when solving the following system of equations by substitution what would be a correct first step x=y–7 3x+15y=-1

(a) The predictor variable is Fall in feet and the response variable is Duration in seconds.

(b) The slope is in seconds per foot.

(c) The slope may be negative, as greater drop heights generally result in longer travel times.

(a) The predictor variable in this regression is Drop, which represents the drop height of the roller coaster, in feet, in feet. The response variable is Duration, which represents the duration of the trip, in seconds, in seconds.

(b) The units of slope in this regression are seconds per foot. This means that for each unit of increase in descent height in feet, the travel time will increase or decrease the value of the slope, measured in seconds per foot.

(c) The slope can be negative, as greater drop heights generally result in longer ride times, and the Tower of Terror roller coaster, which was exceptionally short despite its large drop height, has were removed from the analysis.

Therefore, the remaining 90 roller coasters in the dataset likely exhibit a negative relationship between drop height and time, meaning that as drop height increases, ride time decreases .

The Low R-value squared 29.4% means that the relationship between roller coaster drop and ride time in the data set is highly variable, but the negative slope indicates a general downward trend.

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If X and Y are any random variables with E(X) = 5, E(Y) = 6, E(XY) = 21, V(X) = 9 and V(Y) = 10, then the relationship between x and y is a strong negative relationship.

A simple random sample can be defined as a subset of items that are selected from a statistical population or larger data set, and each member of the subset has an equal or the same probability of being selected.

This ultimately implies that, each member of the subset are selected randomly and by chance, and as such a simple random sample is an unbiased representation of a statistical population.

By calculating the covariance using the following expression, we have:

Cov(X, Y) = E(XY) - E(X)E(Y).

E(X) = 5, E(Y) = 6 and E(XY) = 21.

In conclusion, we can infer and logically deduce that the relationship between x and y is a strong negative relationship.

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Complete Question:

If X and Y are any random variables with E(X) = 5, E(Y) = 6, E(XY) = 21, V(X) = 9 and V(Y) = 10, then the relationship between X and Y is a:

-strong positive relationship

-strong negative relationship

-weak positive relationship

-weak negative relationship

The correct answer is c. Inferential Statistics.

Inferential statistics is the branch of statistics that allows for drawing conclusions about a population based on the information collected from a sample. When conducting research or surveys, it is often impractical or impossible to collect data from an entire population.

Instead, a representative sample is chosen, and inferential statistics are used to make inferences or predictions about the larger population. By analyzing the characteristics and patterns observed within the sample, inferential statistics enable researchers to make generalizations or draw conclusions about the population as a whole.

This process involves applying various statistical techniques, such as hypothesis testing and confidence intervals, to estimate population parameters and assess the reliability of the conclusions. Magnitude statistics, central tendency, and effect size are important concepts in statistics, but they do not specifically address the ability to draw population-level conclusions from sample data.

Magnitude statistics focuses on the size of the effect or relationship between variables, central tendency measures summarize the central values of a dataset, and effect size quantifies the strength of an effect or relationship.

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Answer:

I don't realy know

Step-by-step explanation:

I think it's B

Answer:

-3

Step-by-step explanation:

We know that,

( + ) × ( + ) = ( + )

( - ) × ( - ) = ( + )

( + ) × ( - ) = ( - )

Accordingly, let us solve the given fraction.

-7 - ( - 4 )

-7 + 4

-3

The logical expression that represents the statement "Despite the fact that it is sunny today, I will bring my umbrella" is (B) s∧m.

The logical expression that represents the statement "Despite the fact that it is sunny today, I will bring my umbrella" is (B) s∧m. This is because the conjunction "and" (∧) is used to connect two statements that must both be true in order for the overall statement to be true. In this case, both s (It is sunny today) and m (I will bring my umbrella) must be true in order for the statement to be true.

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(B) s∧m, which represents the logical expression for "Despite the fact that it is sunny today, I will bring my umbrella."


The logical operator ∧ (conjunction) connects two propositions and represents the idea of "and." Therefore, s∧m means "It is sunny today and I will bring my umbrella." This is the logical expression that represents the statement given in the question.


To summarize, the correct answer is (B) s∧m, which represents the logical expression for "Despite the fact that it is sunny today, I will bring my umbrella."
Main Answer: The correct logical expression is (B) s∧m.

In the given statement, "Despite the fact that it is sunny today, I will bring my umbrella," both propositions s (It is sunny today) and m (I will bring my umbrella) are true at the same time. The logical expression that represents this is s∧m, which means "s AND m" are both true.

The statement "Despite the fact that it is sunny today, I will bring my umbrella" is best represented by the logical expression (B) s∧m, as it shows that both s and m are true.

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Answer:

would multiply everything by the common denominator of 4

-3/4m - 1/2 = 2 + 1/4m....multiply everything by 4 and u get :

-3m - 2 = 8 + m

that will get rid of the fractions....but u could multiply by -4 ...giving u :

3m + 2 = -8 - m

Step-by-step explanation:

Answer:D

Step-by-step explanation:

The correct statement that describes how the volume of the Hawk's refrigerator compares to the Lopez's refrigerator is: Option D.

D. The volume of the Hawk's refrigerator is 16 cubic inches less than the volume of the Lopez's refrigerator.

From the given information, we get,

The volume of the Hawk's refrigerator is given as 30 × 68 × 28.5 cubic inches.

The volume of the Lopez's refrigerator is given as (30 × 68 × 28.5) + 16 cubic inches.

We can see that the volume of the Lopez's refrigerator is obtained by adding 16 cubic inches to the volume of the Hawk's refrigerator.

Since 16 cubic inches are being added to the Hawk's refrigerator to get the Lopez's refrigerator, the volume of the Hawk's refrigerator must be 16 cubic inches less than the volume of the Lopez's refrigerator.

So, option D, "The volume of the Hawk's refrigerator is 16 cubic inches less than the volume of the Lopez's refrigerator," is the correct statement.

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the question is that there are 2,024 different ways that the three prizes can be claimed by the 24 horses.

To find the number of ways that the prizes can be claimed, we can use the formula for permutations, which is nPr = n! / (n-r)!, where n is the total number of items and r is the number of items being selected. In this case, we have 24 horses competing for 3 prizes, so n = 24 and r = 3. Plugging these values into the formula, we get:

nPr = 24P3 = 24! / (24-3)! = 24! / 21! = (24 x 23 x 22) / (3 x 2 x 1) = 2,024

Therefore, there are 2,024 different ways that the three prizes can be claimed by the 24 horses.

using the formula for permutations, we found that there are 2,024 different ways that the three prizes can be claimed by the 24 horses competing in the competition.

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The population after 11 years will be  56,181.

The rate of increase of the population would be represented with an exponential equation.

An exponential equation can be described as an equation with exponents. The exponent is usually a variable.

The general form of exponential equation is f(x) = \(e^{x}\)

Where:

Population after t years = \(p(1 + r)^{t}\)

Where:

= \(32,000(1 + 0.0525)^{11}\)

= \(32,000(1.0525)^{11}\)

= 56,181

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Answer:

3550 ft.

Step-by-step explanation:

y = 500(5) + 1050

  = 2500 + 1050

  = 3550 ft,

Answer:

134%

Step-by-step explanation:

just multiply it by 100 and add a %

The ratios that could be the lengths of the two legs in a 30-60-90 triangle are √3:3 (option E) and 12√3 (option D).

In a 30-60-90 triangle, the angles are in the ratio of 1:2:3. The sides of this triangle are in a specific ratio that is consistent for all triangles with these angles. Let's analyze the given options to determine which ones could be the ratio between the lengths of the two legs.

A. √2:√2

The ratio √2:√2 simplifies to 1:1, which is not the correct ratio for a 30-60-90 triangle. Therefore, option A is not applicable.

B. 15

This is a specific value and not a ratio. Therefore, option B is not applicable.

C. √√√√5

The expression √√√√5 is not a well-defined mathematical operation. Therefore, option C is not applicable.

D. 12√3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which simplifies to √3:3. Therefore, option D is applicable.

E. √3:3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which is equivalent to √3:3. Therefore, option E is applicable.

F. √2:√5

This ratio does not match the ratio of the sides in a 30-60-90 triangle. Therefore, option F is not applicable. So, the correct option is D. 1 √2.

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Answer:

ill answer it when im done with my homwork i see u  need help buddy

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 1/2 * 2 2/3 = 28/3= 9 1/3

hope this helped<3!!..

Answer:

- 1

Step-by-step explanation:

\(f(x) = 14 - 0.5x \\ f(30) = 14 - 0.5 \times 30 \\ f(30) = 14 - 15 \\ f(30) = - 1 \\ \)

1 1000 0110 0001 1000 0000 0000 0000. The machine code is a concatenation of the sign bit, the biased exponent, and the mantissa. Therefore, the machine code for -4.375 in 32 bits is 1 1000 0110 0001 1000 0000 0000 0000.

Sign in binary is: 1. We need to first check the sign of the number.-4.375 is a negative number, therefore, the sign bit is Value to the left of the binary point, i.e., integral part in binary is: 100.

First, we take the absolute value of the number, then divide it by 2 until we obtain 0 in the quotient.The remainders of each division, read from bottom to top, give the binary representation of the integral part.

Therefore, the binary representation of the integral part of -4 is 100.9c) Fractional part is: 011. We convert the decimal part to binary by multiplying it by 2 until we obtain a fractional part of 0.

The integer parts of each multiplication, read from top to bottom, give the binary representation of the fractional part. Therefore, the binary representation of the fractional part of 0.375 is 0.011. 9d)

Putting together the sign, integral part, and fractional part is: 1 100 011. The sign is 1 (negative), the binary representation of the integral part is 100, and the binary representation of the fractional part is 011.9e)

Normalize the value in 9d): 1.100011 x 2^-2. We need to place the binary point after the first 1. Then, we shift the binary point to the left until we obtain a number between 1 and Therefore, the normalized form of 1 100 011 is 1.100011 x 2^-2.9f)

Compute the exponent in biased form: 125. The exponent is the number of bits we shift the binary point to the left during normalization.The bias is the value we add to the exponent to obtain its biased form. For 32 bits, the bias is 127. Therefore, the exponent of 1.100011 x 2^-2 is 2 + 127 = 129 in biased form.9g)

Write the machine code in 32 bits for the sign, exponent, and mantissa: 1 1000 0110 0001 1000 0000 0000 0000. The machine code is a concatenation of the sign bit, the biased exponent, and the mantissa. Therefore, the machine code for -4.375 in 32 bits is 1 1000 0110 0001 1000 0000 0000 0000.

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The linear equation doesn't have a solution.

The linear equation given is illustrated as: 4x-(2x-1) = x+5+x-6

This will be solved thus:

4x - 2x + 1 = x+5+x-6

4x - 2x + 1 = 2x - 1.

2x + 1 = 2x - 1

Collect like terms

2x - 2x = -1 - 1

0 = -2

This illustrates that the equation doesn't have a solution.

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Answer:

Explanation:

To graph this we will draw a vertical line at

5

on the horizontal axis.

The line will be a dashed line because the inequality operator does not contain an "or equal to" clause.

We will shade to the right side of the line because the inequality operator also contains a "greater than" clause:

graph{x> 5 [-20, 20, -10, 10]}

Answer:

6 is the the distance between the points

The required distance between coordinates (-3, 4) and (-3, 10) is 6 units.

Given that,
The distance between the coordinates (-3, 4) and (-3, 10) is to be determined.

Coordinate, is represented as the values on x - axis and y - axis of the graph. where the values of the x-coordinate are called abscissa and the values of y coordinate are called ordinate.

Let the distance between two points be C.
Tio determined the distance between two points \((x_1, y_1)\) and (\(x_2,y_2\)) is given by the distance formula
C = √(x_1-x_2)^2(y_1-y_2)^2}

Putting the given coordinate in the above formula.

C = (-3+3)^2+(4 -10)^2}
C = {(0)^2+(6)^2}
C = √36
C = 6

The required distance between points is 6 units.

Thus, the required distance between coordinates (-3, 4) and (-3, 10) is 6 units.

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The extruder capacity is 2x10^6 N, which is greater than |F|, so the 200-tonne extruder is capable of carrying out this extrusion process.

To determine the minimum extrusion force (F) required for the hot extrusion process, we can use the homogeneous work model equation:

F = σyA0ln(I1/I0)

Given:

Diameter before extrusion (D0) = 80 mm

Diameter after extrusion (D1) = 20 mm

Yield strength (σy) = 130 MPa

First, we need to calculate the cross-sectional areas before and after extrusion.

A0 = π(D0/2)^2

A1 = π(D1/2)^2

Substituting the values, we get:

A0 = π(80/2)^2

= π(40)^2

= 1600π mm^2

A1 = π(20/2)^2

= π(10)^2

= 100π mm^2

Next, we need to calculate the lengths before and after extrusion.

I0 = π(D0)^2

I1 = π(D1)^2

I0 = π(80)^2

= 6400π mm

I1 = π(20)^2

= 400π mm

Now, we can substitute the values into the equation:

F = σyA0ln(I1/I0)

= (130 MPa)(1600π mm^2)ln(400π mm / 6400π mm)

Simplifying:

F = (130 MPa)(1600π mm^2)ln(1/16)

= (130 MPa)(1600π mm^2)(-2.7726)

≈ -719932.12π MPa mm^2

Therefore, the minimum extrusion force required is approximately -719932.12π MPa mm^2.

To determine whether a 200-tonne (2x10^6 N) capacity extruder is capable of carrying out this extrusion, we need to convert the force to newtons:

F (in newtons) = -719932.12π MPa mm^2 * 1 N/1 MPa mm^2

= -719932.12π N

Since the force is negative, we can take the absolute value to compare it with the extruder capacity:

|F| ≈ 719932.12π N

The extruder capacity is 2x10^6 N, which is greater than |F|, so the 200-tonne extruder is capable of carrying out this extrusion process.

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In the given equations using scientific notations the fourth one is true.

Given,

There are some equations with scientific notations;

We have to solve the equations and find them true or false.

This is false. Because,

4.25 × 10⁶ = 4250000

This is false. Because,

6.38 × 10⁹ = 6380000000

This is false. Because,

5.11 × 10⁻² = 0.0511

This is true.

That is,

In the given equations using scientific notations the fourth one is true.

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Answer:

x | -7      -5     -3  

y | -21    -15    -9

Step-by-step explanation:

y = 3x

If x = -7  then y = 3 × (-7) = -21

  x = -5  then y = 3 × (-5) = -15

  x = -3  then y = 3 × (-3) = -9

Answer:

C,D,C,B

Step-by-step explanation:

1) C

2) D

3)C

4)B

Answer:

whats the question

Answer:

What are you asking?

Given that John surfs the website on a regular basis. The time he spent surfing the website per day is normally distributed, µ = 8 minutes and σ = 2 minutes. If you select a random sample of 4 sessions. We are to find the probability of sample mean.a.

The probability that the sample mean is less than 8 minutes sample size(n) = 4μ = 8 minutesσ = 2 minutes

As we know, the sample means follow a normal distribution with mean, μ and standard deviation, σ / sqrt(n).

Therefore, the sample mean will follow a normal distribution with a mean of μ and standard deviation of σ/√n=2/√4=1

So the Z-score for the given data can be calculated as: Z= X−μ/σ/√nZ= 8−8/2/√4=0Thus, the probability that the sample mean is less than 8 minutes is P(Z < 0).

Since the Z distribution is normal, the area to the left of 0 is 0.5.

Therefore, the probability that the sample mean is less than 8 minutes is 0.5.b. The probability that the sample mean is between 8 and 10 minutes sample size(n) = 4μ = 8 minutesσ = 2 minutes

The Z-scores corresponding to X1=8 and X2=10 can be calculated as: Z1= X1−μ/σ/√n= 8−8/2/√4=0Z2= X2−μ/σ/√n= 10−8/2/√4=1

Thus, the probability that the sample mean is between 8 and 10 minutes is the area under the standard normal curve between Z1 and Z2, which is P(0

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