The distribution of ages of licensed drivers shopping at the kalish county mall is normally distributed with mean 41 and standard deviation 7. A person will be selected at random. Round your answers to the nearest hundredth.

m<A = 112.5

m<B = 67.5

m<C = 67.5

m<D = 112.5

Consider the provided information.

The sum of all interior angle of a polygon is: (n-2)*180

Substitute n = 8.

(8-2)*180 = 1080

Thus, the measure of each angle is:

∠B and ∠C are congruent and their sum is 135°

∠B+∠C=135°

∠B=67.5°

Hence, the m angle B and m angle C is 67.5°.

The sum of all angles of a quadrilateral is 360°.

∠A+∠D+∠B+∠C=360°

∠A+∠D=360°-135°

∠A+∠D=225°

∠A and ∠D are congruent and their sum is 225°

∠A+∠D=225°

∠A=∠D=112.5°

Hence, the m angle A and m angle D is 112.5°.

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Answer: y=1/5x + b

Step-by-step explanation:

The slope intercept for the equation is y=mx +b

Your equation is already in the slope-intercept form!

Answer:

Step-by-step explanation:

To find which one is faster, it would be distance/speed.

40m/3 = 13.33 repeating

50m/4 = 12.5

You would be traveling faster at 40 miles in 3 hours since you are going at 13.33 miles per hour

The angle is in 4th quadrant and the value of [tex]sin\theta[/tex] is -(4/5).

One of the most significant areas of mathematics, trigonometry has a wide range of applications. The study of the connection between the sides and angles of the right-angle triangle is essentially the focus of the field of mathematics known as "trigonometry." Therefore, employing trigonometric formulae, functions, or trigonometric identities can be helpful in determining the missing or unknown angles or sides of a right triangle. Angles in trigonometry can be expressed as either degrees or radians.

There are two other sub-branch classifications for trigonometry. The two varieties of trigonometry are as follows:

Everything is normal in Quadrant I, and Sine, Cosine, and Tangent are all positive.

However, the x direction is negative and the cosine and tangent become negative in Quadrant II.

Sine and cosine have negative values in Quadrant III.

Sine and tangent are negative in Quadrant IV.

since,

[tex]cos\theta = 3/5 (+ve)\\\ sin\theta\ is\ ( -ve)[/tex].

So the angle is in 4th Quadrant.

we know,

[tex]sin^{2}\theta + cos^{2}\theta = 1[/tex]

⇒ [tex]sin^{2}\theta = 1 - (\frac{3}{5}) ^{2}[/tex]

⇒[tex]sin^{2}\theta = 1 - \frac{9}{25} = \frac{16}{25}[/tex]

⇒ [tex]sin\theta = -\frac{4}{5}[/tex]     (since The angle is in 4th Quadrant)

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209952 is the value of 432x486

Multiplication is a method of finding the product of two or more numbers

We need to multiply 432 and 486

Steps to follow to find this

1. Line up both your numbers with one on top of the other.

2.Make sure that the places match up for the ones, tens, and hundreds

3. Multiply the top number by the last digit of the second number – the 'ones' unit.

     432

   ×486

___________

     2592

    3456+

   1728++

_____________

   209952

Hence, 209952 is the value of 432x486

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                                             Incomplete question

39 is 0.3​% of 13,000.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the number be x

So, 0.3% of x= 39

0.3/ 100 x= 39

0.3 x = 3900

x= 3900/ 0.3

x= 13000

Hence, 39 is 0.3​% of 13,000.

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Answer:

(2,0)

Step-by-step explanation:

5x + 9y = 10

4x -3y = 8  If I multiple this second equation all the way through by 3, then the y's would cancel out when I add the equations together.

12x -9y = 24  multiplied the second equation through by 3

5x + 9y = 10  Add the 2 equations together

17x         = 34  Divide both sides by 14

x = 2

Plug 2 in for x for either of the two original equations and solve for y

5x + 9y = 10

5(2) + 9y = 10

10 + 9y = 10  Subtract 10 from both sides

9y = 0  Divide both sides by 0

y = 0

(2,0)

Answer:

The largest possible product of two positive integers whose sum is 9 is achieved when the two integers are as far apart as possible, which occurs when one integer is the largest possible integer and the other is the smallest possible integer. The largest possible integer is the one that is closest to but less than 9, which is 8, and the smallest possible integer is 1. The product of 8 and 1 is 8, so the largest possible product of two positive integers whose sum is 9 is 8.

Answer: yes

Step-by-step explanation: there’s a pattern of 2, as we can see from the first equation. 5+2 is 7, so therefore the answer is yes.

The area of ΔUVW is 21 units.

What is the area of the triangle?

The total area bounded by a triangle's three sides is referred to as the triangle's area. In essence, it is equal to 1/2 of the base times the height, or A = 1/2 b x h. As a result, we need to know the triangular polygon's base (b) and height (h) in order to calculate its area.

From given figure we can see that WV is the height of the triangle and WU is the base.

W = (-3, 6), V = (-3, -8) and U = (0, 6).

To find the distance WV and WU by using the distance formula.

[tex]d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

So,

[tex]WV = \sqrt{(-3+3)^2 +(-8-6)^2} = \sqrt{(-14)^2} = 14\\ WU = \sqrt{((0+3)^2+(6-6)^2} = \sqrt{3^2} = 3[/tex]

Hence, the height is 14 units and the base is 3 units.

⇒

Area of triangle = 1/2 x base x height

                           = 1/2 x 3 x 14

Area of triangle = 21 units

Hence, the area of ΔUVW is 21 units.

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Answer: 1/-4

Step-by-step explanation:

Find your initial y and x points (-2y and 0x) and then find another point that is equivalent (-1y and -4x) and use m=rise/run = y2-y1/x2/x1 to get your answer of 1/-4

Answer:

-4 = -6(r+3)

r+3 = 2/3

r = -1/2/3

Match each of the expressions to the right point:

[tex]-\sqrt{18}[/tex] = c

[tex]-\frac{17}{3}[/tex] = b

[tex]-2\pi[/tex] = a

Answer:

Given below in the picture

I hope my answer helps you.

Answer: The distance between the points (3, 4) and (0, 0) is 5.

Step-by-step explanation: The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This theorem can be used to find the distance between two points in a coordinate system.

To find the distance between two points in a coordinate system, you can use the following steps:

Identify the coordinates of the two points.

Calculate the difference between the x-coordinates and the y-coordinates of the two points.

Use the Pythagorean Theorem to find the distance between the two points.

For example, to find the distance between the points (3, 4) and (0, 0), you would do the following:

Identify the coordinates of the two points: (3, 4) and (0, 0).

Calculate the difference between the x-coordinates and the y-coordinates of the two points: 3 - 0 = 3 for the x-coordinates and 4 - 0 = 4 for the y-coordinates.

Use the Pythagorean Theorem to find the distance between the two points: the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides, so the distance between the points is equal to the square root of 3^2 + 4^2 = 9 + 16 = 25 = 5.

Therefore, the distance between the points (3, 4) and (0, 0) is 5.

The two ordered pairs that are solutions of the inequality are:

( 2 , 5 ) and  ( 0 , 0 )

Here we have the linear inequality:

2x - 3y < 15

To check which ordered pairs are solutions, we just need to evaluate these points on the inequality and see if it becomes true or not.

For example, with the first pair (2, 5) we will get:

2*2 - 3*5 < 15

4 - 15 < 15

-11 < 15

This is true, so (2, 5) is a solution.

The other solution is the fourth option (0, 0), so we get:

2*0 - 3*0 < 15

0 < 15

(0, 0) is also a solution.

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Answer:

b)  The mixed number seven and three fourths inches.

Step-by-step explanation:

Given:

To find the total length of the wood, sum the length of the picture and two margins:

[tex]\implies \sf Total\;length=6\frac{3}{4}+\dfrac{1}{2}+\dfrac{1}{2}[/tex]

Two halves equal 1:

[tex]\implies \sf Total\;length= 6\frac{3}{4}+1[/tex]

When adding a mixed number to a whole number, simply add the whole numbers together:

[tex]\implies \sf Total\;length= (6+1)\frac{3}{4}[/tex]

[tex]\implies \sf Total\;length= 7\frac{3}{4}[/tex]

Therefore, the total length of the wood required is:

The solutions for the given division are explained below:

One of the four fundamental operations of arithmetic, or how to mix numbers to create new ones, is division. Addition, subtraction, and multiplication are the other operations.

In its most basic form, the division of two natural numbers involves counting the instances in which one number is contained inside another, among other possible applications. It is not required that this number be an integer. When two natural numbers are divided with a remainder, or in the Euclidean method, the result is an integer quotient, or the number of times the second number is entirely included in the first, and a remainder, or the portion of the first number.

1) 2.25/2.5=0.9

2) 35/0.05=700

3) 45/0.15=300

4) 630.21/0.07=9003

5) 0.29/9.28=0.03125

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7) The minimum temperature is 31⁰F. So, the answer is option B.

The frequency of various types of values can be easily observed using a stem and leaf plot, also known as a stem and leaf diagram. This graph displays numerical data that is arranged in chronological order. There is a stem and a leaf for each piece of data.

Each first or second digit of the data value is divided into a stem, and the last digit is represented by a leaf, in a stem and leaf plot, which is represented by a particular table. The stem and leaf plot key is the "|" symbol that is used to indicate the values of the stem and the leaf. In the case of 46, the stem is 4 and the leaf is 6.

7) The minimum value in the stem is 3

And the minimum value in the leaf is 1

So, according to the given key 4|3=43°F

Here | denotes the key symbol.

So, in this solution the minimum value of stem is 3 and the minimum value of leaf is 1

Therefore, it must be 3|1

Hence, from the given key

This can be written as 31⁰F

Therefore, the answer is option B.

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Pan tool do the data analyst use to select the area on the map representing Finland.    

What is data analyst?

A data analyst is working with the world happiness data in table. To use Pan tool to select the area on the map representing Finland.

A data professional examines data to uncover critical insights about a company's consumers and how the data may be utilized to address problems. They also share this information with corporate executives and other stakeholders.

Pan allows us to shift the map to focus on it or present the areas in the way we wish. Simply pick the Pan Option and move the map around to suit your needs. Alternatively, you may move the map by holding down the Shift key.

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Answer:

(A) x + 3y - 10

Step-by-step explanation:

This Questions tests on the concept of solving algebraic expressions.

Eg. 7x + 4y + 3y + 9x = 16x + 7y

(Note that BODMAS rule applies to algebraic expressions as well.)

Given from the question:

5x + 8 - 13y - 4x - 18 + 16y

= 5x - 4x - 13y + 16y + 8 - 18 (Regroup the terms)

= x + 3y - 10 (A)

Answer: 22

Step-by-step explanation:

f(x) = -5x + 2

Substitute the x for -4

f(-4) = -5(-4) + 2

f(-4) = 20+2

f(-4) = 22

Answer:

Step-by-step explanation:

Can You Please Send Me A Clearer Picture I Can Help

Answer:

$7307

Step-by-step explanation:

you need to add them together okay got.

There are two ways to represent this equation: "x + (x + 1) + (x + 2) = 42" and "(x minus 1) + x + (x + 1) = 42".

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical phrase with two equal sides and an equal sign is called an equation. An example of an equation is 4 + 6 = 10.

Here,

There are 2 ways,

x+(x+1)+(x+2)=42

(x-1)+x+(x+1)=42

This equation can be written as "x + (x + 1) + (x + 2) = 42" or "(x minus 1) + x + (x + 1) = 42," respectively.

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Answer:

[tex]\sf P(B|A)=0.60[/tex]

Step-by-step explanation:

Given:

If events A and B are independent then:

[tex]\boxed{\begin{aligned} \sf P(A \cap B)&=\sf P(A)P(B)\\\sf P(A|B)&=\sf P(A)\\\sf P(B|A)&=\sf P(B)\end{aligned}}[/tex]

Therefore:

[tex]\implies \sf P(B|A)=P(B)=0.60[/tex]

Answer:

(-6.5,3]

Step-by-step explanation: