Which best explains how you know that N(1.-1) is on the same line as M(4,1) and L(7,3)?

Answer:

82 is the median

Step-by-step explanation:

The Excel function used when deciding to reject or fail to reject the null hypothesis is the T.TEST function.

This function is used to calculate the probability of obtaining the observed results or more extreme results, assuming that the null hypothesis is true. If the probability, also known as the p-value, is less than the significance level, typically 0.05, the null hypothesis is rejected, and it is concluded that there is sufficient evidence to support the alternative hypothesis.

Otherwise, if the p-value is greater than the significance level, the null hypothesis is not rejected, and it is concluded that there is not enough evidence to support the alternative hypothesis.

The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming that the null hypothesis is true. If the p-value is less than or equal to the level of significance (alpha) chosen for the test, typically 0.05 or 0.01, then the null hypothesis is rejected in favor of the alternative hypothesis. If the p-value is greater than the chosen alpha level, then the null hypothesis is not rejected.

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Answer:

7 carrots all together

Step-by-step explanation:

4+3=7

Answer:

I don't understand what the question is asking, so just see if you can get something from what I wrote below.

Step-by-step explanation:

Call the first number x and the next one x+2.

(x+ (x+2))/4 = 1895

Multiply by 4 on both sides...

x+(x+2) = 7580

Simplify on the left side...

2x+2 = 7580

2x = 7578

Divide by 2...

x = 3,789

x+2 = 3791

The terms do not decrease to zero rapidly enough (due to the presence of the denominator n^5), the series is not absolutely convergent. The series is conditionally convergent.

Let's re-evaluate the convergence of the series.

Consider the series:

∑ [infinity] (-1)^n * e^(1/n) / n^5

To determine the convergence, let's analyze the behavior of the terms as n approaches infinity.

First, let's examine the absolute value of each term:

|(-1)^n * e^(1/n) / n^5| = e^(1/n) / n^5

As n approaches infinity, the exponential term e^(1/n) approaches 1, and the denominator n^5 grows indefinitely. However, the presence of the alternating sign (-1)^n indicates that the series is an alternating series.

To determine if the series is convergent or divergent, we can apply the Alternating Series Test. The Alternating Series Test states that if a series is alternating and the absolute values of the terms decrease monotonically to zero, then the series is convergent.

In this case, as n approaches infinity, e^(1/n) approaches 1, and the terms decrease monotonically to zero since the exponential term in the numerator does not change sign. Therefore, the series is convergent by the Alternating Series Test.

However, since the terms do not decrease to zero rapidly enough (due to the presence of the denominator n^5), the series is not absolutely convergent.

Therefore, the series is conditionally convergent.

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Answer:

To substitute the equation for y in the second equation, we need to solve for y in the first equation and then substitute that expression for y in the second equation.

Starting with the first equation:

-24x + 6y = 12

We can isolate y by adding 24x to both sides:

6y = 24x + 12

Then, we can divide both sides by 6 to solve for y:

y = 4x + 2

Now that we have an expression for y in terms of x, we can substitute it into the second equation:

4x + 7y = 13

4x + 7(4x + 2) = 13

Simplifying and solving for x:

4x + 28x + 14 = 13

32x = -1

x = -1/32

Finally, we can substitute x back into either equation to solve for y:

-24(-1/32) + 6y = 12

3/4 + 6y = 12

6y = 11 1/4

y = 1 7/8

Therefore, the solution to the system of equations is (x,y) = (-1/32, 1 7/8).

Step-by-step explanation:

Answer:

167

Step-by-step explanation:

srry for nabbing question i need points :(

Answer:

You have $167 left.

Step-by-step explanation:

342 - 175 (prices of items added together) = 167

Answer: √141

Step-by-step explanation:

a^2=c^2-b^2

The hypotenuse is larger in this question so we subtract them.

25^2-22^2=625-484=141

√141

Answer:

x = √141  

or

x = 11.87

Step-by-step explanation:

is a right triangle, we solve it with the Pythagorean theorem ("In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides".)

x² = 25² - 22²

x² = 625 - 484

x² = 141

x = √141  

or

x = 11.87

Answer:

to organize bivariate data

to plot points to two sets of data

to compare dependent and independent variables

to visualize relationships between

Step-by-step explanation:

Answer:

Step 1: First, focus on one column and pick two points in the table to calculate slope. Plot these points on a graph with Cartesian coordinates. If we wanted to do Points 3 and 7 for example, we would plot them on the graph like so:

Point#3 = (-2,-5) Point#7 = (1,-10)

Step 2: Next, find the difference in y-coords between each pair of data points by subtracting Column#3's value from Column#7's value when you are looking at Point#3:-5 - 10= -15 OR when you are looking at Point #7 10- -2=-18. This tells us that in this instance the slope is negative.

Step 3: Then, take the difference between Column#1's value and Column #3's value when you are looking at Point#3:-5 - (-2)=7 OR when you are looking at Point #7(-10)-(1)=-9 This tells us that in this instance the slope is positive.

We can do this for any two points of data to find the two slopes.

Once we have found all our slopes, we can use our table of values to set up an equation y=mx+b where m=gradient (m=slope=rise/run) x = First number in ordered pair b = y-intercept (the second number in an ordered pair) With this equation we can use our points 3 and 7 to find their corresponding y-intercepts, which are -15 and -18. Once you have found the y-intercepts, you can plug in any x-value into your equation with m & b to see what the corresponding y value will be! For example:

Once you've done this for each ordered pair, plot them on a graph if possible, otherwise make sure they are all in order. Below is what they should look like once plotted on an xy scatter plot (ignore the fact that I did my line backwards in some parts of it):

The red line is positive slope while the blue line is negative slope. The green line was not included in the table of values. You can see that it looks very similar to the red line, but doesn't intersect some points on the x axis. This is because we set our gradient (m) to be negative and so it had to curve downwards instead of upwards like a positive angle would:

This means that while the red and blue lines cross more often than they don't, this green line will only ever cross up once! It is simply their "mirror image". That's why when you shift your graph, this green line still behaves exactly as it did before. If you shift your graph for this problem by 3 units in an upwards direction, all you have to do is change -3's to +3's for both m & b to get the same graph as before!

**ANSWER MADE BY AN AI**

The amount of money that you will have in eight years from today is $29,315.79 (rounded to 2 decimal places).

To find out the amount of money that you will have in eight years, you need to use the future value formula, which is:FV = PV × (1 + r)n

Where, FV = future value

PV = present value (initial investment) r = annual interest rate (as a decimal) n = number of years

First, you need to find the future value of the gift amount of $17,000 in two years.

Since it's a gift and not an investment, we can assume an interest rate of 0%.

Therefore, the future value would simply be:

PV = $17,000r = 0%n = 2 years

FV = $17,000 × (1 + 0%)2FV = $17,000

Now, you will loan that amount at 9.75% interest for six more years.

So, you need to find the future value of $17,000 after 6 years at an annual interest rate of 9.75%.

PV = $17,000

r = 9.75%

n = 6 years

FV = $17,000 × (1 + 9.75%)6

FV = $29,315.79

Therefore, the amount of money that you will have in eight years from today is $29,315.79 (rounded to 2 decimal places).

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Answer:

I answered this already in your last question, it is 6 1/6

Step-by-step explanation:

hope it helps

Answer:

option C is correct.

hope this answer helps you dear..... take care and may u have a great day ahead!

It is reasonable for Stacy to use a normal model for the sampling distribution of the sample proportion. This is because, according to the Central Limit Theorem,

when the sample size is large enough (typically considered to be at least 30), the sampling distribution of the sample proportion will be approximately normal, regardless of the shape of the population distribution.

In Stacy's case, she plans on surveying a random sample of students, which implies that she will have a sufficiently large sample size. Therefore, the conditions for using a normal model are satisfied.

In conclusion, Stacy can use a normal model for the sampling distribution of the sample proportion in her survey for the final project.

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Answer:

9n

Step-by-step explanation

You multiply 9 by n.

Answer: the answer is B: f(x) = –2(x – 5)(x – 1)

Step-by-step explanation: i took the test

Answer:ITS A

Step-by-step explanation:

cuz I got it wrong and it showed me the right answer

apply the same procedure for the other mixed numbers

multiply the results together

Answer:

Ab and Xz are congruent, and B=X, A=Z, which proves it is with SAS

Step-by-step explanation:

Answer:

C

=

(

a

,

b

)

the center coordinates of circle

a

=

2

 ,

b

=

−

1

  ,

r

=

8

Step-by-step explanation:

Answer:

The answer is C. Physical attractiveness

Step-by-step explanation:

Physical attractiveness is a term describing the way people judge the physical appearances of others,

Simplifying

2x + 9 + -10 = -5

Reorder the terms:

9 + -10 + 2x = -5

Combine like terms: 9 + -10 = -1

-1 + 2x = -5

Solving

-1 + 2x = -5

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.

-1 + 1 + 2x = -5 + 1

Combine like terms: -1 + 1 = 0

0 + 2x = -5 + 1

2x = -5 + 1

Combine like terms: -5 + 1 = -4

2x = -4

Divide each side by '2'.

x = -2

Simplifying

x = -2

I hope it helps you

Answer:

y - 25 = 4

Step-by-step explanation:

i’m guessing you meant this as “25 less than a number = 4.” so i can put tha as an expression.

Basically you’re gonna want to take the unknown number and turn it into a variable.

You should know what a variable is but if not it’s just a letter in place for an unknown number.

so since the unknown number, we will use the letter y as the variable.

so y-25=4

boom that’s it.

since there’s an unknown number in place of the bigger number, we can just put the variable and write the rest out as a regular problem.

and if you need to know the variable number it’s 29.

39 subjects were tested in this simple one-way ANOVA.

The df for F distribution is (treatment df, error df)

Using given information

Treatment df = 7

Error df = 31

Total df= 7+31 = 38

Again, total df = N-1, N= number of subjects tested

Then, N-1 = 38

=> N= 39

One-way ANOVA is typically used when there is a single independent variable or factor and the goal is to see whether variation or different levels of that factor have a measurable effect on the dependent variable.

The t-test is a method of determining whether two populations are statistically different from each other, and ANOVA determines whether three or more populations are statistically different from each other.

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The mass (in grams of each muffin out of the 100 muffins is 5802 g

given data

number of identical muffins = 100

Total mass of muffins = 5802 g

Deductions from the question

let each muffin have a mass of x such that

100 * x = 5820

100x = 5802

x = 5802 / 100

x = 58.02

Therefore the mass of each muffin is 58.02 g. and this results to mass of 100 muffins being 5802 g

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Given integral I=∫−23​x(x+1)δ(x3−x)dx . The value of the given integral is 0.

We are given the integral, I=∫−23​x(x+1)δ(x3−x)dx

We know that the Dirac delta function, δ(x), is zero for all values of x except x=0, where it is infinite.

Hence, we can write δ(x) asδ(x)={0if x≠0∞if x=0

Thus, the given integral becomes

\(I=\int\-23​x(x+1)\delta(x^3-x)dx\\=\int\−23​x(x+1)\delta(x(x2−1))dx\\=\int\−23​x(x+1))\delta(x))\delta(x2−1)dx\)

Now, we use the following property of the Dirac delta function:

\(\int\limits^\infty_{-\infty} f(x)\delta(x-a)dx=f\)

This property states that the integral of the product of the Dirac delta function and any other function f(x) is equal to f(a) at the point x=a and is zero everywhere else.

Using this property, we get

\(I=\int\−23​x(x+1)\delta(x)\delta(x2−1)dx\\=x(-2)(x+1)+x(2)(x-1)\\=(-2x^2-2x)+(2x^2-2x)\\=0\)

Hence, the value of the given integral is 0.

since the Dirac delta function is zero for all values of x except x=0, where it is infinite. By using the properties of the Dirac delta function, we were able to evaluate the given integral and obtain its value.

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Answer:

A) 15x+9x

B) you have to graph

C)yes, all she wants to do is make 90 bucks she can totally do more if she wants

D) you can choose

Step-by-step explanation:

15*12 & 9*12

Answer:

C) (10, 3) and (15, -2)

Step-by-step explanation:

Use formula of a slope, where \((x_1,y_1)\) and \((x_2,y_2)\) are points on the line:

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

Inputting values of points:

A) m = undefined

B) m = -7/2

C) m = -1

D) m = -2/7

The given nonlinear equation x"'+x"+x'x + x = p(t) with initial conditions x(0)=10, x'(0) = 0, x"'(0)=100 can be converted to state-space form, which consists of a set of first-order differential equations.

To convert the given nonlinear equation to state-space form, we introduce state variables. Let's define:

x₁ = x (position),

x₂ = x' (velocity),

x₃ = x" (acceleration).

Taking derivatives with respect to time, we have:

x₁' = x₂,

x₂' = x₃,

x₃' = p(t) - x₃x₂ - x₁.

Now, we have a set of three first-order differential equations. Rewriting them in matrix form, we get:

[x₁'] = [0 1 0] [x₁] + [0] [x₂] + [0] [x₃] + [0] [p(t)],

[x₂'] = [0 0 1] [x₁] + [0] [x₂] + [0] [x₃] + [0] [p(t)],

[x₃'] = [-1 0 0] [x₁] + [0] [x₂] + [-x₂] [x₃] + [1] [p(t)].

The state-space representation is given by:

x' = Ax + Bu,

y = Cx + Du,

where x = [x₁ x₂ x₃]ᵀ is the state vector, u is the input vector, y is the output vector, A, B, C, and D are matrices derived from the above equations.

In this case, A = [[0 1 0], [0 0 1], [-1 0 0]], B = [[0], [0], [1]], C = [[1 0 0]], and D = [[0]]. The initial conditions are x₀ = [10 0 100]ᵀ.x"'+x"+x'x + x = p(t) with initial conditions x(0)=10, x'(0) = 0, x"'(0)=100 can be converted to state-space form, which consists of a set of first-order differential equations.

To convert the given nonlinear equation to state-space form, we introduce state variables. Let's define:

x₁ = x (position),

x₂ = x' (velocity),

x₃ = x" (acceleration).

Taking derivatives with respect to time, we have:

x₁' = x₂,

x₂' = x₃,

x₃' = p(t) - x₃x₂ - x₁.

Now, we have a set of three first-order differential equations. Rewriting them in matrix form, we get:

[x₁'] = [0 1 0] [x₁] + [0] [x₂] + [0] [x₃] + [0] [p(t)],

[x₂'] = [0 0 1] [x₁] + [0] [x₂] + [0] [x₃] + [0] [p(t)],

[x₃'] = [-1 0 0] [x₁] + [0] [x₂] + [-x₂] [x₃] + [1] [p(t)].

The state-space representation is given by:

x' = Ax + Bu,

y = Cx + Du,

where x = [x₁ x₂ x₃]ᵀ is the state vector, u is the input vector, y is the output vector, A, B, C, and D are matrices derived from the above equations.

In this case, A = [[0 1 0], [0 0 1], [-1 0 0]], B = [[0], [0], [1]], C = [[1 0 0]], and D = [[0]]. The initial conditions are x₀ = [10 0 100]ᵀ.

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The sum in sigma notation can be written as:
∑(k=0 to 23) 3 · 5^k

The sum of the given series is approximately -89, 406, 967, 163, 085, 936.75.

To write the given sum in sigma notation, we can observe that each term is of the form 3 · 5^k, where k represents the position of the term in the series.

The sum in sigma notation can be written as:
∑(k=0 to 23) 3 · 5^k
To evaluate this sum using the appropriate formula, we can use the formula for the sum of a geometric series:
S = a(1 - r^n) / (1 - r),
where:
S is the sum of the series,
a is the first term,
r is the common ratio,
n is the number of terms.
In our case, a = 3, r = 5, and n = 23.
Using these values in the formula, we can evaluate the sum:
S = 3(1 - 5^23) / (1 - 5).

Now let's calculate the value:

S = 3 * (1 - 119,209,289,550,781,250) / (1 - 5)

S = 3 * (-119,209,289,550,781,249) / -4

S = 357,627,868,652,343,747 / -4

S ≈ -89, 406, 967, 163, 085, 936.75

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Answer:

A. February 26th

B. $3,500 - Balance ≈ $6,697.26

C. $2,500 - Balance ≈ $4,263.46

D. $4,284.81

Step-by-step explanation:

a) What is the due date of the loan?

The loan term is given as 317 days, and the loan starts on April 15th. To find the due date, we will add 317 days to April 15th.

April 15th + 317 days = April 15th + (365 days - 48 days) = April 15th + 1 year - 48 days

Subtracting 48 days from April 15th, we get:

Due date = February 26th (of the following year)

b) Calculate the interest due on October 12th and the balance of the loan after the October 12th payment.

First, we need to calculate the number of days between April 15th and October 12th:

April (15 days) + May (31 days) + June (30 days) + July (31 days) + August (31 days) + September (30 days) + October (12 days) = 180 days

Now, we will calculate the interest for 180 days:

Interest = Principal × Interest Rate × (Days Passed / 365)

Interest = $10,000 × 0.04 × (180 / 365)

Interest ≈ $197.26

Peter will make a payment of $3,500 on October 12th. So, we need to find the balance of the loan after this payment:

Balance = Principal + Interest - Payment

Balance = $10,000 + $197.26 - $3,500

Balance ≈ $6,697.26

c) Calculate the interest due on January 11th and the balance of the loan after the January 11th payment.

First, we need to calculate the number of days between October 12th and January 11th:

October (19 days) + November (30 days) + December (31 days) + January (11 days) = 91 days

Now, we will calculate the interest for 91 days:

Interest = Principal × Interest Rate × (Days Passed / 365)

Interest = $6,697.26 × 0.04 × (91 / 365)

Interest ≈ $66.20

Peter will make a payment of $2,500 on January 11th. So, we need to find the balance of the loan after this payment:

Balance = Principal + Interest - Payment

Balance = $6,697.26 + $66.20 - $2,500

Balance ≈ $4,263.46

d) Calculate the final payment (interest + principal) Peter must pay on the due date.

First, we need to calculate the number of days between January 11th and February 26th:

January (20 days) + February (26 days) = 46 days

Now, we will calculate the interest for 46 days:

Interest = Principal × Interest Rate × (Days Passed / 365)

Interest = $4,263.46 × 0.04 × (46 / 365)

Interest ≈ $21.35

Finally, we will calculate the final payment Peter must pay on the due date:

Final payment = Principal + Interest

Final payment = $4,263.46 + $21.35

Final payment ≈ $4,284.81

Answer:yes

Step-by-step explanation:

Answer:

it should be something like 3.75/1 because she walks a distance of 3.75 over the span of 1 hour... So I think its 3.75, not 1/3.75.