A major home improvement store conducted its biggest brand recognition campaign in the company's history. A series of new television advertisements featuring well-known entertainers and sports figures was launched. A key metric for the success of television advertisements is the proportion of viewers who "like the ads a lot." A study of 1,189 adults who viewed the ads reported that 230 indicated that they "like the ads a lot." The percentage of a typical television advertisement receiving the "like the ads a lot" score is believed to be 22%. Company officials wanted to know if there is evidence that the series of television advertisements are less successful than the typical ad (i.e. if there is evidence that the population proportion of "like the ads a lot" for the company's ads is less than 0.22) at a 0.01 level of significance. 1) State H subscript 0 and H subscript 1. (2 points) 2) What critical value should the company officials use to determine the rejection region? (2 points) 3) What is the value of the test statistic? (4 points) 4) What is the conclusion of the hypothesis test? Is there evidence that the population proportion of "like the ads a lot" for the company's ads is less than 0.22?

The area and perimeter of the parallelogram are: 56 square units and 30 units respectively

In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The parameters that will help us do the math are

base = 7

height = 8

Area = 8*7 = 56 square units

perimeter 2b + 2h

perimeter = 2*7 + 2*8

= 14 +16

P = 30 units

Therefore, the perimeter of the parallelogram and area are 30 units and 56 square units

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Let x be the measurement of the angle.

The complement of an angle is 90 degrees minus the measurement of the angle.

So, the complement of x is 90 - x.

The problem states that x is 10 degrees more than its complement.

So, we can write the equation x = 10 + (90 - x).

Combining like terms, we get 2x = 100.

Dividing both sides by 2, we get x = 50.

Therefore, the measurement of the angle is 50 degrees.

(a)Contrapositive: If an object does not have a border, then it is not red.

Converse: If an object has a border, then it is red.

Inverse: If an object is not red, then it does not have a border.

(b)Contrapositive: If an object is not red or does not have a border, then it is not a rectangle.

Converse: If an object is a rectangle, then it is red and has a border.

Inverse: If an object is not red or does not have a border, then it is not a rectangle.

(c)Contrapositive: If an object does not have a border, then it is not red or blue.

Converse: If an object is red or blue, then it has a border.

Inverse: If an object does not have a border, then it is not red or blue.

a) Original Conditional Statement (P - Q): If an object is red, then it has a border.

Contrapositive (not Q - not P): If an object does not have a border, then it is not red.

Converse (Q - P) If an object has a border then it is red.

Inverse (not p → not q) If an object is not red then it does not have a border.

The contrapositive is true, while the converse and inverse are false. For example, object H may have a border but not be red.

b) Original Conditional Statement (P - Q): If an object is a rectangle, then it is red and has a border.

Contrapositive (not Q - not P): If an object is not red and does not have a border, then it is not a rectangle.

Converse (Q - P) If an object is red and has a border, then it is a rectangle.

Inverse (not p → not q) If an object is not a rectangle then it is not red or does not have a border.

The contrapositive is true, while the converse and inverse are false. For example, object H may be red and have a border but not be a rectangle.

c) Original Conditional Statement (P - Q): If an object is red or blue, then it has a border.

Contrapositive (not Q - not P): If an object does not have a border, then it is not red or blue.

Converse (Q - P) If an object has a border then it is red or blue.

Inverse (not p → not q) If an object is not red or blue then it does not have a border.

The contrapositive and converse are true, while the inverse is false. For example, object H may have a border but not be red or blue.

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The equation of the linear relationship in slope-intercept form is y = 2x - 8. Option A is the correct answer.

To determine the equation of the linear relationship in slope-intercept form based on the table, we need to find the slope and y-intercept.

By observing the table, we can calculate the slope by selecting any two points. Let's choose the points (0, -8) and (4, 0).

Slope (m) = (change in y) / (change in x)

= (0 - (-8)) / (4 - 0)

= 8 / 4

= 2

Now that we have the slope, we can find the y-intercept by substituting the values of one point and the slope into the equation y = mx + b and solving for b.

Using the point (0, -8):

-8 = 2(0) + b

b = -8

Therefore, the equation of the linear relationship in slope-intercept form is: y = 2x - 8. Option A is the correct answer.

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Answer: A = 3

Step-by-step explanation:

4x-2=10

4x=12

x =12/4

x=3

Answer:

0.66 melones por niño o 2/3

Step-by-step explanation:

10/15=2/3=0.66

Answer:

200 boxes

Step-by-step explanation:

We can use ratios to solve

12 suits       2400 suits

------------ = ------------

1 box          x boxes

Using cross products

12x = 1*2400

12x = 2400

Divide by 12

12x/12 = 2400/12

x =200

We need 200 boxes

Answer:

200

Step-by-step explanation:

1 box = 12

Box? = 2400.

DIVIDE

Answer:

8-8/6-2

0/4

answer is 0

y=0x+c

8=0(2)+c

8=0+c

8=c

y=0x+8 i thinkkk

Step-by-step explanation:

Answer:

8-8/6-2

0/4

answer is 0

y=0x+c

8=0(2)+c

8=0+c

8=c

y=0x+8

Step-by-step explanation:

The system of linear equations that can be solved from the matrices is given as follows:

Considering that the row [3, -6] is common to matrices Ax and Ay, the matrix A is given as follows:

A = [-5 4; -8 1]

Hence the multiplication of matrices representing the system is given as follows:

[-5 4; -8 1][x; y] = [3; -6]

Applying the multiplication of matrices, the system of equations is given as follows:

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Step-by-step explanation:

5x + 2x

that is the same as (5 + 2)x

and that is the same as (7)x = 7x

so, for the second part of the problem we are actually comparing

7x

and

7x - 1

there is therefore no way for the two expressions to deliver the same value for the same x.

the values of 7x are always larger by one than the values of 7x - 1

so, e.g.

x = 1

5×1 + 2×1 = 5 + 2 = 7

7×1 - 1 = 7 - 1 = 6

x = 2

5×2 + 2×2 = 10 + 4 = 14

7×2 - 1 = 14 - 1 = 13

x = 3

5×3 + 2×3 = 15 + 6 = 21

7×3 - 1 = 21 - 1 = 20

x = 4

5×4 + 2×4 = 20 + 8 = 28

7×4 - 1 = 28 - 1 = 27

x = 5

5×5 + 2×5 = 25 + 10 = 35

7×5 - 1 = 35 - 1 = 34

a) Probability of occurrence of evant A is equals to the 7/10.

P(not getting a white or a blue shirt), P(Aᶜ ) is equals the 3/10.

Probability of occurrence of evant B is equal to the 1/2.

b) The events A and B are not mutually exclusive

c) Mike's preference is to getting a white shirt with his size L.

We have a probabality based problem. Probability is defined as chance of occurrence of an event or result. It can be calculate as favourable outcomes divided by total possible outcomes. There is total number of avaliabile shirts = 20 i.e., total possible outcomes = 20

Mike is interested in getting a white or a blue shirt in size L. Let us consider two events :

A : Getting a white or a blue shirt

B: Getting a shirt in size L

a) Number of favourable outcomes to getting white or a blue shirt = 9 white or 5 blues

Probability ( Getting a white or a blue shirt) , P(A)

= 9/20 + 5/20 + 0 = 14/20 = 7/10

P(not Getting a white or a blue shirt), P(Aᶜ )

= 1 - P(A) = 1 - 7/10 = 3/10

ii) The number of favourable outcomes for event B, n(B) = 10

So, Probability of getting a shirt in size L, P(B)

= 10/20 = 1/2

b) Mutually exclusive events are defined as the events that can't happen at the same time. In other words AnB = 0 . Here, we see there is total 14 shirts which are in white or blue colors and 10 are in size L , So there is possibility that shirt is white or blue in colour and in size L , i.e, An B ≠0

So, events A and B are not mutually exclusive.

c) Event ,n( A u B )= n(A) + n(B) - n(A n B)

On the basis of all details, we conclude that Mike's preference is to choose white shirt with size L .

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Answer:

X=18

Step-by-step explanation:

3x+4/2 = 29

Multiply both sides by 2 :

2(3x+4)/2 = 29*2

Simplify :

3x+4= 58

Subtract 4 from both sides :

3x + 4 - 4 = 58 - 4

Simplify  :

3x = 54

Divide both sides by 3:

3x / 3 = 54 /3

Simplify  :

X = 18

Hope it Helps :) !!!!

Answer:

23/5

Step-by-step explanation:

* means multiply

4 3/5

5 * 4 = 20

20 + 3 = 23

23/5

Answer:

\(\frac{23}{5}\)

Step-by-step explanation:

The type of fraction we are dealing with is called a mixed fraction

In order to convert this fraction into a fraction greater than 1, we will have to convert it into an improper fraction

So we keep the denominator

Multiply the whole number by the denominator and add that to the numerator

Answer:

72.8325

Step-by-step explanation:

I think it is that

Answer:

the family annual aid tax is R3500

1) The expression 2⁻ˣ⁺³ = 3 is matched with graph B.

2 The expression  3ˣ⁺¹=3 is matched with graph C.

3) The expression 4ˣ = 3 is matched with graph

4 ) The expression 1ˣ/4 = 3 is matched with graph

1) The graph of the expression 2⁻ˣ⁺³ = 3  represents an exponential function where the y-coordinate is 3 when the base 2 raised to the power of (-x+3).

2) The graph of the expression 3ˣ⁺¹=3represents an exponential function where the y-coordinate is 3 when the base 3 raised to the power of (x+1). This graph is a straight line with a slope of 1.

3)  The graph of the equation 4ˣ = 3 represents an exponential function where the base 4 raised to the power of x is equal to 3. This equation has a single solution, which can be determined using logarithms.

4) The graph of the expression 1ˣ/4 = 3 represents an exponential function where the base 1 raised to the power of (x/4) is equal to 3.

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Answer:

glassA=1/3×22/7×4²

=16.76

glass B=1/3×22/7×3²

=9.42

glass A is the correct answer

Answer:

6610

Step-by-step explanation:

We have tan(X) = opposite/ adjacent

tan(QBP) = PQ/BQ

tan(35) = PQ/BQ    ---eq(1)

tan(QAP) = PQ/AQ

tan(20) = \(\frac{PQ}{AB +BQ}\)

\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)

230*tan(20) + PQ*tan(20)*tan(35) = PQ

⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)

⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]

\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)

\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)

PQ = 110.4

≈110

Height above sea level = 6500 + PQ

6500 + 110

= 6610

Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

Answer:

\(\neq \neq \lim_{n \to \infty} a_n \lim_{n \to \infty} a_n \geq x^{2} x^{2} \sqrt{x} \frac{x}{y} x_{123} x_{123}\)

Step-by-step explanation:

yeah

Answer:

The 2nd equation

The function f(x) = 4x² + 12x + 9 has an inverse f⁻¹(x) = -(3 - √x)/2 , (3 + √x) / 2 and the restriction of it's domain is for all values of x

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x.

The function f(x) = 4x² + 12x + 9 has an inverse of

f⁻¹(x) = -(3 - √x)/2 , (3 + √x) / 2

2).

The domain of the given function is for all values of x and can be represented in function notation as

domain = (-∞, ∞)

3) The inverse of the domain function is for all values greater than or equal to x or can be represented as [0, ∞)

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Answer:

1) No, as it is not a one-to-one function.

2) The domain should be restricted to either the left or the right of the vertex.

\(\textsf{3)} \quad f^{-1}(x)=\dfrac{-3 + \sqrt{x}}{2}\)

Step-by-step explanation:

To determine if the function y = 4x² + 12x + 9 has an inverse, we need to check if it is a one-to-one function.

A function has an inverse if and only if it is one-to-one, meaning that each input value (x) corresponds to a unique output value (y), and no two different x-values produce the same y-value.

To check if y = 4x² + 12x + 9 is one-to-one, we can use the horizontal line test. If any horizontal line intersects the graph of the function at more than one point, the function is not one-to-one, and hence, it does not have an inverse.

The function y = 4x² + 12x + 9 is a quadratic function, and all quadratic functions have a U-shaped graph, which means any horizontal line intersects the graph at two points. Therefore, the function y = 4x² + 12x + 9 is not one-to-one, and it does not have an inverse.

\(\hrulefill\)

To allow the function y = 4x² + 12x + 9 to have an inverse, we need to restrict its domain to make it one-to-one. Since the function is a parabola that opens upwards and has its vertex at the minimum point, we can restrict the domain to only consider the portion of the parabola to the right (or left) of the vertex. By doing this, we can make the function one-to-one and allow it to have an inverse.

\(\hrulefill\)

The x-coordinate of the vertex of a quadratic function in the form y = ax² + bx + c is x = -b/2a. Therefore, the x-coordinate of the vertex of the given function is:

\(x=-\dfrac{12}{2(4)}=-\dfrac{12}{8}=-1.5\)

To find the y-coordinate of the vertex, substitute x = -1.5 into the given function:

\(y=4(-1.5)^2+12(-1.5)+9\)

\(y=4(2.25)+12(-1.5)+9\)

\(y=9-18+9\\\)

\(y=0\)

Therefore, the vertex of given function is (-1.5, 0).

Let's restrict the domain to the right of the vertex.

Therefore, the restricted domain is [-1.5, ∞).

To find the inverse of the domain-restricted function, swap x and y:

\(x = 4y^2 + 12y + 9\)

Switch sides:

\(4y^2 + 12y + 9=x\)

Subtract x from both sides:

\(4y^2 + 12y + 9-x=0\)

Now we can use the quadratic formula to find y, where a = 4, b = 12 and c = (9 - x):

\(y=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\)

\(y=\dfrac{-12 \pm \sqrt{(12)^2-4(4)(9-x)}}{2(4)}\)

\(y=\dfrac{-12 \pm \sqrt{144-144+16x}}{8}\)

\(y=\dfrac{-12 \pm \sqrt{16x}}{8}\)

\(y=\dfrac{-12 \pm 4\sqrt{x}}{8}\)

\(y=\dfrac{-3 \pm \sqrt{x}}{2}\)

Replace y with f⁻¹(x):

\(f^{-1}(x)=\dfrac{-3 \pm \sqrt{x}}{2}\)

The range of the inverse function is the domain of the original function.

As the domain of the original function is restricted to [-1.5, ∞), then the range of the inverse function is also restricted to [-1.5, ∞).

Therefore, the inverse of the domain-restricted function is:

\(f^{-1}(x)=\dfrac{-3 + \sqrt{x}}{2}\)

If you had 1 quart and you now add 2 quarts, the total now becomes 3 quarts of water/juice mix.

So the first solution contains 1/2 quart of juice and 1/2 quart of water. Half of the first mixture and then two more parts now results in 2.5 parts of juice and half part water.

Remember its now a total of 3 parts. Therefore the juice in the mix is now;

The final mix therefore contains 83.33% juice

Answer:

Never, unless they already have some points to even the points out

Step-by-step explanation:

A regression through the origin is a linear regression model where the intercept time period is assumed to be 0, meaning the regression line passes through the starting place.

This version is also referred to as zero-intercept regression or homogeneous regression.

It's far frequently used whilst there's a theoretical foundation to agree with that the relationship among the dependent and unbiased variable passes via the foundation or whilst the information propose that the intercept ought to be 0.

The slope coefficient represents the change within the structured variable for a one-unit increase inside the unbiased variable.

However, this kind of regression may not be appropriate in all cases, and a general linear regression version with an intercept term can be greater suitable.

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The angle PMR in the quadrilateral is 32 degrees.

The angle PMR can be found as follows;

The line AP is an angle bisector of angle RPM. Therefore, the following relationships are formed.

∠RPM ≅ ∠WPM

Hence,

∠RPM ≅ ∠WPM = 58 degrees

Therefore,

∠WPM = 58 degrees

∠PWM = 90 degrees

Let's find ∠PMR as follows

∠PMR = 180 - 90 - 58

∠PMR = 90 - 58

∠PMR  = 32 degrees

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Answer:

50%

Step-by-step explanation:

10+4+2+4=20

10/20=0.5

The minimum length of wire is 34.28 inches.

We are given that;

Two circles with radii 2 and 6

Now,

By the Pythagorean theorem, MN^2 = MS^2 + SN^2 = 4"^2 + 4"^2 = 32".

Therefore, MN = sqrt(32") = 4sqrt(2") (exact answer).

To find PQ and NM, we can use the formula for the circumference of a circle: C = 2pi*r.

PQ = pi6" and NM = pi2", since they are half-circumferences of the pipes with radii 6" and 2".

Therefore, the total length of the wire is MN + PQ + NM = 4sqrt(2") + pi6" + pi2".

To get an approximate answer, we can use a calculator and round to the nearest hundredth.

Therefore, by the circle the answer will be is 34.28 inches.

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