The histogram below displays the scores for a class of 37 students on a recent exam. Scores on this exam ranged from 51 to 98 points out of 100. Let the function f map an exam score to the height of the bar whose interval contains that score

Given the total amount paid off and the interest, the original amount borrowed within the given period of time is $565.00

Simple interest is simply a method to determine the amount of interest charged on a sum at a given rate and for a given period of time.

It can be expressed as;

A = P( 1 + rt )

Given the data in the question;

To determine the initial amount borrowed, plug the given values into the equation and solve for P.

A = P( 1 + rt )

615.85  = P( 1 + ( 0.09 × 1 ) )

615.85  = P( 1 + 0.09 )

615.85  = P( 1.09 )

P = 615.85 / 1.09

P = $565.00

Given the total amount paid off and the interest, the original amount borrowed within the given period of time is $565.00

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The cost of the jalapeno poppers is C. $8.87.

Since each friend paid $8.94, not including sales tax or tip,the total amount paid will be:

= $8.94 × 3

= $26.82

Therefore, the cost of the jalapeno will be:

= $26.82 - $17.95

= $8.87

The correct option is C

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Answer:

m∠C=76

Step-by-step explanation:

AE≅BE

Base angle Theorum. So, ∠A≅∠B.

m∠B=55

m∠B=m∠A

m∠A=55

All triangles add up to 180 degrees.

m∠A+m∠B+m∠BEA=180

55+55+m∠BEA=180

m∠BEA=70

m∠BEA=m∠DEC (Vertical Angles)

m∠DEC=70

m∠DEC+m∠D+m∠C=180

70+34+m∠C=180

m∠C=76

Answer: 6

Step-by-step explanation:

7+2+5+10= 24
24 divided by 4 equals 6

Writing the ratios 25:4 and 45:10 as a complex fraction will be 6 1/4 and 4 1/2.

From the information, it should be noted that we want to write the ratios 25:4 and 45:10 as a complex fraction.

It should be noted that we simply have to convert the numbers to fractions. This will be:

25:4 = 25/4 = 6 1/4

45:10 = 45 / 10 = 4 5/10 = 4 1/2.

Therefore, writing the ratios 25:4 and 45:10 as a complex fraction will be 6 1/4 and 4 1/2.

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95% is the percentage error in estimating the main height.

So, let the percentage error be x.

Then,

Therefore, the percentage error is 95%.

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Answer:

.

Step-by-step explanation:

The next when Randy and Sue will both have music lessons on Monday May 23rd.

First we will list the multiple of 4 and 5 to solve this question and then we will find the common multiple of them because the two activities will happen again in a number divisible by both 4 and 5.

The multiples of 4 are : 4, 8, 12, 16, 20, ...

The multiples of 5 are : 5, 10, 15, 20, ...

Now we got the common multiple which is 20,

So, The common multiple of 4 and 5 is 20.

That means Randy and Sue will both have music lessons on after 20 days from Tuesday May 3rd.

Hence, Randy and Sue will both have music lessons on Monday May 23rd.

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The Broadway theater had 100 Orchestra, 220 main seat and 190 balcony seats.

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

Let x represent the number of Orchestra, y represent the main seat and z represent the balcony seat.

A Broadway theater has 510 ​seats, Hence:

x + y + z = 510    (1)

Also:

140x + 135y + 100z = 62700    (2)

And:

135y + 100z + (1/2)(140)x = 55700    (3)

From the three equations:

x = 100, y = 220, z = 190

The Broadway theater had 100 Orchestra, 220 main seat and 190 balcony seats.

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Answer: i hope this answers your question

Step-by-step explanation:

the function is negative over the interval (-3,5)

the function is positive over the interval (-..-5)

the function is positive over the interval (3,..)

Answer:here

Step-by-step explanation:

the function is negative over the interval (-3,5)

the function is positive over the interval (-..-5)

the function is positive over the interval (3,..)

Answer:

4 Square units

Step-by-step explanation:

The height is incorect

It is meant to be the vertical height which is the distance from A to AB (3 - 1 = 2)

[tex] \frac{1}{2} bh = \frac{1}{2} \times 4 \times 2 \\ = 4 \: square \: units[/tex]

Answer:

1. Signed

2. True, -(30/6)=-5, 30/-6=-5, hence they are equal

3. True

Step-by-step explanation:

Answer:

Question 5 is true

Question 4 is false

Step-by-step explanation:

I am not sure about the first question because numbers that are either positive or negative are called integers, however, this is not one of the options.

The number of customers that bought chocolates chips last month is 240.

He discovered that 3 out of 5 people who came into his bakery for cookies bought chocolate chip cookies.

400 customers bought cookies at Bo's Bakery last month.

The number of people that bought chocolate chip cookies are as follows:

Therefore, using the fraction 3 / 5

3 out of 5 can be represented in fraction form as  3 / 5

number that bought chocolate chip = 3 / 5 × 400

number that bought chocolate chip = 1200 / 5

number that bought chocolate chip = 240

Therefore, the number of customers that bought chocolates chips last month is 240.

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x = 40 is the value of vertical angles .

What is vertical opposite angles?

Angles that are vertically opposed to one another at a certain vertex are formed by two straight lines intersecting. Angles that are vertically opposed to one another are equal.

The total of the two vertical angle pairs, or four angles, is always 360 degrees. Angles that come from each pair of vertical angles are supplementary and are referred to as neighboring angles (the angles sum up to 180 degrees).

(3x + 2)° and (5x-78)° are equal .

because of they are  vertical opposite angles.

3x + 2 = 5x - 78

5x - 3x = 78 + 2

2x = 80

x = 40

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the HCF of the numbers 81 and 154 must be 1.

HCF means the highest common factor that the two numbers have between them. When the numbers are divided by HCF, they become composite numbers. It is the greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

We are given two numbers:

81 and 154

We know that 81 is:

81 = 3 × 3 × 3 × 3

And 154 is:

154 = 2 × 7 × 11

We can see that both the numbers do not have any factor in common.

So, the highest common factor that is the HCF can be 1 only.

Therefore, the HCF of the numbers 81 and 154 must be 1.

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Explanation:

So, looking at the ruler, we;re going to take the whole number of the measurment from the whole bars of inches it overlaps (1-3) since we know it goes past there we will have a fraction beside it (because it does not go all the way to 4) If you see the longest lines in between the 3 and 4, there are 3 bars (which means each is 1/4.) Now, we know that it covers 3/4 of the last inch. To convert to /8, we multiply the numerator and denominator by 2 so we have 6/8. The CLOSEST (but not completely correct) (in 1/8 inches) would be D. (but ONLY if A is incorrect because that is simplified and the accurate answer.

(Option a) Gonzalez and Bros . Inc has the absolute advantage when it comes to producing phones.

Absolute advantage theory

Adam Smith, an economist from the 18th century, introduced the idea of absolute advantage in his book The Wealth of Nations to explain how nations might profit from trade by specializing in producing and exporting the things that they can manufacture more successfully than other nations.

On the other hand, low-cost manufactured items are produced and exported by China, Thailand, and Vietnam. These three nations enjoy a distinct advantage as a result of their significantly reduced unit labor costs.

Here, option a Gonzales and Bros. Inc has the absolute advantage when it comes to producing phones.

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The number of possible identification codes is 2100

The given parameters are:

There are 5 even digits

So, we have

Digits = 5

There are 21 other letters aside A, E, I, O, U

So, we have:

First letter = Any of the 21 letters

Second letter = Any of the remaining 20 letters

So, we have

Combination = 5 * 21 * 20

Evaluate the product

Combination = 2100

Hence, the number of identification codes is 2100

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Answer:

the answer would be 0.364

C = 3√3, a = 4√2 are trigonometric ratios of the  right triangles .

What do trigonometric ratios represent?

The values of the provided variable will be determined using trigonometric ratios.

We must choose a ratio that includes base and perpendicular for c. So, we'll utilize tan x.

tan 60 = P/B

tan 60 = C/3

√3 = C/3

3 × √3 = C

C = 3√3

similarly for a

Sin 45 = b/h

√2/2 = a/8

√2 * 8 / 2 = a

a = 4√2

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Step-by-step explanation:

medium =9

range = 12-7=5

mode=7

Answer:

y=5

Brainliest, please :)

The value of the expression -3/5 - 8³ + 3t​ is found as (-517.1).

For the given equation; -3/5 - 8³ + 3t​.

The value of t = -1.5.

Put the value of 't' in the one degree linear equation.

= -3/5 - 8³ + 3t

= -3/5 - 8³ + 3(-1.5)

Simplify the equation;

= -0.6 - 512 - 4.5

Add all the values with sign.

= -517.1

Thus, the simplification if the one degree linear equation is found as (-517.1).

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Answer:

Step-by-step explanation:

According to the solving the capacity of the tank is  = 500

The term 'volume' in mathematics refers to the amount the three-dimensional space occupied by such an item or a closed surface. The volume is measured in cubic units like as m3, cm3, in3, and so on. Volume is also referred to as capacity at times.

Volume is the amount of three-dimensional space inhabited by a liquid, solid, or gas. Volume is commonly expressed in liters, cubic meters, gallons, milliliters, teaspoons, and ounces, while many additional units exist.

fuel storage tank is 3/4 full.

75 liters have been drawn off.

it is 3/5 full.

The capacity of the tank = ?.

So,

3/4x - 75 = 3/5x

3/4x - 3/5x = 75

Multiplying by 20 both the side:

15x - 12x = 1,500

3x = 1500

x = 1500/3

x = 500

According to the solving the capacity of the tank is  = 500

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Answer: B. 60.96

Step-by-step explanation:

27% of 48 is 12.96

12.96+48=60.96

2x - 3y = -9  is equation of line which passes through slope 2/3.

Describe slope using an example?

m = [tex]\frac{y{2} - y{1} }{x{2} - x{1} }[/tex]

put x₁ = 3 , x₂ = -3 , y₁ = 3 and y₂ = -1

m = [tex]\frac{-1 - 3}{-3 - 3}[/tex]

m = [tex]\frac{-4}{-6}[/tex]

m = 2/3

The line that passes through (3, 5) =

                    ⇒   y - y₁ = m( x - x₁)

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

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

                     ⇒ 3y - 15 = 2x - 6

                      ⇒ 2x - 3y = -15 + 6

                     ⇒ 2x - 3y = -9

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It could be 400 sets of 4 digits.

combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the elements of the subset can be listed in any order The components of the subset are listed in a permutation in a certain order.

Given that: Alan is aware that the first digit is nine and the final digit is greater than five.

Optional first digit: 1 (9)

10 choices for the second digit (0 to 9)

10 choices for the third digit (9 to 9)

Optional fourth digits: 4. (6, 7, 8, 9)

Possibility of sets:

1×10×10×4 = 400

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The moment of inertia (I) solved for, from the angular kinetic energy formula is I = 2E/w².

Angular kinetic which is also referred to as  rotational energy is simply the kinetic energy due to the rotation of an object.

It is expressed mathematically as;

E = (1/2)Iw²

To solve for I, we first reorder the equation to bring the term containing I to the left side.

E = (1/2)Iw²

(1/2)Iw² = E

Multiply both sides by 2

2 × (1/2)Iw² = 2 × E

Iw² = 2 × E

Iw² = 2E

Now, divide both sides by the question of I.

Iw²/w² = 2E/w²

I = 2E/w²

Therefore, the moment of inertia (I) solved for, from the angular kinetic energy formula is I = 2E/w².

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Answer: Negative one twelfth

Step-by-step explanation:

Answer: 1/12

Step-by-step explanation:

the answer is actually 1/12 not -1/12

Slope is equal to the change in

y

over the change in

x

, or rise over run.

m

=

change in y

change in x

The change in

x

is equal to the difference in x-coordinates (also called run), and the change in

y

is equal to the difference in y-coordinates (also called rise).

m

=

y

2

−

y

1

x

2

−

x

1

Substitute in the values of

x

and

y

into the equation to find the slope.

m

=

−

4

−

(

−

7

2

)

4

−

(

−

2

)

Simplify.

Simplify the numerator.

m

=

−

1

2

4

−

(

−

2

)

Simplify the denominator.

m

=

−

1

2

6

Multiply the numerator by the reciprocal of the denominator.

m

=

−

1

2

⋅

1

6

Multiply

−

1

2

⋅

1

6

.

m

=

−

1

12