is 11/4 rational or irrational

When the former image is rotated, the dots will be located at section 2 and 7.

When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.

From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.

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Answer:x=-4

Step-by-step explanation:

Answer:

I got a decimal

Step-by-step explanation:

0.857142857

Answer:

Step-by-step explanation:

Answer:

(2,6)

Step-by-step explanation:

y = 2x + 2

Y = 3x

2x+2=3x

2x-3x+2=0

-x+2=0

-x=-2

x=2

y=3(2)=6

The coordinates of polygon A'B'C'D' after the rotation of 180º are given as follows:

A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).

The five more known rotation rules are given as follows:

The original coordinates for this problem are given as follows:

A(0,0), B(5,2), C(5,-5), D(0,-3).

Exchanging the sign of each of the coordinates, the coordinates after the rotation are given as follows:

A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).

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Answer:

68.29% probability that between 20 and 30 of these shoppers only review one page when searching online

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

\(E(X) = np\)

The standard deviation of the binomial distribution is:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \(\mu = E(X)\), \(\sigma = \sqrt{V(X)}\).

In this problem, we have that:

\(n = 100, p = 0.28\)

So

\(\mu = E(X) = np = 100*0.28 = 28\)

\(\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.28*0.72} = 4.49\)

What is the probability that between 20 and 30 of these shoppers only review one page when searching online?

Using continuity correction, this is \(P(20 - 0.5 \leq X \leq 30 + 0.5) = P(19.5 \leq X \leq 30.5)\), which is the pvalue of Z when X = 30.5 subtracted by the pvalue of Z when X = 19.5.

X = 30.5

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{30.5 - 28}{4.49}\)

\(Z = 0.56\)

\(Z = 0.56\) has a pvalue of 0.7123.

X = 19.5

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{19.5 - 28}{4.49}\)

\(Z = -1.89\)

\(Z = -1.89\) has a pvalue of 0.0294

0.7123 - 0.0294 = 0.6829

68.29% probability that between 20 and 30 of these shoppers only review one page when searching online

Answer:

24 8/15

Step-by-step explanation:

8 1/3 + 16 1/5 + 1/3 =?

8 1/3 + 1/3  + 16 1/5 = ?

8 1/3+ 16 1/5 =?

8 5/15 +16 3/15= 24 8/15

Answer 24 8/15

Answer:

Explained below.

Step-by-step explanation:

A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.

While making a statistical conclusion about the population under study, the parameter value is unknown. This is because it would not be possible to gather data from every single member of the population. So a sample is selected from the population to derive a conclusion about the parameter.

A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.

Answer:

Below in bold.

Step-by-step explanation:

a. h after 4 seconds:

h = -16(4)^2 + 256(4)    

    = -256 + 1024

    =  768 ft

b.   When the height is 1008 ft

     1008 = -16t^2 + 256t

     16t^2 - 256t + 1008 = 0

      16(t^2 - 16t + 63) = 0

       16(t - 7)(t - 9) = 0

        t = 7, 9

      So it will take 7 seconds to rise to 1008 feet and and after 9 seconds        it will pass 1008 on the way down

     So the times are 7, 9 seconds.

c.  When the ball reaches the ground h = 0:

    -16t^2 + 256t = 0

    -16t(t - 16) = 0

      t - 16 = 0

      t = 16 seconds.

Answer:

1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

Step-by-step explanation:

We need to find the factors of 18
which are; 1,18; 2,9; 3,6
So therefore we'd pick:
1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

Answer:

no answer of this question

Answer:

This question is mainly about pythagorean theorm as if we just analyse this question we see the information given to us are

Now it is said to find out the length of ladder as because the ladder is resting against the buiding so it will generally form an acute angle with the ground and as we can take the ladder to be as the hypotenuse of a right angled triangle in which the length of the perpendicular building forms one of the leg and the distance of the building from the point where the ladder is kept is said to be another leg

Now we get the measure of the vertical leg = height of the buiding = 11 ft

and another leg = distance in between the fence and the point on which the ladder is kept + the distance in between the fence and building

= (8+1)ft =9ft

Now we know hypotenuse = √base^2+√height^2

= √9^2+√11^2

= √81+√121

= √ 202

= 14.21 ft

Therefore the length of the ladder = 14.21 ft

Hope it helps you

The length of the ladder should be 11.1 feet long.

Let's denote the length of the ladder as L.

According to the given information:

The distance from the building to the fence = 1 ft.

The height of the window = 11 ft.

The distance from the ladder to the fence = 8 ft.

Using the Pythagorean theorem, we can set up the equation:

\(L^2 = (1^2) + (11^2)\)

Simplifying:

\(L^2 = 1 + 121\)

\(L^2 = 122\)

Taking the square root of both sides:

\(L = \sqrt{122}\)

\(L = 11.05 ft\)

Therefore, the worker will need a ladder approximately 11.1 feet long.

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The missing values in the quantitative reasoning given are : -2, 13 and 9

Given the rule :

We can deduce that :

For the left circle :

circle = -6 - (-4) = -6 + 4 = -2

For the right circle :

circle = 11 - (-2) = 11 + 2 = 13

For the left square :

square = 13 + (-4)

square = 13 -4 = 9

Therefore, the missing values are : -2, 13 and 9

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Some expenditures and revenues in personal budget are listed below.

Expenditures:

1. Housing: This includes rent or mortgage payments, property taxes, and utility bills.

2.Transportation: This includes the cost of owning and maintaining a vehicle, as well as any public transportation costs.

3. Food: This includes the cost of groceries and dining out.

4. Insurance: This includes health, car, and homeowner's or renter's insurance.

5. Personal Care: This includes expenses such as clothing, grooming, and personal hygiene products.

6. Entertainment: This includes expenses for hobbies, recreation, and leisure activities.

Revenues:

1. Salary: The money earned from a job or employment.

2. Investment Income: This includes money earned from stocks, bonds, and other investments.

3. Business Income: This includes money earned from a small business or self-employment.

4. Rent Income: This includes money earned from renting out property or other assets.

5. Government Benefits: This includes money received from programs such as Social Security and unemployment benefits.

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9514 1404 393

Answer:

  23°

Step-by-step explanation:

The angle a vector makes relative to the +x axis is found as ...

  α = arctan(y/x) = arctan(4.30/10.3) ≈ 22.66°

The angle is about 23°.

__

Additional comment

This vector resides in the first quadrant, so no adjustment of the angle is needed. In other quadrants, 180° may need to be added or subtracted from the angle given by the arctan function to arrive at the correct value. (Some calculators and spreadsheets have an ATAN2(x, y) function that takes signs into account.)

The number 14.235 would round down to 14.2

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.

We need to round  14.235 to the nearest tenth, hundredth, one and ten

We can see that the 35 is below 50 so it goes down, and it rounds down to 14.2 instead of, 14.62 then that would round up to the decimal is higher than 50.

Since it is 235, then it rounds down to 14.2

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The approximate difference in the circumferences of the two circles is: C. 61 cm.

Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

C = 2πr or C = πD

Where:

Substituting the given parameters into the circumference of a circle formula, the circumference of the small circle is;

Circumference of circle, C = πD

Circumference of circle, C = 3.14 × 4.5

Circumference of circle, C = 14.13 cm.

For the larger circle, we have:

Circumference of circle, C = 3.14 × 24

Circumference of circle, C = 75.36 cm.

Difference = 75.36 cm - 14.13 cm.

Difference = 61.23 ≈ 61 cm.

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Answer:

?? If you answer is how does 10 become 100, you multiply 10 by 10?? Sorry

Step-by-step explanation:

Answer:

100 is 10 times as much as 10

Step-by-step explanation:

10 times 10 is 100.

The correct value of Z for the solution to true system is -2

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

2x + 3y - z = 4

x - 3y + 2z = -3

3x + y - z = 5

Transform the third equation

So we have

2x + 3y - z = 4

x - 3y + 2z = -3

9x + 3y - 3z = 15

Eliminate y in the equations by subtraction

So we have

x - 3z = 7

10x - z = 12

Multiply x - 3z = 7 by 10

10x - 30z = 70

10x - z = 12

Subtract the equations

-29z = 58

So, we have

z = -2

Hence, the correct value of Z  is -2

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Answer:

u

Step-by-step explanation:

u

Step-by-step explanation:

Create two arcs on the original line.

Place the compass on two points on the original line, one after another for marking a point.

make a line from the original point on the line to the marked point (MP)

the sketch as attached

For making a perpendicular line through a point open the compass to a radius that is less than half of the segment and draw an arc intersecting line and then draw arcs using the intersection points. In the last construct a line that joins the two points.

Hence the option C is correct.

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Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.

Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.

How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.

Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.

The weight per carton is 55 pounds.

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Answer:

4/5

Step-by-step explanation:

The surface area of the cube is 1536 ft².

We have,

The cube can be seen as 6 square areas in the net.

So,

The surface area of the cube.

= 6 x area of one square surface.

Now,

Side = 16 ft

Area of one square surface.

= side²

= 16²

= 256 ft²

Now,

The surface area of the cube.

= 6 x area of one square surface.

= 6 x 256

= 1536 ft²

Thus,

The surface area of the cube is 1536 ft².

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The cheapest alternative that Valentino can select is to make the computation and discover which is less expensive when compared to others.

The area of mathematics known as algebra is used to portray situations or problems using mathematical expressions.

Given that the info is incomplete, Valentino needs to analyze the three options and make additions for extra charges or deductions for discount and make a purchase of the cheapest alternative.

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Answer:

210

Step-by-step explanation:

Answer:

The answer is 197

Step-by-step explanation:

I saw this on another question so I hope you trust that this is the right answer

Answer: prove conjectures

Step-by-step explanation:

In geometry, you can use deductive rules to prove conjectures.

Quadrilateral R'S'T'V' is smaller than Quadrilateral RSTV because a scale factor is less then 1.

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

Quadrilateral RSTV is dilated with the origin as the center of dilation using the rule (x, y) = (3/2x, 3/2y) to create quadrilateral R'S'T'V'.

Here, All the coordinates of vertex of Quadrilateral RSTV are,

R = (- 3, - 2)

S = (- 2, 3)

T = (2, 2)

V = (3, - 1)

Hence, By applying rule we get;

All the coordinates of vertex of Quadrilateral R'S'T'V' are,

R' = (- 3 × 3/2, - 2× 3/2) = (- 9/2. - 3)

S' = (- 2 × 3/2, 3 × 3/2) = (- 3, 9/2)

T' = (2 × 3/2, 2× 3/2) = (3, 3)

V' = (3 × 3/2, - 1 × 3/2) = ( 9/2. - 3/2)

Now, Distance between R and S;

RS = √ (- 3- (- 2))² + (- 2 - 3)²

     = √1 + 25

     = √26

And, Distance between R' and S';

R'S' = √ (- 3- (- 9/2))² + (- 3 - 9/2)²

     = √(3/2)² + (15/2)²

     = √9/4 + 225/4

    = √234/4

Hence, The scale factor is,

⇒ RS / R'S' = √26 / (√234/4)

                  = 2√26/ √234

                  = 2/3

                  = 0.67 < 1

Thus, Quadrilateral R'S'T'V' is smaller than Quadrilateral RSTV because a scale factor is less then 1.

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