pls help asap ಠ╭╮ಠ i need your help plssssss

The critical value for this two-tailed test is 2.6759.

To conduct a two-tailed test at the 0.01 level of significance with a sample of 55 observations, we use the t-distribution because the population standard deviation is unknown. The critical value is determined by dividing the significance level (0.01) by 2 to account for both tails of the distribution. This gives an alpha level of 0.005. Using the degrees of freedom for a sample of size 55 (54 degrees of freedom), we find the corresponding critical value from a t-distribution table or calculator. In this case, the critical value is approximately 2.6759 when rounded to four decimal places.Since the population standard deviation is unknown, we'll use the t-distribution instead of the standard normal distribution. The degrees of freedom for a sample of size 55 is 54. Using a t-distribution table or a statistical calculator, the critical value for an alpha level of 0.005 and 54 degrees of freedom is approximately 2.6759 (rounded to four decimal places).

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Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

\(M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\\\)

From the question the points are

A(-2, 3), B(5,-1)

The midpoint is

\(M = ( \frac{ - 2 + 5}{2} \: , \: \frac{3 - 1}{2} ) \\ = ( \frac{3}{2} \: , \: \frac{2}{2} )\)

We have the final answer as

\(( \frac{3}{2} \: , \: 1) \\ \)

Hope this helps you

The approximate (x,y) coordinates of the point are (-0.6536, -0.7568) to 4 decimal places.

To compute the (x,y) coordinates of a point at an angle of 4 radians on a circle of radius 3 centered at the origin, we can use the following steps:

Recall that the equation for a circle centered at the origin is x^2 + y^2 = r^2, where r is the radius.

Plug in the given values to get x^2 + y^2 = 3^2 = 9.

Use the angle and the trigonometric functions cosine and sine to find the (x,y) coordinates. Since the angle is measured from the positive x-axis counterclockwise, we can use cosine to find the x-coordinate and sine to find the y-coordinate.

The cosine of 4 radians is cos(4) = -0.6536 (rounded to 4 decimal places).

The sine of 4 radians is sin(4) = -0.7568 (rounded to 4 decimal places).

Substitute these values into the equation for the circle to find the x and y coordinates:

x^2 + y^2 = 9

(-0.6536)^2 + (-0.7568)^2 = x^2 + y^2

0.4273 + 0.5735 = x^2 + y^2

1.0008 ≈ x^2 + y^2

Taking the square root of both sides yields sqrt(1.0008) ≈ sqrt(x^2 + y^2)

Therefore, the approximate (x,y) coordinates of the point are (-0.6536, -0.7568) to 4 decimal places.

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Answer:

Option B

Step-by-step explanation:

Domain of a function is the set of x-values or input values.

Similarly, Range of a function is the set of y-values of output values.

From the graph attached,

Function is defined for all x-values (For all real numbers).

Therefore, domain of the function is {x | x ∈ R}

Option B will be the answer.

Answer:x is all real numbers

Step-by-step explanation:

There are 216 possible outcomes for each trial of rolling three standard dice.

In probability theory, an outcome is defined as the result of a single experiment or trial. The total number of outcomes in a trial can be determined by the multiplication principle, which states that if there are m ways to do one thing, and n ways to do another, then there are m x n ways to do both.

In this case, Michelle is rolling three standard dice simultaneously, which means that there are six possible outcomes for each die. Therefore, the total number of outcomes for a single trial is calculated by multiplying the number of outcomes for each die. Using the multiplication principle, we get:

Number of outcomes for each die = 6

Total number of outcomes for a single trial = 6 x 6 x 6 = 216

It is important to note that not all outcomes are equally likely, and the probability of getting a specific outcome can be calculated by dividing the number of favorable outcomes by the total number of outcomes.

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Answer:

We're given a least-squares regression equation that we can use to predict weight (in kilograms) from a given length (in centimeters). The question asks to predict the weight of a fish that is 70cm long, so let's plug in 70 for "length" and solve for the predicted weight: logweight = 3.08  (log length) -5.07

(logweight) 3.08 (log 70) - 5.07

(logweight) ≈ 3.08 (1.84) - 5.07

log weight ≈ 0.613

Next, we use the fact that these are base 10 logarithms and the definition of a logarithm to solve for the predicted weight:

log₁₀ (weight) ≈ 0.613

Taking logarithms on both sides

weight ≈ 10₀.₆₁₃

weight ≈ 4.1

According to this model, the predicted weight for a 70 cm long Florida bass is about 4.1kg.

​

The mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).

We have,

In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.

To find the mean absolute deviation (MAD), we need to first calculate the mean of the given data set:

mean = (4 + 5 + 7 + 9 + 8) / 5 = 6.6

Next, we calculate the deviation of each data point from the mean:

|4 - 6.6| = 2.6

|5 - 6.6| = 1.6

|7 - 6.6| = 0.4

|9 - 6.6| = 2.4

|8 - 6.6| = 1.4

Then we find the average of these deviations, which gives us the mean absolute deviation:

MAD = (2.6 + 1.6 + 0.4 + 2.4 + 1.4) / 5 = 1.6

Therefore, the mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).

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Matching the formulas and their respective definitions are;

W/t = Power

F/d = Work

(v₂-V₁)/t = Acceleration

m/v = Density

d/t = Speed

ma = Force

A) W/t

This means work done divided by the time taken. This results in an expression called Power.

B) F/d

This means force divided by the distance. This results in an expression called Work.

C)  (v₂-V₁)/t

This means change in velocity divided by time. This results in an expression known as acceleration.

D) m/v

This means mass divided by volume. This results in an expression known as density.

E) d/t

This means distance divided by time and this results in an expression called "speed"

F) ma

This means mass multiplied by the acceleration and this results in an expression called Force.

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The complete compound inequality is 9 <= 1.5x <= 12

From the given figure, we have'

Height = x

Base = 3

The area of a triangle is

Area = 0.5 * Base * Height

So, we have

A = 0.5 * 3 * x

Evaluate

A = 1.5x

The compound inequality is given as

9 <= A <= 12

Substitute A = 1.5x in 9 <= A <= 12

9 <= 1.5x <= 12

Hence, the complete compound inequality is 9 <= 1.5x <= 12

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Answer:

The probability that exactly 4 of them favour the new building project is 0.0768

what is Probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Step-by-step explanation:

We would assume a binomial distribution for the number of people that are in favour of a new building project. The formula is expressed as

P(x = r) = nCr × p^r × q^(n - r)

Where

x represents the number of successes.

p represents the probability of success.

q = (1 - r) represents the probability of failure.

n represents the number of trials or samples.

From the information given,

p = 40% = 40/100 = 0.4

q = 1 - p = 1 - 0.4

q = 0.6

n = 5

x = r = 4

Therefore,

P(x = 4) = 5C4 × 0.4^4 × 0.6^(5 - 4)

P(x = 4) = 5 × 0.0256 × 0.6

P(x = 4) = 0.0768

Hence, The probability that exactly 4 of them favour the new building project is 0.0768.

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Answer:

B. less than 15% just took the quiz and got a 100

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The number of people attending affects how much food is prepared for a catered event. The number of people attending is the explanatory variable in this scenario.

One kind of independent variable is an explanatory variable. Both words are frequently used interchangeably. This is the variable that changes as we change it or watch it change. In other words, it is a factor that a researcher has changed in an experiment.

In the given situation, the number of people attending is an explanatory variable and the amount of food prepared is a dependent variable. As the number of people attending increases, the amount of food prepared also increases. This means the effect of one variable alters the effect of another variable. The change of one variable is called an independent variable while the change that occurs because of the independent variable is a dependent variable.

Therefore, the required answer is the number of people attending.

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The number of pounds of strawberries sold and the number of pounds of grapes sold if Each pound of strawberries sell for $3.75 and each pound of grapes sells for $1.75 and earned a total of $155 is 32 and 20 respectively.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given:

The selling price of strawberries each pound = $3.75,

The selling price of grapes each pound = $1.75

The total earning = $155

Let x is the no of a pound of strawberries and y is the no of a pound of grapes sold, the according to the question equation will be,

x = y + 12 and 3.75x + 1.75y = 155

Solve the equation by substitution method,

x = 32 and  y = 20

Therefore, the number of pounds of strawberries sold and the number of pounds of grapes sold if Each pound of strawberries sells for $3.75 and each pound of grapes sells for $1.75 and earned a total of $155 is 32 and 20 respectively.

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Answer:

x=32    y=22

Step-by-step explanation:

Step-by-step explanation:

y= mx +C

So m, that is the slope of line will be 2.

Now the slope of required line will also be 2.

We can write

(y- (- 1)) =2 (x-(-4))

y+1 = 2(x+4)

y=2x+7

The solution to the given differential equation is L⁻¹{Y(s)} = (b³ t sin 2t) / (2 (sin bt - bt cos bt))

To solve the differential equation using the convolution theorem, we'll follow these steps:

Take the Laplace transform of both sides of the differential equation.

Use the convolution theorem to simplify the resulting expression.

Take the inverse Laplace transform to obtain the solution in the time domain.

Let's start with step 1:

Given differential equation: d²y/dt² - 4y = t cos 2t

Taking the Laplace transform of both sides, we get:

s²Y(s) - sy(0) - y'(0) - 4Y(s) = L{t cos 2t}

Where Y(s) represents the Laplace transform of y(t), y(0) is the initial condition for y(t) at t = 0, and y'(0) is the initial condition for dy/dt at t = 0.

The Laplace transform of t cos 2t can be found using the Laplace transform table:

L{t cos 2t} = -Im{d/ds[1 / (s² - (2i)²)]}

= -Im{d/ds[1 / (s² + 4)]}

= -Im{(-2s) / [(s² + 4)²]}

= 2Im{(s) / [(s² + 4)²]}

Now let's simplify the expression using the convolution theorem:

The Laplace transform of the convolution of two functions, f(t) and g(t), is given by the product of their individual Laplace transforms:

L{f * g} = F(s) G(s)

In our case, f(t) = y(t) and g(t) = 2Im{(s) / [(s² + 4)²]}.

Therefore, F(s) = Y(s) and G(s) = 2Im{(s) / [(s² + 4)²]}.

Multiplying F(s) and G(s), we get:

Y(s) G(s) = Y(s) 2Im{(s) / [(s² + 4)²]}

Now, we can rewrite the left-hand side of the equation using the convolution theorem:

Y(s) * 2Im{(s) / [(s² + 4)²]} = L{t cos 2t}

Taking the inverse Laplace transform of both sides, we have:

L⁻¹{Y(s) * 2Im{(s) / [(s² + 4)²]}} = L⁻¹{L{t cos 2t}}

Simplifying the right-hand side using the inverse Laplace transform table, we get:

L⁻¹{Y(s) * 2Im{(s) / [(s² + 4)²]}} = t sin 2t / 4

Now, we can apply the convolution theorem to the left-hand side of the equation:

L⁻¹{Y(s) * 2Im{(s) / [(s² + 4)²]}} = L⁻¹{Y(s)} * L⁻¹{2Im{(s) / [(s² + 4)²]}}

The inverse Laplace transform of 2Im{(s) / [(s² + 4)²]} can be found using the inverse Laplace transform table:

L⁻¹{2Im{(s) / [(s² + 4)²]}} = 1 / 2b³ (sin bt - bt cos bt)

Therefore, we have:

L⁻¹{Y(s)} * 1 / 2b³ (sin bt - bt cos bt) = t sin 2t / 4

From this, we can deduce the inverse Laplace transform of Y(s):

L⁻¹{Y(s)} = (t sin 2t / 4) / (1 / 2b³ (sin bt - bt cos bt))

Simplifying further:

L⁻¹{Y(s)} = (b³ t sin 2t) / (2 (sin bt - bt cos bt))

This is the solution to the given differential equation.

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Answer:

it's the 2nd one because

Step-by-step explanation:

have a nice day

The surface area of the right rectangular prism is 880 cm².

Given Top and bottom measurements of the rectangular prism = 15 cm and 11 cm

The front and back measurements of the rectangular prism = 11cm and 11cm

The two sides measurements of the rectangular prism = 11 cm and 14 cm

To find the surface area of the rectangular prism, we have to substitute the above values in the below equation,

Surface area = (top*bottom) + (front*back) + (sides)

Surface area = (15 cm * 11 cm) + (11 cm * 11 cm) + (11 cm * 14 cm)

Surface area = 330 cm² + 242 cm²  + 308 cm²  

Surface area = 880cm²

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Answer: 5

Step-by-step explanation:

Between F and G: \(\frac{-5-0}{-3-(-2)}=5\)

Between G and H: \(\frac{3-0}{-1-(-2)}=3\)

So, the greater rate of change is 5.

Answer:

-30

Step-by-step explanation:

I believe to find the last part of one of these equations you just need to multiply the number together.

Answer:

756 dollars

Step-by-step explanation:

Answer:

$756

Step-by-step explanation:

700×0.08=56

700+56=756

To determine the approximate rolling distance for a child on a bike weighing 110 lbs, we would need the regression line equation derived from a statistical analysis.

The regression line represents the relationship between the weight of the bike and the rolling distance. With the regression line equation, we can substitute the weight of 110 lbs into the equation to estimate the corresponding rolling distance. The regression analysis would have been performed using a dataset with various bike weights and their corresponding rolling distances. By analyzing the data, the regression line provides an approximation for predicting the rolling distance based on the weight of the bike.

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Answer:

Scatter plot because, A simply X-Y axis line graph is a good choice for this. I hope I could help.

The scatter plot display should used to records the height of a plant every day for a month.

Scatter plot is a "set of points plotted on a horizontal and vertical axes"

According to the question,

A graph to show how the plant's height changed over the month. A

scatter plots contain 'x' axis used to represent the heights of the plants and 'y' axis used to represent every day of a month  .

Hence, scatter plot display should used to records the height of a plant evert day for a month.

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In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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If you calculate SLE to be $25,000 and that there will be one occurrence every four years (ARO), then the ALE is $40,000.

A expected monetary decline each moment an asset is at risk is referred to as single-loss expectancy (SLE). It is a term that is most frequently used during risk analysis and attempts to assign a monetary value to each individual threat.

Quantitative risk analysis predicts the likelihood of certain risk outcomes as well as their approximate monetary cost using relevant, verifiable data.

IT professionals must consider a wide range of risks, including the following:

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A student's probability of having a sister are 1/2 or 0.5 if they do not have a brother.

Using the above data table, we must determine the likelihood that a student without a brother also has a sister. Analysing the table now

has a sibling: 5

possesses no sisters: 2

has an 18-year-old brother

possesses no brothers: 4

We are looking for the likelihood that a student has a sister and neither a brother (as indicated by the statement "Does not have a brother"). In this instance, there are two children who do not have a brother but do have a sister, making that number the number of positive outcomes.

No matter whether a student has a sister or not, the total number of outcomes is equal to the number of students who do not have a brother. According to the table, there are 4 students without brothers.

As a result, the likelihood that a student who doesn't have a brother will have a sister can be determined as follows:

Probability is calculated as the ratio of the number of favourable outcomes to all possible outcomes.

Probability equals 2/4

Probability equals 0.5 or half.

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Answer:

5.y=5x-10+5x+1

y=10x-9

6.y=2x+12+2x+6

  y=4x+18

7.y=-2x-8-2x+10

 y=-4x+2

8.y=-4x-8-4x-12

  y=-8x-20

Answer:

0,10 on the last one

Step-by-step explanation:

Answer:

10,000

2,000

0,10

Step-by-step explanation:

Answer:

No Solution

Step-by-step explanation:

I hope this helps