What are the values of a, b, and c in the quadratic equation 0 = x - 3x – 2?
O : 36 = 3, c= 2
0 8 = 7 / 0 = -3, c= -2
O = 3,0 = 3,C= -2
O a = b = -3,c=2

The equation of the line using function notation will be;

⇒ g(x) = 250x + 1250

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The table of values represents a linear function g(x), where x is the number of weeks that have passed and g(x) is the balance in the bank account.

Now,

Since, The table of values represents a linear function g(x), where x is the number of weeks that have passed and g(x) is the balance in the bank account.

Take two points of the table as;

(x, g(x)) = (0, 1250)  (5, 750)

So, The linear equation for the table is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁)  (x - x₁)

⇒ y - 1250 = (750 - 1250)/(5 - 0)  (x - 0)

⇒ y - 1250 = 500/5 x

⇒ y - 1250 = 250x

⇒ y = 250x + 1250

⇒ g(x) = 250x + 1250

Thus, The equation of the line using function notation will be;

⇒ g(x) = 250x + 1250

Learn more about the equation of line visit:

brainly.com/question/18831322

#SPJ1

whaaaa

aeeeee

eeeeee

sorreee

The required white effective interest rate is 0.71% more than his nominal interest rate.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,

White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent

So

Difference in interest = 14.33%-13.62%
                                    =0.71%

Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.

Learn more about compound interest here:

https://brainly.com/question/14295570

#SPJ1

Step-by-step explanation:

\( \tt{9 {x}^{2} - 12x + 4}\)

Here, the second order of polynomial ax² + bx + c is factorized and expressed as the product of two linear factors. First, we have to find the two numbers that adds to 12 and if we multiply those numbers , we get 36 ( The two numbers should be 6 and 6 ).

⟶ \( \tt{9 {x}^{2} - (6 + 6)x + 4}\)

⟶ \( \tt{9 {x}^{2} - 6x - 6x + 4}\) { Distribute x through the parentheses )

⟶ \( \tt{ \underbrace{9 {x}^{2} - 6x}} \: - \underbrace{6x + 4}\)

⟶ \( \tt{3x(3x - 2) - 2(3x - 2)}\)

⟶ \( \tt{(3x - 2)(3x - 2)}\)

⟶ \( \tt{ {(3x - 2)}^{2} }\)

\( \pink{ \boxed{ \boxed{ \tt{ Our \: final \: answer : \boxed{ \underline{ \tt{{(3x - 2)}^{2} }}}}}}}\)

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

the second

Step-by-step explanation:

refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice

Answer:

x=180-x

2x=180

x=90

Step-by-step explanation:

The standard form of the equation of the hyperbola with foci at (±5, 0) and asymptotes y = ±4/3x is (x^2 / 9) - (y^2 / 16) = 1.

To find the standard form of the equation of a hyperbola, we need to determine the distances and slopes associated with its foci and asymptotes.

The foci of the hyperbola are given as (±5, 0). The distance between the center (origin) and each focus is denoted by c. In this case, c = 5.

The asymptotes of the hyperbola are represented by the equations y = ±(a / b)x, where a and b are the lengths of the transverse and conjugate axes, respectively. The slopes of the asymptotes are given as ±4/3.

From the given information, we can determine the values of a and b. The distance between the center and each vertex is a, and since the transverse axis is horizontal, a = 5.

Using the relationship a^2 + b^2 = c^2, we can find b: (5^2) + b^2 = (5^2) + (4/3)^2. Solving this equation gives b = 4.

Finally, we can write the standard form of the equation of the hyperbola as (x^2 / a^2) - (y^2 / b^2) = 1. Substituting the values of a and b, we obtain (x^2 / 9) - (y^2 / 16) = 1.

Therefore, the standard form of the equation of the hyperbola is (x^2 / 9) - (y^2 / 16) = 1.

Learn more about asymptotes here:

brainly.com/question/32503997

#SPJ11

Answer:

12/13

Step-by-step explanation:

The probability of not drawing an ace is =

1 minus the probability of drawing an ace.

there are 4 aces in a deck

hence the probability of not drawing an ace =

1 - \(\frac{4}{52}\)

= 48/52 = 12/13

The required probability of not drawing an ace would be 12/13.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

You draw a card from a standard deck of 52 playing cards.

The probability of not drawing an ace is P(E)

There are 4 aces in a deck

So the number of favorable outcomes n(E)= 4

And the total number of outcomes n(S) = 52

Thus, the probability of drawing an ace = n(E)/n(S) = 4 / 52

The probability of not drawing an ace will be:

⇒ P(E) = 1 - n(E)/n(S)

⇒ P(E) = 1 - 4 / 52

⇒ P(E) = 48/52

⇒ P(E) = 12/13

Therefore, the required probability of not drawing an ace would be 12/13.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ6

Answer:

The height of the square pyramid is 9.8 in.

Step-by-step explanation:

Given;

area of the square pyramid, A = 96 in²

base length, a = 4 in

height of the pyramid, h = x in

The surface area of the pyramid is calculated as follows;

\(SA = a^2 + 2a \sqrt{\frac{a^2}{4} + h^2} \\\\96 = 4^2 + 2(4)\sqrt{\frac{4^2}{4}+ x^2} \\\\96 = 16 + 8\sqrt{4+ x^2} \\\\96-16 = 8\sqrt{4+ x^2}\\\\80 = 8\sqrt{4+ x^2}\\\\\frac{80}{8} = \sqrt{4+ x^2}\\\\10 =\sqrt{4+ x^2}\\\\ (10)^2 = 4+ x^2\\\\100 = 4 + x^2\\\\ x^2 = 100-4\\\\x^2 = 96\\\\x = \sqrt{96} \\\\x = 9.80 \ in\)

Therefore, the height of the square pyramid is 9.8 in.

To enhance the tour booking process, a concierge fee structure is proposed. For tours costing over $2,500, a $150 fee will be added, while tours surpassing $3,500 will incur a $300 fee. Additionally, the traveler's first and last names will be concatenated. In the case of more than eight attendees, a discount will be applied.

In order to provide an improved booking experience, a concierge fee structure is implemented. For tours that cost more than $2,500, a concierge fee of $150 will be added to the total cost. This fee acknowledges the additional services and personalized assistance required for higher-value tours. For tours exceeding $3,500, the concierge fee will be increased to $300, reflecting the increased complexity and demands associated with these premium experiences.

Furthermore, as part of the booking process, the traveler's first and last names will be concatenated. This concatenation enables the creation of a unique identifier for each traveler and helps streamline administrative processes. By combining the first and last names, the booking system can efficiently manage traveler information and ensure accurate record-keeping.

In addition, a discount will be applied to tours if there are more than eight people attending. The specific discount rate will depend on various factors, such as the tour's base price, duration, and availability. The discount encourages group bookings and makes the tour more affordable for larger parties. By accommodating larger groups, the tour operator can maximize occupancy and create a more enjoyable and social experience for participants.

Overall, the proposed concierge fee structure, name concatenation, and group booking discount aim to improve the tour booking process, provide personalized assistance, and make tours more accessible for different group sizes. These enhancements will contribute to a smoother and more enjoyable experience for travelers, while also benefiting the tour operator by streamlining administrative tasks and increasing customer satisfaction.

Learn more about concierge fee here:

https://brainly.com/question/14915168

#SPJ11

The total number of students in the sample who visited city bars every weekend is an example of a count or a discrete variable.

In this scenario, the chancellor of Ferris State University wanted to investigate the portion of students who visited city bars every weekend. To gather data, the advisor took a random sample of 250 students from the university. The variable of interest, in this case, is the number of students in the sample who visited city bars every weekend.

Since the variable represents a count of students, it is a discrete variable. Discrete variables take on specific values and cannot be divided into smaller units. In this context, the total number of students who visited city bars every weekend in the sample can only be a whole number, such as 0, 1, 2, and so on.

Count variables are commonly used in statistical analysis to study events or behaviors that can be counted, such as the number of occurrences of an event, the number of individuals in a category, or in this case, the number of students who visited city bars every weekend. By examining the count variable, researchers can gain insights into the prevalence or frequency of a particular behavior or event within a population.

Learn more about variable here:

https://brainly.com/question/29583350

#SPJ11

The first five values of the autocorrelation function (ACF) for the given AR autoregressive model are as follows: ρ(0) = 1, ρ(1) = -0.9, ρ(2) = 0.01, ρ(3) = -0.081, and ρ(4) = 0.0099.

The given AR (autoregressive) model can be represented as:

Z_t = -0.9Z_{t-1} + 0.1Z_{t-2} + c + a_t

where c is a constant and {a_i} is a white noise process. We are required to find the first five values of the autocorrelation function (ACF) and determine if the process is stationary.

The autocorrelation function (ACF) measures the correlation between a time series and its lagged values. In this case, we want to find the ACF for the given AR model. The ACF at lag k, denoted as ρ(k), is defined as the correlation between Z_t and Z_{t-k}.

Z_t = -0.9Z_{t-1} + 0.1Z_{t-2} + c + a_t

E[Z_tZ_{t-k}] = -0.9E[Z_{t-1}Z_{t-k}] + 0.1E[Z_{t-2}Z_{t-k}] + cE[Z_{t-k}] + E[a_tZ_{t-k}]

        ρ(k) = -0.9ρ(k-1) + 0.1ρ(k-2)

ρ(1) = -0.9ρ(0) + 0.1ρ(-1)

Learn more about Equation

brainly.com/question/13763238 equation

#SPJ11

A student′s grade on an examination was transformed to a z value of 0.67. Therefore, the student scored approximately in the top 26% of the class. This indicates that the correct answer is d. 25 percent.

In this scenario, the student's grade on an examination has been transformed into a z value of 0.67. To determine the approximate percentile rank of the student's score, we can refer to the standard normal distribution table.

The z value represents the number of standard deviations the student's score is away from the mean. A z value of 0.67 corresponds to a percentile rank of approximately 74%. Therefore, the student scored approximately in the top 26% of the class. This indicates that the correct answer is d. 25 percent.

To elaborate, a z value represents the number of standard deviations a data point is above or below the mean in a normal distribution. By converting the student's grade to a z value, we can compare it to the standard normal distribution table to determine the corresponding percentile rank. A z value of 0.67 corresponds to a percentile rank of approximately 74%.

This means that approximately 74% of the students in the class scored below the student in question. Since we are interested in the top percentile, we subtract the percentile rank from 100% to get the approximate percentage of students who scored lower. Therefore, the student scored approximately in the top 26% of the class, indicating that the correct answer is d. 25 percent.

Learn more about z-value:

brainly.com/question/30426387

#SPJ11

Answer:

I think this is mistake because y=2x^2+6x-10 y=x+5 this is the right

The test statistic for the Approximate Wald test is undefined. The score test is \([(\Sigmayi - n\lambda) / \sqrt{(n \lambda)}]^2.\)  The Wald test is \(W = (\theta - \theta_0) / SE(\theta)\). The likelihood ratio test is \(logL(\lambda) = \Sigma yi \times log(\lambda) - n\lambda - \Sigma log(yi!).\)

In order to find the test statistics for the given tests, we need to consider a sample of n independent and identically distributed random variables following a Poisson distribution with parameter λ.

i. Approximate Wald test:

The Wald test is used to test hypotheses about the parameters in a statistical model. In this case, we want to test the hypothesis that λ = 5. The test statistic for the approximate Wald test is calculated as:

\(W = (\lambda - \lambda_{0} ) / SE(\lambda)\)

where λ₀ is the hypothesized value of λ and SE(λ) is the standard error of λ. Since λ = 5 and n = 250, we can calculate the standard error using the formula:\(SE(\lambda) = \sqrt{(\lambda / n)}\). Plugging in the values, we have:

W = (5 - 5) / √(5 / 250) = 0 / 0 = undefined.

ii. Score test:

The score test is another statistical test used for hypothesis testing. The test statistic for the score test is calculated as:

\(S = (\partial logL(\lambda) / \partial\lambda)^2 / Var(\partial logL(\lambda) / \partial\lambda)\)

where logL(λ) is the log-likelihood function and \(Var(\partial logL(\lambda) / \partial \lambda)\) is the variance of the score function. For the Poisson distribution, the score function is \((\partial logL(\lambda) / \partial \lambda) = (\Sigma yi - n\lambda) / \lambda.\)

We can calculate the variance using the formula:

\(Var(\partial logL(\lambda) / \partial \lambda) = (\partial^2 \;logL(\lambda) / \partial \lambda^2) / n\).

For the Poisson distribution,\((\partial ^2logL(\lambda) / \partial \lambda^2) = -n / \lambda^2\).

Plugging in the values, we have:

S = \(((\Sigma yi - n\lambda) / \lambda)^2 / ((-n / \lambda^2) / n)\)

S = \(((\Sigma yi - n\lambda) / \lambda)^2 \times (\lambda^2 / -n)\)

S = \([(\Sigmayi - n\lambda) / \sqrt{(n \lambda)}]^2.\)

iii. Wald test:

The Wald test is used to test hypotheses about the parameters in a statistical model. The test statistic for the Wald test is calculated as:

\(W = (\theta - \theta_0) / SE(\theta)\)

where θ is the estimated parameter value, θ₀ is the hypothesized value of the parameter, and SE(θ) is the standard error of the estimated parameter. For the given question, it is not specified which parameter we are testing, so we cannot provide a specific test statistic for the Wald test.

iv. Likelihood ratio test:

The likelihood ratio test is used to compare the fit of two nested models, where one model is a restricted version of the other. The test statistic for the likelihood ratio test is calculated as:

LR = -2 * (logL(restricted) - logL(unrestricted))

where logL(restricted) is the log-likelihood of the restricted model and logL(unrestricted) is the log-likelihood of the unrestricted model. For the Poisson distribution, the log-likelihood function is given by:

\(logL(\lambda) = \Sigma yi \times log(\lambda) - n\lambda - \Sigma log(yi!).\)

We can calculate the log-likelihood for the restricted and unrestricted models using the given information and plug it into the formula to calculate the likelihood ratio test statistic.

To know more about Wald test refer here:

https://brainly.com/question/31992756#

#SPJ11

The distance between two boats travelling in a canal in opposite direction given by the equation 2 ( x -1 ) = 2x + 5, will have no solution.

A linear equation only has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction.

For example:

1. x + y = 2

2. 5x + y + z = 5

1. Unique Solution

2. Infinite Solution

3. No Solution.

Unique solution: 3x + 5 = -10

here, x will have only one solution i.e. x = -5

Infinite solution: 2x + 3 = x + x + 3

here, x will have infinitely solution

No solution: 3x + 5 = 3x - 5

here, 5 ≠ -5

We have given that:

2(x -1 ) = 2x + 5

2x - 2 = 2x + 5

-2 ≠ 5

here, x will have no solution.

Hence,

The distance between two boats travelling in a canal in opposite direction given by the equation 2 ( x -1 ) = 2x + 5, will have no solution.

Learn more about "Linear Equation and Formula" from here: https://brainly.com/question/11897796

#SPJ4

The probability that a randomly chosen labor force participant has a high school diploma or fewer years of education given that he or she is unemployed is approximately 0.999 or 99.9%.

To find the probability that a randomly chosen labor force participant has a high school diploma or fewer years of education given that he or she is unemployed, we can use Bayes' theorem.

Let's define the following events:

A: Labor force participant has a high school diploma or fewer years of education.

B: Labor force participant is unemployed.

We are looking for P(A|B), the probability that a labor force participant has a high school diploma or fewer years of education given that he or she is unemployed.

According to the information given:

P(A) = 0.381 (38.1% of the labor force has a high school diploma or fewer years of education)

P(B|A) = 0.051 (5.1% of those with a high school diploma or fewer years of education are unemployed)

P(B) = (P(A) * P(B|A)) + (P(A') * P(B|A')) [using the Law of Total Probability]

P(A') = 1 - P(A) = 1 - 0.381 = 0.619 (complement of having a high school diploma or fewer years of education)

P(B|A') = 0.035 (3.5% of those with some college or an associate's degree are unemployed)

P(B|A) = 0.028 (2.8% of those with a bachelor's degree or more education are unemployed)

Substituting these values into the equation for P(B):

P(B) = (0.381 * 0.051) + (0.619 * 0.035)

Now we can calculate P(A|B) using Bayes' theorem:

P(A|B) = (P(B|A) * P(A)) / P(B)

Substituting the values we have:

P(A|B) = (0.051 * 0.381) / P(B)

Calculating P(B):

P(B) = (0.381 * 0.051) + (0.619 * 0.035) = 0.019431

Substituting the calculated value of P(B) into the equation for P(A|B):

P(A|B) = (0.051 * 0.381) / 0.019431 ≈ 0.999

Therefore, the probability that a randomly chosen labor force participant has a high school diploma or fewer years of education given that he or she is unemployed is approximately 0.999 or 99.9%.

To learn more about Bayes' theorem visit:

brainly.com/question/32765058

#SPJ11

Since `m = y/ x` and as `y -> 0`, `m -> 0`.Thus, `lim_(x, y->0)` `(x/ y)` = `1/0`which is of the form `1/0`.Therefore, the limit does not exist.

Given equation is;`lim_(x, y->0)` `sin(√x²+y²)/` `√x²/ y²`Let us solve the problem step by step;When `x`, `y` tends to `0`,  `√x²+y²` approaches `0`.

We know that, `sin0 = 0`So, the equation reduces to;`lim_(x, y->0)` `√x²/ y²`

On solving the above limit using the quotient rule of limits;

`lim_(x, y->0)` `√x²/ y²`

= `lim_(x, y->0)` `√x²/ √y²`

=`lim_(x, y->0)` `(x/ y)`  

= `(0/0)`

which is of indeterminate form.Let us convert it into

`y=mx` form;`lim_(x, y->0)` `(x/ y)`

= `lim_(x, y->0)` `(x/ mx)`

where, `m = y/ x`So,

`lim_(x, y->0)` `(x/ y)` = `lim_(x, y->0)` `1/ m`

Since `m = y/ x` and as `y -> 0`, `m -> 0`.Thus, `lim_(x, y->0)` `(x/ y)` = `1/0`which is of the form `1/0`.Therefore, the limit does not exist.

For more information on quotient rule visit:

brainly.com/question/30278964

#SPJ11

1 4/5 bags of dog food will last the LPS for approximately 8 and 3/10 days, or 8.3 days.

The Logan pet store uses 9/10 of a bag of dog food every day, which means they need 9/10 * 1 bag = 9/10 bags of dog food per day. To determine how many days 1 4/5 bags of dog food will last,

we need to divide the total amount of dog food by the amount used per day: 1 4/5 bags / (9/10 bags/day) = (9/10)*(18/5) / (9/10) = 18/5 days. Therefore, 1 4/5 bags of dog food will last for 18/5 days.

One 4/5 bags of dog food will last the Logan Pet Store (LPS) for approximately 8 and 3/10 days. This is because if the LPS uses 9/10 of a bag of dog food every day, then they are using 9/10 * 5/5 = 9/10 bags of dog food per day. If we divide 1 4/5 bags of dog food by 9/10 of a bag per day, we get (1 4/5) / (9/10) = (18/5) / (9/10) = 18/5 * 10/9 = 20/9 days. Therefore, 1 4/5 bags of dog food will last the LPS for approximately 8 and 3/10 days, or 8.3 days.

To know more about days:

brainly.com/question/15165641

#SPJ4

Answer:

1. 8 units downwards and 2 units left

2.7 units right and 4 units upwards

3. 5 units right and 4 units downwards

Step-by-step explanation:

That how it goes

The Equation of line -

The slope intercept form of a line is given by -

y = mx + c

m is the slope of line

c is the y - intercept

Given is a line that passes through the point (3, 10) and in case [1] is parallel to line y = x - 1 and in case [2] is  perpendicular to y = x - 1.

Case 1 -  Line is parallel to the line y = x - 1

Assume that the equation of line is -

y = mx + c

Since, the line is parallel, both lines will have same slope and is given by -

m = 1

Since, the line passes through the point (3, 10) we can write -

10 = 1 x 3 + c

c = 7

We can write the equation of line parallel to line y = x - 1 as -

y = x + 7

Case 2-  Line is perpendicular to the line y = x - 1 -

Assume that the equation of line is -

y = mx + c

Since, the line is perpendicular, the product of slopes of both lines will be equal to 1. The slope (m) of the line will be -

m x 1 = -1

m = -1

Since, the line passes through the point (3, 10) we can write -

10 = -3 + c

c = 13

We can write the equation of line perpendicular to line y = x - 1 as -

y = - x + 13

Therefore, the equation of line -

To solve more questions on Straight lines, visit the link below-

brainly.com/question/9317111

#SPJ1

Bubba can paint an area of approximately 205,797.10 square meters with a single coating of the 3 gallons of paint, assuming he manages a uniform thickness.

The area that Bubba can paint with a single coating of the 3 gallons of paint, we need to first convert the volume of the paint into liters. As given, 1 gallon is the same as 3.78 liters.
3 gallons x 3.78 liters/gallon = 11.34 liters
Now, we need to use the thickness of the paint to calculate the area that can be covered with this amount of paint. The thickness of the paint is given as 0.0552 mm. We need to convert this to meters so that it is in the same units as the area. 1 mm is equal to 0.001 meters, so:
0.0552 mm x 0.001 meters/mm = 0.0000552 meters

The thickness of the paint in meters. Now we can use the volume and thickness of the paint to calculate the area that can be covered. The formula for this is:
Area = Volume / Thickness
Area = 11.34 liters / 0.0000552 meters
Area = 205,797.10 square meters

Yo know more about area visit:-

https://brainly.com/question/1631786

#SPJ11

The Formula is p(A and B) = p(A) * p(B|A)

1) In general, the formula for finding the probability of the intersection of two events, A and B, is:

p(A and B) = p(A) * p(B|A)

This is also known as the conditional probability formula, where p(B|A) is the probability of event B occurring given that event A has already occurred.

2) The addition rule for disjoint events is:

p(A or B) = p(A) + p(B)

This rule applies when events A and B are disjoint, meaning they cannot occur at the same time. In other words, the two events have no common outcomes.

The general addition rule, on the other hand, is:

p(A or B) = p(A) + p(B) - p(A and B)

This rule applies when events A and B are not disjoint, meaning they can occur at the same time. In this case, we need to subtract the probability of the intersection of A and B, as we have double-counted the outcomes that are common to both events.

3) Joint probability refers to the probability of two or more events occurring together, also known as the probability of the intersection of the events. It is the probability of multiple events occurring at the same time.

4) Conditional probability refers to the probability of an event occurring, given that another event has already occurred. It is the probability of an event A happening, given that event B has already happened. The conditional probability of A given B is represented as P(A|B).

5) Conditional probability is the probability of an event occurring given that another event has already occurred. It is a way to express how likely an event is given that another event has already occurred. It is represented as P(A|B) where A and B are events, it is the probability of event A happening given that event B has already happened.

To learn more about conditional probability visit: brainly.com/question/30144287

#SPJ4

There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

Know more about factorialhere:

https://brainly.com/question/18270920

#SPJ11

The frequency of each range in the table is as follows:-

Range       Frequency

\(0-4\)                \(2\)

\(5-9\)                \(3\)

\(10-14\)             \(6\)

\(15-19\)             \(0\)

\(20-24\)             \(1\)

\(25-29\)             \(2\)

The frequency of a particular value is the number of times the value occurs in the data.

First, find the number of times the particular value occurs in the given data.

Given, Raphael surveyed his co-workers to find out their spent hours on the internet each week.

The results are:-

\(14,22,10,6,9,3,13,7,12,2,26,11,13,25\)

Thus, the number of occurence of a particular range can be written as follows:-

Range        Hours in given data       Frequeny

\(0-4\)                     \(3,2\)                              \(2\)

\(5-9\)                    \(6,9,7\)                            \(3\)

\(10-14\)           \(14,10,13,12,11,13\)             \(6\)

\(15-19\)                     \(0\)                               \(0\)

\(20-24\)                    \(22\)                              \(1\)

\(25-29\)                  \(26,25\)                           \(2\)

Hence, the frequency of each range in the table is as follows:-

Range               Frequency

\(0-4\)                         \(2\)

\(5-9\)                         \(3\)

\(10-14\)                      \(6\)

\(15-19\)                      \(0\)

\(20-24\)                      \(1\)

\(25-29\)                      \(2\)

#Learn more about the frequency here-

https://brainly.com/question/5102661

#SPJ2

The solution to the equation 4x + 17 = 23 is x = 3/2.

It should be noted that to solve this equation, we need to isolate the variable x on one side of the equation.

First, we can subtract 17 from both sides of the equation:

4x + 17 - 17 = 23 - 17

Simplifying the left side of the equation:

4x = 6

Next, we can divide both sides of the equation by 4:

4x/4 = 6/4

Simplifying:

x = 3/2

Therefore, the solution to the equation 4x + 17 = 23 is x = 3/2.

Learn more about equations on

https://brainly.com/question/2972832

#SPJ1