a rule that assigns each value of the independent variable to exactly one value of the dependent variable?

In the histogram you can see the number of data points because they are the ranges that lie on the x axis of the histogram, that is

You can also see that the range with the highest frequency is 60-69, that means that 60-69 is the modal interval, because it contains the data that is repeated the most

Answer:

Step-by-step explanation:

You are planning a thanksgiving fest for all your family and friends. You invite 224 people. You plan to have a piece of pie for each guest. You only have $191 left in your budget. How many of each type of pie should you hut

Let the number of pumpkin pies = p

The number of apple pies = a

Pumpkin pies have 6 pieces and cost $5. Apple pies have 8 pieces and cost $7.

Hence:

p + a = 224 people

p = 224 - a

$5 × p + $7 × a = $191

5p + 7a = 191..... Equation 1

Substitute 224 - a for p in Equation 1

5(224 - a) + 7a = 191

1120 - 5a + 7a = 191

- 5a + 7a = 191

Answer:

a

Step-by-step explanation:

The set cannot be 1, 2, 3, 4, and 5, though, as only one of the numbers in it is a multiple of 5. As a result, no such sets exist.

The area of mathematical logic known as set theory examines sets, which are essentially collections of objects. Set theory is an area of mathematics that primarily deals with items that are pertinent to mathematics as a whole, despite the fact that any form of object may be gathered into a set.

Here,

The only primes that can divide the set's numbers are 2, 3, and 5, as any greater prime would only be able to divide one of the set's numbers and produce one product.

There must be three odd numbers. One of the odd numbers and one of the even numbers can each only be a multiple of three or five.

Neither of the other odd numbers can be prime factors. The only such number is 1, hence the set must consist of 1, 2, 3, 4, and 5.

However, only one of the numbers in the set is a multiple of 5, so the set cannot be 1, 2, 3, 4, and 5. Thus, no such sets exist.

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Answer:

536

try learning on cymath jc

Sandeep picked up 4.5 pounds of fresh apples from the field

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the standard form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant.

Pounds of pre-picked apples picked up by Sandeep = 3 pounds

Charges per pound = $4

The total amount paid by Sandeep = $30

Let x be the pounds of fresh apples picked up by Sandeep

In the formulation of the equation we get the following:

Pounds of pre-picked apples*Charges per pound + Pounds of fresh apple picked*Charges per pound = Total amount paid by Sandeep

= 3*4 + x*4 = 30

12 +4x = 30

4x = 18

x = 4.5

So, fresh apples = 4.5 pounds

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Answer:

Step-by-step explanation:

216 = S³

S = ∛216

S = 6 ft

Answer:

x = 33

Step-by-step explanation:

( x + 20 ) + ( 4× - 5) = 180 {m||n}

5×+20 - 5 = 180

5×+15 = 180

5× = 165

× = 33

Answer:

8

Step-by-step explanation:

Al trazar las diagonales, ¿en cuántos triángulos queda dividido cada polígono? El pentágono, en 3 triángulos. El heptágono en 5 y el decágono, en 8.

Answer:

In a decagon, by joining one vertex to the remaining vertices you can have 8 triangles. If you are considering all the vertices independently you will have a total of 8*10 = 80 triangles.

You can figure out this way: the sum of the interior angles of a decagon = (2n-4)*right angles or (n-2)*triangles. So a decagon will form 8 triangles.

Step-by-step explanation:

In this method, we first initialize the first two terms of the series as 'a' and 'b' respectively. We then print the first two terms separately. After that, we use a loop to generate and print the remaining terms of the series.

Here is a method in Python to print the Fibonacci series up to a given number of terms 'n':

```
def fibonacci(n):
   # Initialize the first two terms of the series
   a, b = 0, 1
   # Print the first term
   print(a)
   # Print the second term
   if n >= 2:
       print(b)
   # Generate and print the remaining terms
   for i in range(2, n):
       # Compute the next term in the series
       c = a + b
       # Update the values of a and b
       a, b = b, c
       # Print the next term
       print(c)
```

Inside the loop, we first compute the next term of the series as the sum of the previous two terms (i.e. 'a' and 'b'). We then update the values of 'a' and 'b' to prepare for the next iteration. Finally, we print the next term of the series.

You can call this method with the desired value of 'n' to print the Fibonacci series up to the given number of terms. For example:

```
fibonacci(7)
```

This would print the Fibonacci series up to 7 terms: 0, 1, 1, 2, 3, 5, and 8.

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The probability that X is between 134.4 and 140.1 is approximately 0.4076, which is closest to the option 0.4069.

To calculate this probability, we need to standardize the values using the standard normal distribution. First, we find the z-scores for the lower and upper bounds:

z1 = (134.4 - 137.0) / 5.3 ≈ -0.4906

z2 = (140.1 - 137.0) / 5.3 ≈ 0.5849

Next, we use a standard normal distribution table or a calculator to find the probabilities associated with these z-scores. The probability corresponding to z1 is P(Z < -0.4906) ≈ 0.3131, and the probability corresponding to z2 is P(Z < 0.5849) ≈ 0.7207.

To find the probability that X is between 134.4 and 140.1, we subtract the probability associated with the lower bound from the probability associated with the upper bound:

P(134.4 < X < 140.1) = P(Z < 0.5849) - P(Z < -0.4906) ≈ 0.7207 - 0.3131 = 0.4076.

As a result, the chance that X lies between 134.4 and 140.1 is roughly 0.4076, which is closest to the value of 0.4069 for the option.

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Answer: 3ad^3

Step-by-step explanation: they have the same terms

Answer:

Step-by-step explanation:

This isnt actually that hard,

Rent is 150 less than normal

plus you get 60 more a month from work

so all we gotta do is 1100 + 150 + 60

150 + 60 = 210
1100 + 210 = 1310

The result of.tge evaluation of the given expression as required is; 11 / 4.

It follows from the task content that the value of the expression given be determined upon evaluation.

Since the given expression is; 5 - 3/2 to the second power

5 - (3/2)²

= 5 - 3²/2²

= 5 - 9/4

= 20 / 4 - 9 /4

On this note, the resulting expression is; ( 20 - 9 ) / 4 = 11/4.

Ultimately, the result of the expression evaluation as required to be determined is; 11 / 4.

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The first four terms of the sequence are 2, -5, -12, and -19.

A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms.

A sequence is defined as \(a_n=\left \{ {2,{~}\text{if}{~}n=1} \atop {a_{n-1}-7{~}\text{if}{~}n > 1}} \right.\).

Therefore when n = 1,

a₁ = 2

Hence the first term is 2.

For the second term of the sequence, we substitute n = 2,

\(a_n=a_{n-1}-7\\a_2=a_{2-1}-7\\\)

a₂ = a₁ - 7

a₂ = 2 - 7

a₂ = - 5

Similarly, for the third term of the sequence we susbstitute n = 3.

\(a_n=a_{n-1}-7\\a_3=a_{3-1}-7\)

a₃ = a₂ - 7

a₃ = - 5 - 7

a₃ = - 12

For the fourth term of the sequence, n = 4

\(a_n=a_{n-1}-7\\a_4=a_{4-1}-7\\\)

a₄ = a₃ - 7

a₄ = - 12 - 7

a₄ = - 19

Hence the sequence is 2, -5, -12, -19.

The correct sequence is (c) 2, -5, -12, -19.

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Answer:

y=4x+1

Step-by-step explanation:

1. 4x-y=2

  -y=-4x+2   divide both sides by -1

  y=4x-2

2. y-y1=m(x-x1)

   y-(-3)=4(x-(-1))

    y+3=4x+4

    y=4x+4-3

    y=4x+1

Parallel lines have the same, so the equation we are making should have the slope of 4.

Given:

The function is:

\(f(x)=-2x+1\)

To find:

a. Slope and Y-intercept.

b. Is the function increasing, decreasing, or constant, justify your answer.

c. Graph the function, label x, and y-intercepts.

Solution:

a. We have,

\(f(x)=-2x+1\)                  ...(i)

The slope intercept form of a line is:

\(y=mx+b\)                    ...(ii)

Where, m is the slope and b is the y-intercept.

On comparing (i) and (ii), we get

\(m=-2,b=1\)

Therefore, the slope of the line is -2 and the y-intercept is 1.

b. If the slope of a linear function is negative, then the function is decreasing.

If the slope of a linear function is positive, then the function is increasing.

If the slope of a linear function is 0, then the function is constant.

The slope of the linear function is negative.

Therefore, the function is decreasing.

c. We have,

\(f(x)=-2x+1\)

At \(x=0\), we get

\(f(0)=-2(0)+1\)

\(f(0)=1\)

So, the y-intercept is at (0,1).

At \(f(x)=0\), we get

\(0=-2x+1\)

\(2x=1\)

\(x=\dfrac{1}{2}\)

\(x=0.5\)

So, the x-intercept is at \(\left(0.5,0\right)\).

Plot the points \((0,1), \left(0.5,0\right)\) and connect them by a straight line as shown below:

The linear inequality that shows the minimum number of rides Scott has to go is 7 and is represented as 6.67 < x

Let x be the minimum number of rides Scott has to go on so that the total charge at amusement park A costs less than the total charge at amusement park B.

The total cost at amusement park A is 40 + 2.50x, and the total cost at amusement park B is 30 + 4x. We want to find the smallest value of x such that:

The linear inequality to represent this is

40 + 2.50x < 30 + 4x

Subtracting 30 from both sides:

10 + 2.50x < 4x

Subtracting 2.50x from both sides:

10 < 1.50x

Dividing both sides by 1.50:

6.67 < x

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The correct answer is a: every individual has an equal chance of being selected. A random sample is a subset of a population that is selected in a way that each member of the population has an equal probability of being chosen.

The randomness of the sample helps to ensure that the results obtained from the sample are representative of the entire population.

Option b, the probabilities cannot change during a series of selections, is a requirement for independent events but not necessarily for a random sample.

Option c, there must be sampling with replacement, is not always required for a random sample. Sampling with replacement means that after an individual is selected, they are returned to the population and can be selected again. This is not always necessary for a random sample.

Therefore, the correct answer is a: every individual has an equal chance of being selected.

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The calculated Cp value is 1.17. The goal for this process is a Cp of 1.33. Since the calculated Cp is lower than the desired value, the process is not considered capable of meeting the specified goal. This indicates that there may be a need for process improvement to achieve the desired capability.

Cp is a statistical tool used in Six Sigma methodology to measure the process capability of a manufacturing process. It is calculated by dividing the allowable spread (the difference between the USL and LSL) by six times the standard deviation.

In this case, the USL is 14 and the LSL is 0, which means the allowable spread is 14. The standard deviation is given as 2. So, Cp can be calculated as follows:

\(Cp = (USL - LSL) / (6 x Standard Deviation)\)

Cp = (14 - 0) / (6 x 2)
Cp = 1.17

A Cp value of 1 indicates that the process is barely capable of meeting the specifications. A Cp value of less than 1 indicates that the process is not capable of meeting the specifications. A Cp value greater than 1 indicates that the process is capable of meeting the specifications.

In this case, the goal is to have a Cp value of 1.33, which indicates that the process is capable of meeting the specifications with some margin. However, since the calculated Cp value is only 1.17, it indicates that the process is not capable of meeting the specifications as per the desired goal. Therefore, some improvements in the process are required to achieve the desired goal.

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The Cp is 1.2

Yes, the process is capable with a goal of 1.33

We need to know that Cp measures the process capability with respect to its specification using Upper Specification Limit (USL) and Lower Specification Limit (LSL).

The formula for calculating Cp is represented as;

Cp = USL - LSL/6δ

Such that the parameters are expressed as;

Now, substitute the values, we get;

Cp = 14 - 0/6(2)

expand the bracket

Cp = 14/12

Divide the values, we get;

Cp = 1. 2

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To calculate the area of a trapezoid given the measures of its bases (b1 and b2) and its height (h), you can use the formula: Area = ((b1 + b2) * h) / 2.

A trapezoid is a quadrilateral with one pair of parallel sides. The bases of a trapezoid are the two parallel sides, while the height is the perpendicular distance between the bases. To find the area of a trapezoid, you can use the formula: Area = ((b1 + b2) * h) / 2. In this formula, you add the measures of the two bases (b1 and b2), multiply the sum by the height (h), and divide the result by 2.

This formula works because the area of a trapezoid can be thought of as the average of the lengths of the bases multiplied by the height. By multiplying the sum of the bases by the height and dividing by 2, you find the average length of the bases, which is then multiplied by the height to obtain the area. This formula is applicable to trapezoids of any size, as long as the angle is between 0º and 180º and the inputs for the bases and height are in the appropriate units.

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A one-sample t-test is conducted to determine if recent Miss America winners have a significantly different BMI compared to winners from the 1920s and 1930s. The test results fail to reject the null hypothesis, indicating that recent winners do not appear to be significantly different from those in the 1920s and 1930s.

To determine if recent Miss America winners have a significantly different BMI compared to winners from the 1920s and 1930s, a one-sample t-test can be conducted. Using the given sample, the sample mean BMI is calculated to be 18.5.

The null hypothesis is that the population mean BMI of recent winners is equal to 19.2. The alternative hypothesis is that the population mean BMI of recent winners is different from 19.2.

Assuming a significance level of 0.05 and using a two-tailed test, the calculated t-value is -2.08 and the corresponding p-value is 0.057.

Since the p-value is greater than the significance level, we fail to reject the null hypothesis. This suggests that there is not enough evidence to conclude that recent Miss America winners have significantly different BMI compared to winners from the 1920s and 1930s.

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The exponential function that models the relationship is:

g(x) = 8 * (2.5)^x

To model the relationship described, we can write the exponential function as:

g(x) = a * b^x

Given that the dependent variable is multiplied by 2.5 for every 1 unit increase in the independent variable, we have:

2.5 = b^1

Solving for b, we find that b = 2.5.

Now, we can substitute the value of x = 0 into the equation and solve for a:

8 = a * (2.5)^0

8 = a * 1

a = 8

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\(\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}\)

\(:\implies\sf{ \frac{36}{x} = - 9} \\ \\ :\implies\sf{ \frac{36}{ 9} = -x} \\ \\ :\implies\sf{4 = -x} \\ \\ :\implies\sf{x = -4}\)

Answer:

\((s-1)(s+\frac{2{(s-1)}^{3}}{3})\)

Step-by-step explanation:

1) Use Rule of One: \({x}^{1}=x\).

\(3s\times \frac{s-1}{3}+2\times \frac{{(s-1)}^{4}}{3}\)

2) Cancel 3.

\(s(s-1)+2\times \frac{{(s-1)}^{4}}{3}\)

3)  Simplify  \(2\times \frac{{(s-1)}^{4}}{3}\)  to  \(\frac{2{(s-1)}^{4}}{3}\).

\(s(s-1)+\frac{2{(s-1)}^{4}}{3}\)

4)  Factor out the common term s-1.

\((s-1)(s+\frac{2{(s-1)}^{3}}{3})\)

Answer:

5s^(4/3) + 3s - 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

If Carlos is 6ft tall and looks up at the tree that is 275 ft tall, subtract those two.

275 - 6 = 269

Use tangent with the given angle and the new height. The distance is x.

tan15 = 269/x

x = 269/tan15

x = 1004ft

The distance from Carlos to the tree, given he is 6 feet tall and looks up at a 15° angle of elevation to see the top of a 275-foot tall tree located in Sequoia National Park, is 1026.

Hence option C is correct.

According to the information given,

We can set up a right triangle with Carlos's eye level, the top of the tree, And the base of the tree as the three points of the triangle.

Carlos's height of 6 feet can be used as one side of the triangle,

And we can use the tangent function to find the length of the adjacent side.

A tangent of 15 degrees is equal to the opposite side (height of the tree) divided by the adjacent side (distance from Carlos to the tree).

So, we can solve for the adjacent side by multiplying the height of the tree by the tangent of 15 degrees:

tan(15) = height of the tree / distance from Carlos to the tree

Distance from Carlos to the tree = height of the tree / tan(15)

Plugging in the values given:

Distance from Carlos to the tree = 275 / tan(15)

                                                      ≈ 1026

Therefore,

The nearest foot to the distance from Carlos to the tree is option C. 1026.

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The double integral of the given function over the region R is equal to 140/3.

To calculate the double integral of the given function, follow these steps:

Write down the given function and region R:

Double Integral ((2\((1+x^2)) / (1+y^2))\) dA, with 0 ≤ x ≤ 4, 0 ≤ y ≤ 1

Express the double integral using proper notation:

∬R (2\((1+x^2)) / (1+y^2)\) dA

Break the double integral into two single integrals with respect to x and y:

∫(from 0 to 1) ∫(from 0 to 4) (2\((1+x^2)) / (1+y^2)\)dx dy

First, integrate the inner integral with respect to x:

∫(from 0 to 1) [x + (\(2/3)x^3\)] (from 0 to 4) dy

Evaluate the inner integral at the limits of x:

∫(from 0 to 1) (4 + (128/3)) dy

Simplify the expression:

 ∫(from 0 to 1) (140/3) dy

Integrate the outer integral with respect to y:

 [(140/3)y] (from 0 to 1)

Evaluate the outer integral at the limits of y:

 (140/3)(1) - (140/3)(0)

Simplify the expression:

140/3
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A quadratic number pattern is a sequence of numbers in which the second difference between any two consecutive terms is constant.

Any sequence that has a common second difference is a quadratic sequence. It is important to note that the first differences of a quadratic sequence form a sequence.

Hence the correct option is D