1) In his career, Henry Aaron collected 6,856 total stolen bases, Stan Musial collected 6,134 total bases, and Willie Mays had 6,066 total bases. How many bases did they have altogether?
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2) In his career, Pete Rose had 14,053 at-bats. Henry Aaron had 12,364 at-bats. How many more at-bats did Pete Rose have?
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3) Henry Aaron hit 755 career home runs. Babe Ruth hit 714 career home runs. Willie Mays hit 660 career home runs. How many home runs did they hit in all?
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4) Pete Rose collected 4,256 career hits in 24 years as a major league player. About how many hits did he average per year?
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5) Bank One Ballpark in Arizona can seat 48,500 people for a game. How many tickets could they sell for 81 games?
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6) Nolan Ryan had 5,714 lifetime strikeouts against the batters he faced. Steve Carlton had 4,136 lifetime strikeouts. How many more strikeouts did Nolan Ryan have?
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7) Dodger Stadium in Los Angeles will seat 56,000 fans. How many groups of 20 fans could they fit into Dodger Stadium?
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8) Babe Ruth had 2,062 career walks. Mickey Mantle collected 1,733 walks. How many fewer walks did Mantle have?
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9) Ty Cobb had 4,189 hits in a 24-year career. Approximately what was his average number of hits per year?
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10) The St. Louis Cardinals have won 9 World Series in the 15 World Series they have played. What is their winning percentage?
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If there are 240 students in the sixth-grade class then the number of votes that Naomi received is: 336 votes.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Bridgette and Naomi ran for sixth-grade class president.

In the election, every sixth-grade student voted for either Bridgette or Naomi.

Bridgette received 5 votes for every 7 votes Naomi received.

the first figure represents 5:7 ratio in the story.

Since Bridgette received 5 votes for every 7 votes Naomi received, Bridgette received 5/7 of the total votes and Naomi received 2/7 of the total votes.

We know that the total number of votes cast is equal to the total number of students in the class, which is 240.

Therefore, we can set up the equation:

⁵/₇(x) + ²/₇(x) = 240

Simplifying the equation, we get:

(5x + 2x)/7 = 240

7x/7 = 240

x = 240 × 7/5

x = 336

Therefore, If there are 240 students in the sixth-grade class then Naomi received 336 votes.

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Answer: 2

Step-by-step explanation: i used my brain

Given that,

A circular running track is ¼ mile long.

Elena runs on this track, completing each lap in 1/16 of an hour

To find,

Elena’s running speed.

Solution,

Formula used :

Speed = distance/time

\(v=\dfrac{\dfrac{1}{4}}{\dfrac{1}{16}}\\\\=\dfrac{1}{4}\times 16\\\\=4\ mph\)

So, Elena’s running speed is 4 mph.

Answer:

The difference in the effectiveness of the new treatment versus the standard treatment may be due to chance, and further studies may be needed to determine the effectiveness of the new treatment.

Step-by-step explanation:

To determine if the difference in the number of patients reporting reduced pain is statistically significant, we can use a hypothesis test.

The null hypothesis is that there is no difference between the two treatments in terms of the proportion of patients who report reduced pain after half an hour. The alternative hypothesis is that there is a difference between the two treatments.

We can use a two-sample proportion test to compare the proportions of patients reporting reduced pain in the two groups.

The test statistic is calculated as:

z = (p1 - p2) / sqrt(\(\sqrt{(p_hat * (1 - p_hat) / n1) + (p_hat * (1 - p_hat) / n2)}\))

where p1 and p2 are the proportions of patients in the two groups reporting reduced pain, p_ hat is the pooled proportion (calculated as the total number of patients reporting reduced pain divided by the total number of patients), and n1 and n2 are the sample sizes.

In this case, we have:

p1 = 50/65 = 0.769

p2 = 40/60 = 0.667

p_ hat = (50 + 40) / (65 + 60) = 0.672

n1 = 65

n2 = 60

Substituting these values into the formula, we get:

z = (0.769 - 0.667) / sqrt((0.672 * (1 - 0.672) / 65) + (0.672 * (1 - 0.672) / 60))

= 1.412

Using a standard normal distribution table or calculator, we can find the probability of obtaining a z-value of 1.412 or greater, assuming the null hypothesis is true. This is the p-value of the test.

The p-value turns out to be approximately 0.078, which is greater than the commonly used significance level of 0.05. This means that there is not enough evidence to reject the null hypothesis and we cannot conclude that the difference in the number of patients reporting reduced pain is statistically significant.

Therefore, the difference in the effectiveness of the new treatment versus the standard treatment may be due to chance, and further studies may be needed to determine the effectiveness of the new treatment.

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The combination expression c(4,4) when evaluated has a solution of 1

The expression c(4,4) represents the number of ways to choose 4 items from a set of 4 items, where the order in which we choose the items does not matter.

This is also known as a combination.

We can use the formula for combinations to calculate c(4,4):

c(4,4) = 4! / (4!(4-4)!)

= 4! / (4!0!)

= 4! / 4!

= (4 x 3 x 2 x 1) / (4 x 3 x 2 x 1)

= 1

Therefore, c(4,4) = 1.

There is only one way to choose 4 items from a set of 4 items, and that is to choose all 4 items.

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Answer:

x = 58°

∠P = 58°

∠PQR = 64°

Step-by-step explanation:

If you add the two nonadjacent angles together they will equal the exterior angle. Setup up an equation using that info.

\(58 +x=2x\)

Solve for x.

\(58 +x-x=2x-x\\58=x\)

Since ∠P is the same as x, ∠P = 58°

To find ∠PQR, add ∠P and ∠R together and then subtract from 180°. You subtract from 180° because the sum of the three angles of a triangle equal 180°.

58 + 58 = 116

180 - 116 = 64°

∠PQR = 64°

The vector A extending from the origin to point A(4, 3, 2) can be represented as: A = 4ax + 3ay + 2az, where ax, ay, and az represent the unit vectors in the x, y, and z directions, respectively. Therefore, the vector A can be written as (4, 3, 2) in terms of its components.

The vector A represents the displacement from the origin to point A in a three-dimensional coordinate system. It is determined by the differences in the x, y, and z coordinates between the origin and point A. In this case, the x-coordinate of point A is 4, the y-coordinate is 3, and the z-coordinate is 2. Therefore, the vector A can be expressed as (4ax + 3ay + 2az) in terms of its components.

The unit vectors ax, ay, and az represent the direction of the x, y, and z axes, respectively. By multiplying each unit vector by its respective coordinate value and summing them, we obtain the vector A. Thus, the vector A extending from the origin to point A can be specified as (4, 3, 2) in terms of its components.

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Answer:

its c.7

Step-by-step explanation:

I took the quiz

Answer:

c. 7

Step-by-step explanation:

i had this quiz also

There are 3003 ways to distribute the 15 pieces of candy to 5 children, regardless of the order in which the children receive the candy.

The concept of combinations is used to find the number of ways to choose a certain number of items from a larger set of items, without regard to their order. In this case, the larger set of items is the 15 pieces of candy (8 strawberry and 7 rhubarb), and we want to find the number of ways to choose 5 pieces of candy to give to 5 children.

The formula for combinations is C(n, k) = n! / (k! * (n-k)!), where n is the total number of items, k is the number of items to choose, and ! means factorial. Factorial of a number n is the product of all positive integers up to n, so for example, 5! = 5 * 4 * 3 * 2 * 1 = 120.

So, using this formula, we can calculate the number of combinations of 15 items taken 5 at a time:

C(15,5) = 15! / (5! * (15-5)!) = 15! / (5! * 10!) = 15 * 14 * 13 * 12 * 11 / (5 * 4 * 3 * 2 * 1) = 3003.

So there are 3003 ways to distribute the 15 pieces of candy to 5 children, regardless of the order in which the children receive the candy.

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The limit of the given expression is 0, which is option (A).

To find the limit of the given expression, we can use L'Hôpital's rule, which states that if we have an indeterminate form of the type 0/0 or infinity/infinity, then we can take the derivative of the numerator and denominator separately and evaluate the limit again.

Let's apply L'Hôpital's rule to the given expression:

lim x→[infinity] ln(bx+1)/ln(ax^2+3) = lim x→[infinity] (d/dx ln(bx+1))/(d/dx ln(ax^2+3))

Taking the derivative of the numerator and denominator separately, we get:

lim x→[infinity] b/(bx+1) / lim x→[infinity] 2ax/(ax^2+3)

As x approaches infinity, the terms bx and ax^2 become dominant, and we can ignore the constant terms 1 and 3. Therefore, we can simplify the above expression as:

lim x→[infinity] b/bx / lim x→[infinity] 2ax/ax^2

= lim x→[infinity] 1/x / lim x→[infinity] 2/a

= 0/2a

= 0

Hence, the limit of the given expression is 0, which is option (A).

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Vertical angles : 8 and 10

Linear pair : 9 and 10

Adjacent angles : 7 and 10

Answer: do you play 2k or modern warfare

Step-by-step explanation:

The quadratic function which models the motion of the penny is

h(t) = -4.9t² -0.327761 t + 52.6  

and the maximum height reached is 57.43

h(t) = - 0.5gt² + vt + h

g = 9.8 m/s²

h = 52.6 m

v = ?

For v,

h(t) = -0.5gt² + vt + 52.6

h(t) = - 4.9t² + vt + 52.6

Time when penny hits the ground ; t = 3.31

h(3.31) = 0

0 = -4.9(3.31)² + v(3.31) + 52.6

0 = -53.68489 + 3.31v +52.6

3.31v = -1.08489

v = -1.08489/3.31

v = -0.327761 m/s

Therefore,

h(t) = -4.9t² -0.327761 t + 52.6

2.) Maximum height of the penny above the ground

t = 0.85 seconds

h(0.85) = -4.9(0.85^2)-0.327761 (0.85) + 52.6

Maximum height reached =  57.43 meters

Therefore, the maximum height reached is 57.43 meters.

An object changing its position with regard to time is referred to as motion. Motion is mathematically characterised in terms of displacement, distance, velocity, acceleration, and speed as well as the observer's frame of reference and the measurement of the change in the body's position with respect to that frame over time. Kinematics is the area of physics that studies how motion is affected by forces, whereas dynamics is the area that studies how motion is affected by forces.

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Answer:

B. 2

Step-by-step explanation:

Every time x goes up once, the y goes up twice.

Rise over Run = Y over X = 2/1

Answer:

x=-9

Step-by-step explanation:

To solve for x you should isolate the variable. Do this by adding, subtracting, and dividing terms from both sides. This is done by using the properties of equality.

1) First, subtract 3x from both sides, so that there is only one variable. You can do this using the subtraction property of equality.

2) Next, subtract 31 from both sides to further isolate the variable. This also works through the subtraction property of equality.

3) Finally, divide both sides by 6 to get the final answer. This is allowed through the division property of equality.

The probability of fatal cancers for the stomach, bone marrow, and bone surface given a dose of 6,000 rads from therapeutic radiation is not provided. The concept of radiation dosage and cancer probability.

In radiation therapy, a high energy beam of ionizing radiation is used to destroy cancer cells, shrink tumors and alleviate cancer symptoms. Ionizing radiation can damage the DNA of healthy cells as well as cancer cells. Cancer can occur as a result of the DNA damage to the cell. A long-term health risk of exposure to ionizing radiation is the development of cancer.

Radiation-induced cancers may not develop for years or even decades after exposure. The probability of radiation-induced cancer is dependent on the dose received, the time elapsed since exposure, and the type of radiation.In the case of the given dose of 6,000 rads from therapeutic radiation, the probability of fatal cancers for stomach, bone marrow, and bone surface can be estimated using statistical data. For example, according to the National Cancer Institute, the lifetime risk of fatal cancer from exposure to 10,000 rads of ionizing radiation is about 25%. However, it is important to note that this risk is spread out over a lifetime and not immediate.

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The solution of the system of equations is \(\[x=3,\text{ }y=0,\text{ and }z=2\]\).

As per data the system of linear equations,

\(\[ \left\{\begin{array}{c} x+2 y+3 z=9 \\ 2 x-y+z=8 \\ 3 x-z=3 \end{array}\right. \] 1)\)

Write the system in the matrix form \(\( A . X=B \)\)

We know that the matrix form of the system of linear equations is as follows.

\(\[A. X = B\]\)

Where

\(\[A=\begin{pmatrix} 1 & 2 & 3 \\ 2 & -1 & 1 \\ 3 & 0 & -1 \end{pmatrix}\[X=\begin{pmatrix} x \\ y \\ z \end{pmatrix}\]\)

and

\(\[B=\begin{pmatrix} 9 \\ 8 \\ 3 \end{pmatrix}\]2)\)

To solve the system, we can use row reduction method.

\(\[\begin{pmatrix} 1 & 2 & 3 & 9 \\ 2 & -1 & 1 & 8 \\ 3 & 0 & -1 & 3 \end{pmatrix}\]\)

Applying the elementary row operations

\(\[R_{2}\to R_{2}-2R_{1}\]\)

and

\(\[R_{3}\to R_{3}-3R_{1}\]\)

we get,

\(\[\begin{pmatrix} 1 & 2 & 3 & 9 \\ 0 & -5 & -5 & -10 \\ 0 & -6 & -10 & -24 \end{pmatrix}\]\)

Now applying the elementary row operations

\(\[R_{3}\to R_{3}-(6/5)R_{2}\]\)

we get,

\(\[\begin{pmatrix} 1 & 2 & 3 & 9 \\ 0 & -5 & -5 & -10 \\ 0 & 0 & -1 & -2 \end{pmatrix}\]\)

Now, we need to apply back substitution method. Using the third row, we can get the value of z as z = 2.

Now, using the second row,

\(\[-5y - 5z = -10\]\\\-5y - 5(2) = -10\]\)

Solving this equation, we get y = 0.

Finally, using the first row, we can get the value of x as

\(\[x + 2y + 3z = 9\]\\x = 3\]\)

Hence, the solution of the system of equations is \(\[x=3,\text{ }y=0,\text{ and }z=2\]\).

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The form of the likelihood function to proceed with deriving the conditional MLE estimator of θ.

what is decision boundaries.?

Decision boundaries refer to the dividing lines or regions that separate different classes or categories in a classification problem. They are determined based on the features or attributes of the data and the classification algorithm being used. The decision boundary serves as a threshold or criterion for assigning new or unseen data points to specific classes based on their feature values.

To derive the decision boundaries in the given case, more specific information or context is needed. Decision boundaries are determined based on the specific classification or grouping criteria and the underlying data distribution. Please provide additional details or specifications regarding the problem or classification task.

Regarding the conditional maximum likelihood estimator (MLE) of θ, more information is required to proceed with the derivation. The MLE involves finding the parameter value that maximizes the likelihood function based on the observed data and any relevant assumptions or models. Please provide the specific context, assumptions, and the form of the likelihood function to proceed with deriving the conditional MLE estimator of θ.

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Answer:

VB.

Step-by-step explanation:

To compare the greater pay between a salary of $74,000 per year and an hourly rate of $40 for 80 hours every fortnight, we need to calculate the total earnings for each option.

Salary per year:

To calculate the total earnings for the salary option, we simply take the annual salary of $74,000.

Total earnings = $74,000 per year

Hourly rate:

To calculate the total earnings for the hourly rate option, we need to determine the total number of hours worked in a year. Since there are 26 fortnights in a year, and the lawyer works 80 hours per fortnight, the total number of hours worked in a year would be:

Total hours worked per year = 26 fortnights * 80 hours/fortnight = 2,080 hours

Now we can calculate the total earnings:

Total earnings = Hourly rate * Total hours worked per year

= $40/hour * 2,080 hours

= $83,200

Comparing the two options, we find that the greater pay is $83,200 from the hourly rate, which exceeds the $74,000 salary per year.

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Using the tangent side from trigonometric ratio, the angle of depression is 86.6 degrees

The angle created between the line of sight to a location below the horizontal line and the horizontal line of sight is known as the angle of depression.

The angle of depression that the balloon makes with the launch pad can be calculated using the trigonometric ratio.

Data;

Since we have the opposite and adjacent side, we can use the tangent of the angle to find the angle of depression.

tanθ = opposite / adjacent

substituting the values into the formula

tan θ = 10000 / 600

tan θ = 100 / 6

tan θ = 16.666

θ = tan⁻¹(16.666)

θ = 86.6°

The angle of depression is 86.6°

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Answer:

22

Step-by-step explanation:

6(3)-2(2)+8

18-4+8

14+8

22

Answer:

22

Step-by-step explanation:

6x-2y+8

(6 • 3) - (2 • 2) + 8

18 - 4 + 8

22

(i think)

Answer:

-5

Step-by-step explanation:

The y-intercept of the equation 2x - y = -3 is 3 and in ordered pair form is (0,3).

The slope-intercept formula is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the equation in the question

2x - y = -3

First, we solve form for y and reorder in slope intercept form.

2x - y = -3

Subtract 2x from both sides

2x - 2x- y = -3 - 2x

- y = -3 - 2x

Divide each term by -1

y = 3 + 2x

Reorder in slope intercept form

y = 2x + 3

To find the y-intercept, replace x with zero and solve for y

y = 2(0) + 3

y = 3

Therefore, the y-intercept is 3.

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Answer:

please be more specific

(a) The function rule for Big Wave Waterpark, f(x) = 2.5x + 5. where f(x) is total cost and x is number of slides ridden.

b) The function rule for Coaster City is, f(x) = 5x + 7.50, where x is the number of roller coaster ridden and f(x) is total cost.

c) The function rule for Virtual Reality Lan is, f(x) = 3x + 10, where f(x) is total cost and x is the number reality rides ridden.

(a) Let f(x) = ax +b be the function which represents the total cost of Big Wave Park where x represents the number of taken ride.

We can see that f(2) = 10; f(4) = 15 and f(6) = 20.

Therefore, 2a + b = 10 and 4a + b = 15

So, 2(2a + b) - (4a + b) = 2*10 - 15

4a + 2b - 4a - b = 20 - 15

b = 5

Now, f(6) = 20

6a + b = 20

6a + 5 = 20 [putting the value of 'b']

6a = 20 - 5 = 15

a = 15/6 = 5/2 = 2.5

Hence, the function rule for Big Wave Waterpark is, f(x) = 2.5x + 5.

(b) The function rule for Coaster city is, f(x) = 5x + 7.50, where x is the number of roller coaster ridden.

(c) Let the total cost for Virtual Reality Lan is, f(x) = cx + d, where x is the number reality rides ridden.

From the given graph we can see that, f(10) = 40; f(20) = 70; f(30) = 100.

So, 10c + d= 40 ........... (i)

20c + d = 70 ............... (ii)

Solving (i) and (ii) we get,

2(10c + d) - (20c + d) = 2*40 - 70

20c + 2d - 20c - d = 80 - 70

d = 10

So putting the value d = 10 in f(30) = 100 we get,

30c + 10 = 100

30c = 100 - 10 = 90

c = 90/30 = 3

So the function rule is, f(x) = 3x + 10.

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Answer: 36

Step-by-step explanation:

The number that meets all the conditions is 36. It is divisible by 3 and 6, but not by 4 and 5. The sum of the digits is 9, which is an odd number, and the difference between the digits is 3, which is also odd. an incomparable number.

With one third of a serving remaining, there are 17 servings are there in a box that holds 13 cups.

Given that:

Each cup holds a bit more than 1 serving, so we know there are at least 13 servings in a box.

We need to know how many servings of 3/4 cup can be obtained from 13 cups.

now we need to divide 13 by 3/4

=13 ÷ 3/4  

= 13 × 4/3

= 52/3

= 17\(\frac{1}{3}\)

With one third of a serving remaining, there are 17 servings total.

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Answer:

A its 10

Step-by-step explanation:

Answer:

Step-by-step explanation:

g(x)=[x-4]                     h(x)= [x] -5

                                     h= -5

g=[x-4]

x     x

g=4