Quadrilateral PONY is rotated 180° about the origin.
Draw the image of the rotation

Answer: Width = 7 inches, Length = 14 inches

Step-by-step explanation:

Let the width be [tex]w[/tex]. Then, the length is [tex]2w[/tex].

Using the formula for the perimeter of a rectangle,

[tex]2(w+2w)=42\\\\w+2w=21\\\\3w=21\\\\w=7\\\\\implies 2w=14[/tex]

The best linear regression model for the grade according to the number of hours slept is of:

A. y = 6.38 x + 35.63.

To obtain the linear regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in a linear regression calculator. These points are given on a table or in a scatter plot in the problem.

For this problem, the points are given in the table given by the image at the end of the answer, and are given as follows:

(8, 83), (7, 86), (7, 74), (8, 88), (6,76), (5, 63), (7, 90), (4, 60), (9,89), (7,81).

Inserting these points into the linear regression equation, the equation is given as follows:

y = 6.38 x + 35.63.

Hence the correct option is given by option A.

The problem is given by the image shown at the end of the answer.

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The other end point with the given endpoint (-5, 1) and midpoint (3, -4) is  (11, -9)

A midpoint is a point lying between two points and is in the middle of the line joining the two points.

The mid point formula is represented as follows;

(xₙ, yₙ) = (x₁ + x₂ / 2, y₁ + y₂ / 2)

Let's find the other end point with the given endpoint (-5, 1) and midpoint (3, -4).

Hence,

(3, -4) = (-5 + x₂ / 2, 1 + y₂ / 2)

Therefore,

3 = -5 + x₂ / 2

cross multiply

6 = -5 + x₂

x₂ = 6 + 5

x₂ = 11

-4 =  1 + y₂ / 2

cross multiply

-8 = 1 + y₂

y₂ = -8 - 1

y₂ = - 9

Therefore, the endpoint is (11, -9)

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The area of wallpaper required is 0.98 [tex]m^{2}[/tex]

Mensuration is a division of mathematics that studies geometric figure calculation and its parameters such as area, length, volume, lateral surface area, surface area, etc. It outlines the principles of calculation and discusses all the essential equations and properties of various geometric shapes and figures. 

Mensuration is a subject of geometry. Mensuration deals with the size, region, and density of different forms both 2D and 3D. Now, in the introduction to Mensuration, let’s think about 2D and 3D forms and the distinction between them.

d = 0.26m

h = 1.2m

s = pi * d * h

 = 0.98 square meter

the area of wallpaper required is 0.98 [tex]m^{2}[/tex]

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Answer:

0.98 m²

Step-by-step explanation:

I got it right hope this helps.

1. The angles measures are larger than the original angle measures is a false statement.

2. If two sides parallel in the original figure, then those sides are parallel in the final figure is true statement.

3. The final angle measure are the same as the original angle measure is false statement.

4. The original figure and the final figure may not be congruent is true statement.

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Answer:

A

Step-by-step explanation:

∠ A and ∠ B are vertically opposite angles and are congruent. that is

∠ A and ∠ B are vertical angles

Answer:123

Step-by-step explanation:

7328x3424

Steven battling average for the whole season he played was 0.45

An equation is an expression showing the relationship between two or more numbers and variables.

Steven hit the ball 12 times out of 26 at bats in the first half of the season and 6 times out of 14 at bats in the second half of the season.

Hence:

Batting average = (total number of time he hit the ball in both season half) / (total number of balls thrown)

Therefore:

Battling average = (12 + 6)/ (26 + 14) = 18 / 40 = 0.45

Steven battling average was 0.45

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a)The probability of exactly 5 accidents will occur is 0.1008.

b) The probability of fewer than 3 accidents will occur is 0.42318.

It is predicated on the likelihood that something will occur. The justification for probability serves as the basic foundation for theoretical probability. For instance, the theoretical chance of receiving a head while tossing a coin is 12. Mathematics' study of random events is known as probability, and there are four primary types of probability: axiomatic, classical, empirical, and subjective. Since probability is the same as possibility, you could say that it is the likelihood that a specific event will occur.

Given,

Mean = 3

a) By using Poission probability formula,

P( X = 5) = e⁺³ (3)⁵/5!

P(X = 5) = 0.1008

The probability of exactly 5 accidents will occur is 0.1008.

b) fewer than 3 accidents will occur:

P( X <3) = e⁻³ (3)⁰ + e⁻³ (3)¹ + e⁻³(3)²

P( X< 3) = 0.4978 + 0.14936 + 0.22404

P( X < 3) = 0.42318

The probability of fewer than 3 accidents will occur is 0.42318.

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The factors of the number 100 are: 1, 2, 4, 5, 10, 20, 25, 50, 100. If you add them up, you will get the total of 217

The blanks in this two-column proof should be completed (filled) as follows:

Statements                                             Reasons_______________

m∠RST = 5x° and m∠UVW = 7x°                Given

∠RST and ∠UVW are supplementary

m∠RST = 5x° + m∠UVW = 180           definition of supplementary angles

5x + 7x = 180                                       substitution property of equality

12x = 180                                              addition property of equality

x = 15                                                    division property of equality

In Mathematics, a supplementary angle simply refers to two (2) angles or arc whose sum is equal to 180 degrees.

Additionally, the sum of all of the angles on a straight line is always equal to 180 degrees. In this context, we can logically deduce that the sum of angles RST and UVW are supplementary angles:

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Using the probability, the expected number of female children in a family with three children is 1.5. The option 2 is correct.

In the given question, we have to find the expected number of female children in a family with three children.

The possibility of having girls in family is 0,1,2 or 3.

From the 8 possible sequences, only one of them give the possibility of 0 girls.

So the probability of 0 girls is 1/8.

There are total 3 ways of having 1 girl.

That is: GBB, BGB, and BBG.

Thus, the probability of 1 girl is 3/8.

Similarly checking for having 2 girls with probability 3/8

Having 3 girls with probability 1/8.

The predicted number of girls is calculated as a weighted average of all potential numbers, where a number's weight is determined by its likelihood of occurring.

The anticipated number of girls is therefore

= 1/8⋅0+3/8⋅1+3/8⋅2+1/8⋅3

= 0+3/8+6/8+3/8

=(3+6+3)/8

=12/8

=1.5

Hence, the expected number of female children in a family with three children is 1.5.

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Answer: show us the graph

Step-by-step explanation:

Gender and marital status and Job title.

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VZW=64

Step-by-step explanation:

Since the lines are straight the angles are equal. 2x+32=3x+16

Solve this for x.

32=x+16

16=x

Put the value for x (16) in to one of the angle equations

2(16) + 32 = 32 + 32 = 64

The Ratio of money made by Jackie and Liana by selling lemonade is 2/3

What does a math ratio mean?

Definitions: If b is not equal to 0, then an ordered pair of numbers a and b, denoted as a/b, is a ratio. A proportion is an equation that equalizes two ratios. You could, for instance, write the ratio as follows: 1: 3 in the case of 1 boy and 3 girls.

How is a ratio calculated?

By typically dividing two figures, ratios contrast them. If you were comparing one data point (A) to another data point, your formula would be A/B. (B). You are multiplying information A by information B, as indicated by this. For instance, if A is 5 and B is 10, your ratio will be 5/10.

Given that

Jackie earn = $24

Liana earn = $36

Ratio of their earning = 24/36 = 2/3

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1) Probability that exactly 4 flights are selected is; P(X = 4) = 0.11469

2) The probability that at most 3 flights are on time is; P(X ≤ 3) = 0.99533

3) The probability that at least 6 flights are on time is; P(X ≥ 6) = 0.57672

The formula for binomial probability distribution is;

P(r) = nCr * p^(r) * (1 − p)^(n − r)

Where;

n = Number of events

r = Number of successful events in the trials

p = Probability of success in the single trial of the events

We are given;

p = 80% = 0.8

n = 7

1) Probability that exactly 4 flights are selected is;

P(X = 4) = ⁷C₄ * 0.8⁴ * (1 − 0.8)^(7 − 4)

P(X = 4) = ⁷C₄ * 0.8⁴ * 0.2³

P(X = 4) = 0.11469

2) The probability that at most 3 flights are on time is;

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

Solving using online binomial calculator gives;

P(X ≤ 3) = 0.99533

3) The probability that at least 6 flights are on time is;

P(X ≥ 6) = P(X = 6) + P(X = 7)

P(X ≥ 6) = 0.57672

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The likelihood of their next third child having additional digits of (six fingers on each hand and six toes on each foot) is 1/2.

For the given condition,

Because the father has the dominant feature as well as the mother is now in normal condition, there is a 50% chance that this deformity will be passed down to children.

Thus, the likelihood of their next (third) child having additional digits is 1/2.

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For the given triangle, the value of x would be 12.

What is the geometric mean theorem of a triangle?

According to the geometric mean theorem, the length of an altitude drawn from a triangle's right angle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.

For the given triangle, we can apply the geometric mean theorem,

                      By the geometric mean theorem, we can write

                                      6² = 3 * x

                                      36 =  3 * x

                                  ⇒ x = 36/3

                                  ⇒ x = 12.

Hence, for the given triangle, the value of x would be 12.

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The locations of the destinations given by the angles formed between parallel lines and their common transversal in the question are;

1) US Capitol

2) CIA Building

3) US Capitol

4) US Treasury

5) Walmart

The relationship between the angles formed are;

1) The location that is at a corresponding angle to the White House is the Supreme Court

The location at the vertical angle to the Supreme Court is the Smithsonian Institute

The location that is at the angle right adjacent to the Smithsonian Institute is the US Capitol

2) The location that is vertical angles to the FBI Building is the National Zoo

The same side interior angle to the National Zoo is the National Coffee shop

The location at the alternate interior angle to the National Coffee Shop is the CIA Building

3) The location at the alternate exterior angles to Lincoln Memorial is Walmart

The adjacent location that is a right angle to Walmart is the White House Gardens

The location that is at the corresponding angle to the White House Gardens is the US Capitol

4) The location that is at the corresponding angle location to the Smithsonian Institute is the National Zoo Gift Shop

The location that is at the same side interior angle to the national gift shop is the US Capitol

The location that is at the vertical angle location to the US Capitol is the US Treasury

5) The location that is at alternate interior angle location to the Ford's theater is the US Capitol.

The location that is supplementary with the Vietnam War Memorial and the National Zoo is the National Coffee Shop

The location at the angle that is vertical from the National Coffee Shop is the Lincoln  Memorial

The location that is at alternate exterior angle with the Lincoln Memorial is Walmart

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The height h of the triangle is equal 6.2cm

Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle. The basic trigonometric ratios are sin, cos, and tan, namely sine, cosine, and tangent ratios.

In this case, we have some data and we can easily plug in those values and find the height.

We can apply the sine ratio to this problem and solve.

sinθ = opposite / hypothenuse

sin 51 = h /8

h = 8 sin 51

h = 6.2cm

Using trigonometric ratio, the value of h is 6.2cm

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Answer:

3

Step-by-step explanation:

9-2/3x=7

We know that 9-2=7 so 2/3x must be 2

2/3x=2

You have to multiply each side by 3/2

x=3

The number is 3

The original amount of nuts, x, in the recipe is 103

The equation for the original amount is 2x + 2x = 412

An algebraic expression can be defined as an expression made up of terms, factors, constants, coefficients, and variables.

These expressions are also known to be made up of mathematical operations such as;

From the information given, we have that;

Beverly doubles the amount of nuts and peanut butter chips

Total number = 412

This is represented as;

2x + 2x = 412

collect like terms

4x = 412

Make 'x' the subject of formula

x = 412/ 4

x = 103

Hence, the value is 103

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The value of 9 pounds of blueberries is $24.75.

The value of 5 pounds of blueberries is $13.75.

The fact that the Blueberry Farm sells 6 pounds of blueberries for $16.50 implies that the cost per pound will be:

= $16.50 / 6

= $2.75

Therefore, 9 pounds of blueberries cost:

= Cost per pound × 9

= $2.75 × 9

= $24.75

5 pounds of blueberries will cost:

= 5 × $2.75

= $13.75

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90° is the least angle measure by which this figure can be rotated so that it maps onto itself.

The correct option is (B)

From the figure,

As the figure has two axis of symmetry, placing x and y axis such that the origin lies on its centroid.

Angle between x axis and y axis is 90°.

So rotating any degree which is a multiple of 90 i.e., 90°, 180°, 270°, 360°...… would yield the original figure.

Therefore, 90° is the least angle measure by which this figure can be rotated so that it maps onto itself.

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Step-by-step explanation:

the equation

y = -8/5 x + 6

tells us 2 things :

-8/5 is the slope of the line, 6 is the y-intercept (the y value when x = 0).

a parallel line has the same slope (just a different y-intercept) : -8/5

a perpendicular line (intercepts at 90°) turns the original slope upside-down and flips the sign : 5/8

we the use the given point as x and y values and calculate the y-intercepts.

parallel :

3 = -8/5 × 5 + y-intercept = -8 + y-intercept

11 = y-intercept

y = -8/5 x + 11

perpendicular :

3 = 5/8 × 5 + y-intercept = 25/8 + y-intercept

(3×8)/8 = 24/8 = 25/8 + y-intercept

-1/8 = y-interceot

y = 5/8 x - 1/8 = 1/8 × (5x - 1)

The measurement of a quantity requires units to be defined. The 6 ounce of raisins is equal to 171100 milligrams of it.

A measurement unit is unit to measure different quantities such as mass, length and time.

The measurement unit of one quantity can be converted into the other by multiplying it with a certain number.

Given that,

The amount of raisins is 6 ounces.

Since One ounce is equal to 23.85 grams,

6 ounce converted in grams equals 6 × 28.35 = 171. 10 grams

Now, 1 gram = 1000 milligrams.

Therefore, 171. 10 grams = 171.10 × 1000 milligrams

                                         = 171100 milligrams.

Hence, 6 ounces of raisins is equivalent to 171100 milligrams.

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Answer:

A recipe calls for 170,100 milligrams of raisins.

Step-by-step explanation:

I took the exam and got it right