In a recent election, 63% of all registered voters participated in voting. In a survey of 275 retired voters, 162 participated in voting. Which is higher, the population proportion who participated or the sample proportion from this survey?

The answers to the multiple-choice questions are as follows:

Converse: C. If you are not awake, then you are in class.

Inverse: OB. If you are not in class, then you are awake.

Contrapositive: OC. If you are awake, then you are not in class.

The converse, inverse, and contrapositive of the given statement "If you are in class, then you are not awake" are as follows:

Converse: If you are not awake, then you are in class.

The converse swaps the positions of the hypothesis and conclusion.

Inverse: If you are not in class, then you are awake.

The inverse negates both the hypothesis and the conclusion.

Contrapositive: If you are awake, then you are not in class.

The contrapositive negates both the hypothesis and the conclusion and swaps their positions.

Therefore, the answers to the multiple-choice questions are as follows:

Converse: C. If you are not awake, then you are in class.

The converse statement reflects the swapped positions of being awake and being in class.

Inverse: OB. If you are not in class, then you are awake.

The inverse statement reflects the negation of both being in class and being awake.  

Contrapositive: OC. If you are awake, then you are not in class.

The contrapositive statement reflects the negation of both being in class and being awake, while swapping their positions.

Note: The provided option "You are not in place or you are not awake" does not correspond to any of the converse, inverse, or contrapositive statements.

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Answer:

y=45u

Step-by-step explanation:

4 with a 5 try adding / bc its supposed to be like a check sin

Answer:

5/90

Step-by-step explanation:

5/90 is the answer

Answer: 351

Step-by-step explanation:

1/2 of the triangular prism is 3*6.5*9=175 and we have two prisms so therefore we multiply by 2 and get 351 meters.

Answer:

Step-by-step explanation:

V= Bh      where B=area of Base          h=height of shape

                                                               h=9

B= 1/2 bh    this h is h of the triangle base, different then h above

B= 1/2 (5)(6.5)

B=16.25

V=Bh

V= 16.25*9

V=146.25 in³

Answer:

130°

Step-by-step explanation:

∠JDG and ∠EDF are opposite angles. The measures of arcs for opposite angles always add up to 180°. Since the arc for ∠JDG is 50°, the arc for ∠EDF has to be 130°, because 50 + 130 = 180.

The AAA (angle-angle-angle) similarity theorem can be used to express it as follows: two triangles have equal corresponding angles if and only if their corresponding sides are proportionate.

The Angle-Angle-Angle (AAA) criterion for the similarity of triangles states that “If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion) and hence the two triangles are similar”.

Proof:

Consider two triangles ABC and DEF, such that ∠A = ∠D, ∠B = ∠E and ∠C = ∠F as shown in the figure.

Now, cut DP= AB and DQ= AC and join PQ. Hence, we can say that a triangle ABC is congruent to the triangle DPQ.

(i.e) ∆ ABC ≅ ∆ DPQ, which gives ∠B = ∠P = ∠E and also, the line PQ is parallel to EF.

Therefore, by using the basic proportionality theorem, we can write

DP/PE = DQ/QF.

(i.e) AB/DE = AC/DF. …(1)

Similarly,

AB/DE = BC/EF …(2)

From (1) and (2), we can write:

AB/DE = BC/EF = AC/DF.

Therefore, the two triangles ABC and DEF are similar.

Hence, AAA(Angle-angle-angle) is proved.

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In a case whereby the sum of two consecutive numbers is 25 the largest of the consecutive numbers is 13.

Given that sum of two consecutive numbers is 25 , ans we were required to locatye the  largest of the consecutive numbers. The we can represent the consecutive numbers as x and x+1. According to the problem, the sum of these two consecutive numbers is 25:

x + (x+1) = 25

Simplifying the left side of the equation:

2x + 1 = 25

2x = 24

Dividing both sides by 2:

x = 12

So the first consecutive number is 12. The second consecutive number is 12 + 1 = 13. Therefore, the largest of the consecutive numbers is 13.

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Answer:

\(\sqrt[3]{3}\)

Step-by-step explanation:

We are required to simplify the quotient: \(\dfrac{\sqrt[3]{60} }{\sqrt[3]{20}}\)

Since the numerator and denominator both have the same root index, we can therefore say:

\(\dfrac{\sqrt[3]{60} }{\sqrt[3]{20}} =\sqrt[3]{\dfrac{60} {20}}\)

\(=\sqrt[3]{3}\)

The simplified form of the given quotient is \(\sqrt[3]{3}\).

The quotient of an expression is gotten by dividing the expression by another algebraic expression

The result of the given quotient is \(\sqrt[3]{3}\)

The expression is given as:

\(\frac{\sqrt[3]{60}}{\sqrt[3]{20}}\)

Rewrite the above expression as follows:

\(\frac{\sqrt[3]{60}}{\sqrt[3]{20}} = \sqrt[3]{\frac{60}{20}}\)

Divide 60 by 20

\(\frac{\sqrt[3]{60}}{\sqrt[3]{20}} = \sqrt[3]{3}\)

Hence, the result of the given quotient is \(\sqrt[3]{3}\)

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To determine the placement of 4.7 on a number line between two decimals, 4/7 should be placed between the pair of decimals 0.57 and 0.58 on a number line.

The number 4.7 falls between the integers 4 and 5, so we need to find the decimal values that come after 4 and before 5.  The decimal value that comes after 4 is 4.1, and the decimal value that comes before 5 is 4.9.
1. Convert the fraction 4/7 to a decimal.
2. Identify the two consecutive decimals on the number line that the converted decimal falls between.

Step 1: Convert 4/7 to a decimal.
To do this, divide the numerator (4) by the denominator (7):
4 ÷ 7 ≈ 0.5714 (rounded to 4 decimal places)

Step 2: Identify the two consecutive decimals.
Now, we know that 0.5714 is the decimal equivalent of 4/7. To determine the pair of decimals on the number line, we can see that 0.5714 falls between 0.57 and 0.58.

So, 4/7 should be placed between the pair of decimals 0.57 and 0.58 on a number line.

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The only matrix that is symmetric and antisymmetric at the same time is the square null matrix. The correct option is True.

This refers to a matrix that has all its elements equivalent to zero. A zero matrix contains only zeros as its elements. It is also known as a null matrix. A zero matrix can also be a square matrix. A zero matrix is denoted by zeros 'O'.

When elements of a matrix are made up of exactly similar parts facing each other or around an axis the matrix is referred to as a symmetrical matrix.

When elements of a matrix are made up of parts that fail to correspond to one another in shape, size, or arrangement the matrix is referred to as an asymmetrical matrix.

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Answer:

It might just be me but the pic is super blurry could you possibly get a better one?

Step-by-step explanation:

Told to walk in first week = 5km

Told to walk in second week = 8km

Told to walk in third week = 11km

It is forming a pattern,

5km      8km      11km       ..........

     +3       +3        +3

5km      8km     11km     14km     17km     20km    23km     26km   29km     32km

    +3       +3        +3       +3        +3        +3        +3         +3      +3  

The patient has to walk 32km in the 10th week.

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Answer:

You are correct, it is B.

Step-by-step explanation:

The average rate of change of the function f(x) in the interval \(-3 \leq x\leq -2\) is -15.

We are given an interval in which we have to find the average rate of change of the function f(x) based on the graph given in the question. The interval given is -3 \(\leq\) x \(\leq\) -2. We are going to apply the formula for an average rate of change to find the rate of change of the given function in the given interval.

The formula we will use is

The average rate of change = \(\frac{f(b) - f(a) }{b - a}\)

Identifying the points in the graph,

a = 3, f(a) = -10

b = -2, f(b) = -25

We will substitute these values in the formula for the average rate of change.

The average rate of change = \(\frac{-25-(-10)}{-2-(-3)}\)

The average rate of change = ( -25 + 10)/(-2 +3)

= -15/1

= -15.

Therefore, the average rate of change of the function in the interval \(-3 \leq x \leq -2\) is -15.

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The complete question is "The function y=f(x)y=f(x) is graphed below. What is the average rate of change of the function f(x)f(x) on the interval -3\le x \le -2 −3≤x≤−2? "

Answer: $22.50

Step-by-step explanation:

Let x be the cost per pound of the secret-formula coffee beans.

The total cost of the secret-formula beans is 12x dollars.

The total cost of the other beans is 15 × 18 = 270 dollars.

The total cost of the mix is (12 + 15) × 20 = 540 dollars.

Since the barista mixed 12 pounds of the secret-formula beans with 15 pounds of the other beans, the total weight of the mix is 12 + 15 = 27 pounds.

We can set up an equation based on the total cost of the mix:

12x + 270 = 540

Subtracting 270 from both sides:

12x = 270

Dividing both sides by 12:

x = 22.5

Therefore, the barista's secret-formula coffee beans cost $22.50 per pound.

Answer:

The measure of the hypotenuse squared is equal to the sum of the side measures squared.

Step-by-step explanation:

I used process of elimination to find the odd one out. All of the other facts are true hence the last one is wrong.

Answer:

\(2^{\frac{1}{27} }\)

Step-by-step explanation:

→ Write in number format

∛∛∛2

→ Rewrite

\(2^{\frac{1}{3} } *2^{\frac{1}{3} } *2^{\frac{1}{3} }\)

→ Simplify

\(2^{\frac{1}{27} }\)

Answer:

2^(1/27).

Step-by-step explanation:

That would be   [(2)^1/3)^1/3]^1/3

= 2^1/3*1/3*1/3)

= 2^(1/27)

The justification of each step in solving the inequality is;

⇒ - 21 - 56x + 5x ≤ 1 − 62x    (Distributive property)

⇒ - 21 - 51x ≤ 1 − 62x            (Subtraction property of order)

⇒ - 21 + 11x ≤ 1                       (Addition property of order)

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

The inequality is given as;

−7 (3 + 8x) + 5x ≤ 1 − 62x

Now, Find the justification of each step in solving the inequality as;

The inequality is solve as,

−7 (3 + 8x) + 5x ≤ 1 − 62x

                                      (Given)

- 21 - 56x + 5x ≤ 1 − 62x

                                    (Distributive property)

- 21 - 51x ≤ 1 − 62x

                                    (Subtraction property of order)

- 21 + 11x ≤ 1

                                     (Addition property of order)

11x ≤ 22

                                     (Addition property of order)

x ≤ 2

                                     ( Division property of order )

Hence, The justification of each step in solving the inequality is;

⇒ - 21 - 56x + 5x ≤ 1 − 62x    (Distributive property)

⇒ - 21 - 51x ≤ 1 − 62x             (Subtraction property of order)

⇒ - 21 + 11x ≤ 1                        (Addition property of order)

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The time necessary for p dollars to double when it is invested at interest rate r compounded annually is given by the formula:

t = (ln 2) / (r ln (1 + r))

When compounded monthly, the formula becomes:

t = (ln 2) / (12 r ln (1 + r/12))

When compounded daily, the formula becomes:

t = (ln 2) / (365 r ln (1 + r/365))

When compounded continuously, the formula becomes:

t = ln 2 / (r)

Note that ln is the natural logarithm function.

To use these formulas, you need to know the value of the interest rate r. For example, if r is 5%, then:

When compounded annually, t = (ln 2) / (0.05 ln 1.05) = 13.86 years
When compounded monthly, t = (ln 2) / (12 x 0.05 ln 1.0041) = 14.21 years
When compounded daily, t = (ln 2) / (365 x 0.05 ln 1.000137) = 14.27 years
When compounded continuously, t = ln 2 / (0.05) = 13.86 years

Therefore, the time necessary for p dollars to double depends on the interest rate and the frequency of compounding. Generally, the more frequently the interest is compounded, the shorter the time necessary for p dollars to double.

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1) The square root of 8 is the least, since 3^2 equals 9, and 8 is less than 9, so its the least.

2) Then the cube root of 27, because 3 cubed is equal to 27

3) Finally, pi is the largest since it equals 3.142.

Good luck with your grades.

root 8 < pi < cube root 27

Answer:

BF, CG and AE

Step-by-step explanation:

They are all equal to DH and should be correct.

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The slope of the line through each pair of points. (-5,-7) and (0,10) is 17 / 5

A line's slope often indicates the steepness and direction of the line. By calculating the difference between the coordinates of the two locations, (x1,y1) and (x2,y2), it is simple to calculate the slope of a straight line between them. The letter "m" is frequently used to denote slope.

The given points are (-5,-7) and (0,10)

Formula to calculate slope is - y2 - y2 / x2 - x1

= 10 + 7 / 0 + 5

= 17 / 5

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Answer:C Because there the same sides

Answer:

5/6

Step-by-step explanation:

it comes out originally like 10/12 but if your simplify it it's 5/6

Answer:5/6

Step-by-step explanation: 12-2 =10 so 10/12 which simplifies to 5/6

Answer:

37° and 53°

Step-by-step explanation:

2x + 15 + 4x + 9 = 90 since the angles are complementary

6x + 24 = 90

6x = 66

x = 11

2x + 15 = 2(11) + 15 = 22 + 15 = 37

4x + 9 = 4(11) + 9 = 44 + 9 = 53

Check:  53 + 37 = 90

1. \(\boldsymbol{2x+15+4x+9=90}\)

2. \(\boldsymbol{x=11^{\circ}}\)

3. Measure of the first angle is \(\boldsymbol{37^{\circ}}\)

4. Measure of the second angle is \(\boldsymbol{53^{\circ}}\)

Two angles are said to be complementary if their sum if \(\boldsymbol{90^{\circ}}\)

Measure of the first angle\(=\boldsymbol{(2x+15)^{\circ}}\)

Measure of the second angle \(=\boldsymbol{(4x+9)^{\circ}}\)

1. \(\boldsymbol{2x+15+4x+9=90}\)

2.

\(6x+24=90\\6x=66\\\boldsymbol{x=11^{\circ}}\)

3.

Measure of the first angle \(=2(11)+15\)

                                            \(=\boldsymbol{37^{\circ}}\)

4.

Measure of the second angle \(=4(11)+9\)

                                                  \(=\boldsymbol{53^{\circ}}\)

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Answer:

The sum of 25 and 16 is 41.

Step-by-step explanation:

The sum of two numbers, 25 and 16, you can break apart the addends and add them separately to simplify the process. Here's how you can do it:

Break apart the numbers into their place values: For 25, you have 20 and 5, and for 16, you have 10 and 6. This step helps you work with the place values individually.

Add the tens place: In this case, you have 20 (from 25) and 10 (from 16). Adding them gives you 30.

Add the ones place: Now you add the ones place, which is 5 (from 25) and 6 (from 16). Adding them gives you 11.

Combine the sum of the tens place and the sum of the ones place: Take the sum of 30 (from step 2) and 11 (from step 3). Adding them together gives you 41.

So, the sun is 41.

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The cost described in the scenario is an example of a mixed cost.

A mixed cost consists of both fixed and variable components. In this case, the $10 per month base charge represents the fixed component of the cost. This charge remains constant regardless of the amount of electricity consumed. It covers the basic service and is not influenced by usage levels.

On the other hand, the additional charge of $0.08 per kilowatt-hour (kWh) of electricity used represents the variable component. This charge varies directly with the amount of electricity consumed. As more electricity is used, the variable cost increases proportionally.

By combining the fixed base charge and the variable charge per kWh, we get a mixed cost structure. The fixed component ensures a minimum cost for the service, while the variable component adds to the total cost based on actual usage. This combination of fixed and variable elements makes the cost a mixed cost.

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