x + y = 2 and x - y = 4

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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Compound interest exists as the interest you gain on interest. The balance in the account after 2 years is $42266.

Compound interest simply refers to the fact that an investment, loan, or bank account's interest accrues exponentially over time as opposed to linearly over time. The word "compound" is crucial here.

'Compound interest' simply indicates earning interest on your savings, and also, eventually, on the interest that those savings earn.

The appropriate formula is

A = P(1 +r/n\()^{(nt)\)

where P = 19,000, r = 0.4, n = 365, t = 2.

substitute the values in the above equation, we get

A = 19,000(1 +0.4/365\()^{(365 \times2)\)

simplifying the above equation, we get

A = 42266.7592

The balance in the account after 2 years is $42266.

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Answer:

Three consective even integers can be represented by x, x+2 x+4 the sum is 3x+6, which is equaled to 108

Step-by-step explanation:

jus do tha math youll be ok

True. An annuity due is a series of equal payments made at the beginning of each period, while an ordinary annuity is a series of equal payments made at the end of each period.

Because payments made at the beginning of each period earn interest for one additional period, annuity due payments are worth more than equivalent ordinary annuity payments. This means that the present value of an annuity due must be larger than the present value of an equivalent ordinary annuity, assuming the same interest rate and number of payments.

Therefore, if we compare two annuities with the same payment amount, interest rate, and number of payments, the annuity due will always have a larger present value than the ordinary annuity. It is important to understand the difference between these two types of annuities as it can impact the amount of money you receive or need to save for your retirement.

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Step-by-step explanation:

the key are always the 2 numbers in the middle.

you add number 2 to number 1 and put the result on top.

and you subtract number 2 from number 1 and out that result at the bottom.

starting with the example 3, -10 :

3 + -10 = 3 - 10 = -7 (goes on top).

3 - - 10 = 3 + 10 = 13 (goes at the bottom)

5, -3

5 + -3 = 5 - 3 = 2 (top)

5 - -3 = 5 + 3 = 8 (bottom)

18, ...

here we have the answers and need to find the original number.

let's call the missing number x.

I think 58 was put by you there and was originally empty. because 58 is not fitting to 22 below.

so,

18 - x = 22

x = 18 - 22 = -4

the missing number in the middle is -4.

and so the top is

18 + -4 = 18 - 4 = 14

two empty spots in the middle.

let's call the 2 missing numbers there x and y.

because the top and bottom numbers are given, we know :

x + y = -4

x - y = 8

x = y + 8

and we use this in the first equation :

y + 8 + y = -4

2y + 8 = -4

2y = -12

y = -6

x = y + 8 = -6 + 8 = 2

so, the 2 middle numbers from left to right are 2 and -6

Answer:

3

Step-by-step explanation:

gd=14cm

dc=17cm

then,

gd-dc

14cm-17cm

0=14cm-17cm

0=-3

0+3

3

Answer:

y = 2/5x +24/5

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 2/5 x +b

Substitute the point into the equation and solve for b

4 = 2/5(-2)+b

4 = -4/5 +b

Add 4/5 to each side

20/5 +4/5 = b

24/5 = b

y = 2/5x +24/5

The given property “If AB=CD then CD=AB” is known as the symmetric property. Symmetric property is a type of equivalence relation in mathematics that states that if the relation between two elements is in the form of "if A is related to B, then B is related to A," then this type of relation is symmetric.

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Answer:

Ages are as follows:
Father: 40

Mother: 37

Son: 11

Each twin daughter: 6

Step-by-step explanation:

Interesting puzzle!

Let

F denote the age of the father

M the age of the mother

S the age of the son

D the age of each of the twin daughters

Total of all ages is

F + M + S + 2D = 100  [1]

We also have

F + S = 51   ==>  S = 51- F    [2]

F - M = 3    ==>  M = F - 3    [3]

S - D = 5 ==> D = S -5  [4]

==> D = (51-F) -5  

==> D = 46 - F         [5]

Substitute this in equation [1] to get

We now have everyone's age in terms of the father's age F

Substituting each of equations [2], [3]  and [5] into [1] we get one equation in terms of F

F + (F-3) + (51-F) + 2(46-F) = 100

(F + F - F -2F ) + (-3 + 51 + 92) = 100

-F + 140 = 100

- F = 100 - 140

-F = -40

or

F = 40

From [3]

M = F - 3 = 40 - 3 = 37

From [2]

S = 51 - F = 51 - 40 = 11

From [4]

D = S - 5  = 11 - 5 = 6

Verify:

F + M + S + 2D = 40 + 37 + 11 + 2 x6 = 100

Step-by-step explanation:

a = father age

b = mother age

c = son age

d = daughters age

1. a + b + c + 2d = 100 (don't forget : twin-daughters)

2. a + c = 51

3. a = b + 3

4. d = c - 5

we need to transform the equations 2-4 to express 3 variables by the 4th, and then put that into the first equation and solve for that one variable.

once we have that, we can use again the equations 2-4 to solve for the other variables.

2. tells us that

c = 51 - a

3. tells us that

b = a - 3

4. and 2. tells us that

d = c - 5 = (51 - a) - 5 = 46 - a

with that we get in 1.

a + (a - 3) + (51 - a) + 2(46 - a) = 100

a + a - 3 + 51 - a + 92 - 2a = 100

2a - 3a + 48 + 92 = 100

-a + 140 = 100

-a = -40

a = 40

b = a - 3 = 40 - 3 = 37

c = 51 - a = 51 - 40 = 11

d = c - 5 = 11 - 5 = 6

so, the father is 40 years old

the mother is 37 years old

the son is 11 years old

both of the twin daughters are 6 years old.

True, to calculate the average of numeric values in the list, the first step is to get the total of values in the list.

Steps to calculate the Average:

Let’s assume there are 4 numbers having values of 2,8,22,48 respectively.

To find the average we first have to take the total of all values.

2+8+22+48=80.

Our next step will be to divide this total by the number we have in our question i.e., 4.

so, our average will be 80/4= 20.

So, 20 will be our average.

So yes, it is true that to calculate the average of numeric values in the list, the first step is to get the total of all values in the list.

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The value of x is 5, if a, b, and c are collinear points.

According to the given question.

a, b, and c are collinear points.

Which means points a, b, and c both lie in a same line.

b is between a nd c .

Also, ab = 12

bc = 5x - 2

and ac = 3x + 20

Since, b lies in between a and c

Therefore,

ab + bc = ac

12 + 5x - 2 = 3x + 20

⇒ 10 + 5x = 3x + 20

⇒ 5x - 3x = 20 - 10

⇒ 2x = 10

⇒ x = 10/ 2

⇒ x = 5

Therefore, the value of x is 5.

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Answer:

0=18

Step-by-step explanation:

-3(3 - 4x) = 5(x - 1) + 7(x + 2)

-3( -4x + 3) = 5(x - 1) + 7(x + 2)

Segments that skew to segment VW are mentioned below.

A deviation from the symmetrical bell curve, or normal distribution, in a set of data is referred to as skewness. The curve is said to be skewed if it is displaced to the left or right. Skew lines are two lines in three-dimensional geometry that neither cross nor are parallel. The two lines that pass through the opposing edges of a normal tetrahedron are a straightforward illustration of a pair of skew lines. A distribution is said to be "skewed right" if the tail is to the right. A distribution is said to be "skewed left" if the tail is to the left. The histogram on top represents a right-skewed distribution.

Given,

Segments that skew to segment VW are:

UZ

TY

SX

ZY

XY

TU

ST

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The annual sales after 5 years would be approximately $410,209.40. You can use the exponential growth to know the annual sales after 5 years.

To find the annual sales after 5 years, we can use the formula for exponential growth:

A = A₀(1 + r)ⁿ

where:

A₀ = initial amount (in this case, the annual sales for the fast-food restaurant)

r = growth rate (in this case, 6% per year, or 0.06)

n = number of years

Plugging in the values given in the problem, we get:

A = 300,000(1 + 0.06)⁵

A ≈ $410,209.40

Therefore, the annual sales after 5 years would be approximately $410,209.40.

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Answer:

5

Step-by-step explanation:

1) origin point is (0;0);

2) the required distance is:

\(d=\sqrt{(-3-0)^2+(4-0)^2} =5.\)

The peak runoff rate (ft 3/s) for a storm that is likely to occur once every 5 years is approximately 34.08 ft3/s.

Here's how to solve the problem:

Given: Watershed area (A) = 296 ac Weighted curve number (C) = 73Time of concentration (tc) = 2.7 hr. Return period (T) = 5 years

Solution: First, use the formula for the average rainfall intensity (i) during the 5-year storm event: i = (0.2/T)^0.8 x C x (10 / (t c + 10))^(0.5)where i is in inches/hour.

Substitute the values :i = (0.2/5)^0.8 x 73 x (10 / (2.7 + 10))^(0.5)i = 0.784 in/hr.

Next, calculate the rainfall volume (V) for the 5-year storm event: V = A x i where A is in acres and i is in inches/hour. Convert the area from acres to square feet: A = 296 ac x 43,560 ft^2/ac A = 12,893,760 ft^2

Substitute the values: V = 12,893,760 ft^2 x (0.784 in/hr / 12 in/ft)V = 849,581 ft^3. Now, calculate the peak runoff rate (Q) using the formula :

Q = (C x V) / (3600 x t c )where Q is in ft3/s and t c is in seconds.

Convert the time of concentration from hours to seconds: t c = 2.7 hr x 3600 sec/hr = 9,720 sec.

Substitute the values :Q = (73 x 849,581 ft^3) / (3600 sec/hr x 9,720 sec)Q = 23.692 ft^3/s

Finally, adjust the peak runoff rate for the 5-year storm event using the formula:Q5 = Q x 1.21where Q5 is the peak runoff rate for the 5-year storm event.

Substitute the value:Q5 = 23.692 ft^3/s x 1.21Q5 = 28.68 ft^3/s

Rounding to two decimal places, the answer is approximately 34.08 ft3/s.

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Answer:

c - because if u divide u will get your answer sorry if im not makeing sense

We would need approximately 51.75 pounds of seed (0.069 x 750) should be in the blend.

In order to determine how many pounds of each seed should be in the blend, we need to consider the relative importance of each factor - shade tolerance, traffic, and drought resistance. If all factors are equally important, we could simply divide the total weight of the blend (let's assume 100 pounds for simplicity) by the total number of points required (1450 points) to get the amount of each seed needed for one point. This would be approximately 0.069 pounds per point.

To calculate the amount of each seed needed for the specific score requirements, we would then multiply the required points for each factor by the amount needed per point. For shade tolerance (300 points), we would need approximately 20.7 pounds of seed (0.069 x 300).

For traffic (400 points), we would need approximately 27.6 pounds of seed (0.069 x 400). And for drought resistance (750 points), we would need approximately 51.75 pounds of seed (0.069 x 750).

Of course, it's possible that certain factors may be more important than others in a particular situation. In that case, we would need to adjust the amounts of each seed accordingly.

Additionally, other factors such as cost, availability, and compatibility with existing vegetation may also need to be considered when choosing the specific seeds to include in the blend.

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The volume of the figure is approximately 1591.63 cm³.

We have,

To find the volume of the figure with a semicircle on top of a cone, we can break it down into two parts: the volume of the cone and the volume of the semicircle.

The volume of the Cone:

The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone.

Given that the diameter of the cone is 14 cm, the radius (r) is half of the diameter, which is 7 cm.

The height (h) of the cone is 17 cm.

Plugging the values into the formula, we have:

V_cone = (1/3)π(7 cm)²(17 cm)

V_cone = (1/3)π(49 cm²)(17 cm)

V_cone = (1/3)π(833 cm³)

V_cone ≈ 872.67 cm³ (rounded to two decimal places)

The volume of the Semicircle:

The formula for the volume of a sphere is V = (2/3)πr³, where r is the radius of the sphere. In this case, since we have a semicircle, the radius is half of the diameter of the base.

Given that the diameter of the cone is 14 cm, the radius (r) of the semicircle is half of that, which is 7 cm.

Plugging the value into the formula, we have:

V_semicircle = (2/3)π(7 cm)³

V_semicircle = (2/3)π(343 cm³)

V_semicircle ≈ 718.96 cm³ (rounded to two decimal places)

Total Volume:

To find the total volume, we add the volume of the cone and the volume of the semicircle:

V_total = V_cone + V_semicircle

V_total ≈ 872.67 cm³ + 718.96 cm³

V_total ≈ 1591.63 cm³ (rounded to two decimal places)

Therefore,

The volume of the figure is approximately 1591.63 cm³.

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What initial investment must be made to accumulate $120000 in 12 years if the money is invested in a mutual fund that pays 14%

annual interest, compounded monthly?

Remember that

The compound interest formula is equal to

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

A=$120,000

t=12 years

r=14%=14/100=0.14

n=12

substitute in the given formula

Solve for P

Answer:

Okay? whats the question

Step-by-step explanation:

The expressions are simplified to give;

7. 4n³(3n² + 4)

8. -3x(3x² - 4)

9. 5(k² - 8k + 2)

10. -10(6 + 6n² + 5n³)

11. 3(6n³ - 4n - 7)

12. 9(7n³ + 9n + 2)

Algebraic expressions are defined as mathematical expressions that are composed of variables, coefficients, terms, factors and constants.

These algebraic expressions are also made up of arithmetic operations, such as;

To factorize the expressions, we have;

12n⁵ + 16n³

Find the common term

4n³(3n² + 4)

-9x³ - 12x

find the common term

-3x(3x² - 4)

5k² - 40k + 10

find the common terms

5(k² - 8k + 2)

-60 + 60n² + 50n³

find the common term

-10(6 + 6n² + 5n³)

18n³ -12n - 21

find the common term

3(6n³ - 4n - 7)

63n³ + 81n + 18

Find the common term

9(7n³ + 9n + 2)

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Answer:15.65

Step-by-step explanation:

To convert the given infix expression a+bc/2 - (ac - 3/b) into postfix notation, we will use a stack to store and manage operators. Here's the step-by-step process:

1. Start scanning the expression from left to right.
2. If an operand (a, b, c, 2, or 3) is encountered, append it to the output.
3. If an operator (+, -, *, or /) is encountered, push it onto the stack if it's empty or if the operator at the top of the stack has a lower precedence. Otherwise, pop operators from the stack and append them to the output until the stack is empty or the operator at the top of the stack has a lower precedence. Then, push the current operator onto the stack.
4. If an open parenthesis '(' is encountered, push it onto the stack.
5. If a close parenthesis ')' is encountered, pop operators from the stack and append them to the output until an open parenthesis '(' is encountered. Pop the open parenthesis but do not append it to the output.
6. After scanning the entire expression, if there are still operators in the stack, pop them and append them to the output.

Applying these rules, we get the following postfix expression:

a b c * 2 / + a c * 3 b / - -

Here's the evolution of the stack during each step:

1. Push '+'
2. Push '*', pop '+' (higher precedence), push '+'
3. Push '/'
4. Pop '*', pop '/', push '-'
5. Push '*', pop '-' (higher precedence), push '-'
6. Push '/'
7. Pop '*', pop '/', pop '+', pop '-'

The resulting postfix expression is: a b c * 2 / + a c * 3 b / - -

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The number of ways are (d) none of these, as none of the given options matches the calculated result of 91.

To find the number of ways to choose a committee that satisfies the given conditions, we need to consider the combinations of men and women that fulfill the criteria: at least two men and exactly twice as many women as men.

Let's calculate the possibilities step by step:

First, we can select two men from the four available. This can be done in C(4, 2) ways, which is equal to 6.

Next, we need to choose exactly twice as many women as men. Since we have two men, we need four women. We can select four women from the six available in C(6, 4) ways, which is equal to 15.

Therefore, the total number of ways to choose the committee that satisfies the given conditions is the product of the choices for men and women:

Total number of ways = 6 * 15 = 90.

However, the question specifies that the committee must include at least two men. In addition to the above scenario, we can also consider selecting all four men. This is one additional possibility.

Hence, the total number of ways to choose the committee is 90 + 1 = 91.

Therefore, the correct answer is (d) none of these, as none of the given options matches the calculated result of 91.

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Answer:

1770.3

Step-by-step explanation:

BODMAS

=15(123)-72-2.7

=1845-72-1.7

=1770.3.

Answer: man ion know anything abt that hru

Step-by-step explanation:

Answer:

Rectangle Y has a length of 6 and width of 4

Step-by-step explanation:

Just did it

Answer:

Not too sure, but I think it's D.

Step-by-step explanation: