the equation will be

x + 2x = 750

Add the like terms of the equation

3x = 750

Move 3 to the right hand side of the equation

x = 750/3

x = $250

Hence, if a washer and dryer cost $750 and the cost of the washer is two times the cost of the dryer, then the cost of the dryer $250

The complete question is:

A washer and dryer cost $750 combined the cost of the washer is two times the cost of the dryer what is the cost of the dryer?

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Answer:

x=0 or 5

Step-by-step explanation:

Answer:

x = 5 or 0

Step-by-step explanation:

The required area of the of room is 96 sq meter and its perimeter is 40 meter.

The area of room is the product  of the length and breadth of that room. Its unit is square meter.

breadth is defined as the sum of all sides of the room, Its unit is meter.

we have, ratio length/breadth = 3x/2x,

then length = 3x, breadth = 2x

given that, length of room is 12m

So, 3x = 12

x = 4

then, length = 3×4 = 12m, breadth = 2×4 = 8m

i) perimeter = 2(L + B) = 2(12+8) = 2(20) = 40 m

and

ii) area of the room = L×B = 12×8 = 96 sq. meter

Thus, area and perimeter of the room are 96 and 40 respectively.

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Answer:

Top Left

Their the straight line

Answer:

4 -1

Step-by-step explanation:

Tis' big brain time

The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).

To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.

First, let's calculate the Z-score using the formula:

Z = (X - μ) / σ

Where:

X = consumption rate per day (1,155 pills)

μ = average consumption rate per day (1,155 pills)

σ = standard deviation (81 pills)

Z = (1,155 - 1,155) / 81

Z = 0

Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.

We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.

To find the probability of running out of sleeping pills, we subtract this probability from 1:

Probability of running out of sleeping pills = 1 - 0.5000

Probability of running out of sleeping pills = 0.5000

Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.

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Answer:

yes

Step-by-step explanation:

send the questions....

f is inversely proportional to √ g . When f = 8 , g = 25 Work out f when g = 16

By question , f is inversely proportional to square root of g. In mathematical form ,

\(\implies f \propto \dfrac{1}{\sqrt g}\)

Let k be constant . So that ,

\(\implies f =k \dfrac{1}{\sqrt g}\)

When f = 8 , g is 25. So that ,

\(\implies 8= k\dfrac{1}{\sqrt {85}}\)

\(\implies k = 8\sqrt{25} \)

Hence the value of constant is 8√25.

So that when g is 16 ,

\(\implies f = 8\sqrt{25} \times 1/ \sqrt{16}\\\\\implies f = 8*5 / 4 \\\\\implies \boxed{ f = 10 } \)

Hence the Value of f is 10 .

When dealing with the simultaneous occurrence of two events A and B, the probability can be determined by using the probability of one event and the conditional probability of the other event given that the first event has occurred. Both P(A) * P(B|A) and P(B) * P(A|B) are valid ways to calculate this probability.

The concept of probability is fundamental in various fields such as mathematics, statistics, and even in everyday life. The probability of the simultaneous occurrence of two events A and B is a critical concept in probability theory. According to the definition, the probability of A and B occurring at the same time is equal to the probability of A multiplied by the conditional probability of B given that A has occurred. This equation is also valid in the reverse case, where the probability of B and A occurring simultaneously is equal to the probability of B multiplied by the conditional probability of A given that B has occurred.

Understanding the relationship between the probability of two events and their conditional probabilities is essential in predicting the likelihood of these events happening together. In real-life situations, this concept can be used to determine the probability of two events such as the success of a product launch and the corresponding increase in sales. The probability of these two events occurring simultaneously can be predicted by analyzing the probability of the product launch's success and the conditional probability of sales increasing given that the product launch is successful.

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The distribution of a continuous uniform is f(x) = 1/10

The average time that he has to wait is E[X] = 5

What is continuous uniform distribution?

The continuous uniform distribution is the probability distribution of random number selection from the continuous interval between a and b.

f(x) = 1/(b-a) is the formula of continuous uniform distribution.

What is average?

an average of a list of data is the expression of the central value of a set of data. Mathematically, it is defined as the ratio of summation of all the data to the number of units present in the list. In terms of statistics, the average of a given set of numerical data is also called mean.

A) Given, the time between the successive buses is fixed and that is 10 minutes.

Therefore, the distribution is

The buses arrive always on time every 10' thus the distribution is uniform in [0;10] The density of a continuous uniform is

()=1/−=1/10−0=110

B) Its expectation ( the average time he has to wait) is

()=+/2=0+10/2=5.

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Answer:

y = 11

x = 8.6

Step-by-step explanation:

The small triangle with 30,32,y looks like right triangle

so according to formula a^2 + b^2 = c^2

so 30^2 + y^2 = 32^2

900 + y^2 = 1024

y^2 = 124 => y = 11

The larger triangle also looks like a right triangle

so according to formula a^2 + b^2 = c^2

(30 + 10)^2 + 22^2 = (32 + x)^2

1600 + 44 = (32 + x)^2

so (x + 32)^2 = 1644

x + 32 = 40.55

x = 40.55 = 32 = 8.55 = 8.6

Answer:

25.7

Step-by-step explanation:

Hope this helps.

Answer:

25 2/3

Step-by-step explanation:

The volume of the rectangular box can be represented as 4w²h.

To find the volume of a rectangular box, you need to multiply the width, height, and length. Given that the base length (l) is four times the width (w), we can represent the length as l = 4w. Let's use the given variables w, h, and l to denote the width, height, and length, respectively.

Write the formula for the volume of a rectangular box.
Volume = width × height × length
Replace the length (l) with the expression in terms of width (w).
Volume = w × h × (4w)
Simplify the expression.
Volume = 4w²h
The volume of the rectangular box can be represented as 4w²h, where w is the width, h is the height, and l is the length, which is four times the width.

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Answer:

\(\dfrac{2}{3}\)

Step-by-step explanation:

To find the scale factor of the dilation of a figure, simply divide the x-value (or y-value) of a vertex of the dilated image Q'R'S'T' by the x-value (or y-value) of the corresponding vertex of the pre-image QRST.

\(\implies \sf Scale\;factor=\dfrac{x_{Q'}}{x_{Q}}=\dfrac{-2}{-3}=\dfrac{2}{3}\)

\(\implies \sf Scale\;factor=\dfrac{y_{T'}}{y_{T}}=\dfrac{4}{6}=\dfrac{2}{3}\)

Therefore, the scale factor is 2/3.

To find the scale factor of the dilation of a figure, first find the lengths of corresponding sides using the distance formula.

\(\boxed{\begin{minipage}{7.4 cm}\underline{Distance between two points}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the two points.\\\end{minipage}}\)

From inspection of the given diagram:

\(\implies QR=\sqrt{(x_R-x_Q)^2+(y_R-y_Q)^2}\)

\(\implies QR=\sqrt{(3-(-3))^2+(6-9)^2}\)

\(\implies QR=\sqrt{(6)^2+(-3)^2}\)

\(\implies QR=\sqrt{36+9}\)

\(\implies QR=\sqrt{45}\)

\(\implies QR=3\sqrt{5}\)

From inspection of the given diagram:

\(\implies Q'R'=\sqrt{(x_{R'}-x_{Q'})^2+(y_{R'}-y_{Q'})^2}\)

\(\implies Q'R'=\sqrt{(2-(-2))^2+(4-6)^2}\)

\(\implies Q'R'=\sqrt{(4)^2+(-2)^2}\)

\(\implies Q'R'=\sqrt{16+4}\)

\(\implies Q'R'=\sqrt{20}\)

\(\implies Q'R'=2\sqrt{5}\)

To find the scale factor of dilation that maps QRST onto Q'R'S'T', divide the length of Q'R' by the length of QR:

\(\implies \dfrac{Q'R'}{QR}=\dfrac{2\sqrt{5}}{3\sqrt{5}}=\dfrac{2}{3}\)

Therefore, the scale factor is 2/3.

Confidence interval refers to a statistical measure that helps quantify the amount of uncertainty present in a sample's estimate of a population parameter.

This measure expresses the degree of confidence in the estimated interval that can be calculated from a given set of data. In this scenario, the task is to build a 95% confidence interval for the regression line's slope. The regression analysis output has already been given. According to the output given, the estimated regression model is:y = 25,000 + 9,000 x, where x represents the number of miles the car has been driven and y represents the car's selling price.

The formula to calculate the 95% confidence interval for the slope is:Slope ± t · SE, where Slope is the point estimate for the slope, t represents the critical t-value for a given level of confidence and degrees of freedom, and SE represents the standard error of the estimate. The value of t can be calculated using the degrees of freedom and a t-table. Here, the number of pairs in the sample size is 20, and the model uses two parameters.

Therefore, the degrees of freedom would be 20 - 2 = 18.The critical t-value for a 95% confidence interval and 18 degrees of freedom is 2.101. Using the formula given above, we can calculate the 95% confidence interval for the slope as follows:Slope ± t · SE= 9000 ± (2.101)(700) ≈ 9000 ± 1,467.7 = [7,532.3, 10,467.7]Therefore, the 95% confidence interval for the slope is [7,532.3, 10,467.7]. This means that we are 95% confident that the true value of the slope for this model falls within the interval [7,532.3, 10,467.7].

It implies that the price of the car increases by $7,532.3 to $10,467.7 for each mile driven by the car. In conclusion, a 95% confidence interval has been calculated for the regression line's slope, which indicates that the actual slope of the model lies between the range [7,532.3, 10,467.7].

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Answer:

81%  or .81

Explanation:

243 ÷ 300 = .81

Percent: A number ratio expressed as a fraction of 100

Thus, 25% means 25 out of 100.

25 out of 100 = 25/100

Greatest common factor of 25 and 100 = 25

25 / 25 = 1

100 / 25 = 4

Answer: 1 / 4

Hope this helps!

The correct null hypothesis in the given situation is:

(A) H0: p = 0.27; Ha: p > 0.27

Any variation between the selected attributes that you observe in a collection of data is thought to be the result of chance, according to the null hypothesis.

For instance, any discrepancy between the average profits in the data and zero is caused by chance if the expected earnings for the gambling game are actually equal to zero.

So, the population proportion serves as the parameter.

The American Academy of Periodontology found that 27% of US individuals admit to lying to their dentist about how frequently they floss their teeth.

So, the following is the null hypothesis:

H0: p = 0.27

Dr. Garcia, a periodontist, thinks that the percentage should be higher than 27% since he feels it is too low.

Consequently, the competing theory is:

H0: p > 0.27

Therefore, the correct null hypothesis in the given situation is:

(A) H0: p = 0.27; Ha: p > 0.27

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Complete question:

The American Academy of Periodontology released a survey, revealing that 27% of US adults admit they lie to their dentist about how often they floss their teeth. Periodontist Dr. Garcia believes that the percentage seems low, so he decides to conduct his own hypothesis test to determine the true proportion. What should he write as the null and alternative hypotheses for this situation?

Answer Options:

A: H0: p = 0.27; Ha: p > 0.27

B: H0: p = 0.27; Ha: p < 0.27

C: H0: p = 0.27; Ha: p ≠ 0.27

D: H0: μ = 0.27; Ha: μ > 0.27

E: H0: μ = 0.27; Ha: μ < 0.27

Answer:

-1+2p)(3-4p)=

Step-by-step explanation:

is the best one

can i be marked brainlest plz

Negative leading coefficient. Therefore it is the downward paeabola.

Discriminant of -40 therefore the parabola does not touch x-axis

so the answer is 1.

Answer:

b = -4

Step-by-step explanation:

Divide by 2:

b + 12 = 8

b = -4

Answer:

B = -4

Step-by-step explanation:

Take,

-4 + 12 = 8

Then,

8 x 2 = 16.