Amy scores 7760 points on a new game, to the nearest 10.
Bill scores 7700 points to the nearest 100.
Who did better?
Amy
Bill
Can't tell

Answer:

Thery have 30 bikes in total. 37% red bikes. 40% silver. 10% blue. 13% orange.

Step-by-step explanation:

relational algebra is a sufficient tool for manipulating data in a distributed system because it provides a uniform and consistent way to access and manipulate data.

Regardless of where it is stored in the system, and because it is a declarative language that abstracts away implementation details, making it easier to maintain and evolve the system.

Relational algebra is a powerful mathematical tool used to manipulate data in a relational database. It provides a way to perform operations on data in a structured and organized manner.

In a distributed system, where multiple nodes store and process data, relational algebra is still sufficient because it provides a uniform and consistent way to access and manipulate data across the entire system.

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Answer:

4/12

Step-by-step explanation:

Answer:

  t(n) = 1 +6(n -1)

Step-by-step explanation:

The general term of an arithmetic sequence with first term t(1) and common difference d is given by the formula ...

  t(n) = t(1) +d(n -1)

__

Using the two given values  of n and t(n), we can find the unknown parameters.

  13 = t(3) = t(1) +d(3 -1) = t(1) +2d

  67 = t(12) = t(1) +d(12 -1) = t(1) +11d

Subtracting the first equation from the second, we get ...

  (67) -(13) = (t(1) +11d) -(t(1) +2d)

  54 = 9d . . . . simplify

  6 = d . . . . . . divide by 9

Substituting into the first equation gives ...

  13 = t(1) +2(6)

  1 = t(1) . . . . . . . . subtract 12

Using the found values in the equation for the sequence gives ...

  t(n) = 1 +6(n -1)

Answer:

5 miles per hour

Step-by-step explanation:

Let the speed of Kelly is \(v_1\) miles per hour and speed of Raul is v₂ miles per hour.

Since, speed = \(\frac{\text{Distance}}{\text{Time}}\)

Kelly took 135 minutes to cover 90 miles from New York to Philadelphia.

∵ 1 minute = \(\frac{1}{60}\) hours

∴ 135 minutes = \(\frac{135}{60}\) = \(\frac{9}{4}\) hours

v₁ = \(\frac{90}{\frac{9}{4}}\)

   = \(90\times \frac{4}{9}\)

   = 40 miles per hour

Raul took 153 minutes to cover the same distance as Kelly,

∵ 1 minute = \(\frac{1}{60}\) hours

∴ 153 minutes = \(\frac{153}{60}\) = \(\frac{51}{20}\) hours

v₂ = \(\frac{90}{\frac{51}{20}}\)

    \(=90\times \frac{20}{51}\)                        

    = 35.29

    ≈ 35.3 miles per hours

v₁ - v₂ = 40 - 35.3

         = 4.7

         ≈ 5.0 miles per hours

Therefore, Kelly is 5 miles per hours faster than Raul.     

According to the given figure, minor arc RS, diameter RT, chord PS, central angle QTR, major arc QRS, semicircle QRP, and radius RT

What is a major and minor arc?

An arc is a portion of the circumference of a circle. It is a curve that connects two points on the circumference.  A major arc is an arc that measures more than 180 degrees, which is greater than a semi-circle. It covers more than half of the circumference of the circle. A minor arc is an arc that measures less than 180 degrees, which is less than a semi-circle. It covers less than half of the circumference of the circle.

If the angle formed by the two points and the center is less than 180 degrees, then it is a minor arc. Conversely, if the angle formed is greater than 180 degrees, then it is a major arc.

In summary, a major arc covers more than half of the circumference of the circle and measures more than 180 degrees. A minor arc covers less than half of the circumference of the circle and measures less than 180 degrees.

1. Minor arc RS

2. Diameter RT

3. Chord PS

4. Central angle QTR

5. Major arc QRS

6. Semicircle QRP

7. Radius RT

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Answer:

Step-by-step explanation:

You are given several lists from which to choose (share them, please) and in each case you must decide whether or not the numbers are in ordere from least to greatest.

Using 37/6, -5.1717, √33, -26/5 as an example (since it is only one of several llsts), we convert all the numbers into mixed decimal fractions:

37/6 = +6.17

-5.172

5.74

-5.3

This particular list has NOT been arranged in order from least to greatest.

You must now perform the same test on the other lists and then choose the list whose numbers are shown in order from least to greatest.

The list that shows these numbers in order from least to greatest is to be considered as the -5.17, 26/5, √33, 37/6.

Since

If we divide 37 by 6 so it comes 6.1666

The next value is -5.1717

The root of 33 is 5.744

And, the value of  -26/5 is 5.2

So based on this, we can say that The list that shows these numbers in order from least to greatest is to be considered as the -5.17, 26/5, √33, 37/6.

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From the graph we see that x takes the values in blue, those values are:

• x > 4,

• x < -4.

Now, the function absolute value |x| is equal, by definition, to:

• x if x > 0,

• -x if x < 0.

Using the absolute value, we represent the values of the graph with the following inequality:

Answer

Answer:

9

Step-by-step explanation:

3 to the 2nd power would look like this if you typed it out: 3^2. The ^ symbol refers to an exponent.

3^2

= 3 * 3

= 9

:3))

Answer:

the answer would be 9

Step-by-step explanation:

3² would be expressed as a multiplication like this

3x3

you would get 9

So, your answer is 9.

Answer:

The answer choices are attached.

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

Answer: 4

Step-by-step explanation:

By the exterior angle theorem,

\(11x+32x=172\\\\43x=172\\\\x=\boxed{4}\)

Answer:

Distance = 6.7 units

Step-by-step explanation:

Distance formula: \(d = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\)

\(d = \sqrt{(8.5-8.5)^{2}+(2.2-8.9)^{2}} = \sqrt{(-6.7)^{2}} = 6.7\)

Note that distance is always positive

Isaac has a 1/40 chance of winning the raffle, or a 2.5% chance. This indicates that he has a 2.5% probability of having his ticket chosen out of the 40 tickets that were sold.

Isaac has a 1/40 chance of winning the raffle, or a 2.5% chance. This indicates that he has a 2.5% probability of having his ticket chosen out of the 40 tickets that were sold. This is because there is only one raffle winner and it is impossible to predict which ticket will be picked.

It's also crucial to remember that his odds of winning are entirely independent of those of any other ticket holder; nobody else's ticket will affect the outcome of the raffle. As a result, Isaac has the same chance of winning as any other ticket holder. It's also vital to remember that regardless of how many tickets are sold, the likelihood of winning stays the same. Therefore, regardless of how many raffle tickets are sold, there is a 2.5% chance of winning.

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The range of the function g(x) is [300, ∞)

In this question, we have been given that we have deposited $300 into a savings account that earns interest annually.

The function g(x) = 300(1.04)^x used to find the amount of money in the savings account, g(x), after x years.

We need to find the range of the function.

Since a savings account earns interest annually, x can have take values from 0 to infinity.

For x = 0 year,

g(0) = 300(1.04)^0

g = 300 * 1

g = 300

For x tends to ∞, the value of function would be ∞

Therefore, the range of the function g(x) is [300, ∞)

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Answer:

5+5x-4y

Step-by-step explanation:

The dimensions of the box are 12 inches by 2 inches by 4 inches.

Let's use variables to represent the dimensions of the box:

Let h be the height of the box (in inches).

Then, the length of the box is 8 inches more than the height, so it is h + 8.

The width of the box is 2 inches less than the height, so it is h - 2.

The volume of the box is given as 96 cubic inches, so we can set up an equation:

Volume = Length × Width × Height

96 = (h + 8) × (h - 2) × h

h = 4

Height: h = 4 inches

Length: h + 8 = 12 inches

Width: h - 2 = 2 inches

Therefore, the dimensions of the box are 12 inches by 2 inches by 4 inches.

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Answer:

The required answer is 100 .

Step-by-step explanation:

Given function to us is ,

⇒ f(n) = 4n + 2 . And we need to find (f • f) (-3)

So , first let's find f•f , which will be ,

⇒ (f • f) = (4n + 2)(4n + 2)

⇒ (f • f) = 4n ( 4n + 2 ) +2 ( 4n + 2)

⇒ (f • f) = 16n² + 8n + 8n + 4

⇒ (f • f) = 16n² + 16n + 4

====================================

Now we need to find (f • f)(-3) . So on substituting f = (-3) , we have :-

⇒ (f • f)(n) = 16n² + 16n + 4

⇒ (f • f)(-3) = 16*(-3)² + 16*(-3) + 4

⇒ (f • f) (-3) = 16* 9 - 48 + 4

⇒ (f • f)(-3) = 144 - 44

⇒ ( f • f) (-3) = 100

The measure of the segment DF, DE, FG, FH, GH and EH are 3, 8/3, 1. 2 1/2, 1 1/2 and 29/6 respectively

A line is the shortest distance between two points. From the given number line;

DF = -1-(-4)

DF = -1 + 4

DF = 3

For the segment DE

DE = -1 1/3 -(-4)

DE = -4/3 + 4

DE = 8/3

For the segment FG

FG =  2 - 1

FG = 1

For the segment FH

FH = 3 1/2 - 2

FH = 2 1/2

For the segment GH

GH = 3 1/2 - 2

GH = 1 1/2

For the segment EH

EH =3 1/2 - (-1 1/3)

EH = 7/2 + 4/3

EH = 21+8/6

EH =29/6

Hence the measure of the segment DF, DE, FG, FH, GH and EH are 3, 8/3, 1. 2 1/2, 1 1/2 and 29/6 respectively

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Based on the calculations,  it would not be very unusual to have more than 153 dentists recommend mintyfresh toothpaste.

The proportion of dentists who recommend mintyfresh toothpaste is 7/8 = 0.875. The expected number of dentists who recommend mintyfresh toothpaste in a sample of 170 is 170 x 0.875 = 148.75. The standard deviation of the sampling distribution is √(np(1-p)) = √(170 x 0.875 x 0.125) = 4.71.

To find the probability of having more than 153 dentists recommend mintyfresh toothpaste, we calculate the z-score as (153 - 148.75) / 4.71 = 0.91. Using a standard normal distribution table, we find that the probability of having a z-score greater than 0.91 is approximately 0.1826, or 18.26%.

Therefore, it would not be very unusual to have more than 153 dentists recommend mintyfresh toothpaste.

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Answer:

9x−12

Step-by-step explanation:

Answer:

\( = 9x - 12\)

Step-by-step explanation:

\(15x - 3(2x + 4) \\ 15x - 6x - 12 \\ = 9x - 12\)

"Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.

Statistics is the art and science of learning from data. It involves collecting, organizing, analyzing, interpreting, and presenting data to gain insights and make informed decisions. In the 4th edition of the book "Statistics: The Art and Science of Learning from Data," you can expect to find a comprehensive exploration of these topics.

This edition may cover important concepts such as descriptive statistics, which involve summarizing and displaying data using measures like mean, median, and standard deviation. It may also delve into inferential statistics, which involve making inferences and drawing conclusions about a population based on a sample.

Additionally, the book may discuss various statistical techniques such as hypothesis testing, regression analysis, and analysis of variance (ANOVA). It may also provide real-world examples and case studies to illustrate the application of statistical methods.

When using information from the book, it is important to properly cite and reference it to avoid plagiarism. Be sure to consult the specific edition and follow the guidelines provided by your instructor or institution.

In summary, "Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.

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The solutions for the equation cos(2t) = √3/2 within the interval −π ≤ t ≤ π/2 are t = π/6, -π/6, and 2π/3.

For the equation cos(2t) = √3/2, we need to find the values of t that satisfy the equation within the given interval −π ≤ t ≤ π/2.

Since cos(π/3) = √3/2, we can write the equation as:

2t = π/3 + 2kπ or 2t = -π/3 + 2kπ,

where k is an integer.

Solving for t, we divide both sides by 2:

t = π/6 + kπ or t = -π/6 + kπ.

Within the given interval, the valid solutions for t are:

t = π/6, -π/6, π/6 + π/2 = 2π/3.

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Answer:

0

Step-by-step explanation:

x+12 = 9+2x +3

x = 12-12

x = 0

Answer: x=3

Step-by-step explanation: 2x +4)° 2x-9)°​= 4x  2 +8x−9=3

 Pull out like factors :

  2x + 4  =   2 • (x + 2) (4 • (x + 2) • x) -  9

4x • (x + 2) -  9

Factoring  4x2+8x-9  

The first term is,  4x2  its coefficient is  4 .

The middle term is,  +8x  its coefficient is  8 .

The last term, "the constant", is  -9  

Step-1 : Multiply the coefficient of the first term by the constant   4 • -9 = -36  

Step-2 : Find two factors of  -36  whose sum equals the coefficient of the middle term, which is   8 .

     -36    +    1    =    -35  

     -18    +    2    =    -16  

     -12    +    3    =    -9  

     -9    +    4    =    -5  

     -6    +    6    =    0  

     -4    +    9    =    5  

     -3    +    12    =    9  

     -2    +    18    =    16  

     -1    +    36    =    35

x=3

The value of x for the given triangle is 37°.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.

The sum of all interior angles of a triangle is 180°.

So,

x + 2x +4 + 2x-9 = 180°

5x - 5 = 180°

x = 37°

Hence "The value of x for the given triangle is 37°".

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Given question is missing an image attached below;

The acceleration of the mass at time t=1 is approximately -19.42 inches/second^2.

To find the velocity and acceleration of the mass attached to a vertical spring at time t=1, we need to differentiate the position function with respect to time.

First, we can find the velocity function v(t) by taking the derivative of the position function s(t) with respect to time t:

v(t) = s'(t) = 5cos(2t) * 2 = 10cos(2t)

Plugging in t=1, we get:

v(1) = 10cos(2) ≈ -3.42 inches/second

Therefore, the velocity of the mass at time t=1 is approximately -3.42 inches/second.

Next, we can find the acceleration function a(t) by taking the derivative of the velocity function v(t) with respect to time t:

a(t) = v'(t) = -20sin(2t)

Plugging in t=1, we get:

a(1) = -20sin(2) ≈ -19.42 inches/second^2

Therefore, the acceleration of the mass at time t=1 is approximately -19.42 inches/second^2.

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Answer:

$69 is the total cost of the bill

Step-by-step explanation:

60(1.15)

60 is the cost of the bill, and the 1.15 is the added tax plus the previous $60.

Put 60(1.15) into a calculator and

$69

Therefore, the initial number of party favor bags Razi had to fill is 20.

To determine the initial number of party favor bags Razi had to fill, we need to analyze the relationship between the time and the number of bags remaining.

Looking at the table, we can observe that the number of bags remaining decreases by 4 for every additional minute of work. This suggests a constant rate of filling the bags.

From the given data, we can see that at the starting time (4 minutes), Razi had 36 bags remaining. This implies that for each minute of work, 4 bags are filled.

To calculate the initial number of bags, we can subtract the number of bags filled in 4 minutes (4 x 4 = 16) from the number of bags remaining initially (36).

36 - 16 = 20

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Answer:

7 years

Step-by-step explanation:

Given :

The Simple Interest earned, I = $ 6720

Rate of interest, r = 8% per annum

Principal amount, P  = $12,000

We known that :

\($I = \frac{P \times T \times r}{100}$\)

Here t is the number of years of investment.

Therefore,

\($t= \frac{I \times 100}{p \times r}$\)

\($t= \frac{6720 \times 100}{12000 \times 8}$\)

t = 7

So, the sum was invested for 7 years.