Jorge is running a race. In 2/3 of an hour, he ran 2 2/5 miles. At this rate, what distance will Jorge run in one hour?

Answer:

y>4x+1

Step-by-step explanation:

We got two simple steps for this question:

1.Find the equation(y=mx+b):

I want to test these two points on my formula:

(0, 1), (–1, –3)

\(m = \frac{y2 - y1}{x2 - x1} = \frac{1 - ( - 3)}{0 - ( - 1)} = \frac{4}{1} = 4\)

so we just calculated our m and now it time for b

\(y = 4x + b = = = > 1 = 4(0) + b = = = > b = 1\)

So your criterion is y=4x+1

2.

we are looking for ys greater than xs so your answer is gonna be y>4x+1

When presenting chunks of information, bar charts should be used. As long as there aren't too many categories to contrast, vertical bar charts can be useful for comparing several discrete or categorical variables, such as age groups, courses, and schools. For time series data, they are also highly beneficial.

Why would one use a bar chart?

To show a frequency distribution for qualitative data, bar charts are frequently employed.

                   The axis used to measure the bars should always begin at zero, unless there is a valid reason for doing otherwise.

                  Otherwise, the axis can be stretched to magnify differences in the lengths of the bars. A title and the axis labels are required for bar charts.

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Answer:

a=30°; b=40°;c=40°; d=40°; e=110°: f=110°; g=30°; h=140°; i=70°; j=70°

Answer:

Precalculus Examples

Popular Problems Precalculus Find the Center and Radius x^2+y^2=121

x^2+y^2=121

This is the form of a circle. Use this form to determine the center and radius of the circle.

(x−h)^2+(y−k)^2=r^2

Match the values in this circle to those of the standard form. The variable r represents the radius of the circle, h represents the x-offset from the origin, and k represents the y-offset from origin.

r=11

h=0

k=0

The center of the circle is found at (h,k).

Center: (0,0)

These values represent the important values for graphing and analyzing a circle.

Center: (0,0)

Radius: 11

Step-by-step explanation:

Hope it is helpful......

The variables that a company puts together in an attempt to satisfy a particular set of customers that it wants to appeal to is called a Marketing Mix. Marketing Mix is a marketing term that refers to a combination of elements that are utilized to promote a product or brand.

The four elements of the marketing mix are as follows:

Product: This refers to the item that is being sold. It must meet the needs of the intended audience and offer advantages over competing products.

Price: This refers to the amount that a customer will pay for the item. The price must be appropriate for the product being sold, and it must also be competitive with other items that are similar.

Promotion: This refers to the way in which the product is marketed. This can include advertising, direct mail, public relations, and other methods.

Place: This refers to the location where the product is sold. It can be in a retail store, online, or at another location.

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Answer:

12.7, because the absolute value gets rid of the negative integer, and shows it true value which is positive 12.7.

Step-by-step explanation: Have a Happy Thursday :)

Answer:

1. DC

2. BC

3. EA

4. ABC

5. BAC, DCA, DAC (i think any of these options work)

6. BAD

7. CDA, ABC

8. 360

Step-by-step explanation:

The midpoint of the line segment with these endpoints (1,9),(3,-8) is (2, 1/2).

Given:

End points are (1, 9) and (3, -8).

we know that midpoint of (x1, y1) and (x2, y2) = \((\frac{x1 +x2}{2} , \frac{y1+y2}{2} )\).

substitute values we get,

Midpoint = \((\frac{1+3}{2} ,\frac{9+(-8)}{2} )\)

= (4/2 , 9 - 8 / 2)

= (2, 1/2).

Therefore the midpoint of the line segment with these endpoints (1,9),(3,-8) is (2, 1/2).

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The probability the mean age at heart attack after using cocaine is greater than 42 is 0.9192. Hence, the correct option is D. 0.9192.

The standard deviation of the age of people who suffered heart attacks soon after using cocaine was 10 years. In a random sample of size 49, what is the probability the mean age at heart attack after using cocaine is greater than 42?We are given the following details:

The mean age of people in the study who suffered heart attacks soon after using cocaine was only 44.

Standard deviation = 10

Sample size = 49

Now we need to find the z-score using the formula:

z = (x - μ) / (σ / √n)

wherez is the z-score

x is the value to be standardized

μ is the mean

σ is the standard deviation

n is the sample size.

Substitute the values in the formula as given,

z = (42 - 44) / (10 / √49)z = -2 / (10/7)

z = -1.4

Probability of z > -1.4 can be found using the standard normal distribution table or calculator.

P(z > -1.4) = 0.9192

Therefore, the probability the mean age at heart attack after using cocaine is greater than 42 is 0.9192. Hence, the correct option is D. 0.9192.

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Answer:

1. 1 & 16, 2 & 8, 4 & 4

2. 1 & 39, 3 & 13

3. 1 & 50, 2 & 25, 5 & 10

Public opinion polls use sample sizes of more than 1000 people because it helps to ensure that the results are statistically significant. This means that the results are likely to be accurate and representative of the population as a whole.

The margin of error for a poll is the amount by which the results of the poll could be off from the actual results. The margin of error is calculated using the sample size, the confidence level, and the standard deviation of the population.

The confidence level is the probability that the results of the poll are within the margin of error. The standard deviation of the population is a measure of how spread out the opinions of the population are.

The larger the sample size, the smaller the margin of error will be. This is because the larger the sample size, the more likely it is that the sample will be representative of the population as a whole.

For example, if a poll has a sample size of 1000 people and a confidence level of 95%, the margin of error will be +/- 3%. This means that there is a 95% chance that the results of the poll are within 3% of the actual results.

If a poll has a sample size of 500 people and a confidence level of 95%, the margin of error will be +/- 4.4%. This means that there is a 95% chance that the results of the poll are within 4.4% of the actual results.

As you can see, the larger the sample size, the smaller the margin of error will be. This is why public opinion polls use sample sizes of more than 1000 people. It helps to ensure that the results are statistically significant and that they are likely to be accurate and representative of the population as a whole.

Answer:

A) is your answer = 23/40

Step-by-step explanation:

The value of the expression is -23/40.

None of the given option is correct.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given:

A fractional expression,

1/4-1/5+ -3/4+1/8,

Simplifying,

(1/4 - 3/4) + 1/8 - 1/5,

= (-20 + 5 -8) / 40

= -23/40

Therefore, the correct value is -23/40.

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Answer:

C

Step-by-step explanation:

After x year, computer's value will be (1/2)^x

So the graph has to exponentially decreasing.

Both A and C show decreasing value but A is linear. So A is incorrect

B and D show increasing value so they are both incorrect.

An MIS differs from a TPS in that it creates databases is True.

An MIS (Management Information System) does indeed differ from a TPS (Transaction Processing System) in that it creates databases. The main purpose of an MIS is to collect, process, store, and disseminate information to support managerial decision-making within an organization. It involves the use of technology and various information systems to manage and analyze data for strategic planning, monitoring, and control.

One of the key components of an MIS is the creation and management of databases. Databases are structured collections of data that are organized, stored, and accessed in a systematic way. They serve as a central repository for storing relevant information that can be utilized by the MIS. These databases can contain data from various sources within the organization, such as sales records, customer information, inventory data, financial data, and more.

On the other hand, a TPS focuses primarily on the processing of transactions. It is designed to capture, process, and record day-to-day operational transactions, such as sales transactions, inventory updates, customer orders, and so on. While a TPS may store and retrieve data related to these transactions, its main focus is on efficiently processing and ensuring the accuracy and integrity of transactional data.

In summary, an MIS goes beyond the functionalities of a TPS by not only processing transactions but also creating and managing databases to support the informational needs of managers.

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Answer:

Ray AD is the anserw

Step-by-step explanation:

Answer:

\((x+4)^2+3=0\)

Step-by-step explanation:

Hey there!

Standard form is what this equation is in

Standard form is this: \(ax^2+bx+c\)

So order to complete the square, you need to take the \(b\) term out of the equation, divide it by two, and then square it

In this case, the \(b\) term is 8

We need to divide 8 by 2 ---> 4

Then square 4 ---> 16

So now you should add 16 to both sides

\(x^2+8x+16+19=16\)

Now you can simplify the LHS

\((x+4)^2 +19=16\)

Now you subtract 16 from both sides

\((x+4)^2+3=0\)

So this is as far as you can go since you cannot take the square root of a negative number

Answer:

All possible ordered pairs are as follows:

Step-by-step explanation:

In an ordered pair (x, y),

Let

P = {x, y}

X = {1, 2, 3}

So, the number of possible ordered pairs = 2 × 3 = 6

Therefore, all possible ordered pairs are as follows:

Answer:

4x - 2

Step-by-step explanation:

-2(1-2x)

-2 + 4x (Multiply in the parentheses)

4x - 2 (Rearrange for x first)

Answer:

4x - 2

Step-by-step explanation:

The task is to find the area under the standard normal curve to the left of z = -1.5 and to the right of z = -1.1, rounded to four decimal places.

The area under the standard normal curve represents the probability of a random variable being less than or greater than a certain value. To find the area to the left of z = -1.5, we can look up the corresponding cumulative probability in the standard normal distribution table or use statistical software.

Similarly, to find the area to the right of z = -1.1, we can calculate 1 minus the cumulative probability to the left of -1.1. By subtracting the area to the right from the area to the left, we can determine the desired area under the standard normal curve.

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2.1) With a 95% chance of success in each surgery and independent results, we found the probability of at least eighteen successful surgeries by using the binomial probability formula.

2.2) Given that 7% of Americans have O negative blood type, we used a simple random sample of 400 Americans and the normal approximation to the binomial distribution to estimate the probability of at least 34 individuals having the negative blood type.

2.3) With a known population average of 450 charge cycles and a standard deviation of 35 charge cycles, we aimed to find the probability that a random sample of 50 batteries would have a mean life span of at least 460 charge cycles.

Probability of at least eighteen successful surgeries:

In this scenario, we have a new surgical technique with a 95% chance of success (p=0.95) for each surgery. The results of each surgery are independent of each other. We want to calculate the probability that at least eighteen out of twenty patients have a successful surgery.

Now, we need to find the probability of having at least eighteen successful surgeries. This can be calculated by adding the probabilities of having eighteen, nineteen, and twenty successful surgeries.

P(at least eighteen) = P(X = 18) + P(X = 19) + P(X = 20)

Using the binomial probability formula, we can calculate these probabilities individually and sum them up to find the final answer.

Approximate probability of at least 34 Americans with O negative blood type:

In this scenario, we know that 7% of Americans have an O negative blood type. We have a simple random sample (SRS) of 400 Americans, and we want to find the approximate probability that at least 34 of them have the negative blood type.

Since the sample size (400) is large, we can use the normal approximation to the binomial distribution. This approximation relies on the Central Limit Theorem, which states that the distribution of a sum or average of a large number of independent and identically distributed random variables tends to be approximately normal.

Probability of a sample mean of at least 460 charge cycles:

To solve this problem, we will use the Central Limit Theorem. According to this theorem, the sample means from sufficiently large samples tend to follow a normal distribution, regardless of the shape of the population distribution.

Since the sample size is relatively large (n = 50), we can assume that the sample mean follows a normal distribution. The mean of the sample mean (μ) will be the same as the population mean (450), and the standard deviation of the sample mean (σ) will be the population standard deviation divided by the square root of the sample size

=> (35/√(50)).

Using the properties of the normal distribution, we can calculate the probability of obtaining a sample mean of at least 460 charge cycles by finding the area under the normal curve to the right of 460.

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The amount of each quarterly payment, rounded, for a $30,000 loan with a 6% annual interest rate to be paid off in 10 equal quarterly payments is $2,803 (option B).


To calculate the amount of each quarterly payment, we need to use the formula for calculating the equal payments on an installment loan. In this case, the loan amount is $30,000, the annual interest rate is 6%, and the loan term is 10 quarters.

Using the formula, we can determine that the amount of each quarterly payment is approximately $2,803. This amount is rounded to the nearest whole number, as specified in the question. Therefore, option B, $2,803, is the correct answer. The other options (A, C, and D) are not applicable to the calculation based on the given information.

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If you want to use integer tiles to find the product of 2(-5), think of it as you having 2 groups of 5 negative tiles, that is

-1 -1

-1 -1

-1 -1

-1 -1

-1 -1

Think of it as you having each of the -1 inside it's distinct tile. Now adding up these tiles you have -10.

Therefore 2(-5) is -10 using integer tiles.

If we are to use the number line, first draw your number line, then think of it as jumping twice while each jump is -5 big.

So the first jump from 0 will land on -5 and the second jump will land on -10 and that is the required answer using the number line.

Answer:

sup i know im late but still

Step-by-step explanation:

With integer tiles, you would add 5 groups of negative 2 tiles or remove 2 groups of 5 positive tiles. On the number line, you would bounce by 5 to the left 2 times. - this was the sample response on edge.

ur welcome

Answer:

12 1/9 is your answer.

Step-by-step explanation:

Since 7+5 is 12 you got your first part. Now you have to find a thing that matches which is 1/9

The least-squares linear correlation coefficient for the given dataset can be determined using the Desmos graphing calculator. The options provided are: r=0.74, r=0.938, r=0.968, and r=0.811.

To find the least-squares linear correlation coefficient, we need to calculate the Pearson correlation coefficient (r). This coefficient measures the strength and direction of the linear relationship between two variables. In this case, the dataset consists of pairs of values (x, y).

Using the Desmos graphing calculator, we can input the dataset and generate a scatter plot. Then, by selecting the option to display the line of best fit or the regression line, we can obtain the equation of the line and the value of r, the least-squares linear correlation coefficient.

Based on the options provided, we need to calculate the value of r using the Desmos graphing calculator and compare it to the given options. After performing the calculations, the correct answer is the option that matches the calculated value of r.

Therefore, the option that corresponds to the least-squares linear correlation coefficient calculated using the Desmos graphing calculator for the given dataset should be selected as the answer.

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Answer: (

1

,

1

)

,

(

2

,

2

)

,

(

3

,

0

)

(

0

,

5

)

,

(

3

,

4

)

,

(

2

,

0

)

(

2

,

3

)

,

(

4

,

5

)

,

(

−

3

,

3

)

Step-by-step explanation:

The expression  is 5/6 × 14 and 2/3 = 35 and 5/9`. So, option d is correct.

Given expression is `5/6 × 14 and 2/3`.We can write `14 and 2/3` as mixed fraction which is equal to `14 + 2/3`.We need to multiply `5/6` with `14 + 2/3`

To multiply mixed fractions with fractions:

Convert the mixed fraction to an improper fraction and then multiply.

5/6 × 14 and 2/3=5/6 × (14 + 2/3)

=5/6 × (14 × 3/3 + 2/3)

=5/6 × 42/3 + 5/6 × 2/3

=35 + 5/9

=315/9 + 5/9

=320/9

We can simplify it by dividing numerator and denominator by

5.320/9 ÷ 5/5=320/9 × 5/5=1600/45

Now, we can write `1600/45` as mixed fraction.1600/45 = 35 remainder 5

Therefore, `5/6 × 14 and 2/3 = 35 and 5/9`.So, option d is correct.

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The domain for the function in this problem is given as follows:

0 ≤ x ≤ 5.

The domain of the function in this problem is the number of hours, which is represented by numbers between 0 and 5, as the hours cannot be negative and they played for 5 hours, hence the interval is given as follows:

0 ≤ x ≤ 5.

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Answer: 10/3 every hour

Step-by-step explanation:

The rate the water level is rising is 3 feet and 4 inches per hour.