Write a declaration for a variable hits that can hold the number of times a baseball player has hit the ball in a baseball game.

Answer:

9/10

Hope this helps :)

a. The shape of the boxplots can indicate the distribution of the data.

b. Overall, it is difficult to determine if the students performed better on the second midterm based solely on the boxplots.

c. The first exam has a larger difference between the mean and the median, indicating a more skewed distribution.

d. The second exam has a larger standard deviation of the scores, indicating more variability in the data.

a)The first midterm scores have a roughly symmetrical shape with no outliers, while the second midterm scores have a slightly skewed shape with one outlier.

b) While the median score for the second midterm is slightly higher, the presence of an outlier in the second midterm scores could indicate that some students did poorly on that exam.

c) For the first exam, the mean is larger than the median. This is because the mean is more affected by extreme values, and the presence of a few high scores can increase the mean even if most of the scores are lower.

d) This is consistent with the slightly skewed shape of the second midterm scores and the presence of an outlier. The first exam has a smaller standard deviation, indicating that the scores are more tightly clustered around the median.

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The correlation is a significant non-zero value.

The number of samples is n.

n = 25

The correlation of the coefficient is r.

r = -0.40

When correlation is significant,

\(H _{0} : p = 0\)

When correlation is non-zero,

\(H _{ \alpha } : p ≠0\)

The test statistic is,

\(TS = \frac{r \times \sqrt{n - 2} }{ \sqrt{1 - r {}^{2} } } \)

\( = \frac{0.4 \times \sqrt{25 - 2} }{ \sqrt{1 - ( - 0.4) ^{2} } } \)

\( = \frac{ - 1.918 }{ \sqrt{0.84} } \)

= -2.093

The test statistic is -2.093.

The correlation is,

\(H _{ \alpha } : - 2.93 ≠0\)

The correlation is not equal to zero and is significant.

Therefore, the correlation is a significant non-zero value.

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Answer: 30

Step-by-step explanation:

Given

Polyhedron has (E)58 edges

It has same number of faces and vertices

Using Euler's formula

\(\Rightarrow V-E+F=2\)

where

V=no of vertices

E=no of edges

F=no of edges

Suppose there are x faces

Insert the values

\(\Rightarrow x-58+x=2\\\Rightarrow 2x=60\\\Rightarrow x=30\)

Thus, polyhedron has 30 faces.

Answer:

30

Step-by-step explanation:

Answer:

The largest third side would be 26 meters.

Option B is correct.

Step-by-step explanation:

We are given two sides of triangle 12 meters and 16 meters.

We need to find What is the largest the third side can be?

We know that the length of third side should be less than the sum of two sides of triangle

third side < length of first side + length of second side

third side < 12+16

third side < 28

So, the length of third side should be less than 28

We need to find the largest the length of third side can be: from options 22, 24 and 26. We would not consider 28 because length should be less than 28.

So, the largest third side would be 26 meters.

Option B is correct.

Answer:

\(sin \theta = - \frac{1}{5}\)

Step-by-step explanation:

We Know

            \(sin ^2 \theta + cos^2 \theta = 1\\\)

            \(sin^2 \theta = 1 - cos^2 \theta\)

                     \(= 1 - (-\frac{\sqrt{24} }{5})^2\)                   \([\ given : cos \theta = -\frac{\sqrt{24} }{5} \ ]\)

                      \(= 1 - \frac{24}{25}\\\\= \frac{25 - 24}{25}\\\\=\frac{1}{25}\)

     \(sin ^2 \theta = \frac{1}{25}\\\\sin \theta = \sqrt {\frac{1}{25}}\\\\sin \theta = \pm \frac{1}{5}\\\\Since \ \theta \ is \ in \ III \ Quadrant \ sin \theta = -\frac{1}{5}\)

The ratio of heads to tails in the probability test is 2:1 or (D) 2/1.

A ratio is a relationship or comparison between two numbers belonging to the same unit in order to determine how much larger one number is than the other.

For instance, if a test result is 7 out of 10, the ratio of the number of points earned to the total number of points is 7:10.

So, we know that the coin is flipped 36 times in the probability test:

Head = 24

Tails = 36 - 24 = 12

The ratio of heads to Tails:

Heads:Tails
24:12

24/12

2/1

2:1

Therefore, the ratio of heads to tails in the probability test is 2:1 or (D) 2/1.

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Complete question:
In a probability, experiment Eric flip a coin 36 times. The coin landed on the head 24 times. What is the ratio of heads to tails in this experiment?

A.3/2

B.1/2

C.2/3

D.2/1

The vertex form of equation is discussed below,

The vertex form of a quadratic function is f(x) = a(x – h)² + k, where a, h, and k are constants. of the parabola is at (h, k).

As, A parabola has a lowest point if it opens upward.

Additionally, a parabola has a highest point if it opens downward.

The vertex of the parabola is located at this lowest or highest point.

Now, the parent function f(x) = x² has its vertex at the origin.

Also, The vertex form of a quadratic function is

f(x) = a(x – h)² + k, where a, h, and k are constants.

For example, The parent function f(x) = x² is vertically stretched by a

factor of 4/3 and then translated 2 units left and 5 units down.

So, the vertex form : g(x) = 4/3 (x+2)² - 5.

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Answer:

Step-by-step explanation:

Any linear equation can be written as y = mx + b

The point will determine b

The slope (m) is found by this formula for a perpendicular line

m1 * m2 = - 1

m1 = -1/m2

m1 = -1/(-2/3)

m1 = 3/2

So our equation looks like

y = 3/2 x + b

Now we use the point (4,-8)

-8 = 3/2 (4) + b

-8 = 3(2) + b

-8 = 6 + b

b = - 14

The answer is

y = 4/2 - 14

Answer:

B. 24 sqrt 10

Step-by-step explanation:

Hope this helped.

Answer:

11√5

Step-by-step explanation:

just putting the question with the symbols here so its easier to find for others

Which choice is equivalent to the expression below? 3√5+8√5

A. 24√5
B. 24√10
C. 11√10
D. 11√5

False. There is no strong evidence to support the claim that the temporal pattern of super-eruptions (M>8 eruptions) is random.

The statement claims that the temporal pattern of super-eruptions is random, implying that there is no specific pattern or correlation between the occurrences of these large volcanic eruptions. However, scientific studies and research suggest otherwise. While it is challenging to study and predict rare events like super-eruptions, researchers have analyzed geological records and evidence to understand the temporal patterns associated with these events.

Studies have shown that super-eruptions do not occur randomly but tend to follow certain patterns and cycles. For example, researchers have identified clusters of super-eruptions that occurred in specific geological time periods, such as the Yellowstone hotspot eruptions in the United States. These eruptions are believed to have occurred in cycles with intervals of several hundred thousand years.

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The solution is given below:

An index number expressing the level of a group of commodity prices relative to the level of the prices of the same commodities during an arbitrarily chosen base period and used to indicate changes in the level of prices from one period to another.

Given:

Comm.         p0        q0       p1       q1       p0q0    p1q0       p1q1        p0q1

     A           25      750       30    960    18750      750       28800     24000

    B             30      450       25    550    13500     750       13750      16500

    C             5        250        6     360      1250     30        2160          1800

    D              6        90         7       210      540       42        1470           1260

    E               10        140       10     190     1400      100       1900          1900

     F                 4         48       5     65      192          240        365         260

Now,

\(\sum\)p0q0 = 35632

\(\sum\)p1q0 = 1912

\(\sum\)p1q1 = 48445

\(\sum\)p0q1= 45720

1) P01(L) = \(\sum\)p1q0/\(\sum\)p0q0 * 100

             = 5.36

2) P01(L) = \(\sum\)p1q1/\(\sum\)p0q1 * 100

            = 105.96

Dorbish- Bowley

= 5.36+ 105.96/2

=55.66

Marshall- Edgeworth

=  1912+  48445/35632 + 45720

= 50357/ 81352

= 0.619 *100= 61.9

Fisher's price index

=( 5.36 * 105.96 )^ 0.5

=23.831

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Answer:  Theorems About Roots of Polynomial Equations

Step-by-step explanation:

Theorems About Roots of Polynomial Equations

In the given case we can conclude that the polynomial is \(-x^6 + bx^5 + cx^4 + dx^3 + ex^2 + fx - 5.5.\)

To create a polynomial with 4 terms, a degree of 6, a leading coefficient of -1, and a constant term of -5.5, we can use the general form of a polynomial:

A "polynomial" is a mathematical expression consisting of variables (or indeterminates) raised to non-negative integer powers, combined using addition and multiplication. Polynomials are fundamental objects in algebra and are used to represent a wide range of mathematical relationships, including functions, curves, and various mathematical concepts.

P(x) = \(ax^6 + bx^5 + cx^4 + dx^3 + ex^2 + fx + g\)

Plugging in the given values, we have:

P(x) = \(-x^6 + bx^5 + cx^4 + dx^3 + ex^2 + fx - 5.5\)

Remember that the degree of a polynomial is determined by the highest exponent of x.

In this case, the degree is 6.

The leading coefficient is the coefficient of the term with the highest degree, which is -1. The constant term is -5.5.

So, the polynomial is \(-x^6 + bx^5 + cx^4 + dx^3 + ex^2 + fx - 5.5.\)

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Answer:

-1/2x

Step-by-step explanation:

We know point (-10, 0) and point (0,-5)

So, the slope would be -5/10 or simplified at -1/2

y= -1/2x

Answer: -1/2

Step-by-step explanation:

Use two points on the graph and plug it into the formula

y2-y1 divided by x2-x1

Answer:

let DEC=x

x-135=180

x=45°

supplementary angles

The maximal flow in the given graph is 4.Based on the given information, the maximal flow in the graph is 4.

To solve the maximal flow problem, we can use the Ford-Fulkerson algorithm or any other suitable algorithm like the Edmonds-Karp algorithm. However, since the graph provided is not clear, I will assume that the numbers in parentheses represent the capacities of the edges.

We start with an initial flow of 0 in all edges. Then, we iteratively find augmenting paths from the source (1,0) to the sink (3,2) until no more paths can be found.

One possible augmenting path is (1,0) -> (2,0) -> (3,0) -> (4,4) -> (4,2) -> (5,2) -> (5,4) -> (3,2). The minimum capacity along this path is 4, so we can increase the flow by 4 units.

After updating the flow, the residual capacities of the edges will change. However, without the actual capacities of the edges, it is not possible to determine the exact residual capacities and find the next augmenting path. Hence, further calculations and iterations cannot be performed without the complete graph information.

Based on the given information, the maximal flow in the graph is 4. However, additional details are required to provide a comprehensive solution and determine the exact flow values for all edges in the graph.

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Answer:

The distance between each sign would be 1/8th of a mile.

Step-by-step explanation:

To find where each should be placed and the distance between them we would have to multiply 1/2 by 1/4 because there are 4 signs.

1/2 * 1/4 = 1/8

Each sign should be placed 1/8 of a mile away from each other.

So, the first sign would be placed at 1/8 of the half mile, the second sign would be placed at 1/4 of the half mile, the third sign should be put at 3/8 mark of the half mile, and then the fourth sign would be placed at the 1/2 mile mark.

Fraction form:

Sign 1: 1/8 mile

Sign 2: 1/4 mile

Sign 3: 3/8 mile

Sign 4: 1/2 mile

In decimal form it would be:

Sign 1: 0.125 mile

Sign 2: 0.25 mile

Sign 3: 0.375 mile

Sign 4: 0.5 mile

Hope this helps!!

The volume of the solid is (3π/5) units^3.  To find the volume of the solid formed by rotating the region in the 1st quadrant enclosed by the curves y=x^1/4 and y=x/64 about the y-axis, we can use the method of cylindrical shells.

First, we need to determine the limits of integration. Since the region is in the 1st quadrant, we can integrate from y=0 to y=1. To find the corresponding x-values for these limits, we can set y=x^1/4 and y=x/64 equal to 1 and solve for x:

x^1/4 = 1 => x = 1

x/64 = 1 => x = 64

So, our limits of integration are x=1 to x=64.

Next, we need to find an expression for the radius of each cylindrical shell. The radius is simply the distance from the y-axis to the curve at a given y-value. So, for a given y, the radius is:

r = x - x^1/4

Finally, we need to find an expression for the height of each cylindrical shell. The height is the infinitesimal change in y, which is simply dy. So, the volume of each cylindrical shell is:

dV = 2πr dy

Putting it all together, we have:

V = ∫(2πr) dy from y=0 to y=1

= ∫2π(x - x^1/4) dy from y=0 to y=1

= 2π ∫(x - x^1/4) dy from y=0 to y=1

= 2π ∫(y^4 - y) dy from y=0 to y=1

= 2π [y^5/5 - y^2/2] from y=0 to y=1

= 2π [(1/5) - (1/2)]

= (3π/5) units^3

Therefore, the volume of the solid is (3π/5) units^3.

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The value of x is 14 and the value of y is 7√3.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

We know sin is opposite/hypotenuse

∴ sin30° = 7/x.

1/2 = 7/x.

x = 14.

We also know that tan is opposite/adjacent.

tan30° = 7/y.

1/√3 = 7/y.

y = 7√3.

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A ratio variable should be transformed into a dichotomous variable represented with dummy coding when the research question or analysis requires a simplified comparison between two distinct groups, the relationship between the ratio variable and the outcome variable is non-linear, there is a meaningful cutoff or threshold value, or specific statistical methods necessitate dichotomous variables.

A ratio variable may be transformed into a dichotomous variable represented with dummy coding under the following conditions:

Simplification of Analysis: When the research question or analysis requires a simplified comparison between two distinct groups or categories based on the ratio variable.

Nonlinearity: If the relationship between the ratio variable and the outcome variable is non-linear, it may be beneficial to dichotomize the ratio variable to capture the presence or absence of a certain condition or threshold.

Practical Interpretation: When there is a meaningful and interpretable cutoff or threshold value for the ratio variable that divides the population into two distinct groups.

Statistical Analysis Requirements: Certain statistical methods or models may require dichotomous variables for analysis, and transforming a ratio variable into a dichotomous variable allows for the use of these methods.

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Answer:

well grab 24,000 and multiply it by 0.12 and you will get 2,880

Step-by-step explanation:

Answer:

24,000 x 0.12 =2880 /ᐠ.ꞈ.ᐟ\

Step-by-step explanation:

The superposition is the imposing of one wave on the other and resulting in the change of the amplitude of the final wave.

When two or more waves travel through the same space in superposition, their combined amplitudes equal the amplitudes they would have produced individually. For instance, two waves moving in the same direction will pass through each other without causing any distortion on the other side.

The pattern you see when shining light through two slits, the sounds you hear in acoustically sound rooms and music halls, the interference radios receive when moved close to other electronic devices, and any tone produced by a musical instrument are all examples of the superposition principle in action.

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The inequality that represents the number of songs and albums that Jorge could download is:

$2*s + $12*a ≤ $50

Here we have the variables:

s = number of songs.

a = number of albums.

Then the total cost can be written as:

$2*s + $12*a

And we know that Jorge has a maximum of $50 to spend, so the total cost can be equal to or smaller than $50, so the inequality is:

$2*s + $12*a ≤ $50

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The difference in the account balances at the end of the loan terms is given as follows:

$1,686.87.

The amount of money earned, in compound interest, after t years, is given by:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which:

The parameters for the offer 2 are given as follows:

P = 75000, r = 0.035, n = 12, t = 62/12.

Hence the balance of the offer 2 is given as follows:

B = 75000 x (1 + 0.035/12)^(12 x 62/12)

B = $89,842.51.

The balance of Offer 1 is of $91,529.38, hence the difference in the balances is given as follows:

91529.38 - 89842.51 = $1,686.87.

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Answer:

a=(x1,y1)

Step-by-step explanation:

Answer:

3000

Step-by-step explanation:

1000 + 2000 = 3000

Step-by-step explanation:

sum1,000+2,000=3000.is yoir answer

To calculate the remaining balance on Welham's loan today, we need to determine the outstanding principal after 96 payment periods.

First, we calculate the monthly interest rate by dividing the annual interest rate by 12:

r = 4.25% / 12 = 0.04208333

Next, we calculate the number of remaining payment periods:

n = 20 years * 12 months/year - 96 payment periods = 144 - 96 = 48 payment periods

Using the formula for the monthly payment on a fixed-rate mortgage, we can calculate the monthly payment amount:

P = $326,500

r = 0.04208333

n = 20 years * 12 months/year = 240 payment periods

monthly payment = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

After calculating the monthly payment amount, we can use the remaining balance formula for a fixed-rate mortgage:

remaining balance = monthly payment * ((1 + r)^n - (1 + r)^p) / r

where p is the number of payments made (96 payment periods in this case).

Substituting the values into the formula, we can calculate the remaining balance on the loan today.

Please note that the exact calculations require precise values for the interest rate and the number of remaining payment periods. Make sure to use the actual values provided in the problem statement to obtain an accurate result.

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