24 children were asked which is their favourite colour from a choice of red, blue
green or yellow. Their answers are shown below:
Blue
Red
Red
Green
Yellow
Red
Red
Red
Complete the frequency table.
Colour
Red
Blue
Red
Yellow
Red
Blue
Green
| Yellow 1111
Green
Blue
Green
Blue
Tally
Un Un
un
Analysing and Displaying Data
Yellow
Yellow
Blue
Red
Frequency
Red
Red
Blue
Yellow

Expressing 675dam is 675000cm

A centimeter (American spelling centimeter, symbol cm) is a unit of length that is equal to one hundredth of a meter, the current SI base unit of length. A centimeter is part of a metric system.

A decameter (American spelling: dekameter, symbol: dam) is a measurement of distance equal to ten meters. This measure is included mostly for completeness

0.001. dam in 1 cm

Formula:

dam x 1,000 = cm

675 dam x 1,000 = 675,000 cm

Therefore, 675 dam is equal to 675000cm

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The interest rate is 6%.

What is an interest rate?

The amount of interest due each period expressed as a percentage of the amount lent, deposited, or borrowed is known as an interest rate. The total interest on a loaned or borrowed sum is determined by the principal amount, the interest rate, the frequency of compounding, and the period of time the loan, deposit, or borrowing took place.

Here,

It is given the initial amount was $1100 and after 51  days, it was worth $1110.44.

The interest can be calculated as follows:

Interest = $1110.44 - $1100

= $ 10.44

Now, we find the simple interest

I = PRT

I =  10.44

P =  $1100

T = 51 days

R =?

We put the given value in the formula and get

10.44 = (1100 ×51 ×R)/360

R = 0.066 × 100%

R = 6%

Hence, the interest rate is 6%.

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The group that contains numbers that all round most closely to 1 is group 2 (10/11, 5/6, 7/9,)

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this case, it should be noted the group 2 that has 10/11, 5/6, and 7/9 are close to 1.

Therefore, the correct option is B.

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Answer:

£52 was the original price

Step-by-step explanation:

Answer:

  A. The number of pages in the assignment

Step-by-step explanation:

You want to know which of several possibilities the amount of time it takes to complete a reading assignment might be a function of: pages, cost, age of the book.

We expect that an assignment to read more pages will result in a longer completion time. While there might be different completion times for the same number of pages in different assignments (relation not a function), the relation might be a function for assignments in the same book.

There are many factors affecting the cost of a book, including the materials it is made of, the number of printed copies, the difficulty of providing the necessary typesetting and illustrations. These factors may also affect the time it takes to read an assignment. In general, we don't expect that a given number of pages in a book costing $20 will take longer to read than in a book costing $10 or $50. That is, we don't expect completion time to be a function of the cost of the book.

As with book cost, the year of publication may also have a relationship with readability. Older books may use different language, unfamiliar terminology, more (or less) complex illustrations, different typography. These may have a bearing on the time it takes to complete a reading assignment. However, if the same material is presented in the same way in a book published in 1900 versus 2000, we don't expect the assignment completion time to change.

The time it takes to complete a reading assignment is most likely to be a function of the number of pages in the assignment (other factors being equal).

Converting 195 ml to liters using unit fractions is 39/200.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

It should be noted that 1000 millimeters = 1 liters

Therefore, 195 ml to l will be:

= 195 / 1000

= 39/200

Therefore, it is 39/200.

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Answer:

X=-36

Y=-7

Step-by-step explanation:

If 5y-1=x

then you can substitute x into the first equation

x-4y=-8

as we know x=5y-1 then

(5y-1)-4y=-8 is true

5y-4y is just y

so we are left with y-1=-8

add 1 to both sides

y=-7

substitute this into other equation

5(-7)-1=X

-35-1=X

X=-36

Answer:

Below

Step-by-step explanation:

A parbola with zeroes at 0 and 598 would look like this:

  f(x) = a ( x-0)(x-598)      at the midpoint 299   the value is 625

   625 = a (299) (299-598)      shows a = - 625/89401

-625/89401 (x)(x-598)   <======expand as necessary

Answer: Protein receptors - B)

Step-by-step explanation:

Once hormones find a target cell, they bind with specific protein receptors inside or on the surface of the cell and specifically change the cell's activities.

The options that are partial products for 43 × 17 include:

B. 21

E. 400

We want to find the partial products of 43 x 17

Since 43 = 40 + 3

and 17 = 10 + 7

Then

43 x 17 = (40 + 3) x (10 + 7)

We find all the partial products by multiplying one term of the first addition with one term of the second:

43 x 17 = (40 + 3) x (10 + 7)

= (40 x 10) + (40 x 7) + (3 x 10) + (3 x 7)

= 400 + 280 + 30 + 21

The options are B and E.

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The human brain has approx 100 billion neurons on average and many more neuroglia that nourish and protect the neurons.

The places of contact within neurons are known as synapses which is where data is transferred from one cell to the next.

As we know, from the definition of synapses, synapses which is where data is transferred from one cell to the next.

Also, the human brain has approximately 100 billion neurons on average and many more neuroglia that nourish and protect the neurons.

Thus, the human brain has approx 100 billion neurons on average and many more neuroglia that nourish and protect the neurons.

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The rounding up of all the numbers 36,892 81,055 7,908 126,388 to the nearest 10000, 1000 and 100 are as shown below.

To round up a number to the nearest 10000, what we do is to check the thousands digit to decide whether to round up or round down.

To round up a number to the nearest 1000, what we do is to check the hundreds digit to decide whether to round up or round down.

To round up a number to the nearest 100, what we do is to check the tens digit to decide whether to round up or round down.

1) 36,892 to the nearest 10000 is; 40000

81,055 to the nearest 10000 is; 80000

7,908 to the nearest 10000 is; 10000

126,388 to the nearest 10000 is; 130000

2) 36,892 to the nearest 1000 is; 37000

81,055 to the nearest 1000 is; 81000

7,908 to the nearest 1000 is; 10000

126,388 to the nearest 1000 is; 126000

3) 36,892 to the nearest 100 is; 36900

81,055 to the nearest 100 is; 81100

7,908 to the nearest 100 is; 7900

126,388 to the nearest 100 is; 126400

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Answer:

c = 15

Step-by-step explanation:

P = 36; a = 11; b = 10

P = a + b + c

36 = 11 + 10 + c

36 = 21 + c

Subtract 21 from both sides.

15 = c

c = 15

The statement that correctly represents the distance between points E and F is

The distance between points measured as d between two points in the x y z coordinate system is given by

d = √{(x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²}

From the graph point E = (0, 0, 5) and F = (0, 6, 5)

comparing the points to (x, y, x), the points are substituted and it written as

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Answer:

the answer is the second

Step-by-step explanation:

I took the quiz

Answer:

4

Step-by-step explanation:

-3 + 8 + 9 + (-7) + 13 = 20

20/5 = 4

where is the example? What are the binomials?- or do we use any three?

The expression which is equivalent to rm ÷ rn exists rm − n.

A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific rules.

A mathematical expression is a phrase that includes at least two numbers or variables, at least one math operation, and the expression itself. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.

Combining operators, constants, and variables creates an expression. One or more operands, 0 or more operators, and a value can all be part of an expression.

Let the expression be rm ÷ rn

[tex]$=\frac{r m}{r n}=\frac{m}{n}$[/tex]

simplifying the above equation, we get

[tex]$r^m \div r^n$[/tex]

[tex]$=\frac{r^m}{r^n}=r^{m-n}$[/tex]

Therefore, the correct answer is option A. rm − n.

The complete question is:

Which expression is equivalent to rm ÷ rn? (4 points)

A. rm − n

B.rm + n

C. rm ⋅ n

D.rm ÷ n

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It is TRUE to state that w/ a discount factor less than 1, value iteration is guaranteed to converge.

The discount factor ranges from 0 to 1. To represent the importance of a reward R that happens N steps in the future from the current state, multiply it by γⁿ. Consider γ= 0.9 and a reward R = 10 that is three steps ahead of our current condition.

Hence, it is correct to indicate that value iteration is assured to converge if the discount factor 0 < γ < 1.

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Full Question:

For an infinite horizon MDP w/ a finite # of states and actions and w/ a discount factor γ that satisfies 0 < γ < 1, value iteration is guaranteed to converge.

a. true

b. false

The equation is y = 300x + 1,750. And the total cost after 1 hour and 20 hours of work will be $2,050 and $7,750, respectively.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A lawyer charges a proper expense for an underlying gathering and an hourly charge for the entire hours worked after this gathering. She charges $1750 for an underlying gathering and $300 consistently worked.

Let 'x' be the number of hours and 'y' be the total cost. Then the equation is given as,

y = 300x + 1750

The total cost after 1 hour of work will be

y = 300 (1) + 1,750

y = 2,050

The total cost after 20 hours of work will be

y = 300 (20) + 1,750

y = 7,750

The equation is y = 300x + 1,750. And the total cost after 1 hour and 20 hours of work will be $2,050 and $7,750, respectively.

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Applying Side-side-side (SSS), the two-column proof that explains why ∠T ≅ ∠S is shown below.

The side-side-side (SSS) postulate states that two triangles that have all their three corresponding sides equal are definitely congruent triangles.

The two-column proof that shows that ∠T ≅ ∠S is explained below:

Statement                                  Reason                                                  

1. U is the midpoint of ST          1. Given

2. RT ≅ RS                                 2. Given

3. TU ≅ SU                                3. Definition of a midpoint

4. UR ≅ UR                                4. Reflexive property

5. ΔTUR ≅ ΔSUR                      5. Side-side-side (SSS)

6. ∠T ≅ ∠S                                6. CPCTC

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Answer:

[tex]\large\begin{array}{|l|l|}\cline{1-2}\sf Statement&\sf Reason\\\cline{1-2}1.\;\textsf{$U$ is the midpoint of $ST$}&1.\;\sf Given\\\cline{1-2}2.\;RT \cong RS&2.\; \sf Given\\\cline{1-2}3.\;TU \cong SU & 3.\; \sf De\:\!finition\;of\;a\;midpoint\\\cline{1-2}4.\;UR=UR&4.\;\sf Reflexive\;property\\\cline{1-2}5.\; \triangle TUR \cong \triangle SUR&5.\;\sf Side-Side-Side\;(SSS)\\\cline{1-2}6.\;\angle T \cong \angle S&6.\;\sf CPCTC\\\cline{1-2}\end{array}[/tex]

Step-by-step explanation:

Midpoint

The point that is halfway between the endpoints of the line segment.

Reflexive Property

For every number a:

Side-Side-Side (SSS) Congruence Theorem

If all three sides of one triangle are equal to all three corresponding sides of another triangle, then the two triangles are congruent.

Corresponding parts of congruent triangles are congruent (CPCTC)

If two or more triangles are congruent, their corresponding angles and sides are congruent.

[tex]\large\begin{array}{|l|l|}\cline{1-2}\sf Statement&\sf Reason\\\cline{1-2}1.\;\textsf{$U$ is the midpoint of $ST$}&1.\;\sf Given\\\cline{1-2}2.\;RT \cong RS&2.\; \sf Given\\\cline{1-2}3.\;TU \cong SU & 3.\; \sf De\:\!finition\;of\;a\;midpoint\\\cline{1-2}4.\;UR=UR&4.\;\sf Reflexive\;property\\\cline{1-2}5.\; \triangle TUR \cong \triangle SUR&5.\;\sf Side-Side-Side\;(SSS)\\\cline{1-2}6.\;\angle T \cong \angle S&6.\;\sf CPCTC\\\cline{1-2}\end{array}[/tex]

The values of the exponential function are f(1) = 1/12, f(-1) = 12 and f(1/2) = √1/12

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

f(x) = (1/12)^x

Also from the question, we have the following x values

f(1), f(-1) and f(1/2)

This means that x = 1, -1 and 1/2

Substitute x = 1, -1 and 1/2 in the equation f(x) = (1/12)^x

So, we have the following representations

f(1) = (1/12)¹ = 1/12

f(-1) = (1/12)⁻¹ = 12

f(1/2) = (1/12)¹/² = √1/12

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The scenario with the greater speed is scenario 1, then the correct option is C

"Scenario 1 because the slope is 60"

Remember that speed is defined by:

distance = speed*time

On scenario 2 we have the linear equation:

y = 50*x

Where y is distance and x is the time in hours, so the speed is 50 miles per hour.

If we look at the graph, we can see a proportional relationship also of the form y = k*x

Where the slope k is the speed.

The first graphed point is (1, 60), then:

60 = k*1

60/1 = k

So here the speed is 60 miles per hour.

Then the correct option is C, the speed in scenario 1 is greater.

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Answer:

Step-by-step explanation:

The answer is C.

1 minute = 11/2 pounds

a day= 1440 minutes = 11/2 × 1440 = 7920 pounds

The percentage she spends on books from her total edducational expenses is 0.17

What is Percentage?

A percentage is a fraction of a whole represented as a number between 0 and 100. Nothing is zero percent, everything is 100 percent, half of everything is fifty percent. To calculate a percentage, divide the share of the total by the total and multiply by 100.

Solution:

Assuming there are only these two expenses on education,

the total expenses are 1100 + 225 = $1325

amount the student pays on books = $225

Percentage = (225/1325) * 100

Percentage = 16.98% = 17% (approx)

So, the final answer is 0.17

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The number of periods of the function y = sinx are there between -10π < 0 ≤ 6π is 8.

The given trigonometric function is y=sinx.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, the interval is -10π < 0 ≤ 6π

Graph the trigonometric function using the amplitude, period, phase shift, and vertical shift.

Amplitude: 1

Period: 2π

Phase Shift: None

Vertical Shift: None

Plot (0, 0), (π/2, 1), (π, 0), (3π/2, -1) and (2π, 0)

Therefore, the number of periods of the function y = sinx are there between -10π < 0 ≤ 6π is 8.

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Answer:

≈ 404.6666667

Step-by-step explanation:

70 - 8 ÷ 6 + 8 x 42

70 - 1.33333333 + 8 x 42

70 - 1.33333333 + 336

68.6666667 + 336

404.6666667

For the first 3 images.

a) The linear equation is the  one in option A:

y = x

b) The linear equation is the one in option B:

y = (1/2)*x + 3

c) The correct option is C, the slope of scenario 1 is 60

A general linear equation is:

y = a*x + b

So we have a polynomial of degree 1, this means that there can be at most two terms, one that depends of x, and other that is a constant.

From the first list the only linear equation is y = x.

none of the others depend linearly with x.

From the second list the only option that is a linear equation is B.

y = (1/2)*x + 3

Where you can see two terms, the first one depends linearly of x and the second one is a constant.

For the third image.

If you evaluate the equation for scenario 2 in x = 1, you get:

y = 50*1 = 50

So in one hour, you travel 50 miles.

While on scenario 1, on one hour you travel 60 miles.

Then the speed is greater on scenario 1, where the slope is 60, so the correct option is C.

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