Need the answer please!!!

Answer: 9 and -2

Step-by-step explanation: because of the way it's writen.

The closest to the correlation of age and core strength if the r squared value of the estimated least squares regression line is .85 is 0.9. Hence option E is the correct option.

What is the regression line?

The dependent variables on the y-axis and the independent variables on the x-axis are shown as a linear connection by a regression line.

This coefficient's range is from -1 to +1. This coefficient demonstrates the degree to which the observed data for two variables are significantly associated.

Given that r² value of the estimated least squares regression line is .85.

The correlation coefficient is r.

r² = 0.85

Take square root on both sides:

r = √0.85

r = 0.9219

r  ≈ 0.9 (approx.)

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The best measure of variability for this data is the interquartile range (B).

Data in math is any information collected and organized for analysis. It can be qualitative or quantitative, and it can be used to describe, explain, and predict real-world phenomena. Data can be collected through surveys, experiments, or observations, and is often expressed in the form of tables, graphs, diagrams, and charts. Data can be used to answer questions, draw conclusions, and make predictions. The data gathered and analyzed can be used to inform decisions, assess trends, and develop models.


The interquartile range is a measure of variability that shows the range between the middle 50% of the data points. It is calculated by subtracting the lower quartile from the upper quartile. This measure of variability is useful for providing an overall picture of the distribution of the data and is less affected by outliers than the range or standard deviation.

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The solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.

Part A:

Given:

To find an equation,

Where x is number of monthly minutes.

and y is total monthly of splint plan.

So, equation is:

\(\rightarrow \text{y} =\text{mx} +\text{b}\)

For the first case:

\(\rightarrow\bold{173 = 380x + b}\)

Second case:

\(\rightarrow\bold{249= 570x + b}\)

Solve for x:

\(\rightarrow{173 - 380\text{x}=249- 570\text{x}\)

\(\rightarrow{-207=-321\)

\(\rightarrow \text{x} =\dfrac{321}{207}\)

\(\rightarrow \text{x} =\dfrac{107}{69}\)

\(\rightarrow \text{x} \thickapprox1.55\)

For value of b

\(\rightarrow 173 = 380(1.55) + \text{b}\)

\(\rightarrow 173 - 589 = \text{b}\)

\(\rightarrow -416 = \text{b}\)

Part B:

\(\rightarrow \text{y} = 942(1.55) - 416\)

\(\rightarrow \text{y} = 1460.1 - 416\)

\(\rightarrow \text{y} \thickapprox1044\)

Therefore, the solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

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Answer:

x =2                         x = -1

Step-by-step explanation:

|2x - 1| + 3 = 6.

Subtract 3 from each side

|2x - 1| + 3-3 = 6-3

|2x - 1|= 3

An absolute value has two solutions, one positive and one negative

2x-1 =3                   2x -1 = -3

Add 1 to all sides

2x-1+1 =3+1             2x-1+1 = -3+1

2x = 4                      2x =-2

Divide by 2

2x/2 = 4/2                 2x/2 = -2/2

x =2                         x = -1

Steps to solve:

|2x - 1| + 3 = 6

~Subtract 3 to both sides

|2x - 1| = 3

~Since we are working with an absolute value, one answer will be positive and one will be negative.

2x - 1 = 3

~Add 1 to both sides

2x = 4

~Divide 2 to both sides

x = 2

2x - 1 = -3

~Add 1 to both sides

2x = -2

~Divide 2 to both sides

x = -1

Best of Luck!

Answer:

Square Root of 35

Step-by-step explanation:

5 * 7 = 35

Answer:

5.91607978309

Step-by-step explanation:

The domain and the range of the piecewise function in this problem are given as follows:

The function in this problem is defined for all values of x between -6 and 2, except x = 0, and assumes all values of y between 0 and 6, except y = 1, hence the domain and range are given as follows:

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The sum of the scores is equal to 160.

In Mathematics, a mean is sometimes referred to as an average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

Mathematically, the mean for this set of scores can be calculated by using the following formula:

Mean = [F(x)]/n

For the total number of scores (data set), we have;

∑x = 20 + 60 + 30 + 50

∑x = 160.

Mean = [F(x)]/n = 160/4 = 40.

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Answer:

x = 30

Step-by-step explanation:

x/2 = 12 + 3

x = 2(12+3)

x = 30

Here are the experimental probabilities of each result (landing open side up, closed side up, and on its side):

P(A)=3/50=.06

P(B)=7/50=.14

P(C)=40/50=.8

Experimental probability is the probability of an event based on the outcomes of an experiment or series of trials. It is also known as empirical probability, and it is calculated by dividing the number of times the event occurred by the total number of trials or observations.

A = Occurrence of turning open-side-up

B = Occurrence of close-side up

C = The cup's likelihood of hitting its sides

Then, as it is given that:

50 times the paper cup was thrown.

3 instances of A happened.

7 instances of B were recorded.

40 instances of C happened.

Thus, their experimental probabilities are obtained as:

P(A)=3/50=.06

P(B)=7/50=.14

P(C)=40/50=.8

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Answer:

the net of a cylinder has 3 parts to it

Answer:

B three

Step-by-step explanation:

The net of a cylinder consists of three parts: One circle gives the base and another circle gives the top. A rectangle gives the curved surface.

The function notation of 9x + 3y = 12 is given as follows:

f(x) = 4 - 3x.

The function in the context of this problem is given as follows:

9x + 3y = 12.

The format for the function notation is given as follows:

Hence we must isolate the variable y, as follows:

3y = 12 - 9x

y = 4 - 3x (each term of the expression is divided by 3).

f(x) = 4 - 3x.

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Option D is correct

The model equation for the height of the ball at time t is given as:

h(t) = - 16t² + 30t + 6

Note:

The ball reaches a maximum height at a time when dh/dt = 0

The height of the ball at any time t is given by h(t) = - 16t² + 30t + 6

From h(t), dh/dt will be calculated as:

dh/dt = -32t + 30

At maximum height, dh/dt = 0

0 = -32t + 30

32t = 30

t = 30/32

t = 0.94 s

Therefore, the ball reaches the maximum height at 0.94 second

Let us find the position of the ball at t = 2 seconds

h(t) = - 16t² + 30t + 6

h(2) = -16(2)² + 30(2) + 6

h(2) = -64 + 60 + 6

h(2) = 2

At t = 2 seconds, the height of the ball is 2 feet

Let us find the position of the ball at t = 1.5 seconds

h(t) = - 16t² + 30t + 6

h(1.5) = -16(1.5)² + 30(1.5) + 6

h(1.5) = -36 + 45 + 6

h(1.5) = 15

At 1.5 seconds, the ball is 15 feet high

Since the height of the ball, h(t) is a function of time, the ball can clear the fence depending on the time, t, spent in the air

Answer: (x+6)(x-3)

Step-by-step explanation:

y=x^2+3x-18

(x+6)(x-3 )

Work Shown:

21/35 = (7*3)/(7*5) = 3/5

Answer:

Step-by-step explanation:

We will first find the prime factorization of 4 and 6. After we will calculate the factors of 4 and 6 and find the biggest common factor number .

Step-1: Prime Factorization of 4

Prime factors of 4 are 2. Prime factorization of 4 in exponential form is:

4 = 22

Step-2: Prime Factorization of 6

Prime factors of 6 are 2, 3. Prime factorization of 6 in exponential form is:

6 = 21 × 31

Step-3: Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1, 2

Step-4: Factors of 6

List of positive integer factors of 6 that divides 4 without a remainder.

1, 2, 3

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4 and 6. The biggest common factor number is the GCF number.

So the greatest common factor 4 and 6 is 2.

Answer: 2 the gcm of -4 and 6 is two

"This is non response bias because many customers may choose to not fill out the cards"
Not everyone will chose to leave a review when leaving the store, and those that do were probably in some way inconvenienced, and felt inclined to leave one, while the others left and went about their day.

Answer:

e = 129

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

e is an exterior angle of the triangle , then

e = 60 + 69 = 129

The constant of proportionality in the equation is 5/4

The constant connecting two given numbers in what is known in a proportional relationship is the constant of proportionality.

The constant of proportionality may also be referred to as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.

In the problem, y = 5/4x

The constant term 5/4 as used in the equation is used t multiply the input x values to get the out put y values

The term helps in relating x to y

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Using simultaneous equation, the solution to the system of linear equations are 1223 $10 tickets, 1332 $20 tickets, and 763 $30 tickets were sold.

Let's solve the problem step by step.

Let:

x = number of $10 tickets sold

y = number of $20 tickets sold

z = number of $30 tickets sold

From the given information, we can form the following equations:

Equation 1: x + y + z = 3318 (Total number of tickets sold)

Equation 2: y = x + 109 (109 more $20 tickets than $10 tickets were sold)

Equation 3: 10x + 20y + 30z = 61760 (Total sales from ticket sales)

We can use these three equations to solve for the values of x, y, and z.

First, let's substitute Equation 2 into Equation 1:

x + (x + 109) + z = 3318

2x + 109 + z = 3318

2x + z = 3209 (Equation 4)

Now, let's substitute the value of y from Equation 2 into Equation 3:

10x + 20(x + 109) + 30z = 61760

10x + 20x + 2180 + 30z = 61760

30x + 30z = 59580

x + z = 1986 (Equation 5)

We now have a system of equations (Equations 4 and 5) with two variables (x and z). We can solve this system to find the values of x and z.

Multiplying Equation 4 by 30, and Equation 5 by 2, we get:

60x + 30z = 96270 (Equation 6)

2x + 2z = 3972 (Equation 7)

Now, subtract Equation 7 from Equation 6:

(60x + 30z) - (2x + 2z) = 96270 - 3972

58x + 28z = 92298

Simplifying, we have:

29x + 14z = 46149 (Equation 8)

Now, we can solve Equations 5 and 8 simultaneously:

x + z = 1986 (Equation 5)

29x + 14z = 46149 (Equation 8)

Multiplying Equation 5 by 14, and Equation 8 by 1, we get:

14x + 14z = 27804 (Equation 9)

29x + 14z = 46149 (Equation 8)

Now, subtract Equation 9 from Equation 8:

(29x + 14z) - (14x + 14z) = 46149 - 27804

15x = 18345

Divide both sides of the equation by 15:

x = 18345 / 15

x = 1223

Substituting the value of x into Equation 5, we can find z:

1223 + z = 1986

z = 1986 - 1223

z = 763

Now that we have the values of x and z, we can substitute them back into Equation 1 to find y:

1223 + y + 763 = 3318

y + 1986 = 3318

y = 3318 - 1986

y = 1332

Therefore, the solution to the problem is:

x = 1223 (number of $10 tickets sold)

y = 1332 (number of $20 tickets sold)

z = 763 (number of $30 tickets sold)

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Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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The probability that it is raining if the flight has been delayed is 0.07, or 7%.

We can use the following formula to calculate the probability that it is raining if the flight has been delayed:

P(Rain|Delayed) = P(Rain and Delayed) / P(Delayed)

We are given that P(Rain) = 0.07 and P(Delayed) = 0.18. We can also use the fact that P(Rain and Delayed) = P(Rain) * P(Delayed):

= 0.07 * 0.18

= 0.0126.

Substituting these values into the formula, we get:

P(Rain|Delayed) = 0.0126 / 0.18 = 0.07

Therefore, the probability that it is raining if the flight has been delayed is 0.07, or 7%.

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The number of solutions to the equation y = ( 7/10 )x + 6y is infinite number of solutions as the equations are the same

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.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first equation be represented as A

Now , the value of A is

y = ( 7/10 )x + 6y   be equation (1)

Let the second equation be represented as B

The value of B is

y = ( 7/10 )x + 6y   be equation (2)

Now , on simplifying both the equations , we get

equation (1) = equation (2)

Substituting the values in the equation , we get

( 7/10 )x + 6y = ( 7/10 )x + 6y

So,  the system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept.

Hence , the number of solutions to the equations are infinite

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Linear equations are two-variable equations that graph as a straight line.

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.

Two-variable equations that graph as a straight line are said to be linear equations. The slope and y-intercept of a linear equation allow it to be graphed. Y = mx + b, where m is the slope and b is the y-intercept, is the formula used to represent a line. A graph's straight line can be represented by a linear equation.

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The answer from part A tells us that the trout population was 10 in the first month after it was introduced.

A. P(0) = 740 / (1 + 73e^-0) = 740 / (1 + 73) = 740 / 74 = 10, so the answer is 10.

B. The answer from part A tells us that the trout population was 10 in the first month after it was introduced.

C. To find the number of trout in the lake after 1 year, we need to find P(12): P(12) = 740 / (1 + 73e^-0.07*12) = 740 / (1 + 73e^-0.84) ≈ 490, so the answer is 490.

D. To find the number of trout in the lake after 10 years, we need to find P(120): P(120) = 740 / (1 + 73e^-0.07*120) = 740 / (1 + 73e^-8.4) ≈ 740, so the answer is 740.

E. lim t→∞ P(t) = 740, so the answer is 740.

F. The answer from part E tells us that as the number of months t approaches infinity, the trout population will approach 740. This means that the trout population will eventually stabilize at 740 if no other factors such as predators, disease, or lack of food affect the population.

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The absolute value function for this problem is given as follows:

y = |x - 4| - 6.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

The coordinates of the vertex of the function are given as follows:

(4, -6).

The slope of 1 determines the leading coefficient a as follows:

a = 1.

Hence the function is given as follows:

y = |x - 4| - 6.

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Answer:

The sequence is arithmetic progression and the common difference is -5

Step-by-step explanation:

AP = a + (n -1)d

a = first number = 15

d = common difference

Using the second term

10 = 15 + (2-1) d

10 = 15 + (1)d

10 = 15 + d

10-15 = d

d = -5

Using the third term

5 = 15 + (3-1) d

5 = 15 + (2)d

5 = 15 + 2d

5-15 = 2d

-10 = 2d

-10/2 = d

-5 = d

For the Geometric Progression,

GP = ar^n-1

a = first number

r = common ratio

Using the second number of the series

10 = 15 × r^2-1

10/15 = r^1

-2/3 = r

Using the second number of the series

5 = 15 × r^3-1

5/15 = r^2

-1/3 = r^2

r = square root of -1/3

Conclusion: From the above calculations, the arithmetic progression has a constant common difference of -5, and the geometric progression does not have a constant common ratio. Hence, the sequence is an arithmetic one

An arithmetic sequence is a sequence where the difference between each consecutive term is the same.

The sequence 15, 10, 5 is an arithmetic sequence.

The common difference is 5.

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8, 10 is an arithmetic sequence.

We have,

15, 10, 5

This is an arithmetic sequence.

The common difference.

= 15 - 10

= 5 _____(A)

Or

The common difference.

= 10 - 5

= 5 ______(B)

From (A) and (B),

The common difference is the same.

The sequence is an arithmetic sequence.

Now,

The common ratio.

= 10/15

= 2/3 ____(1)

Or

The common ratio.

= 5/10

= 1/2 _____(2)

From (1 )and (2),

The common ratio is not the same

The sequence is not a geometric sequence.

Thus,

The sequence 15, 10, 5 is an arithmetic sequence.

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Answer:

Step-by-step explanation:

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