Evaluate the expression (-y - 2x) - y given the values of x = -5 and y = 3
what is the answer?

Answers

Answer 1

Answer:

4

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Define

(-y - 2x) - y

x = -5

y = 3

Step 2: Substitute and Evaluate

(-3 - 2(-5)) - 3

(-3 + 10) - 3

7 - 3

4

Answer 2

Answer:

4

Step-by-step explanation:

replace both values in the parentheses

-3 - 2(-5)

two negatives make a positive, so you would have -3 + 10

which is 7

now you have 7 - 3

7-3=4


Related Questions

Triangle QRS is transformed as shown on the graph. Which rule describes the transformation?

Answers

where is the picture?

3. Jaquan can read 1/16 of a book in ½ an hour. At this rate, how long would it take him to finish half of the book?

Answers

4 hours

Jaquan can read 1/16 of a book in 1/2 an hour, so he can read 2/16 or 1/8 of a book in one hour (multiplying both by 2). Since we are looking for when he finishes half the book (1/2 or 4/8), we are looking for how many hours it takes at a rate of 1/8 books/hr to read 4/8 of a book.

Thus, 1/8x = 4/8, solved for x = 4

Answer:

4 hours. your answer is 4 hours

let y=f(x) be the particular solution to the differential equation dydx=ex−1ey with the initial condition f(1)=0 . what is the value of f(−2) ?

Answers

To find the value of f(-2) given the differential equation dy/dx = e^(x-1) * e^y with the initial condition f(1) = 0, we can use separation of variables and solve the differential equation.

Starting with the given differential equation:

dy/dx = e^(x-1) * e^y

Separating variables by multiplying both sides by dx and e^(-y):

e^(-y) dy = e^(x-1) dx

Now, we can integrate both sides of the equation:

∫ e^(-y) dy = ∫ e^(x-1) dx

Integrating the left side with respect to y and the right side with respect to x:

e^(-y) = e^(x-1) + C

Applying the initial condition f(1) = 0, where x = 1 and f(1) = 0:

e^(-0) = e^(1-1) + C

1 = 1 + C

C = -2

Substituting the value of C back into the equation:

e^(-y) = e^(x-1) - 2

Now, we can find the value of f(-2) by substituting x = -2 into the equation:

e^(-y) = e^(-2-1) - 2

e^(-y) = e^(-3) - 2

To find the value of f(-2), we need to solve for y:

e^(-y) = 2 - e^(-3)

y = -ln(2 - e^(-3))

Therefore, the value of f(-2) is f(-2) = -ln(2 - e^(-3)).

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Evaluate the line integral ∫ Cxyds, where C is given by the line y=lnx,1≤x≤e. The answers to only some of the questions will be marked. You are advised to do all the questions since those you leave might be the ones that will be marked.

Answers

Answer:

Step-by-step explanation:

To evaluate the line integral ∫ Cxy ds, where C is given by the line y = ln(x), 1 ≤ x ≤ e, we need to parameterize the curve C and then calculate the integral.

Let's parameterize the curve C using the parameter t as follows:

x = t

y = ln(t), where t ∈ [1, e]

Next, we need to find the differential ds. Recall that ds = √(dx^2 + dy^2).

Substituting the parameterizations into the differential ds, we have:

ds = √(dx^2 + dy^2) = √((dt)^2 + (d(ln(t)))^2) = √(1 + (1/t)^2) dt = √(1 + 1/t^2) dt

Now we can rewrite the line integral as:

∫ Cxy ds = ∫[t=1 to t=e] (t * ln(t) * √(1 + 1/t^2)) dt

To evaluate this integral, we can simplify it further:

∫[t=1 to t=e] (t * ln(t) * √(1 + 1/t^2)) dt = ∫[t=1 to t=e] (t * ln(t) * √((t^2 + 1)/t^2)) dt

= ∫[t=1 to t=e] (t * ln(t) * √(t^2 + 1)) / t dt

= ∫[t=1 to t=e] (ln(t) * √(t^2 + 1)) dt

Now, we can evaluate this integral by substituting u = t^2 + 1:

du = 2t dt

dt = du / (2t)

The integral becomes:

∫[t=1 to t=e] (ln(t) * √(t^2 + 1)) dt = ∫[u=2 to u=e^2+1] (ln(√(u-1)) * √u) (du / (2t))

= (1/2) ∫[u=2 to u=e^2+1] ln(√(u-1)) du

Now we can evaluate the integral using the antiderivative of ln(u):

= (1/2) [u ln(√(u-1)) - u] |[u=2 to u=e^2+1]

= (1/2) [(e^2+1) ln(√(e^2)) - (e^2+1)] - (2 ln(√(2-1)) - 2)

Simplifying further, we get:

= (1/2) [(e^2+1) ln(e) - (e^2+1)] - 2 ln(√2)

Since ln(e) = 1, the expression becomes:

= (1/2) [(e^2+1) - (e^2+1)] - 2 ln(√2)

= - 2 ln(√2)

Therefore, the value of the line integral ∫ Cxy ds, where C is given by the line y = ln(x), 1 ≤ x ≤ e, is -2 ln(√2).

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(√m)⁴ n² = 2304
(√m) n = 12​

Answers

We have two equations:

(√m)⁴ n² = 2304 ----(1)

(√m) n = 12 ----(2)

Let's solve for m and n using these equations.

First, we can simplify equation (1) by expanding (√m)⁴ as m²:

m²n² = 2304

Simplifying further, we get:

mn = ±48 ----(3) (Taking square root on both sides)

Next, we can substitute equation (2) into equation (3) to get:

12√m = ±48

Simplifying further, we get:

√m = ±4

Squaring both sides, we get:

m = 16 or m = 16

So, the value of m is 16.

Now, we can substitute this value of m into equation (2) to get:

√16n = 12

Simplifying further, we get:

4n = 12

Therefore, the value of n is 3.

Hence, the solutions to the given equations are m = 16 and n = 3.

At what point should an open circle be drawn?

Answers

The point that should an open circle be drawn exists (0, 0).

What is meant by function ?A formula, rule, or regulation that establishes the link between the independent variable and the dependent variable (the dependent variable).

As a set of inputs with one output for each, a function is defined as a relationship between them.

A function, expressed simply, is an association between inputs where each input is connected to one and only one output.

Generally speaking, there are four different types of functions. based on element One to One Function, Many to One Function, Into Function, One to One and Into Function.

The first equation in the system is f(x) = -x, for x < 0.  

This means when x=0, f(x) = f(0) = 0.

Since we have the inequality x<0, this means at the point (0, 0),

the point will be open and not filled in.

Therefore, the correct answer is option b) (0, 0).

The complete question is:

The function f(x) is to be graphed on a coordinate plane

At what point should an open circle be drawn?

a) (–1, 0)

b) (0, 0)

c) (0, 1)

d) (1, 0)

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At what point should an open circle be drawn?

There are 3 feet in a yard. how many yards, as a mixed number, will you drive until you reach this exit? please help!

Answers

The number of yards, as a mixed number, will you drive until you reach this exit is 333 1/3 yards

How to determine the number of yards to drive?

The complete question is added as an attachment

From the attached figure, we have:

Exit = 1000 feet

From the question, we have

3 feet = 1 yard

So, the number of yards is

Number of yard =Exit/3 yards

This gives

Number of yard = 1000/3 yards

Evaluate the quotient

Number of yard = 333 1/3 yards

Hence, the number of yards, as a mixed number, will you drive until you reach this exit is 333 1/3 yards

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There are 3 feet in a yard. how many yards, as a mixed number, will you drive until you reach this exit?

Consider a sample with data values of 27, 25, 20, 15, 30, 34, 28, and 25. compute the 20th, 25th, 65th, and 75th percentiles. if needed, round your answers to two decimal digits.

Answers

The 20th percentile is 20,

The 25th percentile is 22.50.

The 65th percentile is 28.

The 75th percentile is 29.

Given values:

27, 25, 20, 15, 30, 34, 28, and 25.

n = 8

sorting the data gives:

15, 20, 25, 25, 27, 28, 30, and 34.

How to solve for 20th percentile

= 20/100 * 8

= 1.6 ≈ 2

1.6 is rounded to 2, the second value is in the sorted data set is 20 hence the 20th percentile is 20

How to solve for 25th percentile

= 25/100 * 8

= 2

Since 2 is an integer, the mean of the 2nd and the 3rd values in the sorted data set gives the 25th percentile.

( 20 + 25 ) / 2 = 22.5

hence the 25th percentile is 22.50

How to solve for 65th percentile

= 65/100 * 8

= 5.2 ≈ 6

5.6 is rounded to 6, the sixth value is in the sorted data set is 28 hence the 65th percentile is 28

How to solve for 75th percentile

= 75/100 * 8

= 6

Since 6 is an integer, the mean of the 6th and the 7th values in the sorted data set gives the 75th percentile.

( 28 + 30 ) / 2 = 29

hence the 75th percentile is 29

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Can y’all help me please like bro omg idk

Can yall help me please like bro omg idk

Answers

4: linear
5: quadratic
6: exponential
7: inverse variation

Answer:

#4. linear

#5. quadratic

#6. exponential

#7. inverse

Please I need help Please I need help Please I need help Please I need help Please I need help

Please I need help Please I need help Please I need help Please I need help Please I need help

Answers

Answer:

please help my friend 99ooooooooooooooooooooooooooooooooooo9ooooo my mjjjkjjidhjubsjuxsvuvjxehxf


Prove the following.
If SC ≅ HR and HR ≅ AB , then SC ≅ AB.

Answers

The congruent segments, \( SC \cong HR \) and \( HR \cong AB\), according to the substitution property of equality, gives; \( SC \cong AB \)

How can the definition of congruency and equality property prove \( SC \cong AB \)?

The given parameters are;

\( SC \cong HR \) \( HR \cong AB\)

Required;

To prove;

\( SC \cong AB\)

Solution;

From the given parameters, and the definition of congruency, we have;

SC = HRHR = AB

According to the symmetric property of equality, we have;

SC = HR

Therefore;

HR = SC

According to the substitution property of equality, we have;

If a = b and a = c, therefore;

b = c

Which gives;

HR = SC

HR = AB

Therefore;

SC = AB

Which gives;

\( SC \cong AB \) (Inverse of the definition of congruency)

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PLZ HELP WITH MATH!!!

PLZ HELP WITH MATH!!!

Answers

Answer:

128 in.^2?

Step-by-step explanation:

a rectangle is also a parallelogram, so find the area of the rectangles.

if it is a 30-60-90 triangle, 8 inches is x, and to find the sides, it is either (x)sqrt(3), or in this case, 2x, so 16x8= 128?

If p(x) = x² - 1 and g(x)= 5(x-1), which expression is equivalent to (p - q)(x)?
A.5(x-1)-x²-1
B.(5x-1)-(x² - 1)
C.(x²-1)-5(x - 1)
D.(x²-1)-5x - 1

Answers

The expression which is equivalent to the required expression (p - q)(x) is; Choice C; (x²-1)-5(x - 1).

Which expression is equivalent to (p - q)(x) given that p(x) = x² - 1 and g(x)= 5(x-1)?

It follows from the task content that the premise functions as given in the task content are;

p(x) = x² - 1

g(x)= 5(x-1).

Consequently, the required expression for the function operations; (p - q)(x) is simply;

p(x) - q(x) and is equivalent to;

(x² - 1) - 5(x - 1)

Therefore, the expression which is equivalent to the required expression (p - q)(x) is Choice C; (x²-1)-5(x - 1).

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_______fraction of rupee one is 25 paise​

Answers

Answer:

The 25 paisa coin is worth 1⁄4 of a rupee (1 rupee = 100 paise).

Step-by-step explanation:

The 25 paisa coin is worth 1⁄4 of a rupee (1 rupee = 100 paise).

Rearrange each of the following in slope/y-intercept form, y = mx + b.
a. 3x - 6y + 8 = 0 b. -2x - 5y - 2 = 0

Answers

Answer:

a.

\({ \tt{3x - 6y + 8 = 0}} \\ { \tt{ 6y = 3x - 8}} \\ { \boxed{ \bf{y = \frac{1}{2} x - \frac{4}{3} }}}\)

b.

\({ \tt{ - 2x - 5y - 2 = 0}} \\ { \tt{5y = - 2x + 2}} \\ { \boxed{ \bf{y = - \frac{ 2}{5} x + \frac{2}{5} }}}\)

Fiona and Pip win some money and share it in the ratio 3:1. Fiona gets £30. How much did they win in total?

Answers

Answer:

40

Step-by-step explanation:

30÷3=10

30+10=40

Hope this helps! :)

Please help!!! Angles!

Please help!!! Angles!

Answers

Answer:

m∠JKM = 63°

m∠MKL = 27°

Step-by-step explanation:

Since ∠JKL is a right angle. This means that by summing up both m∠JKM and m∠MKL will result in the same as ∠JKL figure. Thus, m∠JKM + m∠MKL = m∠JKL which is 90° by a right angle definition.

\(\displaystyle{\left(12x+3\right)+\left(6x-3\right) = 90}\)

Solve the equation for x:

\(\displaystyle{12x+3+6x-3 = 90}\\\\\displaystyle{18x=90}\\\\\displaystyle{x=5}\)

We know that x = 5. Next, we are going to substitute x = 5 in m∠JKM and m∠MKL. Thus,

m∠JKM = 12(5) + 3 = 60 - 3 = 63°

m∠MKL = 6(5) - 3 = 30 - 3 = 27°

The diagram shown is two intersecting lines. The measure of 5 is 47°. (a) What is the measure of 7 ? How do you know. Explain your answer in complete sentences. (b) Suppose the measure of 6 can be represented by (2 5 x − ) . What equation can be written to solve for the value of x? (c) What is the value of x?

Answers

Answer:

the measure of 7 is 47 degrees, the equation is 2x -5 + 47 = 180 and the value of x is = to 69

Step-by-step explanation:

Answer:

a)  <5 and <7 have congruent angles. That means that both angles are equal, they have the same measure. This means that the measure of <7 is 47°.

<7 = 47°

b) 5 and 6 are adjacent, so this is the equation that we have to do to solve for the value of x.

<5 + <6 = 180°

47° + (2x - 5)° = 180°

c) To solve the linear equation we need to isolate x.

47° + (2x - 5)° = 180°

(2x - 5)° = 180° - 47° = 133°

2x - 5 = 133

2x = 133 + 5 = 138

x = 138/2 = 69

a couple in spain were sentenced for stealing nearly $1.7m worth of what restaurant luxury item?

Answers

A couple in Spain was sentenced for stealing nearly $1.7 million worth of restaurant luxury items. The couple from Spain was convicted of stealing almost $1.7 million worth of wine.

According to reports, the wine came from 12 Spanish vineyards, including Penedes, Rioja, and Ribera del Duero. Their stolen wines were primarily expensive, high-end wines that were widely sought after by collectors, like Chateau Petrus and Romanee-Conti. The couple's wine cellar, which was discovered and raided by the authorities in 2014, contained 4,000 bottles of wine worth millions of dollars. The couple was accused of selling the stolen wines to collectors in various parts of Spain, and they were eventually apprehended and brought to justice.

In Spain, the couple was sentenced to a total of 12 years in jail. They were also ordered to pay almost $1.7 million in damages to the vineyards that were robbed. It was discovered that the couple had been doing this for over 10 years before being caught, which indicates that they had accumulated a significant fortune from their heists.

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in linear regression, what are we trying to forecast? a) Beta parameter
b) Dependent variable
c) Independent variable
d) Y-intercept of the linee

Answers

In linear regression, we are trying to forecast the dependent variable based on the independent variable.

Option C is the correct answer.

We have,

In linear regression, the dependent variable is the outcome variable or the response variable that we want to predict or explain, while the independent variable is the predictor variable or explanatory variable that helps us in predicting the dependent variable.

The beta parameter and y-intercept are coefficients of the linear regression equation that help in determining the relationship between the dependent and independent variables.

Thus,

In linear regression, we are trying to forecast the dependent variable based on the independent variable.

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In 2014, Congress cut $8.7 billion from the Supplemental Nutrition Assistance Program (SNAP), more commonly referred to as food stamps. The rationale for the decrease is that providing assistance to people will result in the next generation of citizens being more dependent on the government for support. Hoynes (2012) describes a study to evaluate this claim. The study examines 60,782 families over the time period of 1968 to 2009 which is subsequent to the introduction of the Food Stamp Program in 1961. This study examines the impact of a positive and policy-driven change in economic resources available in utero and during childhood on the economic health of individuals in adulthood. The study assembled data linking family background in early childhood to adult health and economic outcomes. The study concluded that the Food Stamp Program has effects decades after initial exposure. Specifically, access to food stamps in childhood leads to a significant reduction in the incidence of metabolic syndrome (obesity, high blood pressure, and diabetes) and, for women, an increase in economic self-sufficiency. Overall, the results suggest substantial internal and external benefits of SNAP. a. Identify the population that is of interest to the researchers. b. Describe the sample. c. What characteristics of the population are of interest to the researchers

Answers

Main AnswerIn the study by Hoynes (2012), the population that is of interest to the researchers are families who receive Supplemental Nutrition Assistance Program (SNAP) or more commonly known as food stamps. The study examines the impact of the policy-driven change in economic resources available in utero and during childhood on the economic health of individuals in adulthood.

The sample that the study examines are 60,782 families over the time period of 1968 to 2009, which is subsequent to the introduction of the Food Stamp Program in 1961. The data links family background in early childhood to adult health and economic outcomes.The characteristics of the population that are of interest to the researchers are the impact of a positive and policy-driven change in economic resources available in utero and during childhood on the economic health of individuals in adulthood. Specifically, the researchers looked at the long-term effect of access to food stamps in childhood on the incidence of metabolic syndrome (obesity, high blood pressure, and diabetes) and an increase in economic self-sufficiency for women.

Based on the study, the researchers concluded that access to food stamps in childhood leads to a significant reduction in the incidence of metabolic syndrome and, for women, an increase in economic self-sufficiency. Hence, the results suggest substantial internal and external benefits of SNAP.

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Find a root of an equation f(x)=x³-3x-1 between -1 and 1, using False Position method, after the second iteration.

Answers

The root of the equation \(\(f(x) = x^3 - 3x - 1\)\) between -1 and 1, after the second iteration of the False Position method, is approximately -1.

How to find the root of the equation \(\(f(x) = x^3 - 3x - 1\)\)

The False Position method involves finding the x-value that corresponds to the x-intercept of the line passing through \(\((a, f(a))\)\) and \(\((b, f(b))\),\)where (a) and (b) are the endpoints of the interval.

Let's begin the iterations:

Iteration 1:

\(\(a = -1\), \(f(a) = (-1)^3 - 3(-1) - 1 = -3\)\)

\(\(b = 1\), \(f(b) = (1)^3 - 3(1) - 1 = -3\)\)

The line passing through (-1, -3) and (1, -3) is (y = -3). The x-intercept of this line is at (x = 0).

Therefore, the new interval becomes [0, 1] since the sign of f(x) changes between\(\(x = -1\) and \(x = 0\).\)

Iteration 2:

\(\(a = 0\), \(f(a) = (0)^3 - 3(0) - 1 = -1\)\)

\(\(b = 1\), \(f(b) = (1)^3 - 3(1) - 1 = -2\)\)

The line passing through\(\((0, -1)\) and \((1, -2)\) is \(y = -x - 1\)\). The x-intercept of this line is at (x = -1).

After the second iteration, the new interval becomes [-1, 1] since the sign of f(x) changes between (x = 0) and (x = -1).

Therefore, the root of the equation \(\(f(x) = x^3 - 3x - 1\)\) between -1 and 1, after the second iteration of the False Position method, is approximately -1.

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let f(x) be the function f(x)={x2−c4x 5cfor x<5,for x≥5. find the value of c that makes the function continuous. (use symbolic notation and fractions where needed.) c=

Answers

The value of c that makes the function f(x) continuous is c = 25/4.

To find the value of c that makes the function f(x) continuous, we need to ensure that the function is continuous at x = 5. For a function to be continuous at a point, the left-hand limit and the right-hand limit at that point must be equal, and the value of the function at that point must also be equal to the limit.

For x < 5, the function is given by f(x) = x^2 - c/4x. To find the left-hand limit as x approaches 5, we substitute x = 5 into the function and simplify: lim(x→5-) f(x) = lim(x→5-) (x^2 - c/4x) = 5^2 - c/4 * 5 = 25 - 5c/4.

For x ≥ 5, the function is given by f(x) = c. To find the right-hand limit as x approaches 5, we substitute x = 5 into the function: lim(x→5+) f(x) = lim(x→5+) c = c.

To make the function continuous at x = 5, we equate the left-hand limit and the right-hand limit and set them equal to the value of the function at x = 5: 25 - 5c/4 = c. Solving this equation for c, we find c = 25/4. Therefore, the value of c that makes the function f(x) continuous is c = 25/4.

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The value of c that makes the function continuous is c = 5/6.

To find the value of c that makes the function continuous, we need to ensure that the two pieces of the function, defined for x < 5 and x ≥ 5, match at x = 5.

First, let's evaluate f(x) = x² - c when x < 5 at x = 5:

f(5) = (5)² - c

= 25 - c

Next, let's evaluate f(x) = 4x + 5c when x ≥ 5 at x = 5:

f(5) = 4(5) + 5c

= 20 + 5c

Since the function should be continuous at x = 5, the values of f(x) from both pieces should be equal.

Therefore, we set them equal to each other and solve for c:

25 - c = 20 + 5c

Let's simplify the equation:

25 - 20 = 5c + c

5 = 6c

Dividing both sides by 6:

c = 5/6

So, the value of c that makes the function continuous is c = 5/6.

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Complete question =

Let f(x) be the piecewise function

f(x) = {x²-c for x < 5,

        4x+5c for x≥5}

find the value of c that makes the function continuous. (use symbolic notation and fractions where needed.)

The six numbered squares below are placed in a bag. If you randomly select one square from the bag, what is the probability you will select an even number? 255 256 260 263 264 270​

Answers

Probability to choose an even numbered squares is 2/3.

Given that there are 6 squares in the bag.

They are numbered as 255, 256, 260, 263, 264, 270.

Even numbered squares are 256, 260, 264, 270

Here number of even numbered squares is = 4

So the according to definition the probability to choose an even numbered squares from the bag is = 4/6 = 2/3.

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Which of the following is a trinomial with a constant term?
O A. X
O B. x³ + y 4
OC. + 8y³ +64y
OD. x+ 2y + 10

Answers

The answer is D,
A trinomial is simply an expression with 3 terms and a constant is pretty much a set value number that isn’t paired with a variable. So using this, D is the only answer that meets all of these definitions.

20. What is the greatest prime factor of 3^7+6^6 ?

Answers

Answer:

67

Step-by-step explanation:

3^7 = 2187

6^6 = 46656

46656+2187=48843

Prime factors of 48843: 3, 3, 3, 3, 3, 3, 67

Factor tree:

48843

| \  

16281   3

| \  

5427   3

| \  

1809   3

| \  

603   3

| \  

201   3

| \  

67   3

please explain this. thank you

please explain this. thank you

Answers

Answer:

Below

Step-by-step explanation:

We can just plug in 3 for k and solve :

     x - 1 / 3 = 3

Step 1. Multiply both sides by 3

     x - 1 = 9

Step 2. Move the -1 to the other side and change the sign

     x = 9 + 1

     x = 10

We can check to see if this works :

     10 - 1 / 3 = k

     9 / 3 = k

           3 = k so this is correct

Hope this helps!

In a survey, 16 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $35 and standard deviation of $4. Find the margin of error at a 90% confidence level.

Answers

The margin of error at a 90% confidence level is approximately $1.645.

To find the margin of error at a 90% confidence level, we can use the formula:

Margin of Error = Z * (σ / √n)

Where:

Z is the z-score corresponding to the desired confidence level. For a 90% confidence level, the z-score is approximately 1.645.

σ is the population standard deviation, which is given as $4.

n is the sample size, which is 16.

Plugging in the values:

Margin of Error = 1.645 * ($4 / √16)

              = 1.645 * ($4 / 4)

              = 1.645 * $1

              = $1.645

Therefore, the margin of error at a 90% confidence level is approximately $1.645.

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What is the result of adding these two equations?

What is the result of adding these two equations?

Answers

Answer:

I HAVE NO IDEA ALL IK IS U ADD THEM

Step-by-step explanation:

The total number of dollars donated each year to a small charitable
organization has followed the trend d(t) = 2t + 10t2 + 2000t + 10,000,
where d is dollars and t is the number of years since 1990. the total
number of donors each year has followed the trend p(t) = ? + 1000.
write an expression describing the average number of dollars per donor.

Answers

The average number of dollars per donor is [10(1000 + 2020n + 100n²)] / [? + 1000].

where d is in dollars and t is the number of years since 1990. The function for the total number of donors each year is p(t) = ? + 1000

The expression describing the average number of dollars per donor can be found by dividing the total amount of dollars donated by the total number of donors:

Average = Total dollars donated / Total number of donors

Since the function for the total number of donors, each year is given as p(t) =? + 1000, we do not know the exact value of p(t) and therefore cannot find the total number of donors.

However, we can still simplify the expression for the average number of dollars per donor using the given function for d(t). The total amount of dollars donated from year t=0 to year t=n is given by:

d_total = [2(0) + 10(0²) + 2000(0) + 10,000] + [2(1) + 10(1²) + 2000(1) + 10,000] + ... + [2(n) + 10(n²) + 2000(n) + 10,000]

Factoring out the common factor of 10 from each term:

d_total = 10[2000(0) + 100(0²) + 20(0) + 1000] + 10[2000(1) + 100(1²) + 20(1) + 1000] + ... + 10[2000(n) + 100(n²) + 20(n) + 1000]

Using the formula for the sum of an arithmetic sequence, the sum can be simplified as:

d_total = 10[1000 + 2020n + 100n²]

The total number of donors from year t=0 to year t=n is given by:

p_total = ? + 1000

The average number of dollars per donor is therefore:

Average = Total dollars donated / Total number of donors

Average = [10(1000 + 2020n + 100n²)] / [? + 1000]

Answer: [10(1000 + 2020n + 100n²)] / [? + 1000]

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