The following histogram summarizes the amount spent on plane tickets to travel home, in dollars, for a group of 30 college students

An angle is denoted by the angle symbol ∠ and the three letters representing the name of the angle.

An angle is denoted by the angle symbol ∠ which is then being followed by three letters that will represent the points that form an angle.

Lets say for example, the expression ∠ABC will mean that “the angle is formed by the points A, B and C”

where the vertex of the angle is at the point B as it is in the middle.

Angles can also be of different types like:

An Acute Angle which means an angle is less than 90 degrees.

A Right Angle which means an angle which is exactly 90 degrees.

An Obtuse Angle which is an angle more than 90 degrees and less than 180 degrees.

A Straight Angle which is an angle that is exactly 180 degrees.

And a Reflex Angle which is an angle greater than 180 degrees and less than 360 degrees.

Therefore, an angle is denoted by the angle symbol ∠ and the three letters representing the name of the angle.

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Answer:

See below

Step-by-step explanation:

g (h(6))   :

   h (6) =  3 ( 6^2) + 2 = 110

   then g (110) =   sqrt (110)

h (g(5))

    g(5) = sqrt 5

        then h( sqrt5) = 3 ( sqrt5)^2 + 2 = 17

Answer:

B

Step-by-step explanation:

(48x-50y)-(35x-5y)

48x-50y-35x+5y

13x-45y

Answer:6,299,406

Step-by-step explanation:

The value of z = 2.25

Given that z is a standard normal random variable.

Now the area under a standard normal curve between two z -values gives the probability of z lying between these two z-values.

Given that the area to the right of z = 0.0122

That is probability that the standard normal random variable lies after z = 0.0122

Total probability = 1

Therefore half the area under the standard normal curve = 0.5

Therefore, 0.5 - 0.0122 = 0.4878

We will find the corresponding z-value for this probability value from the normal tables. This is because normal tables gives area between two standard normal variables.

The table value corresponding to 0.4878 = 2.25

Therefore, z -value = 2.25

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Answer:

2/9

Step-by-step explanation:

To multiply fractions you just multiply the numerators with the numerators and the denominators with the denominators

1/4 * 2/3 = 2/12 which simplifies to 1/6

1/6 * 4/3 = 4/18 which simplifies to 2/9

:D

Answer:

11.2 or 11 1/5

Step-by-step explanation:

multiply it ez

Answer: Use a=wl, 13.3

Step-by-step explanation:

a=wl

4.75*2.8=13.

The number of the sheets in a ream of paper is a 500 sheets.

According to the statement

We have to find that the number pf paper sheets in a one ream.

So, For this purpose, we know that the

The standard form of a number is a way of writing the number in a form that follows certain rules.

From the given information:

A standard ream of paper plus another half ream of paper contains 750 sheets of paper.

It means

total number of sheets = 750 sheets

Then

one full ream + half ream = 750 sheets

Let x be a number of sheets

then

x + x/2 = 750

2x+x /2 = 750

3x/2 = 750

3x = 1500

x = 1500/3

x = 500.

So, The number of the sheets in a ream of paper is a 500 sheets.

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Answer: x = -5

Step-by-step explanation:

3x + 4 = 2x - 1

3x = 2x -5

x = -5

Answer:

no

Step-by-step explanation:

y = 9 + 2 is 11 not 7

Answer:

Part 1) The fractions in the list are not equal to the decimal number indicated

Part 2) The fractions 401/99 and 802/198 are equal to the decimal number indicated.

Part 1)

we have the decimal number

4.05 -----> is a terminating decimal ( t's a decimal with a finite number of digits)

Convert to fraction number

Multiply and divide by 100

Simplify

Divide by 5 both numerator and denominator

therefore

The fractions in the list are not equal to the decimal number indicated.

Part 2) we have

4.050505... ------> is a repeating decimal (is a decimal that has a digit, or a block of digits, that repeat without ever ending)

Let

x=4.050505...

we have that

Multiply by 2 both numerator and denominator

therefore

The fractions 401/99 and 802/198 are equal to the decimal number indicated.

Step-by-step explanation:

The simple interest for R 7,500 is R 1, 800, and she will get it at 3 years with interest of 8%.

Simple interest:

Simple interest means the method of calculating the interest amount for a particular principal amount of money at some rate of interest.

The formula used to calculate the simple interest is

SI = P × R × T

P = The principal is the amount that initially borrowed from the bank or invested.

R = Rate is the rate of interest at which the principal amount is given to someone for a certain time.

T= Time is the duration for which the principal amount is given to someone.

Given,

Cynthia receives a gift of r 7, 500 she decides to invest it for 3 years, she is offered two saving at 8% interest.

Here we need to find the simple interest.

We know that,

P = 7, 500

R = 8/100 = 0.08

T = 3

So, the simple interest is,

SI = 7,500 x 0.08 x 3

SI = 1800

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The value of x is 27°, m∠=PQY=101° and m∠RQY=79°.

Given that, m∠PQY= 4x-7 and m∠RQY = 2x+25 are linear pairs of angles.

Linear pairs of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°.

Now, m∠PQY+m∠RQY=180°

⇒4x-7+2x+25=180°

⇒6x+18=180°

⇒6x=162

⇒x=27°

So, m∠=PQY=4x-7

=101°

and m∠RQY=2x+25

=79°

Therefore, the value of x is 27°, m∠=PQY=101° and m∠RQY=79°.

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Answer:

27

Step-by-step explanation:

The mean of the data given 4, 8,5, 13, 3, 4, 1, 10 shows number of shark attacks over 8 different states is 6.

As given,

Number of different states 'n'= 8

Number of sharks attacks for 8 different states

[tex]x_{i}[/tex] = 4, 8,5, 13, 3, 4, 1, 10

Mean = [tex]\frac{\sum x_{i} }{n}[/tex]

         = (4+ 8+ 5 + 13 + 3 + 4 + 1 + 10) /8

         =48 /8

         =6

Therefore, the mean of the data given 4, 8,5, 13, 3, 4, 1, 10 shows number of shark attacks over 8 different states is 6.

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Answer: 16.0 is the correct answer

Step-by-step explanation:

Mr. Price deposited a $10 bill for $50, a $5 bill for $75, and a $1 bill for $45.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

We have been given that the number of $5 bills was 3 times the number of $10 bills

Let the number of $10 bills would be x

As per the given condition,

$10 = x

$5 = 3x

$1 = 3x+30

Since he deposited $170 in his bank.

So 10x + 5(3x) + 1(3x+30) = 170

⇒ 25x+3x+30=170

⇒ 28x=140

⇒ x = 5

Therefore, $10 for $50

So 3x = 15, $5 for $75

So 3x+30 = 45, $1 for $45

Hence, he deposited a $10 bill for $50, a $5 bill for $75, and a $1 bill for $45.

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[tex]2(x-3)\geqslant -3(-3+x)\implies 2x-6\geqslant 9-3x\implies 2x\geqslant 15-3x \\\\\\ 5x\geqslant 15\implies x\geqslant \cfrac{15}{5}\implies x\geqslant 3[/tex]

Answer:

72

Step-by-step explanation:

7(10) + 2

70 + 2

72

The answer choice which represents a point of the circle with r² = 89 is; Choice B; (5, -8).

It follows from the task content that the circle in discuss has a center at the origin, (0,0).

Hence, the since the square of the radius is; = 89.

It follows that the point which fits into the equation of the circle; x² + y² = r² is;

Choice C; (5)² + (-8)² = 25 + 64 = 89.

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The answer choice which represents a point of the circle with r² = 89 is; Choice B; (5, -8).

It follows from the task content that the circle in discuss has a center at the origin, (0,0).

Hence, the since the square of the radius is; = 89.

It follows that the point which fits into the equation of the circle; x² + y² = r² is;

Choice C; (5)² + (-8)² = 25 + 64 = 89.

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Answer: (2) 1010025

Step-by-step explanation:

Let's find the sum of 1+3+5+7+...+2007+2009

Let's use the formulas for an arithmetic progression:

[tex]a_1=1\ \ \ a+2=3\\d=a_2-a_1\\d=3-1\\d=2[/tex]

[tex]a_1 =1\ \ \ \ a_n=2009\\a_n=a_1+(n-1)d\\\Rightarrow\ 2009=1+(n-1)2\\\Rightarrow \ 2009=1+2n-2\\\Rightarrow\ 2009=-1+2n\\\Rightarrow\ 2010=2n\\[/tex]

Divide both parts of the equation by 2:

[tex]1005=n[/tex]

Hence,

[tex]\displaystyle\\S=\frac{a_1+a_n}{2} n\\\\S=\frac{1+2009}{2}1005\\\\S=\frac{2010}{2} 1005\\\\S=1005*1005\\\\S=1010025[/tex]

Answer:

5 and 6, 3 and 10

Step-by-step explanation:

that's all I can think of

The equation of the line through (3,-5) and perpendicular to -3x + 2y = 12 in slope-intercept form is y =  -2/3x + 1

The equation of a line is expressed as;

y = mx + b

m is the slope

b is the y-intercept

Given the equation -3x + 2y = 12

2y = 3x + 12

y = 3/2x + 6

From the equation, the slope that is perpendicular to the slope is -2/3

Determine the equation

y-(-5) = -2/3(x-3)

y+5 = -2/3x + 6

y =  -2/3x + 6 - 5

y =  -2/3x + 1

Hence the equation of the line through (3,-5) and perpendicular to -3x + 2y = 12 in slope-intercept form is y =  -2/3x + 1

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Answer:

x = -1

Step-by-step explanation:

5x + 3y = 26

- (6x + 7y = 21)

_________

-x - 4x = 5

-5x = 5

x = -1

The value of x in the figure is 5

From the figure, we have the following parameters are:

NM = 9

ML = 2x - 7

NL = x + 7

This means that

NL = NM + ML

So, we have:

x + 7 = 9 + 2x - 7

Collect the like terns

x - 2x = 9 - 7 - 7

Evaluate

-x = -5

This gives

x = 5

Hence, the value of x in the figure is 5

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Answer:

quadrant I

Step-by-step explanation:

because both numbers are positive and quadrant I is the only one that has positive numbers on the y and x axis.

Answer:

C. Quadrant 1

Step-by-step explanation:

if both X and Y are positive, then the point lies in the Quadrant I.

Using Chebyshev's Theorem, the minimum proportion of scores that fall within 1.8 standard deviations on both sides of the mean is 69.14%.

When the distribution is unknown, Chebyshev's Theorem is used. It states that:

For this problem, we have that k = 1.8, hence the percentage is:

[tex]P = 100\left(1 - \frac{1}{1.8^{2}}\right) = 69.14[/tex]

The minimum proportion of scores that fall within 1.8 standard deviations on both sides of the mean is 69.14%.

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Answer:

10,877

Step-by-step explanation:

Answer: Determine the mid-point.

Determine the slope between the two points.

The slope of perpendicular is negative reciprocal

Use slope and mid-point is point slope form.

Step-by-step explanation: