olivia can run 100 yards in 15 seconds. what is her speed in miles per hour? round to the nearest whole nimber

If h(x) = 5 + 4f(x) , where f(1) = 5 and f '(1) = 2, The answer is h'(1) = 8.

To find h'(1), we need to use the Chain Rule. The Chain Rule states that if h(x) = f(g(x)), then h'(x) = f'(g(x))g'(x). In this case, h(x) = 5 + 4f(x), so we can rewrite h(x) as h(x) = 5 + 4f(g(x)), where g(x) = x.

Using the Chain Rule, we get:

h'(x) = 0 + 4f'(g(x))g'(x)

Since g(x) = x, g'(x) = 1, so we can simplify h'(x) to:

h'(x) = 4f'(x)

Now we can plug in x = 1 to find h'(1):

h'(1) = 4f'(1)

Since we are given that f '(1) = 2, we can plug that in to find h'(1):

h'(1) = 4(2)

h'(1) = 8

Therefore, the answer is h'(1) = 8.

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a. The probability of a sample having low melanin content (event A) is 0.75.

b. The probability of a sample having high moisture content (event B) is 0.25.c. The probability of a sample having low melanin content given that it has high moisture content (event A | B) is 0.48.d. The probability of a sample having high moisture content given that it has low melanin content (event B | A) is 0.4.

The probabilities, we look at the provided data. Out of the 100 skin samples, 75 samples have low melanin content (event A) and 25 samples have high moisture content (event B). The probability of event A is calculated by dividing the number of samples with low melanin content (45) by the total number of samples (100), resulting in 0.75.

Similarly, the probability of event B is calculated by dividing the number of samples with high moisture content (25) by the total number of samples (100), giving us 0.25.

The probability of event A given event B (P(A | B)), we consider the samples with high moisture content (event B), which is 25. Out of these 25 samples, 12 have low melanin content (event A). So, the probability of event A given event B is obtained by dividing 12 by 25, resulting in 0.48.

The probability of event B given event A (P(B | A)), we focus on the  with low melanin content (event A), which is 75. Among these 75 samples, 30 have high moisture content (event B). Hence, the probability of event B given event A is obtained by dividing 30 by 75, resulting in 0.4.

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its b the answer is b

Answer:

the answer on the B

Step-by-step explanation:

                                       Answer and Explanation

__________________________________________________________

__________________________________________________________

\(5x + x = 222\) In this case, x = 37, and here's why.

\(5\cdot37\) = \(185\) + \(37\) = \(222\)

\(185\) = \(Longer\) \(piece\)

\(37\) = \(Shorter\) \(piece\)

\(Longer\) \(piece\) + \(Shorter\) \(piece\) = \(222\)

\(So\), \(37\) = \(x\).

__________________________________________________________

Hope this helps! <3

__________________________________________________________

Answer:

106 degrees

Step-by-step explanation:

Since all the angles add up to 360 degrees we can find the value of x first and then substitute that value into angle VUX (12x+10)

11x + 1 + 12x + 10 + 75 + 90 = 360

23x + 176 = 360

23x = 184

x = 8

when x = 8,

<VUX = 12x + 10 = 12(8) + 10 = 106 degrees

Answer:

∠VUX = 106º

Step-by-step explanation:

Once the Quadrilateral add up to 360,

\(360\º=90\º+11x+1+75\º+12x+10\\360\º=176\º+23x\\8\º=x\)

The measure of ∠VUX is \(12x+10\)

Once \(x=8\º\)

\(12(8)+10\\106\)

Answer:

22

Step-by-step explanation:

Using a moving average of order p = 3, a forecast for time period 6 is 46.

The moving average is a mathematical method for calculating a series of averages using various subsets of the full dataset. It is also known as a rolling average or a running average. The moving average smoothes the underlying data and lowers the noise level, allowing us to visualize the underlying patterns and patterns more readily. In other words, a moving average is a mathematical calculation that employs the average of a subset of data at various time intervals to determine trends, eliminate noise, and better forecast future outcomes. Answer: 46.

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Answer:

2 x ^2 − 2 x + 4 = 0

x ^2 − 2 x + 4 = 0

2 x ^2 − x = 0

Step-by-step explanation:

The dilation of the triangle is illustrated below.

Resizing an object uses a transformation called dilation. Dilation is used to enlarge or contract the objects. The result of this transformation is an image that retains the original shape.

The image's size will depend on the scale factor, which is used to dilate a mathematical object. See the diagram below. We end up with a triangle where the sides are 3/2 = 1.5 times longer compared to the original diagram.

Because segment AC is going through P (center of dilation), this means that segment A'C' will also go through P. Furthermore, it means AC and A'C' overlap. However, as mentioned earlier, A'C' is 1.5 times longer than AC.

Another thing to note is that line BC is parallel to line B'C', and line AB is parallel to A'B'.

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The answer to the given question is 111.

The complete question might be as follows:

I thought of a 3 digit number. Each digit is the square of the digit to the right. What is my number?

= x*100 + y*10 + z.

Requirements:

y = z^2

x = y^2.

Now we shall start to give values to z. Let us start with zero.

Hence, for the question: I thought of a 3 digit number. Each digit is the square of the digit to the right. What is my number? The answer is 111, because the 3 digit number that would fit the requirements mentioned is only 111.

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In the given regression equation, the slope of the line is - 1.23.

Regression equation:

in statistics, regression equation means the mathematical expression of the relationship between a dependent variable and one or more independent variables that results from conducting a regression analysis.

Given,

The average August temperatures (y) and geographic latitudes (x) of 12 cities in the United States were studied. The regression equation for these data is Temperature 90.4 -1.23*(latitude)

Here we need to the slope of the line.

While we looking into the given regression equation,

Temperature = 90.4 - 1.23x(latitude)

While we compare this one with the general slope of the line equation,

y = mx + c

where m refers the slope of the line.

Then we get the value of slope as -1.23.

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Answer:

?

Step-by-step explanation:

Answer:

what does this even mean

Step-by-step explanation:

Answer:

First, we need to determine how many pounds of food the ocicat eats in a week. There are 7 days in a week, so the ocicat eats $\frac 35$ pounds/day * 7 days/week = $\frac{7}{5}$ pounds/week.

Next, we need to divide the total amount of food in the bag by the amount of food that the ocicat eats in a week to determine how many weeks the bag of food will last. The bag of food weighs 19 1/2 pounds, so it will last for a total of 19 $1/2 pounds / $7/5 pounds/week = $33/7 weeks.

Finally, we need to divide the total number of weeks that the bag of food will last by the number of ocicats that the food will feed to determine how many ocicats the bag of food will feed for one week. The bag of food will feed $33/7 weeks / 1 week/ocicat = $33/7 ocicats.

Therefore, the 19 $1/2-pound bag of food will feed $33/7 ocicats for one week.

Step-by-step explanation:

There are 239 numbers greater than 4,000,000 that can be formed by arranging the digits 1, 2, 2, 5, 6, 6, and 6. The number of distinct numbers greater than 4,000,000 that can be formed by arranging the digits 1, 2, 2, 5, 6, 6, and 6 is 6.

To find the number of distinct numbers greater than 4,000,000 that can be formed, we need to consider the possible arrangements of the given digits.

Since the number must be greater than 4,000,000, the first digit must be either 5 or 6. If we choose 5 as the first digit, the remaining digits can be arranged in 6!/3! ways, where 6 is the total number of digits and 3 is the frequency of digit 6. This gives us 6×5×4 = 120 arrangements.

If we choose 6 as the first digit, the remaining digits can also be arranged in 6!/3! ways, resulting in another 120 arrangements. Therefore, the total number of distinct numbers greater than 4,000,000 that can be formed is 120 + 120 = 240.

However, we have counted the arrangement 666,665 twice (once when starting with 5 and once when starting with 6), so we need to subtract 1 from the total count. Hence, the final answer is 240 - 1 = 239.

In conclusion, there are 239 numbers greater than 4,000,000 that can be formed by arranging the digits 1, 2, 2, 5, 6, 6, and 6.

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Answer:

Step-by-step explanation:

–10.5 < 3a ⇒ -3.5 < a ⇒ a > -3.5

b/6 ≤ 7 ⇒ b ≤ 42

–4.5c > 9 ⇒ c < - 2

–21/5 ≤ –5/2d ⇒ (-21/5)*(-2/5) ≥ d ⇒ d ≤ 42/25

The geometric mean is used to determine the average annual percent increase, as it accurately accounts for compounding growth over multiple periods. The correct option is E.

The measure of central tendency that is typically used to determine the average annual percent increase is the arithmetic mean. This measure takes the sum of all the values and divides it by the total number of values.

It is important to note that other measures, such as the geometric mean, can also be used in certain situations. But for most cases, the arithmetic mean is the go-to measure for determining the average annual percent increase.

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A process is a sequence of events that transforms inputs into outputs, and control charts are a quality management tool for determining if the results of a process are within acceptable limits.

Control charts monitor the performance of a process to detect whether it is functioning correctly and to keep track of variations in process data.In the given scenario, we have to find the percentage of the product that is out of specification, we can use the following formula to calculate the percentage of product out of specification:Z= (X - μ)/σWhere X is the process measurement, μ is the mean, and σ is the standard deviation.The Z score helps us calculate the probability that a value is outside the specification limits.

It also helps to identify the percent of non-conforming products. When a value is outside the specification limits, it is considered non-conforming. When the Z score is greater than or equal to 3 or less than or equal to -3, the value is outside the specification limits. We can calculate the Z score using the given formulae and then use the Z-table to find the percentage of non-conforming products.Z_upper= (USL - μ)/σ = (1.24 - 1.20)/0.02 = 2Z_lower = (LSL - μ)/σ = (1.17 - 1.20)/0.02 = -1.5The Z_upper score of 2 means that the non-conformance percentage is 2.28%.Z table is used to find the probability of a value falling between two points on a normal distribution curve. The table can be used to determine the percentage of non-conforming products. For a Z score of 2, the probability is 0.4772 or 47.72% .The non-conforming percentage is 100% - 47.72% = 52.28%.Hence, the percentage of product out of specification is 52.28%.

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Given the following data:μ = 1.20Standard deviation = 0.02Upper specification limit = 1.24Lower specification limit = 1.17The Z-score is calculated as follows:z=(x-μ)/σThe Z-score of the upper specification limit is (1.24-1.20)/0.02=2.0The Z-score of the lower specification limit is (1.17-1.20)/0.02=-1.5

The percentage of product out of specification is the sum of areas to the left of -1.5 and to the right of 2.0 in the normal distribution curve.We can calculate this using a standard normal distribution table or calculator.Using the calculator, we get:

P(z < -1.5) = 0.0668P(z > 2.0) = 0.0228The total percentage of product out of specification is:P(z < -1.5) + P(z > 2.0) = 0.0668 + 0.0228 = 0.0896 = 8.96%Therefore, the percentage of product that is out of specification is approximately 8.96%.

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Answer:

10%

-0.1

1/4

Step-by-step explanation:

Complete question

Consider these numbers, ordered from least to greatest. Negative 1.8, negative 1 and one-fourth, negative 0.2, blank, one-half, 90 percent A number line going from negative 2 to positive 1. Which values could correctly fill in the blank? Select all that apply. 10% 1 -0.1 -1 One-fourth

step-by-step explanation

On the number line, numbers increase from left to right.

The blank is between -0.2 and 1/2.

Only numbers greater than -0.2 and less than 1/2 can fill the blank.

Range = -0.2<x<1/2

From the values given,

1) 10% = 10/100 = 1/10 = 0.1

-0.2<0.1<1/2

2) -0.2<1

But, 1>1/2

3) -0.2<-0.1<1/2

4) -0.2>-1

5) -0.2<1/4<1/2

Therefore, only 10%, -0.1, and 1/4 can fill in the blank correctly because they satisfy the range -0.2<x<1/2

Answer:

A

C

E

THE ANSWER BOIIIIIIIIIIIIIIIIIIIIIII!

Step-by-step explanation:

Brett's claim that AABC is congruent or similar to ADEF is false

Congruence of Triangles: Two triangles are said to be congruent if all three corresponding sides are equal and all  three corresponding angles are equal.

From the given information, we can see that both AABC and ADEF are right triangles because they have one angle that is 90 degrees.  

However, we cannot conclude that AABC and ADEF are congruent (that is, identical in size and shape) because there is not enough information to determine their side lengths and the remaining angles.

Also, we  cannot conclude that AABC and ADEF are similar (ie have the same shape but possibly different sizes) because we only know one pair of corresponding angles (ie right angles) and one pair of corresponding sides (ie AC and DF), which  not enough to show similarity.  Therefore, Brett's claim that AABC is congruent or similar to ADEF is false, and we cannot conclude that AABC-ADEF (ie the difference between these two triangles) is a triangle with well-defined sides and angles.

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Sport stars play a vital role in the entertainment value of contemporary sports, captivating audiences and sustaining relevance.

The course topic chosen is "Sport Stars as Entertainers". In the realm of contemporary sports, it is often argued that for a sport to remain relevant, it must be entertaining. This viewpoint emphasizes the role of sport stars in captivating audiences and sustaining interest in the sport. Let's analyze this perspective through two sporting examples: basketball and soccer.

In basketball, players like Michael Jordan and LeBron James have not only displayed exceptional athletic abilities but also entertained fans with their captivating performances. Their gravity-defying dunks, breathtaking passes, and clutch performances have elevated the sport's entertainment value and made it globally popular.

Similarly, in soccer, players like Cristiano Ronaldo and Lionel Messi have not only showcased extraordinary skills but also mesmerized fans with their creativity, agility, and goal-scoring prowess. Their individual brilliance and intense rivalry have heightened the entertainment factor in the sport, drawing millions of viewers worldwide.

These examples illustrate how sport stars play a crucial role in making their respective sports entertaining. Their exceptional talents, competitive spirit, and ability to deliver extraordinary performances enhance the overall appeal and keep the sports relevant in the contemporary landscape.

In conclusion, sport stars as entertainers have a significant impact on the relevance of contemporary sports. Their charisma, skills, and captivating performances contribute to the entertainment factor, attracting and retaining fans' interest.

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Answer: 17 red , 68 blue

Step-by-step explanation:

85 divided by 5=17

1/5 of 85=17

17x4=68

4/5 of 85=68

(1). The ratio of red tiles to blue tiles is \(\frac{1}{4}\)

(2). The number of blue tiles are 68.

It is given that,

A path is made by red and blue tiles and \(\frac{1}{5}\) part of tiles are red.

So that,

 Blue tiles\(=1-\frac{1}{5} =\frac{4}{5}\) parts.

The ratio of red tiles to blue tiles in its simplest form,

                \(\frac{Red}{Blue}=\frac{1}{5}*\frac{5}{4} \\\\\frac{Red}{Blue}=\frac{1}{4}\)

Since, total number of tiles are 85.

 Number of blue tiles\(=\frac{4}{5} *85=68\)

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Considering the absolute value function, the correct statement is given by:

|-53| = |53|.

The absolute function is defined by:

It measures the distance of a point x to the origin. For this problem, we have that:

Thus, the correct statement is given by:

|-53| = |53|.

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Answer:

157 - 70x

 —————————

     5    

Step-by-step explanation:

Answer:

31.4 - 14x

Step-by-step explanation:

4(5.8 - 9x) = 23.2 - 36x

23.2 - 36x + 8.2 + 22x

23.2 + 8.2 - 36x + 22x

only add/subtract LIKE terms

31.4 - 14x

Answer:

D. (f + g)(x) = -2x² - 2x + 8

Step-by-step explanation:

Given:

Find (f + g)(x):

⇒ \(f(x) + f(g)\)

⇒ \(3x + 5 + ( -2x^{2} - 5x + 3 )\)

⇒ \(3x + 5 - 2x^{2} - 5x + 3\)

Combine like terms:

⇒ \(-2x^{2} + 3x - 5x + 5 + 3\)

⇒ \(-2x^{2} - 2x + 8\)

Answer: D. (f + g)(x) = -2x² - 2x + 8

does the x go on the ouside or the inside

Answer: x=11

Step-by-step explanation:

The equation of the least-squares regression line Volume = -0.013 + 0.262(Time)

From the question, we have the following parameters that can be used in our computation:

The regresion analysis of volume versus time

The equation of the least-squares regression line is represented as

Volume = b₀ + b₁(Time)

Where

b₀ = Constant = -0.013

b₁ = Time³ = 0.262

Substitute the known values in the above equation, so, we have the following representation

Volume = -0.013 + 0.262(Time)

Hence, the equation is Volume = -0.013 + 0.262(Time)

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Answer:

between 49-55.

The slope of the ideal vector, determined by examining the coefficients of the variables in the regression equation is:

Cleaning Ability: 2.3

Cost: 1.0

Disinfecting Ability: 0.6.

In this case, the regression equation is:

Overall Preference = -2.1 + 2.3 * Cleaning Ability + 1.0 * Cost + 0.6 * Disinfecting Ability

The coefficients of the variables represent the weights or importance assigned to each variable in determining the overall preference. Therefore, the slope of the ideal vector would be the coefficients of the variables in the regression equation.

Based on the given regression equation, the slope of the ideal vector would be:

Cleaning Ability: 2.3

Cost: 1.0

Disinfecting Ability: 0.6

These values indicate the relative importance or impact of each variable on the overall preference for Slippery Soap.

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17 out of 25 problems were word problems, resulting in 68% of the problems being word problems.

To find the percentage of word problems on the math test, we need to determine the ratio of the number of word problems to the total number of problems and express it as a percentage.

Given that there were 17 word problems out of 25 total problems, we can set up the following ratio:

Word Problems/Total Problems = 17/25

To convert this ratio to a percentage, we can multiply by 100:

(17/25) * 100 = 68%

Therefore, 68% of the problems on the math test were word problems.

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