If a person walks 1/4 mile in 10 minutes, how far will that person walk in one hour?

Answer:

The actual dimensions of the kitchen are  12 feet by 14  feet

Step-by-step explanation:

The kitchen's real measurements are 12 feet by 14 feet.

Detailed explanation:

4 / 0.8 = 5, 7 / 1.4 = 5. The actual drawing ratio is a 5:1 ratio.

Consequently, 2.4 inches multiplied by 5 is 12 feet and 2.8 inches multiplied by 5 equals 14 feet.

12 ft. x 14 ft.

Find the scale of the drawing

\(\frac{0.8}{4} \frac{in}{ft.} = \frac{1.4}{7} = 0.2 \frac{in}{ft.}\)

To determine the precise dimensions subtract 0.2 from the measurements on the scale illustration to get 12 feet (2.4/0.2).

2.8/0.2 = 14 ft

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Answer:

y=1/4x+3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-2)/(12-(-4))=4/(12+4)=4/16=1/4

y-y1=m(x-x1)

y-2=1/4(x-(-4))

y-2=1/4(x+4)

y=1/4x+4/4+2

y=1/4x+1+2

y=1/4x+3

The equivalent value of the exponential equation is A = 6 x 10⁷

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

A = 6 x 10⁷

A = a x 10ᵇ

In this case, the decimal number a is 6, and the integer b is 7

Therefore, the equivalent value of the exponential equation A = 6 x 10⁷ in standard form is A = 6,000,000

On simplifying the exponents , we get

A = 60,000,000

Hence , the exponential equation is A = 6 x 10⁷

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Alicia want that 50 % of all people who visited one of the three coffee shops should visit her every week.

Total visitors to the other two coffee shops during one week = 840+1,220 i.e. 2,060

Total visits to Cool Beans should be 50 % of total visits i.e. equal to visits of the other two cafes combined

Visits to Cool Beans should be 2,060

Current Visits =548

Additional visits =2,060-548 i.e. 1,512 visits

Note for better understanding:

same or the demand of coffee will remain same, then the Additional people will be calculated as:

Total number of visits = 584+840+1,220  i.e. 2,608

Target number of visits =50 % of total visits i.e. 1,304 visit

Additional visits = 1,304-548 = 756 visits

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That a full cut round brilliant diamond with a 6.50 mm girdle diameter typically weighs around 1.00 carat.

carat weight is determined by a combination of a diamond's size and density. A diamond's size is measured by its diameter, which is the distance across the widest part of the diamond, known as the girdle. Therefore, a diamond with a larger girdle diameter will generally weigh more than a diamond with a smaller diameter, assuming all other factors are equal.

the weight of a diamond can be estimated based on its girdle diameter, and a full-cut round brilliant diamond with a 6.50 mm girdle diameter typically weighs around 1.00 carat. However, it's important to note that other factors, such as depth, cut, and clarity, can also affect a diamond's weight and value.

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Answer:

A

Step-by-step explanation:

Here, we want to select which of the options is greater than Ryan’s decimal but less than Sarah’s

Ryan shades 70 out of 100 so his decimal will be 70/100 = 0.7

Sarah shades 80 out of 100, so his decimal will be 80/100 = 0.8

So we want a decimal greater than Ryan’s but less than Sarah’s

Let’s take a look at the options

The first option would be 70/100 = 0.7 + 4/100 = 0.7 + 0.04 = 0.74

We can see that this is greater than 0.7 but less than 0.8

So, this is our answer

=-09i8u9yh8guvyh bcnvjhulygtfrdsezawDFxcghjiuhygtfyhvbjkliouyggvbjhkio;uytfrderswaqwszedrtfyguhiiio

The degrees of freedom associated with a pooled-variance two-sample t-test or confidence interval in the given case would be 48.

When a pooled-variance two-sample t-test or confidence interval is to be conducted on two groups, the degrees of freedom is calculated using the following formula: df = n1 + n2 - 2, where n1 and n2 are the sample sizes of the two groups being compared.

In the given scenario, data is collected from 20 random luxury hotels in New York and 30 random luxury hotels in Los Angeles. Therefore, the degrees of freedom for a pooled-variance two-sample t-test or confidence interval would be:df = 20 + 30 - 2df = 48. Hence, the degrees of freedom associated with a pooled-variance two-sample t-test or confidence interval are 48.

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Answer:

Step-by-step explanation:

The implied utilization of the resources in the process can be calculated by dividing the demand rate by the total capacity of the resources. In this case, the total capacity is 1.1 + 0.93 = 2.03 clients per hour. Therefore, the implied utilization is 0.75 / 2.03 = 0.369 (or 36.9%).

The implied utilization represents the proportion of the available capacity that is being utilized to meet the demand. In this scenario, approximately 36.9% of the total capacity is being utilized to serve the clients. This indicates that there is still some unused capacity available in the process.

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The probability that the apple price is less than or equal to $5.99 per lb is 0.5

The average price of apples = $5.99 per lb

The standard deviation of the apples = $2.99 per lb

The probability that the apple price is less than or equal to $5.99 per lb can be calculated using the normal distribution method

P(x ≤ 5.99)

The standard form of the given random sample can be found using the formula,

Z = (X - μ) ÷ σ

where Z is the standard score

X is the random sample

μ is the mean

σ is the standard deviation.

For x - 5.99,

Z = (5.99 - 5.99) ÷ 2.99

= 0 ÷ 2.99

Z  = 0

Therefore, by standardizing the random sample, we get

P(x ≤ 5.99) = P( z ≤ 0)

By using the z-table, we get the value of z

P(z ≤ 0) = 0.5

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Answer:

-5

Step-by-step explanation:

5 inches below ground. assuming ground is 0, then it would be -5

The 5 inches below the line on the number line is represented by -5.

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R."

It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

Given that the height below the ground is represented by the number line. The below measurement is represented by the negative numbers. The height of 5 inches will be represented by -5 below the ground.

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If f (x) < g(x) for all real 1; The expression that must be true is I f'(x)sg'(x) for all real x II. f'(x)≤g'(x) for all real x III. f(x)dx ≤ [8(x)dx is option D. I and II only

I. f(x) and g(x) have continuous first and second derivatives everywhere, so by the mean value theorem, there exists a point c in the interval (a, b) such that f'(c) = (f(b) - f(a)) / (b - a) and g'(c) = (g(b) - g(a)) / (b - a). Since f(x) < g(x) for all x, we have f(b) - f(a) < g(b) - g(a), so f'(c) < g'(c), and thus, f'(x) < g'(x) for all x.

II. f(x) and g(x) have continuous first and second derivatives everywhere, so by the mean value theorem, there exists a point c in the interval (a, b) such that f''(c) = (f'(b) - f'(a)) / (b - a) and g''(c) = (g'(b) - g'(a)) / (b - a). Since f'(x) < g'(x) for all x, we have f'(b) - f'(a) < g'(b) - g'(a), so f''(c) < g''(c), and thus, f''(x) < g''(x) for all x.

III. This statement is not necessarily true. The definite integral of f(x)dx is equal to the area between the curve and the x-axis, and the definite integral of g(x)dx is equal to the area between the curve and the x-axis. The definite integral of a function does not depend on the value of the function at each point, but on the overall shape of the curve, so it is not guaranteed that f(x)dx ≤ g(x)dx just because f(x) < g(x) for all x.

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The complete question goes thus:

Let f and g have continuous first and second derivatives everywhere. If f (x) < g(x) for all real 1; which of the following must be true? I f'(x)sg'(x) for all real x II. f'(x)≤g'(x) for all real x

III. f(x)dx ≤ [8(x)dx

(A) None

(B) I only

(C) III only

(D) I and II only

(E) I, II, and III

Answer:

3 hours

Step-by-step explanation:

If pay is for full quarter hours, then the worker won't get paid for work intervals of less than 15 minutes.

Subtract 7:34 from 11:48:  we get 3:14 hours.  Because the 14 minutes is less than the 15 minutes of a full quarter hour, the worker won't get paid for those 14 minutes.  

So the 'number of hours worked' is 3 hours.

Note that 3:14 would be 3 hours 14 minutes.

When a relationship is plotted on a graph, a linear relationship results in a straight line; a nonlinear relationship, on the other hand, results in a curve.

There are a total of four components in a time series model.

Trend, Seasonal, Cyclical, and Error.

Seasonal Component is a wavelike pattern that is repeated throughout a time series and has a recurrence period of at most one year.

Cyclical Component is a wavelike pattern within the time series that repeats itself throughout the time series and has a recurrence period of more than one year.

Error Term represents the changes in time series data that are unpredictable and can't be associated with a seasonal , cyclical component.

Trend Component is the long-term increase or decrease in a variable being measured over time.

When a relationship is plotted on a graph, a linear relationship results in a straight line; a nonlinear relationship, on the other hand, results in a curve.

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Let the first term be a

Given, a = -5

d = 10

So, we need to find next three terms i.e. second, third and fourth terms.

\(Using \: formula \: = > a_{n} = a + (n - 1)d\)

\(a _{2} = - 5 + (2 - 1)10 \\ = - 5 + 10 = 5 \\ a _{3} = - 5 + (3 - 1)10 \\ = - 5 + 20 = 15 \\ a _{4} = - 5 + (4- 1)10 \\ = - 5 + 30= 25 \)

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The first term of a sequence is -5, and the common difference is 10. What are the next three terms?

Given,

a = -5

d = 10

• Formula used = a + (n - 1)d

The next three terms are as follows :

• -5 + (2-1)10 = -5 + (20 - 10) = 5

• -5 + (3-1)10 = -5 + (30 - 10) = 15

• -5 + (4-1)10 = -5 + (40 - 10) = 25

~ Hence the next three terms are 5 , 15 and 25.

To find the 70th percentile we look for the z value that gives the following probability:

Looking at the standard normal distribution table we notice that this probability happens when:

Then we need the z score to be 0.5244 .Now that we know this we use its definition to find the value of x that gives this z score:

Therefore, the 70th percentile is 287.45

Answer:

Step-by-step explanation:

Answer:

\(x=-1\)

Step-by-step explanation:

\(5x-4x+2=1\)

Step 1: Simplify both sides of the equation.

\(5x-4x+2=1\)

\(5x+-4x+2=1\)

\((5x+-4x)+(2)=1\) (Combine Like Terms)

\(x+2=1\)

\(x+2=1\)

Step 2: Subtract 2 from both sides.

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

\(x=-1\)

Therefore, \(x=-1\) will be your final answer.

Answer: Z<4

Step-by-step explanation:

Rearrange the equation

-3(z-6) - (2z-2)>0

-3z+18-2z+2>0

-5z +20>0

-5(z-4)>0

divide  both side by -5

z-4<0

z<4

Approximately 68.3% of passenger vehicles travel slower than 80 miles/hour.

Answer:

the mean absolute deviation for the given data set is 1.86.

Step-by-step explanation:

To find the mean absolute deviation, we first need to find the mean of the data set.

Mean = (1.25 + 3.50 + 2.55 + 8.20 + 4.80 + 0.30 + 0.75 + 2.25) / 8 = 3.07

Next, we find the absolute deviation of each data point from the mean by subtracting the mean from each data point and taking the absolute value:

|1.25 - 3.07| = 1.82

|3.50 - 3.07| = 0.43

|2.55 - 3.07| = 0.52

|8.20 - 3.07| = 5.13

|4.80 - 3.07| = 1.73

|0.30 - 3.07| = 2.77

|0.75 - 3.07| = 2.32

|2.25 - 3.07| = 0.82

Then, we find the mean of these absolute deviations:

Mean absolute deviation = (1.82 + 0.43 + 0.52 + 5.13 + 1.73 + 2.77 + 2.32 + 0.82) / 8

Mean absolute deviation = 1.86

Therefore, the mean absolute deviation for the given data set is 1.86.

Answer:

2/1

Step-by-step explanation:

x1=1 ,y1=3

x2=2 , y2=5

then

m= 5-3/2-1= 2/1

Answer:

10b=60 is correct

Step-by-step explanation:

Answer:

x= 4 and y=7

Step-by-step explanation:

Bellow is the graph of the two systems, you can find the coordinates (4,7) were they intersect.

Because of this the two equations are true

7= 4+3 (True)

Option (A): "As the degrees of freedom increases the shape of the Chi-Square Distribution becomes more skewed" is a false statement.

Now, amongst the considered options, "As the degrees of freedom increases the shape of the Chi-Square Distribution becomes more skewed." (Option A) is not true, because:

As the degrees of freedom increases, the shape of the Chi-Square Distribution approaches a normal distribution and the graph of the Chi-Square Distribution looks more symmetrical.

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The population in this scenario is all the students at UCLA.

In this case, the population refers to the entire group of individuals that Bob wanted to study, which is all the students at UCLA. The population represents the larger group from which the sample is drawn. The goal of the study is to investigate levels of homesickness among college students at UCLA.

Bob conducted a random sample by selecting 200 students out of the entire student population at UCLA. This sampling method aims to ensure that each student in the population has an equal chance of being included in the study. By surveying a subset of the population, Bob can gather information about the levels of homesickness within that sample.

To calculate the sampling proportion, we divide the size of the sample (200) by the size of the population (total number of students at UCLA). However, without the specific information about the total number of students at UCLA, we cannot provide an exact calculation.

By surveying a representative sample of 200 students out of all the students at UCLA, Bob can make inferences about the larger population's levels of homesickness. The results obtained from the sample can provide insights into the overall patterns and tendencies within the population, allowing for generalizations to be made with a certain level of confidence.

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Sharon offered to pay 1/3 of the total cost.

Total cost = $46

1/3 of $46 = \( \frac{1}{3} \times 46 = 15.33 \: (approx.)\)

Sharon paid $15.33

The probability that exactly 2 out of 4 rocks selected at random from the shipment are sedimentary is approximately 0.284.

To find the probability that exactly 2 out of 4 rocks selected at random are sedimentary, we can use the concept of combinations.

The total number of ways to select 4 rocks out of the 23 rocks in the shipment is given by the combination formula: C(23, 4) = 23! / (4! * (23-4)!) = 1771.

Now, let's calculate the number of ways to select exactly 2 sedimentary rocks out of the 7 sedimentary rocks available: C(7, 2) = 7! / (2! * (7-2)!) = 21.

Next, we need to calculate the number of ways to select the remaining 2 rocks from the 16 non-sedimentary rocks (9 igneous + 7 metamorphic): C(16, 2) = 16! / (2! * (16-2)!) = 120.

The probability that exactly 2 rocks are sedimentary is the ratio of the number of favorable outcomes (21 * 120) to the total number of possible outcomes (1771): (21 * 120) / 1771 ≈ 0.284

In conclusion, the probability that exactly 2 out of 4 rocks selected at random from the shipment are sedimentary is approximately 0.284.

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Answer: The number 26.5 in the equation represents the average number of pounds that a puppy weighs at 12 weeks of age.

To find the weight of a puppy at 20 weeks of age, we can substitute x = 20 into the equation:

y = 2.5x + 26.5

y = 2.5(20) + 26.5

y = 50 + 26.5

y = 76.5

Therefore, a puppy weighs approximately 76.5 pounds at 20 weeks of age.

The equation y = 2.5x + 26.5 represents a linear relationship between the number of weeks after a puppy's weight is first recorded and the puppy's weight in pounds. Since the coefficient of x is positive, this means that a puppy's weight increases over time. Specifically, the weight increases by 2.5 pounds for each additional week.

However, the equation does not tell us whether a puppy's weight increases during each of the 8 weeks. To determine this, we would need additional information such as the weights of the puppies at different points in time over the 8-week period.

Step-by-step explanation:

Answer:

Identifying any relative maximums

10,-9,1,3.7,10

Hope it's answer

mark as Brainlist and THANKS

Step-by-step explanation:

Answer: 1.792 hours

Step-by-step explanation:  miles per hour (miles/hour) will be abbreviated as "mph."

1.   Run:  (2.5 miles)/(6mph) = 0.4166 hours

2.  Hang Out:  0.75 hour

3.  Walk:  (2.5 miles/4mph) = 0.625 hours

Total = 0.4166 hour + 0.75 hour + 0.625 hour

Total = 1.792 hours