Solve for the following word problems

1) A car travels 275 miles in 5 hours. How far will it travel in 12 hours at the same speed?
2) it has been found out that a watch gain 2 minutes in 8 hours. how much will it gain 3 days?
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Answer:

Plots that can detect violations in regression assumptions, while response plots help analyse the relationship between the response variable and predictors are Residual plots and scatterplot matrix.

Step-by-step explanation:

There are several graphical plots commonly used to detect violations of regression model assumptions and analyze estimated regression models. Here are a few examples:

Residual plot: A residual plot shows the difference between the observed values of the response variable and the predicted values from the regression model. Patterns in the residuals, such as nonlinearity, heteroscedasticity (unequal variances), or outliers, can indicate violations of assumptions.

Response plot: This plot examines the relationship between the response variable and one of the predictor variables while holding other predictors constant. It helps identify nonlinearity or other issues in the relationship between the response and predictors.

Scatterplot matrix: A scatterplot matrix displays scatterplots between pairs of predictor variables. It can help detect issues like perfect multicollinearity, which occurs when two or more predictors are highly correlated, leading to problems in estimating the regression coefficients.

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Answer:

C

Step-by-step explanation:

use 0 and 3 for example:

replace x with 0 give you 2*0=0

add 0 with 3 and you get 3

The correct answer is c. Line graphs show the change in one or more variables progressively across time.

Histograms show the distribution of data, pie charts show the proportions of a whole, bar charts compare categories or groups, and diagrams show the relationships between different elements.

The correct answer is c. Line graphs show the change in one or more variables progressively across time

A histogram is a visual depiction of data distribution in statistics. The histogram is shown as a collection of neighbouring rectangles, where each bar represents a certain type of data. Numerous fields use statistics, which is a branch of mathematics. Frequency, which can be expressed as a table and is known as a frequency distribution, is the repeating of numbers in statistical data.

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Line graphs show the change in one or more variables progressively across time. C

A line graph is a type of chart that displays data as a series of data points connected by straight lines.

The horizontal axis of the graph typically represents time, while the vertical axis represents the value of the variable being measured.

By connecting the data points with lines, a line graph can show the trend or pattern of change in the variable over time.

Line graphs are commonly used in fields such as economics, finance, and science to visualize trends in data over time.

They can be used to identify patterns, compare different variables, or forecast future trends.

In contrast, histograms, pie charts, bar charts, and diagrams are different types of charts that are used to display data in different ways.

Histograms are used to show the distribution of data within a single variable, while pie charts and bar charts are used to compare different categories or groups of data.

Diagrams are used to represent complex systems or relationships, often using visual symbols or icons to represent different components.

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Answer:

15%

Step-by-step explanation:

3÷20=0.15

0.15×100=15

Answer:

c

Step-by-step explanation:

I think so I might not be right but I'm sure it's c

Answer:

y = x^58/5

Step-by-step explanation:

Nothing further can be done with this topic. just remove the parentheses and it becomes x^58 and u cannot dive because they’re like terms

Answer:

4/5

Step-by-step explanation:

Is this math. Or simple cooking directions

Answer:

x = 8

y = 21

Step-by-step explanation:

The angle (7x + 12)° and the angle (12x-28)° are alternate interior angles and so has got the same measurement

7x + 12 = 12x - 28

12 + 28 = 12x - 7x

40 = 5x divide both sides by 5

8 = x

The sum of angle (12x - 28)° and (9y - 77)° must be equal because they make a straight line with the measure of 180°

12x - 28 + 9y - 77 = 180 we already found the value of x as 8 so let's rewrite the equation

12 × 8 - 28 + 9y - 77 = 180

96 - 28 - 77 = 180 add like terms

9y - 9 = 180

9y = 189 divide both sides by 9

y = 21

Answer:

f(-4)=3/(-4)²=3/16

fg(1)=f(2×1³)=3/1³=3

The solution of the equation -2x = 14 is x = -7.

Equation:

The equation is:

-2x = 14

We have to find the solution of the equation, it means to find the value of x.

Now, It is easy to solve :

-2x = 14

Taking 2 on right side in quotient form.

x = - 14/2

Divide the above expression.

x = -7

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Answer:

Option B.

Step-by-step explanation:

The given table is

                          Meat              Not meat         Total

Seafood               16                      31                  47

Not seafood        20                      5                  25

Total                     36                    36                  72

From the given table it is clear that:

Seafood-Meat = 16

Not seafood-Meat = 20

Seafood-not meat = 31

Not seafood- not meat = 5

Total = 72

We need to find the joint relative frequency for mall visitors who like seafood and meat.

Joint relative frequency \(=\dfrac{\text{who like seafood and meat}}{\text{Total}}\)

Joint relative frequency \(=\dfrac{16}{72}\)

Therefore, the correct option is B.

Answer:

The Answer On Edge Is B.), Have Fun Dreamers!

Step-by-step explanation:

Answer:

Yes it a right triangle!!

Hope it helps you!!

Answer:

No

Step-by-step explanation:

6^2 + 8^2 doesn't equal 12^2

Answer:

15 cookies

Step-by-step explanation:

Well she has 18 and well we know that

some = a few= 3

SO all you have too is subtract 18-3

and get 15 cookies ;)!

YW!

The type of effectiveness MIS (Management Information System) metric among the options provided is C. Usability.

Usability is a measure of how easy and intuitive a system or application is for users to interact with and navigate. It focuses on the user experience and assesses the efficiency, effectiveness, and satisfaction of users when utilizing the system. Usability metrics can include factors such as learnability, efficiency of use, error rates, and user satisfaction.

Transaction speed (option A), system availability (option B), and throughput (option D) are not specific to effectiveness metrics. Transaction speed and throughput are typically associated with efficiency metrics, measuring the speed and rate at which transactions or processes are completed. System availability pertains to reliability metrics, measuring the uptime and accessibility of the system for users.

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Answer:

Step-by-step explanation:

The circumference for a circle is found in the formula

\(C=\pi d\)

so if the diamteter is 7, then the circumference is

\(7\pi\) or if you are told to round to the nearest hundredth or thousandth, multiply pi in as 3.1415 to get that the circumference is 21.9905 cm

The solution of each equation

a) x = 0.571

b) x = 1.405

c) x = 1.579

d) x = 1.152

e) x = -1.245

f) x = 1.324

Exponential and logarithmic equations can be solved by applying the appropriate rules and properties of exponential and logarithmic functions.

The solutions to the given equations are as follows:

a) The solution to \(4^{(3x-5)\) = 16 is x = 0.571. This is found by expressing both sides with the same base and solving for x.

b) The solution to \(3e^x\) = 10 is x = 1.405. By isolating the exponential term and applying logarithmic functions, we can solve for x.

c) For \(5^{(2x - 1)\) = 20, the solution is x = 1.579. Similar to the previous equation, logarithmic functions are used to solve for x.

d) The solution to \(2^{(x+1)} = 5^{(2x)\) is x = 1.152. Again, logarithmic functions are employed to solve for x.

e) In \(28^x = 10^{(-3x)\), the solution is x = -1.245. By equating the exponential terms with the same base, we can solve for x.

f) The solution to \(e^x + e^{(-x)\) = 5 is x = 1.324. This equation can be solved by recognizing it as a quadratic form.

Exponential and logarithmic equations can be solved using various techniques, such as expressing both sides with the same base, applying logarithmic functions, or recognizing quadratic forms.

These methods enable finding the values of x that satisfy the given equations. Understanding the properties and rules of exponential and logarithmic functions is crucial in effectively solving such equations.

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Answer:

https://tex.z-dn.net/?f=(x%2B10)%5E%7B2%7D%20

Step-by-step explanation:

In a political study, 28 out of 157 current representatives of a state's legislature are surveyed. The sample size is 28 and the population size is 157.

Sample size and population size are two important elements of statistics.

In a survey, a sample refers to a subset of people or items from a larger population.

Researchers select samples because it's impossible to conduct a study on the whole population due to time, cost, and other factors.

A sample is considered representative of the population if it is chosen randomly and if the sample size is large enough.

The population is the entire collection of people, items, or data that the researcher wants to analyze.

In the study, it is the total number of current representatives in the state's legislature.

Sometimes it is challenging to access the population. The sample is then obtained from the population.

The sample size and population size are two important elements of statistics.

Sample size is the number of individuals in a study, while the population size is the total number of individuals who could be studied.

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The probability that the representation in base-9 and the representation in base-11 are both three-digit numbers is 0.6753 which is approximately 0.7 option E.

Given,

We require the following inputs to determine the probability that both the base-9 representation and the base-11 representation are three-digit numbers:

The base-11's lowest 3-digit number is 100.

The comparable number is 121 when expressed in base 10.

888 is the biggest 3-digit base-9 number.

The corresponding number is 728 when expressed in base 10.

As a result, there are the following possibilities:

Possibilities = 728 - 121 + 1

Possibilities = 608

The total number of 3-digit base-10 numbers is

Count = 999 - 100 + 1

Count = 900

The necessary probability is:

P = 608/900

Evaluate

P = 0.6753 ≈ 0.7

Therefore,

The probability that the representation in base-9 and the representation in base-11 are both three-digit numbers is 0.6753 which is approximately 0.7 option E.

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Answer:

A = 19.135 yd²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )

Here b = 4.3 and h = 8.9 , then

A = 0.5 × 4.3 × 8.9 = 19.135 yd²

The Upper Control Limit (UCL) and Lower Control Limit (LCL) are calculated for different data sets, as specified in the given values.

The UCL and LCL are statistical control limits used in process control to determine if a process is in a stable and predictable state. These limits define the range within which data points should fall if the process is under control.

In each case provided (A, B, C, D, E), the UCL and LCL values are given. These values represent the calculated control limits for the respective data sets.

To calculate the control limits, a specific statistical method such as the ± 3σ (sigma) method may have been used. This method sets the UCL and LCL at three standard deviations above and below the mean.

The UCL represents the upper threshold or upper boundary, while the LCL represents the lower threshold or lower boundary. These limits help identify any potential deviations or out-of-control situations in the data.

By applying the given values, the corresponding UCL and LCL for each data set can be calculated. These limits are important for quality control and process monitoring, ensuring that the data falls within acceptable ranges.

To calculate the UCL and LCL using ±3σ limits, we use the following formulas:

UCL = Mean + 3σ
LCL = Mean - 3σ

Here, σ represents the standard deviation of the data set. The ±3σ limits provide a range that encompasses most of the data points in a normal distribution, with approximately 99.7% of the data falling within this range.
A) For data set A:
UCL = 7.437
LCL = -2.237

B) For data set B:
UCL = 7.82
LCL = 0

C) For data set C:
UCL = 8.382
LCL = 0

D) For data set D:
UCL = 7.82
LCL = -2.22

E) For data set E:
UCL = 9.112
LCL = 0

The ±3σ limits are derived from the standard deviation (σ) of the data set. Unfortunately, the standard deviation is not provided in the given information. If you have the standard deviation available, we can proceed to calculate the UCL and LCL using the formulas UCL = Mean + 3σ and LCL = Mean - 3σ.

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Question - What are the upper control limit (UCL) and lower control limit (LCL) using a ±3σ limit for the given data sets?

A) For data set A, the UCL is 7.437 and the LCL is -2.237.
B) For data set B, the UCL is 7.82 and the LCL is 0.
C) For data set C, the UCL is 8.382 and the LCL is 0.
D) For data set D, the UCL is 7.82 and the LCL is -2.22.
E) For data set E, the UCL is 9.112 and the LCL is 0.

Answer: C

Step-by-step explanation:

\(\sqrt10 10=10\sqrt{10}\)

Answer:

28.27

Step-by-step explanation:

Area of a circle A≈ πr2

3.14 x 3^2 ≈ 28.27

Answer:

12 x 3/4 = 9

glad  i could help!

brainliest please ?

Answer:

81.2ft

Step-by-step explanation:

33 = h/125

Answer:

if your factoring the answer should be (5x-2) (x+2)

Answer:

(5x−2)(x+2)

Step-by-step explanation: