Which one is an undefined term?(A) Point
(B) Line
(C) Plane
(D) All of the above

With 99% certainty, the population proportion of adults who say they have started paying bills online in the last year is between the given confidence interval's endpoints.

We have the following confidence interval of proportions in a sample of n people surveyed with a success probability of π and a confidence level of 1 - α.

Confidence interval = [tex]\pi[/tex] ± z [tex]\sqrt{\(\pi (1 - \pi ))/n}[/tex]

z = 1 - α/2

Here given, According to a survey of 3102adults, 1443 have begun paying bills online in the last year.

That is, n = 3102 and x = 1443

p = x / n

  = 1443 / 3102

  = 0.465

significance level = α

= 1 - confidence

= 1 - 0.99

= 0.01

zα/2 = z0.01 / 2 = 2.58

By substituting in confidence interval formula,

The lower limit is :

0.465 - 2.58[tex]\sqrt{(0.465 * 0.535) / 3102}[/tex]

= -0.01894056008

The upper limit is:

0.465 + 2.58[tex]\sqrt{(0.465 * 0.535) / 3102}[/tex]  

= 0.02722425658

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The lower limit is 0.456 and upper limit is 0.474

What is confidence interval?

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.

As confidence interval (C) = π ± z√[π(1-π)/n]

In the above expression, z = 1 - α/2, where α is the significance level.

Given in the question, n=3102 as the survey was conducted on 3102 adults. Also, x=1443, as 1443 people have started paying bills online in last year.

π = x/n

Substituting the values, we get,

π = 1443/3102

⇒ π = 0.465

Confidence level(α) = 1 - confidence

= 1 - 0.99

= 0.01

Since, z = 1 - α/2

⇒ z = 1 - 0.01/2

⇒ z = 1 - 0.005

⇒ z = 0.995

By substituting in confidence interval formula,

The lower limit is = 0.465 - 0.995√[(0.465*0.535)/3102]

= 0.456

The upper limit is = 0.465 + 0.995√[(0.465*0.535)/3102]

= 0.474

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From the question the transformations that non-rigid is dilation. The correct answer is B.

Any transformation of a geometric object that alters the size but not the shape is referred to as a nonrigid transformation. Examples of non-rigid types of transformation include stretching and dilation. Any action taken on a shape is referred to as a metamorphosis.

Rigid transformation is When a figure undergoes a stiff transformation, its size and shape are left unaltered. Because the image is unchanged, stiff transformations include translations, rotations, and reflections.

As a result, a dilation is a non-rigid transformation because the size of the image is changing.

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Answer:

No

Step-by-step explanation:

Functions must have only one answer for each x. However, in all the x values in this graph there are two answers.

The height of the pole will be 3m (approx.)

We have the ground located 4 m from a pole, its upper part can be seen with an elevation angle of 37°.

We can write the height of the pole as -

h = 4 tan(37°)

h = 4 x 0.75

h = 3 m (approx.)

Therefore, the height of the pole will be 3m (approx.)

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[Question in english -

From a point on the ground located 4m from a pole, its upper part can be seen with an elevation angle of 37°. What is the height of the pole?]

Susan earned $1062.5 as interest after 10 years.

Interest is the amount to be paid on the borrowed money or the amount received on the money lent.

Given that, Susan made a one-time deposit of $2,500 in an investment account. She earned 4.25% interest for 10 years.

SI = PxRxT/100

P = principal = $2500

R = interest rate = 4.25%

T = time = 10 years

SI = 2500x10x4.25/100

SI = 1062.5

Hence, Susan earned $1062.5 as interest after 10 years.

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Answer:

A and C similar

Step-by-step explanation:

A: 80/100 = 0.8

B: 100/120 = 0.833...

C: 72/90 = 0.8

Since the ratio of the lengths of the sides of rectangle A and C are equal, the only similar rectangles are A and C.

Answer: A and C similar

The correct answer is 64

Demoivre's theorem states that for all complex numbers z and all positive integers n:

z^n = (r^n) × (cos(n∅) + isin(n×∅))

where r is the magnitude of z and theta is the argument of z.

To use Demoivre's theorem to simplify (1−i)^12, we can first write (1−i) in polar form as r × cis(∅). where r is the magnitude and cis(∅) is the size complex number. is 1, the argument ∅. In this case the size of (1−i) is √(1^2 + (-1)^2) = √(2) and the argument of (1−i) can be found using the arctangent function.

∅ = arctan(-1÷1) = -45 degrees.

So (1−i) can be written as sqrt(2) × cis(-45 degrees). Applying this to Demoivre's theorem, we get:

(1−i)^12 = (√(2)^12) × (cos(-540°) + i×sin(-540°))

We can simplify this to:

(1−i)^12 = 2^6 × cis(-180°)

This can be further simplified as follows.

(1−i)^12 = 64 × (-1)

the final answer is -64.

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The value of the variable BC will be equal to 20.

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that B is between A and C. AB=19, BC = 4y, AC = 8y-1.

Here If B is between the segment AC the value of BC will be calculated as,

BC = AC - AB

Substitute the values in the above equation and solve for the value of y,

4y = 8y - 1 - 19

4y = 8y - 20

8y - 4y = 20

4y = 20

y = 5

The value of segment BC will be.

BC = 4y

BC = 4 x 5

BC = 20

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the diameter of a P210/ 60R17 is 26.9" where width is 8.3" , sidewall 5" overall diameter of the tire is indicated by the first digit.

Remembering that the tire diameter is made up of two sidewalls—the one above the wheel and the one below the wheel hitting the ground—and adding the diameter of the wheel, the sidewall height must be multiplied by two to determine the tire's overall diameter.

given ,

size = 210 / 60R17

The overall diameter of the tire is indicated by the first digit. The tire diameter or "height" in this illustration is 210 inches tall. The tire's breadth is shown by the second digit. When using tires with inch measurements, the width will typically contain a.50 decimal after the first digit.

the diameter of a P210/ 60R17 is 26.9" where width is 8.3" , sidewall 5"

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Therefore the solution to this problem is the test statistic for the test  is  -0.487

What is test statistics ?

In statistical hypothesis testing, a test statistic is a statistic that is employed. A hypothesis test is often defined in terms of a test statistic, which is a numerical summary of a data set that can be used to execute the test and reduces the data to one value.

Here,

According to a report on the evening news show, burglaries occurred in 23 out of 197 residences without pets and 10 out of 129 homes with pets.

Let p1 represent the percentage of dog-owning homes who experienced burglaries.

p2 is the population proportion of burglarized homes without canine companions.

Since both population proportions are equal, the null hypothesis (H) is that p1=p2.

A Different Hypothesis, K:p1≠p2 indicates that there is an imbalance between the two population proportions.

The test results that would be utilized in this z-test for proportions with two samples;

                          T.S. = [tex]\frac{(p1^{'} -p2^{'} )-(p1-p2)}{\sqrt{\frac{p1^{'}1-p1^{'}()}{n1} +\frac{p2^{'}(1-p2^{'})}{n2} } }[/tex]~ N(0,1)

where,  p1= sample proportion of households with pet dogs who were burglarized =10/105  = 0.095

p2= sample proportion of households without pet dogs who were burglarized = 24/212 = 0.11

n1= sample of households with pet dogs = 105

n2 = sample of households without pet dogs = 212

So, the test statistics  =  [tex]\frac{(0.0095 -0.11 )-(0)}{\sqrt{\frac{0.095(1-0.095)}{105} +\frac{0.11(1-0.11)}{212} } }[/tex]

                                                                      =  -0.487

Therefore  ,the test statistic for the test is  -0.487

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The given equation (C) 2x² - 7x + 6 = 0 has 2 roots in it.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

Ax+By=C is the usual form for two-variable linear equations.

A standard form linear equation is, for instance, 2x+3y=5.

(A) x² - 4x + 5 = 0

LHS: x² - 4x + 5

= (2)² - 4(2) + 5

= 4 - 8 + 5

= -4 + 5

= 1

RHS = 0

LHS ≠ RHS

Has no root that is 2 in it.

(B) x² + 3x - 12 = 0

LHS: x² + 3x - 12

= (2)² + 3(2) - 12

= 4 + 6 - 12

= 10 - 12

= -2

RHS = 0

LHS ≠ RHS

Has no root that is 2 in it.

(C) 2x² - 7x + 6 = 0

Put x = 2

= 2(2)² - 7(2) + 6

= 8 - 14 + 6

= 14 - 14

= 0

RHS = 0

LHS = RHS

It has 2 roots.

(D) 3x² - 6x - 2 = 0

LHS: 3x² - 6x - 2

= 3(2)² - 6(2) - 2

= 12 - 12 - 2

= -2

RHS = 0

LHS ≠ RHS

Has no root that is 2 in it.

Therefore, the given equation (C) 2x² - 7x + 6 = 0 has 2 roots in it.

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The expected value of x for the awarded 3 points for each coin that lands with heads faceup is 27/8.

In this instance, we are informed that:

The probability of each of them is calculated as:

Situation 1: No heads

That implies that all three coins must land on the tail.

Thus, there is only one method to accomplish this. While the whole range of potential outcomes is;

= 2x 2x 2

= 8

via the product rule (because each coin has two alternative outcomes).

The result is:

P(x =0) = 1/8

Situation 2: One head

Single head means three points, or X = three.

Total outcomes possible = 8,

Single head can occur in 3 different ways, as other two needs to be strictly tails.

Thus,

P(x = 3) = 2/8

Situation 3: Two heads

Two heads equals 3+3 = 6.

X = 6

8 outcomes are possible in total.

Single tail means two heads. Three separate scenarios can lead to a single tail.

Therefore,

P(x = 6) = 2/8

Situation 4: Three heads

Three heads signifies that X = 9 or 3+3+3 = 9 points.

8 outcomes are possible in total.

Three heads means there is only one way to do it and no tail.

Thus,

P(x = 9) = 1/8

As a result, the expectation of X is determined as follows:

E(x) = 0. 1/8 + 3. 2/8 + 6. 2/8 + 9. 1/8

E(x) = 27/8

Therefore, 27/8 is the expected value of X.

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The final velocity of student B is -1.05 m/s. This value is negative, indicating that student B is moving to the left after the collision.

What is Velocity?

Velocity is a term that describes the speed and direction of a point's motion.

Conservation of momentum states that the total momentum of a system remains constant unless acted upon by an external force. In this case, the two students can be considered a closed system, since no external forces are acting on them.

Therefore, the total momentum of the system before the collision must be equal to the total momentum of the system after the collision.

We can represent the momentum of each student as a vector, where the magnitude is equal to the mass of the student times their velocity and the direction is the direction in which the student is moving. The total momentum of the system before the collision can be found by adding the individual momenta of the two students:

Momentum before collision = (62 kg * 3.80 m/s) + (67 kg * -2.59 m/s)

= 233.6 kg m/s + (-174.53 kg m/s)

= 59.07 kg m/s

After the collision, student A bounces backwards at 1.17 m/s, while student B moves with an unknown velocity in the opposite direction. We can represent the total momentum of the system after the collision as:

Momentum after collision = (62 kg * -1.17 m/s) + (67 kg * v)

where v is the velocity of student B after the collision. We can set the two expressions for total momentum equal to each other and solve for v:

59.07 kg m/s = (62 kg * -1.17 m/s) + (67 kg * v)

v = (59.07 kg m/s + 62 kg * -1.17 m/s) / 67 kg

= (-70.34 kg m/s) / 67 kg

= -1.05 m/s

Therefore, The final velocity of student B is -1.05 m/s. This value is negative, indicating that student B is moving to the left after the collision.

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The required funds invested in Charles Schwab & co and Merrill lynch are 1200 and 2800 respectively.

Given that,
Make two separate investments for a total of $4000. The percent return on Charles Schwab & co. At the end of the year was 5% and the percent return on Merill lynch was 7%. The combined return on both funds was $256.

here,
let x be the invested amount on Charles Schwab & co and y be the invested amount on Merrill lynch.
According to the question,
x + y = 4000
x = 4000 - y   - - - - - (1)
And
0.05x +0.07y = 256 - - - - (2)
From equation 1 and 2
x=1200 and y=2800

Thus, the required funds invested in Charles Schwab & co and Merrill lynch are 1200 and 2800 respectively.

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Answer:

Step-by-step explanation:

J Square Roots and Cube Roots To find the square root of a number, you want to find some number that when multiplied by itself gives you the original number. In other words, to find the square root of 25, you want to find the number that when multiplied by itself gives you 25. The square root of 25, then, is 5. The symbol for square root is equation.

Answer:

1600$

Step-by-step explanation:

By using the SI formula,

[tex]SI={PXRXT}/{100} \\SI=10000X2X8/100\\SI = 1600$\\\\Hence, the interest is 1600$[/tex]$

Option C) 1600$ is correct

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The value of tanA is always less than 1.

What is a number's tan of?

Tangent is the ratio of the side opposite the angle we know or want to know over the side next to that angle, and is sometimes abbreviated as T-A-N.

Describe tan angle A.

The trigonometric ratio between the opposite and adjacent sides of a right triangle that contains an angle is its tangent.

                     Tangent is the mathematical term for the length of the leg that faces the angle and is often abbreviated as "tan." For instance, in the triangle above, tan(A) = 68 or 34 and tan(B) = 86 or 43.

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[tex] \frac{7}{30} [/tex]

The solution is attached to the answer.

Hope understands

The capgemini iot industry 4.0 case provide an entire end-to-end transformation, we encourage human-centered design and ground-breaking innovation.

The new era of digitization, known as smart industry, includes industry 4.0 but expands well beyond it. Disruptive technologies and data enable use cases that were not previously possible, such as multi-physics modelling, remote operations, digitization of products and processes, driver less cars, linked products, reinvented consumer experiences, and novel as-a-service business models.

We work with customers to uncover new business model options, address industry obstacles, and navigate complicated ecosystems so they can gain and maintain a competitive edge. Using our expertise in engineering, technology, IT, data, and consulting, we inject intelligence into our operations, products, and services. To provide an entire end-to-end transformation, we encourage human-centered design and ground-breaking innovation.

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Answer:

z = 11

Step-by-step explanation:

To find the answer we need to set up an expression with the two values they gave us:

8z = z + 77

This works because side IJ is the same length as side JK. So, all we have to do is solve for z:

8z = z + 77

-z    - z

7z = 77

/7     /7

z = 11

Answer: 122.5

Step-by-step explanation:

Answer:

nnnn

Step-by-step explanation:

hh

The expression that shows a way to factor 16 + 72 is 8(2 + 9)

From the question, we have the following parameters that can be used in our computation:

16 + 72

Express the terms of the expression as products

So, we have the following representation

16 + 72 = 8 * 2 + 8 * 9

Factor out 8 from the expression

This gives

16 + 72 = 8 * (2 +  9)

Hence, the factored expression of 16 + 72 is 8 * (2 +  9)

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The given situation for the price according to the distance is not proportional.

Let the total distance covered by Tino is 'x'.

Let the total price be 'y'.

Then,

y = fixed price + additional price

y = $2 + $0.5x

For x = 1; y = $2.5   ---> x/y = 1/2.5

for x = 1; y = $3   ---> x/y = 2/3

for x = 3; y = $3.5   -----> x/y = 3/3.5

In all situations, ratio x/y is not constant.

Thus, the given situation for the price according to the distance is not proportional.

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Answer:

you remember vertex: h,k in (x-h)²+k..

replace in that. In that graph vertex: (10, -20)

So in that Equation, a(x-10)²-20, a<0 since it is maximum graph.

I cannot find the full Equation but from what I can see you can find h,k and the fact that a<0

Answer:

Step-by-step explanation:

You want the net and total surface area for the triangular prism shown.

The net diagram is attached. It consists of three rectangles with triangles attached to the ends of the widest rectangle. Of course, these parts can be arranged in any order you find convenient, as long as the common edges match the original prism.

The net shows the area can be computed as the sum of a rectangle 9 cm high and 5+6+5 = 16 cm wide, together with two triangles of base 6 cm and height 4 cm.

  A = (9 cm)(16 cm) +2(1/2)(6 cm)(4 cm)

  = 144 cm² +24 cm²

  = 168 cm²

The total surface area of the prism is 168 cm².

__

Additional comment

The formulas for the area of a rectangle and triangle are ...

  A = LW . . . . . area of a rectangle of length L and width W

  A = 1/2bh . . . . area of a triangle of base b and height h

The markup from cost to sale price was originally 245%.

The markup is the addition put on the cost of an item.

Goods are marked-up to take care of other selling and administrative costs and to achieve an estimated profit.

The cost of the item plus the markup equals the retail selling price.

Selling price = $720

Markdown percentage = 30%

Marked-up selling price before the markdown = $1,029 ($720/0.7)

Markup cost = $420

Markup difference = $609 ($1,029 - $420)

Markup = 245% ($1,029/$420 x 100)

Thus, the item was marked-up by 245% before it was marked down by 30% to $720.

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The probability that the flight is less than 71 minutes is 0.1471

Let the distribution of the time to fly between New York City and Chicago be X

X~U(66,100)

where,

66 = minimum

100 = maximum

We need to find P(X<71)

We know that in the case of uniform distribution,

P(X<x) = (x - a) / b -a

where,

a = min value

b = max value.

Hence P(X<71)

= (71 - 66) / (100 - 66)

= 5/34

= 0.1471

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The graph of the linear function y = 36 - 4x that represents this function is given by the image shown at the end of the answer.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the parameters are listed as follows:

Initially, he has 36 overdue activities, hence the intercept is of:

b = 36.

Each day, he can do 4 activities, hence the number of remaining activities decays by 4, and thus the slope is of:

m = -4.

Thus the function is given as follows:

y = -4x + 36.

The y-intercept is given by the following point:

(0, 36).

The x-intercept is given by the following point:

(9,0).

As:

-4x + 36 = 0

4x = 36

x = 9.

Then a line is traced connecting the intercepts.

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From the various triangle proofs below, we have been able to show that; 3A F = AC

A median of a triangle is defined as a line segment from a vertex of the triangle to the midpoint of the side opposite that vertex.

We are given that;

AD is the median of ΔABC.

E is the midpoint of AD

Through D, we draw DG parallel to BF

In ΔADG, E is the midpoint of AD and EF is parallel to DG

By using the converse of midpoint theorem, we have;

F is midpoint of AG and A F = FG     ------(eq 1)

Likewise, In ΔBCF ;

D is the midpoint of BC and DG is parallel to BF  

G is midpoint of CF and FG is congruent to GC (FG ≅ GC) .........(eq 2)

From equations 1 and 2, we will get;

A F = FG = GC     -------(3)

Thus;

A F + FG + GC = AC

A F + A F + A F = AC (from eq 3)

3A F = AC

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