The table shows the top running speed for a giraffe and a zebra which animal can run faster?show you work

Answer:

3 and 7/8 gallons remaining

Step-by-step explanation:

You did not give the container options, but hopefully this will help

It will take 50 seconds for the person to travel from one end to the other at the current speed.

We know that the person travels 28 feet in 7 seconds, remember that speed is defined as the quotient between distance and time, then the person's speed is:

s = 28ft/7s = 4ft/s

Now we want to find the time T that it takes for the person to travel the 200 feet of the sidewalk, then we need to solve:

(4ft/s)*T = 200ft

T= 200ft/(4 ft/s) = 50s

It takes 50 seconds.

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By examining the shape and degree of association on the scatter plot, we can gain insights into the nature of the relationship between the variables and make predictions about their behavior in the future.

A scatter plot is a graphical representation of a set of data that shows the relationship between two variables.

The type of association between the two variables can be identified by the shape of the scatter plot. If the points on the plot form a linear pattern, then the association is said to be linear. If the points on the plot form a curved pattern, then the association is said to be nonlinear.

The degree of association between the two variables can be determined by the strength of the correlation coefficient, which is a measure of how closely the points on the scatter plot follow a linear pattern. The correlation coefficient ranges from -1 to 1, where a correlation coefficient of 1 indicates a perfect positive linear association, a correlation coefficient of -1 indicates a perfect negative linear association, and a correlation coefficient of 0 indicates no association between the two variables.

In this scenario, if the scatter plot shows a linear pattern and the correlation coefficient is positive, it means that there is a positive association between the amount of time the player spent practicing and the number of points he scored in the game.

On the other hand, if the correlation coefficient is negative, it means that there is a negative association between the two variables, which implies that the more time the player spent practicing, the lower the number of points he scored in the game.

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If on the following Tuesday, Terry fills out scale again and receives a score of 28 , then Terry's scores on the Self-Monitoring Scale do not appear to be Reliable .

The Terry's scores on the Self-Monitoring Scale do not appear to be reliable, because there is a significant difference between his score on Friday and his score on the following Tuesday.

The Reliability is defined as the consistency of measurement over time or across different conditions.

In this case, if Terry's scores on the Self-Monitoring Scale were reliable, we would expect them to be consistent or stable over time.

However, his score on Tuesday is significantly lower than his score on Friday suggests that there may be some inconsistency in his responses .

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By using a system of equations of two variables we concluded that the first number was 6

Let the numbers be x and y and their sum gives z

The equation for the sum of 2 numbers:

                                             x + y = z    -(1)

We know, z = 30 and y = 4 times x = 4x

Putting values of y and z in equation (1), we get

                                             x + 4x = 30

Solving for x, we get

                                                  5x = 30

                                         x = 30/5 = 6

To get the value of y, put the value of x in y = 4x and we get

                                          y = 4 x 6 = 24

So the real equation was

                                              6 + 24 = 30

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Answer:

the iqr is the best measure of variability

The IQR is the best measure of variability, and it equals 4.

Option C is the correct answer.

An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.

W can find the values of the upper and lower quartile and median from a box plot.

The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.

The formula used is Upper quartile - Lower quartile.

We have,

The appropriate measure of variability for the data is the interquartile range (IQR), which is the range of the middle 50% of the data.

In other words, it is the difference between the third quartile (Q3) and the first quartile (Q1).

From the box plot, we can see that the box extends from 17 to 21 on the number line, with a line at 19 inside the box.

This means that Q1 is 17 and Q3 is 21.

The IQR is:

IQR = Q3 - Q1 = 21 - 17 = 4

Thus,

The IQR is the best measure of variability, and it equals 4.

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Answer: No

Step-by-step explanation:

Valid only for numbers less than 40.

P(40) = 412 which is not a prime number

The requried equivalent to Mike’s portion of the total number of cards is 16%. Option B is correct.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
From the given data,
Name Number of Cards

Chris      7

Mike       8

Sally       10

Susan     25
Total cards = 50

Now equivalent to Mike’s portion of the total number of cards is given as ,
= Mike cards/total card
= 8 / 50 × 100%
= 4/25×400%
= 16%

Thus, the requried equivalent to Mike’s portion of the total number of cards is 16%. Option B is correct.

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The algebraic expression is h - 21 = 62

If we let "h" be Holly's original height,

The phrase "Holly's height decreased by 21 is 62" can be translated into an algebraic expression as:

h - 21 = 62

This equation represents the relationship between Holly's original height and her current height, after a decrease of 21 units.

We can solve for h by adding 21 to both sides of the equation:

h - 21 + 21 = 62 + 21

h = 83

Hence, Holly's original height was 83 units.

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The value of the right triangle cos d = 15/17 and cos c = 8/17.

Simply put, trigonometric functions—also referred to as circular functions—are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.

Given that, the value of tan c = 15/8 and the value of sin d = 8/17.

From the trigonometric functions we can conclude that:

Opposite side to c = 15

Adjacent side to c = 8

Hypotenuse = 17

Opposite side to d = 8

Adjacent side to d = 15

The values of cos d is:

cos d = Adjacent side to d / Hypotenuse = 15/17

cos c = Adjacent side to c / Hypotenuse = 8/17

Hence the value of the right triangle cos d = 15/17 and cos c = 8/17.

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The solution of the quadratic equation for y is given as follows:

y = 0.17 and y = 1.69.

The quadratic equation for this problem is defined as follows:

7y² - 13y + 2 = 0.

The coefficients are given as follows:

a = 7, b = -13 and c = 2.

Hence the discriminant is of:

D = (-13)² - 4 x 7 x 2

D = 113.

The first root is of:

y = (13 + sqrt(113))/14

y = 1.69.

The second root is of:

y = (13 - sqrt(113))/14

y = 0.17.

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The angle corresponding to each other of the different triangles are equal. The correct option is D.

"Similar triangles are triangles that have the same shape but differ in size. Similar objects include all equilateral triangles and squares with any side length. In other words, if two triangles are similar, their corresponding angles and sides are congruent and in equal proportion ".

Here given, ΔJGR is similar to a triangle ΔMST

So, from the definition of a similar triangle,

angle J ≅ angle M

angle G ≅ angle S

angle R ≅ angle T

Hence, option D is correct.

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The cost of 600 copies is  $90.10

The cost of 900 copies is $137.80.

The equation that expresses cost is y = 1.06 x ($10 + $15x)

The equation that represents the information in the question is:

Total cost = 1 + sales tax x [cost of the first 100 copies + (x x cost of every additional 100 copies)]

y = 1.06 x ($10 + $15x)

Cost of 600 copies:

x = (600 - 100) / 100 = 500 / 100 = 5

y = (1 + 6/100) x [$10 + (5 x $15)]

y = 1.06 x [$10 + $75)

y = 1.06 x $85

y = $90.10

Cost of 900 copies:

x = (900 - 100) / 100 = 800 / 100 = 8

y = (1 + 6/100) x [$10 + (8 x $15)]

y = 1.06 x [$10 + $120)

y = 1.06 x $130

y = $137.80

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After solving the given expression 7/3a - 8/5 + 4/15a, the resultant answer is fractions is 39/15a - 8/5.

A fraction in mathematics is a number that is stated as a percentage, such as 1/2 or 2/3.

The number on top denotes the component of the unit under consideration, while the number at the bottom indicates the total number of parts that make up one unit.

An element of a whole is a fraction.

The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction.

A fraction appears in the numerator or denominator of a complex fraction.

So, we have the operations:

7/3a - 8/5 + 4/15a

Now, solve as follows:

7/3a - 8/5 + 4/15a

7/3a + 4/15a - 8/5

7*5 + 4 /15a - 8/5

39/15a - 8/5

Therefore, after solving the given expression 7/3a - 8/5 + 4/15a, the resultant answer is fractions is 39/15a - 8/5.

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You slept for 9 hours in those three days, calculated by multiplying 12.5% of the total hours (72) by 72, which equals 9.

To calculate the number of hours slept in three days, we first need to determine how many hours there are in three days.

As given, 1 day has 24 hours. So, three days will have 3 x 24 = 72 hours.

Now, we are told that you slept for 12.5% of those 72 hours. To calculate this, we multiply the percentage by the total number of hours:

12.5% x 72 hours = (12.5/100) x 72 = 0.125 x 72 = 9 hours

Therefore, you slept for 9 hours in those three days.

Percentage is a way to express a proportion or ratio as a fraction of 100. The sign "%" is widely used to represent it. For example, if you had 20 apples and you ate 5 of them, you would have consumed 25% of the apples (5 out of 20).

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The solution to the equation is (a) x = ln(7/5) - 2

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

4 + 5e^(x + 2) = 11

Evaluate the like terms in the equation

So, we have the following representation

5e^(x + 2) = 7

Divide through the equation by 5

This gives

e^(x + 2) = 7/5

Take the natural logarithm of both sides

x + 2 = ln(7/5)

So, we have

x = ln(7/5) - 2

Hence, the solution is x = ln(7/5) - 2

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Answer:

Step-by-step explanation:

multiply all numbers together

2 x 6 x 3 = 36

a) The probability that the second person chosen is also a boy is; 13/28

b) The probability that both students chosen are girls is; 5/18

The parameters given in the question are;

Total number of students in the class = 28 students

Number of boys in class = 13 students

Number of girls = 28 - 13 = 15 students

a) Probability of the first student being selected as a boy is;

P(First is boy) = 13/28

b) The probability that both students chosen are girls is;

P(both girls) = (15/28) * (14/27) = 5/18

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The x has a value of 36. The line's two points are (-12, 1) and (36, 7).

The slope of a line frequently represents the steepness and direction of the line. The slope of a straight line between the two locations, (x1,y1) and (x2,y2), can be easily determined by calculating the difference between their coordinates.

We can apply the slope formula to determine the value of x:

m is the slope and (x1, y1) and (x2, y2) are two points on the line, with m = (y2 - y1) / (x2 - x1).

We are given the point (x1, y1) = (-12, 1) and the slope m = 1/8. We are also given the y-coordinate of the other point as y2 = 7.

Plugging in the known values, we get:

1/8 = (7 - 1) / (x - (-12))

Simplifying and solving for x, we get:

1/8 = 6 / (x + 12)

1 = 48 / (x + 12)

x + 12 = 48

x = 36

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Answer:

B. (-7, -1)

C. (5, 12)

Step-by-step explanation:

A function can only have one output for a specific input

In math terminology that means if y = f(x) is a function of x then the mapping from x to y is 1:1

Or,

For a specific value of x, there can be one and only one value for y

This is often referred to as a vertical line test; if a vertical line parallel to the y-axis is drawn for any x value it should intersect the function graph at one and only one point

g(x) includes all the ordered pairs of f(x) therefore the ordered pairs of g(x) are:
{ ( -18, -31), (-9, -23), (4, 2), (11, 5), (14, 12) }

Looking at the answer choices:
A. (-9, 11) will violate the 1:1 correspondence between x and y since (-9, -23) is already a pair

B. (-7, -1) is OK. There is no other entry with x = -7

C. (5, 12) is OK. There is no other entry with x = 5

D. (4, 15) will violate; there is already an entry for x = 4: (4, 2)

E.  (14,20). This will also violate the properties of a function since there exists an entry for x = 14, namely (14, 20)

The values of x, y and z are;

x. x = 60° y = 55°

xi. x = 68° y = 56° z = 56°

xiii. x = 40° y = 50°

xiv. x = 40° y = 50°

A triangle is a 3-sided polygon that has three edges and three vertices. The most important property of a triangle is that the sum of the internal angles of a triangle that always equals 180 degrees. This property is called angle sum property of triangle.

x. x = 60° (corresponding angles are equal)

y + 65° + 60° = 180° (Sum of angles in a triangle equals 180°)

y + 125° = 180°

y = 180° - 125°

y = 55°

xi. y = 56° (corresponding angles are equal)

y = z = 56° (angles in equal sides of a triangle are equal)

x + 56° + 56° = 180° (Sum of angles in a triangle equals 180°)

x + 112° = 180°

x = 180° - 112°

x = 68°

xiii. x + 140° = 180° (sum of angles on a straight line equals 180°)

x = 180° - 140°

x = 40°

y + 90° + 40° = 180° (sum of angles in a triangle equals 180°)

y + 130° = 180°

y = 180° - 130°

y = 50°

xiv. y + 130° = 180° (sum of angles on a straight line equals 180°)

y = 180° - 130°

y = 50°

x + 90° + 50° = 180° (sum of angles in a triangle equals 180°)

x + 140° = 180°

x = 180° - 140°

x = 40°

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There are 840 ways for the person to get 6 fives, 3 ones, and 1 two in 10 rolls of a six-sided die.

To calculate the number of ways to roll 6 fives, 3 ones, and 1 two in 10 rolls of a six-sided die, we can use the formula for combinations with repetition.

The number of ways to choose 6 rolls to be fives out of 10 is given by the combination formula:

C(10, 6) = 10! / (6! * (10 - 6)!) = 210

Similarly, the number of ways to choose 3 rolls to be ones out of the remaining 4 rolls is:

C(4, 3) = 4! / (3! * (4 - 3)!) = 4

Finally, there is only one way to choose the remaining roll to be a two.

Therefore, the total number of ways to roll 6 fives, 3 ones, and 1 two in 10 rolls of a six-sided die is:

210 * 4 * 1 = 840.

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Answer:

2

Step-by-step explanation:

the prime factorization of the number 90 is

2, 3, 3, 5

On solving the provided question we cans ay that The side of the square is w/2, then its area is: A = (w/2)² = w²/4

A square is an equilateral quadrilateral with four equal sides and four equal angles according to Euclidean geometry. It is also known as a rectangle with two neighboring sides that have the same length. Having all four equal sides and all four equal angles, a square is an equilateral quadrilateral. 90 degree or straight angles are square angles. In addition, the square's diagonals are equally spaced and split at a 90-degree angle. a neighboring rectangle with two equal sides. a quadrilateral with four right angles and four sides of equal length. a parallelogram having two adjacent, equal sides that form a right angle. straight-sided rhombus.

The side of the square is w/2, then its area is:

A = (w/2)² = w²/4

The darkened region represents the difference between the square's and rectangle's areas:

[tex]14w - w^2/4 = 84\\56w - w^2 = 336\\w^2 - 56w + 336 = 0[/tex]

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The above expression in terms of 8n can be written as 8(0).

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression.

We are given a an expression (8-8)(8³)

Now the first bracket after simplifying we get an answer is 0.

Hence the expression can be given in the form of 8(n) as 8(0)

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Answer:

16 visitors per hour

Step-by-step explanation:

96/6 = 16

Answer:

alternate exterior angles

Step-by-step explanation:

congruent alternete exterior angles

Answer:

2/3 cups

Step-by-step explanation:

The recipe calls for 2/4 cup of onion and 1/6 cup of celery. To find the total, we need to add the two fractions together; the amount of onions(2/4 cup or 1/2 a cup if simplified), and the amount of celery(1/6). To do this, we need to find a common denominator. We can do this buy finding a common multiple between 2 and 6.

Multiples of 2: 2, 4, 6, 8, 10, 12...

Multiples of 6: 6, 12, 18, 24, 30...

A common multiple is 6. 1/2x3/3=3/6 <--- an equivalent fraction of 1/2

Now both fractions have the same denominator:

Onions: 3/6

Celery: 1/6

3/6+1/6 = 4/6

4/6 simplifies to 2/3.

The total amount of celery and onion need for the soup is 2/3 cup

Answer:

2/3 cups

Step-by-step explanation: