on the table for the binomial distribution, if you have a probability of 0.75, which vertical column for x do you use?

Answer:

TRIANGLE PROBLEM:

area : 6a^4

perimeter : 12a^2

SIMPLIFY problem:

-40c^2+26a^2+30ac

EVALUATE & FACTOR:

(q^2 - p) ( p^2 - q)

and the solved form is 240

hope it helps :)

Step-by-step explanation:

lol im an rsm kid too. but i hope these are right,

first i'm gonna start with 263 c.

AREA = 4a^2 * 3a^2 divided by 2.  

12a^4 divided by 2 = 6a^4.

AREA = 6a^4

Perimeter you can find with the pythag. th.

(4a^2) ^2 + (3a^2 ) ^2 = c^2

16a^4 + 9a^4 = c^2

, the missing side is 5a^2

therefore the perimeter is 4a^2 + 3a^2 + 5a^2 = 12a^2

ok next, im gonna do 266

the answer is -40c^2+26a^2+30ac

make sure to check this w/ symbo or mthway

ok last one!!

factored form is (q^2 - p) ( p^2 - q)

and the solved form is 240

Answer:

1. $1900

2. $9

Step-by-step explanation:

Part a:

‘If she doesn’t sell any copies of History is Fun’ means x = 0:

[tex]y = 1900 + 9(0)[/tex]

∴ y = Melissa’s total pay = $1900

Part b:
Rearranging the equation:

[tex]y = 9x + 1900[/tex]

∴m = slope of equation = positive 9

  c = y-intercept = 1900

The shape of the graph would be increasing or ascending. And since the Number of copies (x) can never be negative, this means that the amount of pay CANNOT be less than $1900. The amount of $1900 is her minimum pay

The value of m for this equation indicates the change in Melissa’s total pay for every copy she sells.

∴Change in Melissa’s total pay = 9 dollars

Answer:  x=3, y=-1

Step-by-step explanation:

2x+y=5

2y=2x-8

In equation 1, y=5-2x.

Substitute this value in equation 2.

2(5-2x)=2x-8

10-4x=2x-8

Thus,

4x+2x=10+8 (collecting terms)

6x=18

x=3

Now, we said earlier that y=5-2x.

Therefore, y=5-2(3) [because x=3]

y=5-6

y=-1

Hope this helps :]

5.4%   is the percent error .

What is the formula for errors?

The difference between the estimated value and the actual value in relation to the actual value is given as a percentage and is known as the percent error.

                             The relative error is multiplied by 100 to calculate the % error, in other words. The absolute value of the difference between the measured value and the actual value is divided by the actual value, then multiplied by 100 to get the percent error. 

 = 500 - 473/500  * 100

 =   27/500 * 100

 =   5.4%

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There were originally 10 puppies in the litter, as of the given condition.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
We can represent the number of original puppies as "x", and the sequence of events can be represented as:

Sold half of the puppies, so they have x/2 left - 1 sold to the local pet shop.

Sold half of the remaining puppies, so they have (x/2 - 1)/2 left sold to poodle palace.

One puppy was given to Grace, so they have ((x/2 - 1)/2- 1 = x - 2 / 4 - 1 remaining.

Since they are left with x - 2 / 4 - 1  puppies in the end, we can set this equal to 1 (the remaining puppy given to Grace), and solve for x:

x - 2 / 4 - 1  = 1

x - 2 = {1 + 1} * 4
x = 8 + 2
x = 10

Therefore, there were originally 10 puppies in the litter.

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[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{135\% of 160}}{\left( \cfrac{135}{100} \right)160}\implies \text{\LARGE 216}[/tex]

Answer:

11

Step-by-step explanation:

Let's call the number of games of Balloon Bouncer that Amy played as "x".

Amy started with 35 tokens and used 2 for Roll-and-Score, so she had 35 - 2 = 33 tokens left.

Each game of Balloon Bouncer costs 3 tokens, so the total number of tokens used for Balloon Bouncer games is 3x.

Therefore, the equation to find the number of games Amy played is:

33 = 3x

Solving for x, we get:

x = 11

So Amy played 11 games of Balloon Bouncer.

Answer: 3g + 3 = 35

Step-by-step explanation:

The transformed functions is

a) The absolute value function reflected across the x axis and shifted up 2 units is y₁ = -| x₁ | + 2

b) The absolute value function that is shifted left 3 units and is compressed by a third is y₂ = ( 1/3 ) | x₂ + 3 |

c) The absolute value function reflected across the x axis stretched vertically by 5 units shifted left 4 units and up 6 units is y₃ = -5 | x₃ + 4 | + 6

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

a) The absolute value function reflected across the x axis and shifted up 2 units is y₁

The absolute value function is y₁ = | x₁ |

when reflected over x axis , the new function is

y₁ = - | x |

when shifted up 2 units ,

y₁ = -| x₁ | + 2

b)The absolute value function that is shifted left 3 units and is compressed by a third is y₂

The absolute value function is y₂ = | x₂ |

when shifted left 3 units ,

y₂ = | x₂ + 3 |

when compressed by a third , the new function is

y₂ = ( 1/3 ) | x₂ + 3 |

c)The absolute value function reflected across the x axis stretched vertically by 5 units shifted left 4 units and up 6 units is y₃

The absolute value function is y₃ = | x₃ |

when reflected across the x axis ,

y₃ = - | x₃ |

when stretched vertically by 5 units ,

y₃ = - 5 | x₃ |

when shifted 4 units left ,

y₃ = - 5 | x₃ + 4 |

when shifted 6 units up ,

y₃ = -5 | x₃ + 4 | + 6

Hence , the transformation of functions are solved

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Answer: D. 6 cm

Step-by-step explanation:

V = 4/3πr^3

r = (3 V/4π)^1/3 = (3* 900/4*π)^1/3 = 5.98942

Answer:

Step-by-step explanation:

A square is a 4 sided polygon in which all of its side lengths are equal and the diagonals are also be

The distance is decreasing with time meaning that the object is going back to the starting point.

When distance decreases with time, it means that the object is moving towards its starting point or moving in the opposite direction from its initial position. In other words, the object is moving backwards or reversing its direction of motion.

Distance is a measure of the total amount of ground covered by an object in motion, while time is a measure of how long it takes the object to cover that distance. If the object is moving towards its starting point, it means that it is covering less and less distance over time, or the distance it covers is decreasing.

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The system of equations has a unique solution. The solution of the system of equations is (-3,4).

What is the system of equations?

Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

Given equations are

y = x + 7   ......(i)

y = -7/3x - 3   ......(ii)

Putting x = 0 in equations (i) and (ii):

y = 0 + 7

y = 7

y = -7/3 × 0 - 3

y = -3

Putting x = 3 in equations (i) and (ii):

y = 3 + 7

y =10

y = -7/3 × 3 - 3

y = -10

Putting x = -3 in equations (i) and (ii):

y = -3 + 7

y = 4

y = -7/3 × (-3) - 3

y = 4

The points in equation (i) are (0,7), (3,10), (-3,4)

The points in equation (ii) are (0,-4), (3,-10), (-3,4)

Plot the points and join the points:

The intersection of the equation is (-3,4).

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Answer

Step-by-step explanation:

The length of the radius of the sphere is 15 in.

It is a three-dimensional figure and has a diameter and a radius and the volume of a sphere is 4/3πr³.

We have,

Volume of the sphere = 14130 in³

So,

4/3πr³ = 14130 _____(1)

Solve for r.

4/3 x 3.14 x r³ = 14130

keep r on one side and the rest on the other side.

r³ = 14130 x 3 / 4 x 3.14

Cube root on both sides.

r³ = 3375

∛r³ = ∛3375

[ 15 x 15 x 15 = 3375 ]

So,

r = 15

Thus,

The radius of the sphere is 15 in.

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Jonathan's acceleration is -0.3043 m/s² East, which means he is slowing down.

Acceleration is the rate of change of the velocity of an object with respect to time.

Jonathan's initial velocity, u = 12 m/s East

His final velocity, v = 5 m/s East

The time taken, t = 23 seconds

We can use the formula for acceleration:

a = (v - u) / t

Substituting the given values, we get:

a = (5 m/s - 12 m/s) / 23 s

a = -7 m/s / 23 s

a = -0.3043 m/s^2 East

Therefore, Jonathan's acceleration is -0.3043 m/s² East, which means he is slowing down.

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To prove that removing the root of a k-th order binomial tree results in k binomial trees of smaller orders, we will use mathematical induction.

Base case: For k = 1, removing the root of a 1st order binomial tree results in zero smaller binomial trees, which is true.

Inductive hypothesis: Assume that removing the root of a k-th order binomial tree results in k binomial trees of smaller orders, for some positive integer k.

Inductive step: We want to prove that removing the root of a (k+1)-th order binomial tree results in (k+1) binomial trees of smaller orders.

By definition, a (k+1)-th order binomial tree, denoted by B(k+1), is formed by joining two k-th order binomial trees, denoted by Bk, with one of them as the leftmost child of the root of the other. Let us remove the root of B(k+1) to obtain a new binomial tree, denoted by B'.

Since B(k+1) is formed by joining two k-th order binomial trees, we can apply the inductive hypothesis to each of them to obtain that removing their roots results in k smaller binomial trees each. Let these smaller binomial trees be denoted by B1, B2, ..., Bk and C1, C2, ..., Ck,

respectively.

Now, consider B' and observe that it is a k-th order binomial tree, since it has k children, each of which is a smaller binomial tree. Moreover, B' is obtained from B(k+1) by removing the root, which is the parent of the two k-th order binomial trees Bk and Ck. Thus, we have decomposed B' into k smaller binomial trees, namely B1, B2, ..., Bk and C1, C2, ..., Ck.

Therefore, we have shown that removing the root of a (k+1)-th order binomial tree results in (k+1) binomial trees of smaller orders, which completes the induction.

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The ordered pair (2,10) means that the cost to feed 200 animals is of $10,000.

The general format of an ordered pair is given as follows:

(x,y).

The meaning of an ordered pair (x,y) is that y = f(x), meaning that the numeric value of the function at the value of x is of y.

The variables for this problem are given as follows:

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The average velocity from 4 to 8 seconds is given as follows:

v = [position at 8 seconds - position at 4 seconds]/4.

Velocity is distance divided by time, hence the following equation is built to model the relationship between these variables:

v = d/t.

The change in the distance from 4 to 8 seconds is given as follows:

position at 8 seconds - position at 4 seconds

The change in the time from 4 to 8 seconds is given as follows:

8 - 4 = 4 seconds.

Hence the velocity is of:

v = [position at 8 seconds - position at 4 seconds]/4.

The problem is incomplete, hence the general procedure to obtain the average velocity was presented.

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The statement is incorrect. The replacement of three 2s with two threes will change the sum.

For example, consider the set {2, 2, 2}. The sum of this set is 6. However, if we replace three 2s with two threes, the new set becomes {3, 3}, and its sum is 6, which is different from the original sum. Hence, replacing a set of three 2s with a set of two threes does change the sum. An integer is a  whole number that can be positive, negative, or zero. Integers are numbers that don't have any fractional or decimal component. Some examples of integers are: -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, and so on. The set of integers is denoted by the symbol "Z", which stands for Zahlen, the German word for "numbers". Integers are an important mathematical concept used in many branches of mathematics and science, including algebra, number theory, and computer science.

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Complete Question

In any set of positive integers the replacement of a set of three 2s with a set of two threes will not change the sum" State whether the statement was correct or incorrect.

The inequality 26/9 > x represents a line with an open circle at 26/9 going toward positive infinity represented by an arrow.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, An inequality [tex]2\frac{8}{9} > x[/tex].

26/9 > x.

Now, As the inequality is strictly greater than 26/9 it would be represented by a line open circled at 26/9 and going towards +∞.

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The histogram of the magazine ranks the best paying college degrees in a country is illustrated below.

A histogram is a graphical representation of data that displays the frequency distribution of a set of continuous or discrete data

To construct a histogram, we would first need to determine the range of the data. In this case, the range would be the difference between the highest and lowest starting salaries or mid-career salaries. We would then divide the range into several intervals or "bins" of equal width.

For example, if we use a bin width of $10,000, the first bin would be $40,000-$49,999, the second bin would be $50,000-$59,999, and so on.

We would then count the number of degrees that fall into each bin and plot the counts as bars on a graph, with the bin ranges on the x-axis and the frequency counts on the y-axis. The resulting graph would be a histogram, showing the distribution of the data.

It is important to label the axes of the histogram and include a title that accurately reflects the data being presented.

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Complete Question:

Suppose a magazine ranks the best paying college degrees in a country. The following data show the median starting salary, the mid- career salary, and the percentage increase from starting salary to mid-career salary for the 20 college degrees with the highest mid- career salary.

Degree                     Starting Salary | Mid-Career Salary | % Increase

College Degree A      59,400                     104,000                       75 College Degree B     56,400                      101,000                        79 College Degree C     54,800                      101,000                        84             College Degree D     64,800                      104,000                        60    College Degree E      53,500                       93,400                        75           College Degree F       61,200                       87,700                        43              College Degree G       56,200                      97,700                        74            College Degree H       50,400                      87,000                        73            College Degree I         48,800                     97,800                       100                                College Degree J         60,800                     107,000                      76 College Degree K       47,500                      91,500                              

Frequency 40-49.9

Using a class width of 10, construct a histogram for the percentage increase in the starting salary.

Gloria walked  500500 Miles from nearest bus stop to home.

How to convert yards into miles ?

To convert a yard measurement to a mile measurement, divide the length by the conversion ratio.

Since one mile is equal to 1,760 yards, you can use this simple formula to convert:

miles = yards ÷ 1,760

The length in miles is equal to the yards divided by 1,760.

Given:

Gloria traveled : 888 miles

1 Mile = 1760 yards

880880880 yards = 500500 Miles

So she walked  500500 Miles from nearest bus stop to home.

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Answer:

339.3 cubic m

Step-by-step explanation:

r = Base radius

  = [tex]\frac{Diameter}{2}[/tex]

  = [tex]\frac{6}{2}[/tex] m

Base radius = 3 m

h = Perpendicular height

  = 12 m

Volume of a cylinder: [tex]\pi r^{2} h[/tex]

                                 = [tex]\pi (3 m)^{2} (12 m)[/tex]

                                 = [tex]\pi (108)m^{3}[/tex]

                                 = 339.3 cubic m (Rounded to the nearest tenths place)

The 8.4% compounded quarterly is the better investment because it gives a good return.

Compound interest is “interest-on-interest”, or the ability of a financial instrument to generate earnings on its earnings.  Compound interest, can be calculated using the formula :

[tex]A = P(1 + \frac{r}{n} )^{nt}[/tex]

where A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

(i)S = P

S = P(1.0854) (1.0854)

AP(1) = 1.0846 - 1

AP(1)= 0.08546 or 8.546%

(ii)r = 0.084/4

AP(2) = (1 + 0.084/4)⁴ -1

AP(2) = 1.08688 - 1

AP(2) = 8.668%

The 8.4% compounded quarterly investment is therefore preferable.

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The conclusion is that the bag filling machine appears to be working correctly at this setting.

Based on the information provided, the manufacturer conducted a hypothesis test to determine if the bags are underfilled at the 420 gram setting. The null hypothesis (H0) is that the bags are not underfilled, while the alternative hypothesis (H1) is that the bags are underfilled.

Since the manufacturer failed to reject the null hypothesis at the 0.01 level of significance, this means that there is not enough evidence to support the claim that the bags are underfilled at the 420 gram setting. In other words, the bag filling machine appears to be working correctly at this setting.

It's important to note that the conclusion may change if the sample size or the level of significance is different. Additionally, other factors such as the accuracy of the measuring device used or the consistency of the banana chips themselves may also impact the results.

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The mode of the data set given is 63.

Statistics uses the terms mean, median, and mode to describe central tendency. They each provide information about what value in a data set is conventional or representative of the data set in their own unique ways.

The number that appears the most frequently in a piece of data is the mode. Count the occurrences of each number in the data collection. The figure with the largest total is the mode. More than one mode is acceptable. Additionally, there is no mode if all numbers appear exactly once.

Given that:

62,63,67,66,66,63,62,68,69,65,67,63,64,

By rearrangement, we have:

62, 62, 63, 63, 63, 64, 65, 66, 66, 67, 67, 68, 69

Therefore, the highest occurring number(mode) is 63.

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The area of the composite figure is equal to 254 m² square metres.

The composite figure can be observed to be a vertical rectangle, a square and an horizontal rectangle, so we shall calculate for the areas of the three figures and then add the result to get the total area of the composite figure as follows:

area of the vertical rectangle = 19 m × 7 m

area of the vertical rectangle = 133 m²

area of the square = 5 m × 5 m

area of the square = 25 m²

area of the horizontal rectangle = 16 m × 6 m

area of the horizontal rectangle = 96 m²

total area of the composite figure = 133 m² + 25 m² + 96 m²

total area of the composite figure = 254 m²

Therefore, the area of the composite figure is equal to 254 m² square metres.

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The inverse of f(x) has no restriction on the domain.

The graph of the inverse function is given below.

The inverse equation is [tex]f^{-1}[/tex](x) = x² + 3.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = (x - 3)²

The inverse of f(x).

Step 1:

Make f(x) = y

y = (x - 3)²

Step 2:

Interchange x and y

x = (y - 3)²

Step 3:

Solve for y.

square root on both sides.

x² = y - 3

y = x² + 3

So,

[tex]f^{-1}[/tex](x) = x² + 3.

a)

[tex]f^{-1}[/tex](x) = x² + 3

we see that for any values of x, [tex]f^{-1}[/tex](x) is a function.

So,

There is no restriction on the domain.

b)

The graph is given below.

c)

The inverse equation is

[tex]f^{-1}[/tex](x) = x² + 3.

Thus,

The inverse of f(x) has no restriction on the domain.

The inverse equation is [tex]f^{-1}[/tex](x) = x² + 3.

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