Answer:
B you just multiply the exponents in (w^8)^8
Jamie took 7 maths tests and got a score of 68,71,71,84,53,62 and 67 .What was Jamie's mode score?
is y = 4x*
Proportional or Nonproportional?
Answer:
its proportional
Step-by-step explanation:
because its an even number comign from zero
Answer: not proportional
comparing descriptive statistics for numeric fields within the data is an example of which of the following?
Comparing descriptive statistics for numeric fields within the data is an example of quantitative analysis.
This type of analysis involves the use of numerical data to draw conclusions and make decisions. Descriptive statistics, such as measures of central tendency and variability, provide a summary of the data and can be used to identify patterns or trends. By comparing these statistics across different variables, researchers can gain insights into relationships between variables and make predictions about future outcomes. Overall, quantitative analysis is an important tool for understanding and interpreting complex data sets. Comparing descriptive statistics for numeric fields within the data is an example of "Exploratory Data Analysis (EDA)." EDA involves summarizing, visualizing, and analyzing datasets to extract meaningful insights and understand underlying patterns or trends. This process helps in making informed decisions and supports further statistical or predictive modeling.
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4x^2 -18x-5 factored form by grouping
4x² - 18x - 5 cannot be factored by grouping.
How to factor quadratic equations?Factoring a polynomial involves writing it as a product of two or more polynomials.
In other words, it is a process of finding the factor.
Therefore, let's factor the quadratic equation as follows:
4x² - 18x - 5
Factorization by grouping means that we need to group the terms with common factors before factoring.
The grouping method can be used to factor polynomials whenever a common factor exists between the groupings.
Hence,
4x² - 18x - 5 cannot be factorise by grouping because it has no common factor.
in other word, we cannot, however, use the grouping method to factor 4x² - 18x - 5 because factoring out the GCF from both groupings does not yield a common factor.
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In a sample of 200 people, 150 said they would vote for Davis. What are the odds against Davis winning the election?
The requried odds against Davis winning the election is 0.33 or 33%.
We can find the odds against Davis winning the election by using the formula:
odds against Davis = (number of people not voting for Davis) / (number of people voting for Davis)
Out of the 200 people, 150 said they would vote for Davis. So the number of people not voting for Davis is:
200 - 150 = 50
Therefore, the odds against Davis winning the election are:
odds against Davis = 50 / 150 = 1/3 or 0.33 (rounded to two decimal places)
This means that for every person who thinks Davis will win, there are three people who think he will lose.
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19) It will cost $12.50 per person to make dinner. Write an
inequality that represents the number of people you can make dinner
for if you only have $200 to spend
Answer:
12.50x less than or equal to $200
Step-by-step explanation:
Elevator 1 moved up 12 feet from the ground level.It’s position is labeled as +12. Elevator 2 moved down 7 feet from the ground level. It’s position is labeled as ______.(use the hyphen for negative such as -1)
Answer:
It's labeled as -7.
Answer:
-7
Step-by-step explanation:
the answer is negative 7
There are 18 animals on the Harry's Farm. Some are 2 legged some are 4 legged. If 60 legs are touching the ground, how many of each animal are there
Answer: 10 (2 legged) and 8 (4 legged)
Step-by-step explanation:
Answer:12 4 legged and 6 2 legged animals
Step-by-step explanation:
quick mafs
What is a definition of Domain of a function in math?
Average Cost Graph The total daily cost in dollars) of producing a mountain bikes is given by C(x) = 936 +80+ 0.12 The average cost function C(x) decreases until e = cand increases afterwards. If the goal of the company is to make the mountain bike as affordable as possible, they should target the production level of c mountain bikes daily Find c Round to 2 decimal places. mountain bikes daily
The given function is C(x) = 936 + 80x + 0.12x^2, where x represents the number of mountain bikes produced daily. The average cost function is also given by C(x).
To make the mountain bike as affordable as possible, the company should target a production level of 333.33 mountain bikes daily, where the average cost function is at its minimum. Rounded to 2 decimal places, the answer is
c = 333.33.
First, let's correct the given cost function: C(x) = 936x + 80x^2 + 0.12x^3. Now, we'll use the terms "function," "average," and "increases."
To find the average cost function, we need to divide the total cost function, C(x), by the number of mountain bikes produced daily, x. Let A(x) represent the average cost function:
A(x) = C(x) / x
Now, let's substitute C(x) into this equation:
A(x) = (936x + 80x^2 + 0.12x^3) / x
Simplify by canceling out an x term:
A(x) = 936 + 80x + 0.12x^2
To find the production level c where the average cost function decreases and then increases, we need to find the minimum point on the A(x) curve. To do this, we'll differentiate A(x) with respect to x to obtain the first derivative:
A'(x) = 80 + 0.24x
Now, set the first derivative equal to zero and solve for x:
80 + 0.24x = 0
0.24x = -80
x = c = -80 / 0.24
Round to 2 decimal places:
c ≈ 333.33
So, to make the mountain bike as affordable as possible, the company should target a production level of approximately 333.33 mountain bikes daily.
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A rectangular dog pen has an area of 64xy square units. The width is 4y. Write an expression for the length.
Answer:
An expression for the length is:
\(l=16x\)Step-by-step explanation:
Given
Area of a rectangular dog pen = A = 64xy square units
Width = w = 4y
To determine
The length = l = ?
We know that the area of a rectangular object is
A = l × w
where w is the width and l is the length of the rectangle.
substituting w = 4y and A = 64xy in the equation
\(A=l\times w\)
\(64xy\:=l\times 4y\:\)
\(\:\:l=\frac{64xy\:}{4y\:\:}\)
Divide the numbers: 64/4 = 16
\(l=\frac{16xy}{y}\)
Cancel the common factor: y
\(l=16x\)
Therefore, an expression for the length is:
\(l=16x\)Plss need Help ASAP! :(
Answer:
4 divided by 25 is 0.16
Step-by-step explanation:
Start by setting it up with the divisor 4 on the left side and the dividend 25 on the right side.
The divisor (4) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:
Multiply the divisor by the result in the previous step (4 x 0 = 0) and write that answer below the dividend.
Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.
Move down the 2nd digit of the dividend (5)
The divisor (4) goes into the bottom number (25), 6 time(s). Therefore, put 6 on top:
Multiply the divisor by the result in the previous step (4 x 6 = 24) and write that answer at the bottom:
Subtract the result in the previous step from the number written above it. (25 - 24 = 1) and write the answer at the bottom.
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 25 divided by 4 calculated using Long Division is:
6
1 Remainder
Practice elimination by solving the following systems
-7x-8y=9
-4x+9y=-22
Answer:
multiply the first equation by 4
and second by 7 then just subtract second from first
Olivia's family took a road trip to the Grand Canyon. Olivia fell asleep after they had travelled 243 miles. If the total length of the trip was 900 miles, what percentage of the total trip had they travelled when Olivia fell asleep?
The percentage of the total distance is 73%.
Calculating percentage:In mathematics, the percentage of a number is a ratio expressed as a fraction of 100. The that we use to represent the percentage is the sign “%”. The calculate the percentage of a number we use the following formula.
Percentage% = [ value of number ]/ [Total value ] × 100
Here we have
Olivia fell asleep after they had traveled 243 miles.
The total length of the trip was 900 miles.
The distance that traveled when Olivia fell asleep
= 900 miles - 243 miles
= 657 miles
The percentage of the total trip they traveled when Olivia fell asleep
= (657/900) × 100 = 73%
Therefore,
The percentage of the total distance is 73%.
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teacher: how can we change the base of a logarithm? student:
We can change the base formula by:
logₐ b = logₓ a /logₓ b
OR
logₓ a, logₓ b = logₓ a
The change of base formula is used to change the base of a logarithm. We know that "log" stands for a logarithm of base 10 and "ln" stands for a logarithm of base e. But there is no option to calculate the logarithm of a number with any other bases other than 10 and e.
The change of base formula solves this issue of changing base from e to 10, and from base 10 to e. Also, it is used in solving several logarithms problems.
Base Formula: -
The change of base formula is used to write a logarithm of a number with a given base as the ratio of two logarithms each with the same base that is different from the base of the original logarithm. This is a property of logarithms. You can see the change of base formula here.
Change of base formula
logₐ b = logₓ a /logₓ b
OR
logₓ a, logₓ b = logₓ a
Change of Base Formula
Change of base formula can be represented as follows. Here the base of the given logarithm is also changed to a logarithm with a new base. The basic logarithm with a base is transformed to two logarithms with a new and same base. The change of base formula is:
logₐ b = [logₐ x] / [logₐ y]
In this formula,
The argument of the logarithm in the numerator is the same as the argument of the original logarithm.The argument of the logarithm in the denominator is the same as the base of the original logarithm.The bases of both logarithms of numerator and denominator should be the same and this base can be any positive number other than 1.Change of Base Formula Derivation
Change of base formula derivation can be understood from the following steps. Let us assume that
log ₐ b = p, logₙ a = q, and logₙ b = r.
By converting each of these into exponential form, we get,
a = \(b^{p}\), a = \(x^{q}\), and b = \(n^{r}\)
From the first two equations,
\(x^{q}\) = \(n^{r}\)
Substituting b = \(n^{r}\) (which is from third equation) here,
(\(n^{r}\))\(^{p}\) = \(x^{q}\)
\(n^{r}\))\(^{p}\) = \(x^{q}\)(Using a property of exponents)
p r = q
p = q / r
Substituting the values, we get,
logₐ b = [logₐ x] / [logₐ y]
For Example:
Evaluate the value of log₆₄ 8 using the change of base formula.
Solution:
We will apply the change of base formula (by changing the base to 10). Note that log₁₀ is same as log.
log₆₄ 8 = [log 8] / [log 64]
= [log 8] / [log 82]
= [log 8] / [2 log 8] [∵ log am = m log a]
= 1 / 2
Answer: log₆₄ 8 = 1 / 2
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FOLLOW DIRECTIONS IN THE PICTURE AND ANSWER PLEASE! WILL MARK BRAINLIEST!!
#5: This is a function. It passes the vertical line test.
#6: This is not a function. It does not pass the vertical line test. For example, x=0 has six y-values paired with that one x-value. A function that does not make.
#7: This passes the vertical line test.
how many square inches of paper would you need to cover the entire prism with an area of 120?
You would need 120 square inches of paper to cover an entire prism with an area of 120 square inches.
How to calculate the surface area of a rectangular prism?In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:
SA = 2(WH + LW + LH)
Where:
SA represents the surface area of a rectangular prism.L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.Based on the information provided about the surface area of this rectangular prism, we can reasonably infer and logically deduce that you would need 120 square inches of paper to cover the entire prism.
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HELP HELP HELP PLEASE
I NEED THE ANSWER TO A
55
Step-by-step explanation:
Heyy anybodyy help me please!
Answer: They are both tesselate shapes
Step-by-step explanation: The only shapes that can tesselate are the square, the equilateral triangle, and the hexagon. On this problem, it includes the equilateral triangle and the square, so therefore both of them are able to tesselate
Choose the graph that represents the following set.
the whole numbers greater than 3
Answer:
The last graph or
Graph C
Step-by-step explanation:
The difference of 2 numbers is 20 and their product is 125
Answer:
ans= 25, 5
Step-by-step explanation:
Guess a number that you can the difference as 20 and when you multiply you get 125. For imstance in my case the difference between 25 and 5 is 20 and their product is 125
Answer:
The two numbers are ;
x = 25y = 5I Hope It Helps :)Step-by-step explanation:
\(Let -the -unknown- numbers-be-x-and-y\\x-y =20 (1)\\xy = 125 (2)\\On -equation (1) make-x -the- subject-of-the-formula\\x = 20+y\\Substitute, 20+y in- equation- for x\\y(20+y)=125\\20y +y^{2} =125\\Arrange-in-general-form-of-a-quadratic-equation=\\ax^{2} +bx +c =0\\y^{2} +20y-125=0\\Using -factorization -method\\Find-two-factors- when - added- give +20 and -when- multiplied give-125\\Factors=+25y and -5y\\y^{2} +25y-5y-125=0\\factorize- y -out \\y(y+25)-5(y+25)=0\\(y+25)(y-5)=0\\\)
\((y+25)=0- or -(y-5)=0\\y = 0-25 -or- y = 0+5\\y = -25 , y= 5\\ y- cannot -have- a- negative- value \\y = 5\\substitute 5 for y in equation (1) -or-(2)\\x-y = 20 (10\\x-5 = 20 \\x = 20 +5\\x = 25\)
23. Express the following in the form a+bi. 11^7 − 2^5 + 5 − 11a. 11+8i b. -11+8i c. -11-8i d. -8+11i e. 8+11i
We have the following complex number:
\(11i^7-2i^5+5i-11\)Let's begin by noting how the powers of i work. To begin with, let's remember that
\(i=\sqrt[]{-1}\text{.}\)Knowing that:
\(i^1=i,\)\(i^2=(\sqrt[]{-1})^2=-1,\)\(i^3=i^2\cdot i=-1\cdot i=-i,\)\(i^4=i^2\cdot i^2=(-1)(-1)=1.\)Now, notice that
\(i^5=i^4\cdot i=1\cdot i=i,\)so the powers of i actually repeat after four integers. In other words:
\(i^1=i^5=i^9=i^{13}=\ldots\)\(i^2=i^6=i^{10}=i^{14}=\ldots\)\(i^3=i^7=i^{11}=i^{15}=\ldots\)\(i^4=i^8=i^{12}=i^{16}=\ldots\)This also works the same way for negative powers. Now that we know this, let's focus on the powers of i on the number we were given:
\(i^7=i^3=-i,\)so
\(11i^7=-11i\text{.}\)\(i^5=i,\)so
\(-2i^5=-2i\text{.}\)Putting all of them together:
\(11i^7-2i^5+5i-11=-11i-2i+5i-11=-8i-11=-11-8i\text{.}\)So, the correct answer is option c.
find the critical numbers of the function. (enter your answers as a comma-separated list.) h(x) = sin2 x cos x 0 < x < 2
The critical numbers of the function h(x) = sin2 x cos x on the interval 0 < x < 2 are: 0.955, 1.186
To find the critical numbers follow these steps:
1. Find the derivative of h(x) with respect to x, which is h'(x).
Using the product rule and the chain rule:
h'(x) = (d(sin^2(x))/dx)cos(x) + sin^2(x)(d(cos(x))/dx)
The derivative of sin^2(x) is:
2sin(x)cos(x)
The derivative of cos(x) is:
-sin(x)
So,
h'(x) = (2sin(x)cos(x))cos(x) + sin^2(x)(-sin(x))
h'(x) = 2sin(x)cos^2(x) - sin^3(x)
2. Find the critical points by setting h'(x) equal to zero and solving for x:
0 = 2sin(x)cos^2(x) - sin^3(x)
Factor out sin(x):
0 = sin(x)(2cos^2(x) - sin^2(x))
3. Solve for x within the given interval 0 < x < 2:
sin(x) = 0:
There are no solutions for sin(x) = 0 in the interval 0 < x < 2.
2cos^2(x) - sin^2(x) = 0:
Using the identity sin^2(x) + cos^2(x) = 1, rewrite the equation:
2cos^2(x) - (1 - cos^2(x)) = 0
3cos^2(x) = 1
cos^2(x) = 1/3
cos(x) = ±sqrt(1/3)
The solutions within the given interval are:
x = arccos(±sqrt(1/3))
x ≈ 0.955, 1.186
So, the critical numbers of the function h(x) = sin^2(x)cos(x) for 0 < x < 2 are approximately x = 0.955 and x = 1.186.
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In statistics, the level of measurement is a classification that relates the values that are assigned to variables to each other. In other words, the level of measurement is used to describe information within the values. Psychologist Stanley Smith is known for developing four levels of measurement: nominal, ordinal, interval, and ratio. Distinguish four different levels of measurement and explain each one with a suitable example.
The four levels of measurement in statistics are nominal, ordinal, interval, and ratio.
1. Nominal: The nominal level of measurement involves categorizing data into distinct categories or groups. Examples include gender (male or female), marital status (single, married, divorced), or types of fruits (apple, orange, banana).
2. Ordinal: The ordinal level of measurement allows for ranking or ordering of data based on a specific criterion. Examples include survey ratings (strongly agree, agree, neutral, disagree, strongly disagree) or educational levels (elementary, middle school, high school, college, postgraduate).
3. Interval: The interval level of measurement not only allows for ranking but also quantifies the intervals or differences between values.Examples include temperature measured in Celsius or Fahrenheit, where the intervals between values are equal but zero does not indicate the absence of temperature.
4. Ratio: The ratio level of measurement possesses all the properties of the interval level but also has a true zero point, which indicates the absence of the measured attribute. Examples include height, weight, or income, where zero represents the absence of the attribute and ratios between values are meaningful (e.g., someone twice as tall as another person).
Nominal: The nominal level of measurement involves categorizing data into distinct categories or groups. In this level, data are simply named or labeled without any quantitative value. Examples include gender (male or female), marital status (single, married, divorced), or types of fruits (apple, orange, banana).
Ordinal: The ordinal level of measurement allows for ranking or ordering of data based on a specific criterion. It indicates relative differences between the values but does not quantify the magnitude of those differences. Examples include survey ratings (strongly agree, agree, neutral, disagree, strongly disagree) or educational levels (elementary, middle school, high school, college, postgraduate).
Interval: The interval level of measurement not only allows for ranking but also quantifies the intervals or differences between values. However, it does not have a true zero point. Examples include temperature measured in Celsius or Fahrenheit, where the intervals between values are equal but zero does not indicate the absence of temperature.
Ratio: The ratio level of measurement possesses all the properties of the interval level but also has a true zero point, which indicates the absence of the measured attribute. It allows for comparisons of magnitude and ratios between values. Examples include height, weight, or income, where zero represents the absence of the attribute and ratios between values are meaningful (e.g., someone twice as tall as another person).
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Suppose a simple random sample of size n is obtained from a population whose distribution is skewed right. As the sample size n increases, what happens to the shape of the distribution of the sample mean?.
As the sample size grows, the distribution of the sampled means becomes normally distributed option (C) is correct.
What is simple random sampling?With simple random sampling, each component of the population has an equal chance of being selected for the sample.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
Suppose a simple random sample of size n is obtained from a population whose distribution is skewed right.
As we know, the distribution of sample means will be normally distributed even if the individual samples do not, according to the Central Limit Theorem, if the mean values for increasing sample sizes are determined.
Thus, as the sample size grows, the distribution of the sampled means becomes normally distributed.
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The function f is defined by f(x)=x2e^−x2. At what values of x does f have a relative maximum?
A. -2
B. 0
C. 1 only
D. -1 and 1
Value of x for which defined function f(x) = x²e⁻ˣ² gives the relative maximum value is equal to option D. -1 or 1.
Function 'f' is defined by f(x) = x²e⁻ˣ²
To get the relative maximum value of the function f(x) = x²e⁻ˣ² find the first derivative we have,
f(x) = x²e⁻ˣ²
Apply product rule of derivative :
d/dx ( u × v ) = v du /dx + u dv /dx
f' ( x ) = e⁻ˣ² d/dx (x²) + x² d/dx (e⁻ˣ²)
⇒ f' (x) = 2x e⁻ˣ² - 2x (x² ) ( e⁻ˣ² )
⇒ f' (x) = 2x e⁻ˣ² - 2x³ e⁻ˣ²
⇒ f' (x) = 2x e⁻ˣ²( 1 - x² )
To get the value of x for maximum function f' (x ) = 0 we get,
2x e⁻ˣ²( 1 - x² ) = 0
⇒ 2≠0 or x =0 or e⁻ˣ² ≠ 0 or 1 - x² = 0
⇒ x = 0 or x = ± 1
When
x = 0 ⇒ f(x) = 0
x = 1 ⇒ f(x) = e⁻¹
x = -1 ⇒ f(x) = e⁻¹
x = -1 or 1 represents the relative maximum value of f(x).
Therefore , value of x which represents the relative maximum value of the function f(x) = x²e⁻ˣ² is equal to option D. -1 or 1.
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Find the slope of the line that passes through the points (2, 5) and (-7, -4).
Answer:
1
Step-by-step explanation:
because yes nsnsnsnsnsnsnnsns. nsnsnd
Please help.. I don't understand.. Please show workings
\(answer \\ = £59.25 \\ please \: see \: the \: attached \: picture \: for \: \\ full \: solution \\ hope \: it \: helps\)
Sam decides to build a square garden. if the area of the garden is 9x2 − 24x 16 square feet, what is the length of one side of the garden? (3x 4) feet (3x − 4) feet (4x − 3) feet (4x 3) feet
Using the Factor Theorem, the length of one side of the garden is:
(3x - 4) feet.
What is the Factor Theorem?The Factor Theorem states that a polynomial function with roots \(x_1, x_2, \codts, x_n\) is given by:
\(f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)\)
In which a is the leading coefficient.
The area of a rectangle is given by the multiplication of it's dimensions. In this problem, it is given by:
A = 9x² - 24x + 16.
The root of 9x² - 24x + 16 = 0 is x = 4/3 with multiplicity 2, hence:
\(x_1 = x_2 = \frac{4}{3}\)
Hence the area can be written as:
\(A = 9\left(x - \frac{4}{3}\right) \times \left(x - \frac{4}{3}\right)\)
Then, to find one side:
9(x - 4/3) = 9x - 12 = 3(3x - 4).
Hence (3x - 4) feet is one side.
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There is three-fourths of a shell pile left, and Terrence has sorted four-sixths of it.
How much of the shells did he sort?
twelve twenty-fourths
sixteen-eighteenths
twelve-sixteenths
seven-tenths
Based on the fractional value, the amount of the shells that Terrence sorted is A. twelve twenty-fourths.
What is a fractional value?A fractional value is a value that represents a portion or part of the total value.
Fractional values can be depicted as proper, improper, or complex fractions. They can also be depicted as decimals or percentages.
The remaining quantity of the shell pile = ³/₄
The quantity sorted by Terrence = ⁴/₆
The fractional value sorted by Terrence = (⁴/₆ x ³/₄) = ¹²/₂₄ = 0.5 or 50%
Thus, we can conclude that Terrence sorted 50% or ¹²/₂₄ of the shell pile.
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