Someone please tell me the answer :))

The National League variance is 0.00020 and the standard deviation is 0.0141 while the American League variance is 0.000191 and the standard deviation is 0.0138.

According to question, the team batting averages for Major League Baseball in a certain year are represented below. We have to find the variance and standard deviation for each league. Given below is the table of team batting averages in National League and American League.

National League   American League
 .240                .237
 .242                .244
 .240                .251
 .247                .233
 .256                .243
 .249                .248
 .256                .238
 .240                .241
 .243                .250
 .237                .238

We know that,

variance = (1/N)* Σ(xi - µ)²
Standard deviation = √variance

National League:
The mean of National League, µ = (0.240 + 0.242 + 0.240 + 0.247 + 0.256 + 0.249 + 0.256 + 0.240 + 0.243 + 0.237)/10 = 2.443/10 = 0.2443.
Substitute the values in the formula, variance = (1/10)* Σ(xi - µ)² = (1/10)* [ (0.240 - 0.2443)² + (0.242 - 0.2443)² + (0.240 - 0.2443)² + (0.247 - 0.2443)² + (0.256 - 0.2443)² + (0.249 - 0.2443)² + (0.256 - 0.2443)² + (0.240 - 0.2443)² + (0.243 - 0.2443)² + (0.237 - 0.2443)² ]= 0.00019749
Standard deviation = √variance = √0.00019749 = 0.01405
The National League variance is 0.00020 and the standard deviation is 0.0141

American League:
The mean of American League, µ = (0.237 + 0.244 + 0.251 + 0.233 + 0.243 + 0.248 + 0.238 + 0.241 + 0.250 + 0.238)/10 = 2.423/10 = 0.2423
Substitute the values in the formula, variance = (1/10)* Σ(xi - µ)² = (1/10)* [ (0.237 - 0.2423)² + (0.244 - 0.2423)² + (0.251 - 0.2423)² + (0.233 - 0.2423)² + (0.243 - 0.2423)² + (0.248 - 0.2423)² + (0.238 - 0.2423)² + (0.241 - 0.2423)² + (0.250 - 0.2423)² + (0.238 - 0.2423)² ]= 0.00019119
Standard deviation = √variance = √0.00019119 = 0.01383

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The given expression is

The greatest common factor of the first expression is 8, and the greatest common factor is 9. Let's factor out it

Answer:

h = 9

Step-by-step explanation:

You can use the Pythagorean theorem to solve this.  Consider each half of the main triangle their own triangles.  

h = a

a^2 + b^2 = c^2

or

a^2 = c^2 - b^2

a^2 = 10^2 - 5^2

a^2 = 100 - 25

a^2 = 75

a = √75

a = 8.66, or 9

h = 9 (when rounded)

Answer:

64 sequences of 4 fish are possible.

Two or more angles are said to be supplementary if and only if they add up to \(180^{o}\).

Thus the required statements and appropriate reasons are stated below:

Two lines are said to be perpendicular when the measure of the angle between them is a right angle. Thus all right angle is congruent.

Angles are said to be congruent if and only if they have equal measure.

Thus in the given question, it can be deduced that:

                     STATEMENT                             REASONS

1. AC ⊥ BD, <1 ≅ <4                                  Given

2. <BCA = \(90^{o}\), <DCA = \(90^{o}\)                       Definition of perpendicular lines

3. <BCA ≅ <DCA                                      Right angles are congruent

4. <BCA = <1 + <2                                     Angle addition property

5. <DCA = <3 + <4                                    Angle addition property

6. <1 + <2 = <3 + <4                                   Distributive property

7. <1 + <2 = <4 + <3                                    Substitution property

8. <2 ≅ <3                                                 Reflexive property

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Answer:

Exact form:   -√19

Decimal form:  −4.35889894...

The probability that Joe  will take no more than 7 tries to pass it is calculated as 0.7712.

Given: Every time Joe takes the fourth statistics quiz, he has a 19% chance of passing.

Mean = μ = 1/p = 1/(19/100) = 100/19 ≈ 5.26

Variance = σ² = (1-p)/p² = \(\frac{1-(19/100)}{19/100}^{2}\) 8100/361 ≈ 22.4376

Standard Deviation = σ = \(\sqrt{ \frac{1-p}{p^2} }\) = \(\sqrt{ \frac{1-(19/100)}{(19/100)^2} }\) = 90/19 ≈ 4.736

P(X = 7) = 0.05366

P(X<7) = 0.7175

P(X≤7) = 0.7712

Therefore, the probability that Joe  will take no more than 7 tries to pass it is 0.7712.

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Answer:

A

Step-by-step explanation:

97.5 / 15 = 6.5

The unit cost is $6.50 per pizza

Based on the given conditions,

formulate: $97.50 ÷ 15

Convert decimal to fraction: 975÷10÷15

Divide a fraction by multiplying its reciprocal : \(\frac{975}{10}\) ×\(\frac{1}{15}\)

Cross out the common factor: \(\frac{65}{10}\)

Cross out the common factor: \(\frac{13}{2}\)

Per cost pizza : \(6.5\) or \(6\frac{1}{2}\)

Hence , throwing a party , ordered 15 pizza for guest and total value of pizza is $97.50 and the cost of one per pizza is $ 6.5 .

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Step-by-step explanation and Answer:

i) 48-(10-3+(\(4^{2}\)))+2 x (4)

=33

ii)7 x (2) + 3 x (5)-(2)-1)³

=2

iii) (3 x 10)+9  x (3)-3

=54

iv)135÷ (1+\(2^{2}\)) -(8)-5)x 4

=15

Answer:

8.9k

Step-by-step explanation:

We just have to add together the length of the three sides to find the perimeter of the triangle.

(1.8k-5)+(3.5+6.1k)+(k+1.5) = 1.8k-5+3.5+6.1k+k+1.5

Combine like terms.

1.8k-5+3.5+6.1k+k+1.5 = 8.9k + 0

                                    = 8.9k

Answer:

  220.5 square feet

Step-by-step explanation:

You want to know the area of an irregular shape.

The figure can be decomposed into a triangle and a trapezoid by extending the vertical line through the figure.

The triangle has side lengths 15 ft and 15 ft, so its area is ...

  A = 1/2bh

  A = 1/2(15 f)(15 ft) = 112.5 ft²

The trapezoid has bases of 25 ft and 29 ft, and a height of 4 ft, so its area is ...

  A = 1/2(b1 +b2)h

  A = 1/2(25 ft +29 ft)(4 ft) = 108 ft²

The area of the grass will be the total of these areas:

  grass area = triangle area + trapezoid area

  grass area = 112.5 ft² +108 ft² = 220.5 ft²

The area of the grass is 220.5 square feet.

Answer:

\(A=\dfrac{1}{2}(10s+14d)\)

Step-by-step explanation:

Given that,

He makes $10 per hour making  sandwiches, and $14 per hour delivering orders.

Let there are s sandwiches and d is delivering orders.

Eric puts half of his total earnings in a  savings account for college.

The expression that represents the total amount of money Eric saves for working s hours making sandwiches and d hours delivering orders.

\(A=\dfrac{1}{2}(10s+14d)\)

Hence, this is the required solution.

Answer: B. 7•1/8

Step By Step Explanation:

bc it's the best answer choice:)

When the object's acceleration is 14 m/s and the total force is 126 N, the object's mass is approximately 9 kg.

To rewrite the formula F = ma in terms of mass (m), we can isolate the mass by dividing both sides of the equation by acceleration (a):

F = ma

Dividing both sides by a:

F/a = m

Therefore, the formula in terms of mass (m) is m = F/a.

Now, to find the object's mass when its acceleration is 14 m/s and the total force is 126 N, we can substitute the given values into the formula:

m = F/a

m = 126 N / 14 m/s

m ≈ 9 kg

Therefore, when the object's acceleration is 14 m/s and the total force is 126 N, the object's mass is approximately 9 kg.

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Answer:

(2)

x = 12

y = 4√5

(3)

x = √2

y = √3

z = 2

Step-by-step explanation:

All of the triangles are right triangles so we can use the pythagorean theorem (a² + b² = c²) to solve for the missing sides.

a = side

b = side

c = hypotenuse (opposite side of right angle)

(2)

First, find x.

x² + 5² = 13²

x² = 144

x = 12

Then use the x value and solve for y.

y² + 8² = 12²

y² = 80

y = √80 or 4√5

(3)

Use the same pythagorean theorem in question 2.

Start with the leftmost triangle and solve for x first.

1² + 1² = x²

x² = 2

x = √2

Now find y

√2² + 1² = y²

y² = 3

y = √3

Lastly, solve for z.

1² + √3² = z²

z² = 4

z = 2

Answer:

6. 21.0°

7. 39.6°

8. 58.0°

9. 72.9°

Step-by-step explanation:

6. Reference angle (θ) = x°

Hypotenuse = 15

Adjacent = 14

Apply CAH:

\( Cos(\theta) = \frac{Adjacent}{Hypotenuse} \)

Plug in the values

\( Cos(x) = \frac{14}{15} \)

\( x = Cos^{-1}(\frac{14}{15}) \)

x ≈ 21.0° (nearest tenth)

7. Reference angle (θ) = x°

Opposite = 19

Adjacent = 23

Apply TOA:

\( Tan(\theta) = \frac{Opposite}{Adjacent} \)

Plug in the values

\( Tan(x) = \frac{19}{23} \)

\( x = Tan^{-1}(\frac{19}{23}) \)

x ≈ 39.6° (nearest tenth)

8. Reference angle (θ) = x°

Hypotenuse = 17

Adjacent = 9

Apply CAH:

\( Cos(\theta) = \frac{Adjacent}{Hypotenuse} \)

Plug in the values

\( Cos(x) = \frac{9}{17} \)

\( x = Cos^{-1}(\frac{9}{17}) \)

x ≈ 58.0° (nearest tenth)

9. Reference angle (θ) = x°

Opposite = 43

Hypotenuse = 45

Apply SOH:

\( Sin(\theta) = \frac{Opposite}{Hypotenuse} \)

Plug in the values

\( Sin(x) = \frac{43}{45} \)

\( x = Sin^{-1}(\frac{43}{45}) \)

x ≈ 72.9° (nearest tenth)

Answer:

The length of line AD is 24 units.

Step-by-step explanation:

Got it right on edge2020. :)

Answer:

24

Step-by-step explanation:

got it right on edge

To develop the Branch and Bound (B&B) tree for the given problem, follow these steps:

1. Start with the initial B&B tree, where the root node represents the original problem.

2. Choose \($x_1$\) as the branching variable at node 0. Add two child nodes: one for

\($x_1 \leq \lfloor x_1 \rfloor$ \\(floor of $x_1$) and one for $x_1 \geq \lceil x_1 \rceil$ (ceiling of $x_1$).\)

3. At each node, perform the following steps:

  - Solve the relaxed linear programming (LP) problem for the node, ignoring the integer constraints.

  - If the LP solution is infeasible or the objective value is lower than the current best solution, prune the node and its subtree.

  - If the LP solution is integer, update the current best solution if the objective value is higher.

  - If the LP solution is non-integer, choose the fractional variable with the largest absolute difference from its rounded value as the branching variable.

4. Repeat steps 2 and 3 for each unpruned node until all nodes have been processed.

5. The node with the highest objective value among the integer feasible solutions is the optimal solution.

6. Optionally, backtrace through the tree to retrieve the optimal solution variables.

Note: The specific LP problem and its constraints are missing from the given question, so adapt the steps accordingly.

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Since η² ≈ 0.33 and not 0.50, the statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η² = 0.50" is false.

ANOVA, or Analysis of Variance, is a statistical method used to compare the means of two or more groups to determine if there are any statistically significant differences between them. It is commonly used in experimental and observational studies to analyze the variance between group means and within-group variability.

ANOVA tests the null hypothesis that the means of the groups are equal, against the alternative hypothesis that at least one of the group means is different. It calculates the F-statistic, which compares the between-group variability to the within-group variability. If the F-statistic is large enough and exceeds a critical value, it indicates that there is evidence to reject the null hypothesis and conclude that there are significant differences between the group means.

We can determine if η² = 0.50 is true or false by calculating the effect size η² using the provided SS between and SS within values.
η² = SS_between / (SS_between + SS_within)
η² = 20 / (20 + 40)
η² = 20 / 60
η² = 1/3 ≈ 0.33
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True, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.

The formula to calculate eta squared (η2) is:
η2 = SSbetween / (SSbetween + SSwithin)
If SSbetween = 20 and SSwithin = 40, then:
η2 = 20 / (20 + 40) = 0.5
Therefore, η2 = 0.50, which means that 50% of the total variance in the dependent variable can be attributed to the independent variable (or factor) being analyze. The statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η 2 = 0.50" is true. To determine η 2 (eta-squared), you'll need to calculate the proportion of total variance explained by the between-group variation. This can be done using the formula η 2 = SS between / (SS between + SS within). In this case, η 2 = 20 / (20 + 40) = 20 / 60 = 0.50. Therefore, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.

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The curves are intersecting at (1, 1) and (-10, -4)

Nonlinear functions are the functions where the equations are not linear or the highest degree is more than 1. The following are some examples where the functions are not linear or non-linear. Ex. \(x^{2}\) + 4x -1

In the above question, a graphical representation of non-linear system of equations is given

We need to find the solution of this non-linear system of equations based on the graphical representation

We can find the solutions from the graph, wherever the curves are intersecting, that intersection point is known as the solution of the non-linear system of equations

We can clearly see that, the curves are intersecting at

(1, 1) and (-10, -4)

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The curves are intersecting at (1, 1) and (-10, -4)

Nonlinear functions are the functions where the equations are not linear or the highest degree is more than 1. The following are some examples where the functions are not linear or non-linear. Ex. \(x^{2}\) + 4x -1

In the above question, a graphical representation of non-linear system of equations is given

We need to find the solution of this non-linear system of equations based on the graphical representation

We can find the solutions from the graph, wherever the curves are intersecting, that intersection point is known as the solution of the non-linear system of equations

We can clearly see that, the curves are intersecting at

(1, 1) and (-10, -4)

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Step-by-step explanation:

angle  B = angle D    

                     corresponding angles of parallel lines intersected by another    .                                               line are equal

angle BEA = angle DEC         Verical angles are equal

ABE ~~ CDE                           due to  A - A -S  theorem for triangles

Answer:

13, -1

Step-by-step explanation:

Answer:

14 minus negative 1 that would be 14 and -1

Step-by-step explanation:

Breaking the absolute values, we will get the solutions:

1) x < -25 or x > 1.

2) -25 < x < 1

3) x = 1 or x = -25

Starting with the first one:

|x + 12| > 13

This can be broken into two inequalities:

x + 12 > 13

x + 12 < - 13

Solving the two we get:

x > 13 - 12 = 1

x < -13 - 12 = -25

So we have the composite inequality:

x < -25 or x > 1.

The second one gives:

|x + 12| < 13

Again, we can broke this into two ones, we will get:

x + 12 < 13

x + 12 > -13

Solving the two we get:

x < 13 - 12 = 1

x > -13 - 12 = -25

So we have the inequality:

-25 < x < 1

Finally the equation:

|x + 12| = 13

Again, broke this one into two:

x + 12 = 13

x + 12 = -13

Solving thet wo:

x = 13 - 12 = 1

x = -13 -12 = -25

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The area of the composite figure is C = 80 cm²

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the composite figure be C

Now , C = area of rectangle - area of square

Let the area of the rectangle be A

Now , the length of the rectangle be L = 12 cm

Let the width of the rectangle be W = 8 cm

A = 12 x 8

A = 96 cm²

Area of square = 4 x 4 = 16 cm²

So , C = 96 - 16

C = 80 cm²

Hence , the area of figure is C = 80 cm²

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The mode is the most appropriate measure of center to represent the data in the graph because it reflects the most common value(s) observed in the dataset. In this case, the mode is 3.

The most appropriate measure of center to represent the data in the given line plot is the mode.

The mode is the value or values that occur most frequently in a dataset. In this case, we can observe the frequencies of the data points on the line plot:

There is one dot above 2, 4, 8, and 9.

There are two dots above 6 and 7.

There are three dots above 3.

Based on this information, the mode(s) of the dataset would be the values that have the highest frequency. In this case, the mode is 3 because it appears most frequently with a frequency of three. The other data points have frequencies of one or two.

The mode is particularly appropriate in this scenario because it represents the most common or frequently occurring value(s) in the dataset. It is useful for identifying the central tendency when the data is discrete and there are distinct peaks or clusters.

While the median and mean are also measures of center, they may not be the most appropriate in this case. The median represents the middle value and is useful when the data is ordered. However, the given line plot does not provide an ordered arrangement of the data points. The mean, on the other hand, can be affected by outliers and extreme values, which may not accurately represent the central tendency of the dataset in this scenario.

Therefore, the mode is the most appropriate measure of center to represent the data in the graph because it reflects the most common value(s) observed in the dataset. In this case, the mode is 3.

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Answer:

72 cm^3

Step-by-step explanation:

The volume of a rectangular prism is the length x width x height, so

6*3*4=72

The role that constant quantities play in helping you define a formula that describes how two varying quantities change together is that it shows you a starting point.

This refers to the quantity which does not change with time ,frame (such as inertial or non inertial), due to temperature, pressure or any other changes factors.

In conclusion, the role that constant quantities play in helping you define a formula that describes how two varying quantities change together is that it shows you a starting point.

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Given:

Amount of gas she had when she arrived = 4 gallons

Pump rate, r = 1/10 gallons per second

To find the amount of gas she has after s seconds, we have the equation below:

Where T represents the total amount of gallons in her tank after s seconds

ANSWER: