A die has been rolled 120 times and the results recorded in the table opposite.



Complete the relative frequency column



Do you think this dice is fair? Give a reason for your answer


Number

Frequency

Relative frequency

1

10



2

28



3

16



4

34



5

16



6

16

The multiplication 3/4×8/9 can be used to address the problem in response (B). which is the correct answer that would be an option (B).

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

As per option (B),

Jada rode her bike for 3/4 mile. Sarah rode her bike 8/9 the distance that Jada rode her bike.

Sarah rides her bike = Sarah rode (8/9) of the (3/4) that Jada rode.

Sarah rides her bike = 3/4 × 8/9

Therefore, this problem can be solved by performing the above multiplication.

Hence, the correct answer would be an option (B).

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Answer:

56 different ways

Step-by-step explanation:

This is a combination question since it deals with selection. For example, if n objects is to be selected from a pool of r objects, this can be done in nCr different ways.

nCr = n!/(n-r)!r!

According to the question, If the police have 8 ​suspects, the different number of ways 5 can be selected for a line up is expressed as 8C5

8C5 = 8!/(8-5)!5!

8C5 = 8!/(3!)!5!

8C5 = 8*7*6*5!/3*2*5!

8C5 = 8*7*6/3*2

8C5 = 8*7

8C5 = 56 different ways

Hence, the selection of picking 5 for a line up out of 8 suspects can be done in 56 different ways.

Answer:

%88.88... and on and on

Formula Nonsense: percentage = b/l then *100 add % sign

so P= 32/36 so 0.888....*100= 88.88... so she made 88%

Answer:

63*

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

Step-by-step explanation:

please explain il answer in comment

Answer: 5/2

Step-by-step explanation:

slope equation: (y2-y1)/(x2-x1)

13-3/5-1 = 10/4 or 5/2

Answer:

2.5

Step-by-step explanation:

Gradient (slope) =

\(m = \frac{y2 - y1}{x2 - x1} = \frac{13 - 3}{5 - 1} = \frac{10}{4} = 2 \frac{1}{2} \)

Answer:

Step-by-step explanation:

(414/575)100 %

(.72)100 %

72 %

I'm not sure what that " x 2 " means.

If it means 2x, then f(-3) = -6 .

If it means x-squared, then f(-3) = 9 .

"97.72% of the female students have scores above," seems to be a misinterpretation as the correct statement is that approximately 99.72% of the female students have scores between the lower and upper limits

To calculate the scores that are three standard deviations above and below the mean, we use the formula:

Lower limit = Mean - (Standard Deviation * 3)

Upper limit = Mean + (Standard Deviation * 3)

Given:

Mean = 269

Standard Deviation = 33

Using the formula, we can calculate the limits:

Lower limit = 269 - (33 * 3) = 269 - 99 = 170

Upper limit = 269 + (33 * 3) = 269 + 99 = 368

Therefore, the lower limit is 170 and the upper limit is 368.

To calculate the probability that a female student will have a score between these limits, we need to find the area under the normal distribution curve between the lower and upper limits. This can be calculated using a standard normal distribution table or calculator.

Since the distribution is assumed to be normal, approximately 99.72% of the scores will fall within three standard deviations from the mean. Therefore, the probability that a female student will have a score between these limits is approximately 99.72%.

For a score of 302, which is above the mean of 269, we can calculate the percentage of female students with scores below 302:

Percentage = (1 - Probability) * 100

= (1 - 0.9972) * 100

= 0.0028 * 100

= 0.28%

Therefore, approximately 0.28% of the female students have scores below 302.

It's important to note that the value mentioned, "97.72% of the female students have scores above," seems to be a misinterpretation as the correct statement is that approximately 99.72% of the female students have scores between the lower and upper limits

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The graph of the function y = 5|x - 4| is added as an attachment

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

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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The correct answer is B. The spread of the data distribution for Lake Mockingbird is about 40% greater than the spread for Lake Warbler.

The statement that is NOT true about the data is B. The distribution for Lake Mockingbird shows a center that is 3 inches greater than the center of the distribution for Lake Warbler. This statement cannot be determined from the given information. The data distributions for both lakes appear to be skewed right, not skewed left, since the longer tail of the distribution is on the right-hand side of the graph. The given graphs show the amount of annual rainfall, in inches, for Lake Warbler and Lake Mockingbird for a period of 10 years. To describe the spreads of the data distributions for both lakes, we can compare their range or interquartile range. Looking at the graphs, we can see that Lake Mockingbird has a wider spread of data points than Lake Warbler. The maximum rainfall for Lake Mockingbird is approximately 30 inches, while for Lake Warbler it is approximately 24 inches. Therefore, the correct answer to the first question is B. Regarding the second question, statement B cannot be determined from the given information, as the centers of the distributions are not explicitly provided in the graphs. Therefore, the correct answer is B. Finally, it appears that both data distributions are skewed right, which means that there are more data points with low rainfall and fewer data points with high rainfall. This is evident from the graphs, which show a longer tail of the distribution on the right-hand side

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The system of equations to represent the situation is x + y = 28,85x + 90y = 2425, John sold 19 general admission tickets and 9 VIP tickets.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We are given that;

Price of general ticket= $90

Number of tickets sold=28

Total price= $2425

Now,

Let x be the number of general admission tickets sold.

Let y be the number of VIP tickets sold.

From the problem, we know:

x + y = 28 (the total number of tickets sold is 28)

85x + 90y = 2425 (the total revenue from ticket sales is $2425)

We can use the first equation to solve for one of the variables in terms of the other:

y = 28 - x

Substituting this into the second equation:

85x + 90(28 - x) = 2425

Expanding and simplifying:

85x + 2520 - 90x = 2425

-5x = -95

x = 19

y = 28 - 19 = 9

Therefore, the system of equations will be x + y = 28,85x + 90y = 2425 and the solution is 19,9.

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Answer:

(3,0)

Step-by-step explanation:

I hope this helps. I think this is right.

Answer:

3 is correct answer

Step-by-step explanation:

root 2 and pi are irrational numbers

The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

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Answer:

EFB

Step-by-step explanation:

E,F and B I believe

Answer:

Step-by-step explanation:

Its 4.51

Answer:

Therefore, the angle ∠CDA is 58°.

Step-by-step explanation:

∠CDA = 58°

In the given figure, let's consider the angle ∠CDA as x.

Since AB is the diameter of the circle, we know that the angle subtended by any diameter at any point on the circumference is always 90°. Therefore, ∠CAB = 90°.

In triangle CAD, the sum of angles is 180°. So, we have:

∠CAD + ∠CDA + ∠CAB = 180°

Substituting the known values:

32° + x + 90° = 180°

Combining like terms:

x + 122° = 180°

Subtracting 122° from both sides:

x = 180° - 122°

x = 58°

The transformation represents a reflection over the y = × line.

A. (x, y) → (-x, y)

A reflection over the y-axis is a transformation that flips a point or shape across the vertical line y = 0.

This means that points on the right side of the y-axis will be reflected to the left side, and vice versa.

Let's examine each option to determine which one represents a reflection over the y-axis.

A. (x, y) → (-x, y):

This transformation reflects the point across the y-axis.

For example, if we have a point (3, 2), after applying this transformation, it becomes (-3, 2).

This represents a reflection over the y-axis.

B. (x, y) → (-x, -y):

This transformation not only reflects the point across the y-axis but also flips it vertically.

For example, if we have a point (3, 2), after applying this transformation, it becomes (-3, -2).

This represents a reflection over the y-axis.

C. (x, y) → (y, x):

This transformation swaps the x and y coordinates of a point, which does not represent a reflection over the y-axis.

Instead, it represents a 90-degree rotation of the point.

D. (x, y) → (y, -x):

This transformation swaps the x and y coordinates of a point and negates the new x-coordinate.

It does not represent a reflection over the y-axis.

Instead, it represents a 90-degree rotation of the point in the counterclockwise direction.

Based on the explanations above, both options A and B represent a reflection over the y-axis.

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Answer:

Step-by-step explanation:

58 ft (1/10 inch/ft) = 5.8 inch

Answer:

The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.

Answer:

R5096÷98people

=R52 each

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

Brian is constructing figures inscribed in circle C.

Equilateral triangle MNQ inscribed in circle C:

This option is possible since the points M, N, and Q are labeled and they lie on circle C.

Equilateral triangle ANP inscribed in circle C:

This option is not possible. The points A and P are labeled, but the third vertex of the equilateral triangle is not specified.

Regular hexagon AMNBPQ inscribed in circle C:

This option is possible since the points A, M, N, B, P, and Q are labeled and they lie on circle C.

Square MNPQ inscribed in circle C:

This option is not possible based on the given information. The label points do not form a square.

Square ANBQ inscribed in circle C:

This option is not possible . The points A, N, B, and Q are labeled, but they do not form a square.

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

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Answer:

41.93 degrees

Step-by-step explanation:

Answer:

The phenotypic ratios are the ratios of visible characteristics. The genotypic ratios are the ratios of gene combinations in the offspring, and these are not always distinguishable in the phenotypes.

Genotype is the genetic make-up of an organism that describes the nature of each trait. (the letters we often write for a certain trait)

Genotype is the genetic make-up of an organism that describes the nature of each trait. (the letters we often write for a certain trait)

Phenotype is the morphology of a living organism .(the trait you usually observe while looking/tracking the organism)

For an Example:

In the flower of a pea plant there are a pink color(RR) or (Rr) and a white color(rr).

When crossing two hybrid ( with two different letters) pink colors,

P  :     Rr        ×      Rr  

G :      R    r        R    r    

F1 :  RR   Rr    Rr    rr

The phenotype ratio will be  (3 pink : 1 white)

The genotype ratio will be  [1 (RR) : 2 (Rr) : 1 (rr)]..

Hence Genotype is the genetic make-up of an organism that describes the nature of each trait. (the letters we often write for a certain trait)

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Answer:

The equation has only one solution which is:

Step-by-step explanation:

Given the equation

\(3x\:+\:6\:=\:-1\:-\:3\:+\:4x\)

Let us solve the equation to determine the type of the equation

\(3x\:+\:6\:=\:-1\:-\:3\:+\:4x\)

subtract the number: -1 - 3 = -4

\(3x+6=4x-4\)

subtract 6 from both sides

\(3x+6-6=4x-4-6\)

\(3x=4x-10\)

subtract 4x from both sides

\(3x-4x=4x-10-4x\)

\(-x=-10\)

Divide both sides y -1

\(\frac{-x}{-1}=\frac{-10}{-1}\)

\(x=10\)

Therefore, the equation has only one solution which is:

Answer:

C one

Step-by-step explanation:

I toolk the test

The points on a parabola with the focal axis parallel to the abscissa axis, of parameter p and A, B is -12.

Since A and B are points on the parabola, write two equations using the general form of the parabolic equation:

(x - h)² = 4p(y - 1)

The focal axis is parallel to the x-axis, so the distance from the vertex to the focus is equal to p. Therefore, use the distance formula to write an equation for the distance between the vertex and point A:

√((13 - h)² + (a - 1)²) = p

Similarly, write an equation for the distance between the vertex and point B:

√((4 - h)² + (b - 1)²) = p

A and B lie on the line 2x - y - 13 = 0, so substitute the x and y coordinates of A and B into this equation and solve for a and b:

2(13) - a - 13 = 0

2(4) - b - 13 = 0

Solving these equations gives us a = 3 and b = -5.

Now three equations and three unknowns (a, b, and h):

√((13 - h)² + 4) = p + 1

√((4 - h)² + 36) = p + 1

2h - 3 - 13 = 0

The third equation simplifies to 2h = 16, or h = 8.

Substituting this value of h into the first two equations and squaring both sides:

(13 - 8)² + 4 = (p + 1)²

(4 - 8)² + 36 = (p + 1)²

Simplifying these equations and solving for p gives us p = 3.

Finally, find a" + bP by substituting the values found for a, b, and p:

a" + bP = 3 + (-5)(3) = -12

Therefore, the solution is a" + bP = -12.

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Answer:

32768x¹⁰

Step-by-step explanation:

by applying the law of indices

multiply the powers inside the parentheses with the power outside of the parentheses

then evaluating 2¹⁵ equals 32768

multiply by x¹⁰

the answer is 32768x¹⁰