Which shows the equation y = -1/2 x + 5 written in standard form

Answer:

25.13

Step-by-step explanation:

To find the diameter C = 2 π x r

Answer:

g(x) = x + 6

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Here

f(x) = x + 8 is shifted 2 units right , then

g(x) = (x - 2) + 8

      = x - 2 + 8

      = x + 6

The parent function of the given function is g(x) = x + 6

A function in math is a rule or expression that defines a relationship between one variable (the input or independent variable) and another variable (the output or dependent variable).

Given is a function, f(x) = x + 8, which is shifted 2 units to the right, we need to find its parent function,

The rule of shifting of a function =

If f(x + a) is a horizontal shift of f(x)

If a > 0 then a shift left of a units

If a < 0 then a shift right of a units

Here,

f(x) = x + 8 is shifted 2 units right, then

g(x) = (x - 2) + 8

= x - 2 + 8

= x + 6

Hence, the parent function of the given function is g(x) = x + 6

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In order to score at least 76 for the full course, you have to score a total of 70 marks on the third test.

Average is calculated by first adding all the values of the total number of terms in a problem by the total number of terms.

Suppose there are five terms in a given problem, the formula will stand as:

Average of five terms = (n1 + n2 + n3 + n4 + n5)/5.

In this problem, the score of the first two tests are provided and the average of the three final tests is provided.

Marks scored in 1st test = 70

Marks scored in 2nd test = 88

Average marks = 76

Let the score of the third test be \(x\)

Therefore, (70 + 88 + \(x\))/3 = 76

(158 + \(x\))/3 = 76

158 + \(x\)= 228

\(x\)= 228-158 = 70

Hence, the test score of the third test has to be 70 in order to get an average of 76 in the final marks.

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To find the probability that a student break lasts more than 7 minutes, we can use the z-score formula to standardize the break time and then use the standard normal distribution table or a calculator to find the probability. The probability that a student break lasts more than 7 minutes is approximately 0.3745 or 37.45%.

Step 1: Calculate the z-score.
The z-score formula is given by:
z = (X - μ) / σ
where X is the break time, μ is the mean, and σ is the standard deviation. In this case, X = 7 minutes, μ = 6.3 minutes,

and σ = 2.2 minutes. Plugging in these values:
z = (7 - 6.3) / 2.2 ≈ 0.32
Step 2: Find the probability using the standard normal distribution table or a calculator.
Now that we have the z-score, we can find the probability that a student break lasts more than 7 minutes. We want to find the area to the right of the z-score (0.32) since we are interested in break times longer than 7 minutes.
Using a standard normal distribution table or a calculator, we find that the area to the left of z = 0.32 is approximately 0.6255. However, we want the area to the right of z = 0.32, which is given by:
Area to the right of z = 1 - Area to the left of z
Area to the right of z ≈ 1 - 0.6255 ≈ 0.3745.

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Answer:

You would need $18 total to buy the racks needed.

Step-by-step explanation:

First, every 20 CDs needs a new rack, so you would divide 120 by 20.

120 / 20 = 6 racks

Second, you would multiply the price ($3) of a rack by how many racks needed.

3 * 6 = $18

Based on the provided data, the p-value for determining whether or not there is a significant difference between the hourly wages of Company A and Company B is 0.0042. This analysis is only applicable to the specific sample sizes and population standard deviations provided, and may not be generalizable to other populations or data sets.

To determine if there is a significant difference between the hourly wages of Company A and Company B, we can conduct a two-sample t-test. Here's the step-by-step process:

1. Identify the given information:

Company A:
Sample size (n1) = 50
Sample mean (X1) = $16.75
Population standard deviation (σ1) = $1.00

Company B:
Sample size (n2) = 60
Sample mean (X2) = $16.25
Population standard deviation (σ2) = $0.95

2. Calculate the t-value:
t = (X1 - X2) / √((σ1²/n1) + (σ2²/n2))

t = ($16.75 - $16.25) / √(($1.00²/50) + ($0.95²/60))

3. Calculate the degrees of freedom (df):
df = min(n1-1, n2-1)

df = min(50-1, 60-1) = min(49, 59) = 49

4. Using a t-table or a calculator, find the p-value for the calculated t-value and degrees of freedom. In this case, the p-value is 0.0042.

So, the p-value is 0.0042.

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Answer:

(-8,-8)

Step-by-step explanation:

So in order to find the distance between those coordinates, you need to subtract the x axis coordinates and the y axis coordinates.

It'll look like this:

(-2-6) , (5-13)

-2-6= -8

5-13= -8

I also checked on a graphing calculator, so it should be correct.

(-8,-8)

Answer:

A negative exponent involves taking the inverse of the number, then multiplying it by itself once it's in the denominator of the fraction.

Answer:

I dont know about Sherelle, but Venita's grandmother can give a reason that as she is from older age, most probably, the coin can be in her bag...... And the coin, according to me will be in grandmother's bag....

Hope it helps!!!

24cm

1) We can find out the slant height of that cone by making use of the following:

2) Plugging into that we can write out:

Hence, the slant height is 24 cm

Answer:

rar

Step-by-step explanation:

rar

Answer: 666

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

pythagorean triple is 5-12-14 or use pythagorean theorem

b=\(\sqrt{ 13^{2} -12^{2} }=\\\sqrt{169-144} =\\\sqrt{25} =5\)

Answer: 5

Step-by-step explanation: The square root of 13²- 12²

Answer:

15 feet off the ground

Step-by-step explanation:

Hope this helps!

Answer:18

Step-by-step explanation:

1.5 times 12 =18

The maximum profit is 6 and it is obtained when we mix 0.6 kg of type A, 0 kg of type B, and 0.4 kg of type C.

The optimal mix for the maximum profit can be found as follows:

The company mixes three types of toffees, A, B, and C. Let the weights of type A, B, and C be a, b, and c kg, respectively. Let us assume that we are making 1kg of toffee pack. Therefore, the weight of type C should be 1 - (a + b) kg. Also, the mixture must contain at least 300 gms of type A i.e a >= 0.3 kg

Also, the weight of the first two types (A and B) must be at least equal to the weight of type C, i.e a + b >= c. This condition can also be written as a + b - c >= 0

Let us now calculate the total cost of making 1kg of toffee pack.

Cost = 20a + 10b + 5c

If the pack is sold at Rs. 17, then the profit per 1kg of toffee pack is by

Profit = Selling Price - Cost = 17 - (20a + 10b + 5c)

Now we have the following linear programming problem:

Maximize P = 17 - (20a + 10b + 5c)

Subject to constraints: a + b + c = 1 (since we are making 1kg of toffee pack)

a >= 0.3a + b - c >= 0a, b, c >= 0

We can use the simplex method to solve this linear programming problem. However, to save time, we can solve it graphically. The feasible region is as follows:

We can see that the corner points of the feasible region are: (0.3, 0, 0.7), (0.6, 0, 0.4), (0, 0.5, 0.5), and (0, 1, 0).

Let us calculate the profit at each of these corner points. For example, at the point (0.3, 0, 0.7), we have a = 0.3, b = 0, and c = 0.7. Therefore, the profit is

P = 17 - (20(0.3) + 10(0) + 5(0.7)) = 3.5

Similarly, we can calculate the profit at the other corner points as well. The corner point (0.3, 0, 0.7) gives a profit of 3.5

Corner point (0.6, 0, 0.4) result in a profit of 6

Corner point (0, 0.5, 0.5) results in a profit of 5

Corner point (0, 1, 0) gives a profit of 3

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The angular speed is 0.233 radian per second.

What is angular speed?

Angular speed is defined as the rate of change of angular displacement, and it is expressed as follows: ω = θ t where θ is the angular displacement, t is the time and ω is the angular speed.

given radius = 24 feet

distance covered = 5.6

First we will find the circumference

= 2πr

=48π

Time = 48π/5.6 = 26.91

Angular speed = 2π/TIME

=2π/26.91

= 0.233

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The tree diagram that represents the events is an illustration of probability and combination

To draw the tree diagram, we make use of the following representations:

See attachment for the tree diagram.

From the tree diagram, the sample space is as follows:

S = {HR, HY, HB, TR, TY, TB}

This is represented as: TY

From the sample space above, we have:

TY = 1

Hence, the number of outcomes that represents "Toss a tail, spin yellow" is 1

We have:

TY = 1

Sample size = 6

Hence, the  of tossing tails and spinning yellow is 1/6

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Answer:

191 ft above the ground

yw and brainliest would return the favor ;)

Step-by-step explanation:

To calculate the height of a kite, you need to know the distance from point D (the closer of the two measurement points to the kite) to the point directly under the kite, B. Once you know this distance then multiplying this by the tangent of angle b will give you the height.

In your case, you have let out 250 feet of string and the kite makes a 40 degree angle with the ground. To calculate how high above the ground is the kite, we can use trigonometry. The height of the kite is equal to 250 feet multiplied by the tangent of 40 degrees which is approximately 191 feet.

Answer:

Step-by-step explanation:

Part A: Based on the given graph, we can observe that as the temperature of the city increases, the number of people at the swimming pool generally tends to increase as well. This suggests a positive correlation between temperature and the pool's population. In other words, when it gets hotter, more people are likely to visit the swimming pool. The relationship is not strictly linear, but it shows a general trend of increasing pool population with increasing temperature.

Part B: To determine the line of best fit, we can calculate the approximate slope and y-intercept using the given data points. Let's select two points from the data, such as (2.5, 1) and (12, 12):

Slope (m) = (change in y) / (change in x)

= (12 - 1) / (12 - 2.5)

= 11 / 9.5

≈ 1.16

To find the y-intercept (b), we can choose one of the points and substitute the values into the slope-intercept form (y = mx + b). Let's use the point (2.5, 1):

1 = 1.16 * 2.5 + b

1 = 2.9 + b

b ≈ -1.9

Therefore, the approximate slope of the line of best fit is 1.16, and the approximate y-intercept is -1.9.

The goal is to determine the best multiple regression model for a given dataset. Multiple regression involves analyzing the relationship between a dependent variable and two or more independent variables.

The best model is determined by assessing its goodness of fit, which measures how well the model fits the data. Various statistical techniques can be used to evaluate and compare different models, such as the coefficient of determination (R-squared), adjusted R-squared, and significance tests for individual predictors. The chosen model should have a high R-squared value, significant predictors, and meet the assumptions of multiple regression. Multiple regression is a statistical technique used to examine the relationship between a dependent variable and multiple independent variables. The goal is to find the best model that accurately represents this relationship based on the available data. The first step is to gather the relevant data and identify the dependent variable and potential independent variables. Once the variables are selected, a regression model can be built by estimating the coefficients that represent the relationship between the variables.

To determine the best model, it is essential to assess the goodness of fit, which indicates how well the model fits the observed data. The coefficient of determination, often denoted as R-squared, is a common measure of goodness of fit. It ranges from 0 to 1, with higher values indicating a better fit. A high R-squared value suggests that a larger proportion of the variation in the dependent variable can be explained by the independent variables. However, R-squared alone may not be sufficient for model selection. Adjusted R-squared takes into account the number of predictors and degrees of freedom, providing a more reliable measure of model fit when comparing models with a different number of variables. A higher adjusted R-squared indicates a better fit while accounting for model complexity. Additionally, it is important to assess the statistical significance of individual predictors. This can be done by examining the p-values associated with the coefficients in the regression model. A low p-value (typically below 0.05) suggests that the predictor has a significant impact on the dependent variable. Moreover, it is crucial to ensure that the assumptions of multiple regression are met. These assumptions include linearity, independence, homoscedasticity (constant variance), and normality of residuals. Violations of these assumptions may indicate problems with the model or data. In conclusion, determining the best multiple regression model involves evaluating the goodness of fit, considering measures like R-squared and adjusted R-squared, assessing the significance of predictors through p-values, and confirming the adherence to regression assumptions. By carefully analyzing these factors, researchers can select the most appropriate model to explain the relationship between the dependent variable and the independent variables in their dataset.

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Answer:

0.2 ; 0.3 ; 0.1 ; 2

Step-by-step explanation:

X 0 1 2 3 4

P(X) 0.1 0.2 0.4 0.2 0,1

a) Find the probability of 1 tire with low air pressure P (1) :

From probability distribution table Given :

P(1) = 0.2

b) Find the probability of more than 2 tires having low air pressure P (more than 2) =

P(x > 2) = p(3) + p(4)

P(x > 2) = 0.2 + 0.1 = 0.3

c) P (all 4 tires)

From the table :

P(x = 4) = 0.1

d) Compute the expected number of tires with low air pressure.

E(X) = Σx * p(x)

E(x) = (0*0.1) + (1*0.2) + (2*0.4) + (3*0.2) + (4*0.1) = 2

The graph that represents the function p(x) = (x - 11) is not given in the question. However, to graph this function, you would start by plotting the point (11,0) as the y-intercept. Then, you would use the slope of 1 to plot additional points. For example, if you go one unit to the right from (11,0), you would go up one unit to (12,1).

Similarly, if you go one unit to the left from (11,0), you would go down one unit to (10,-1). You could continue this process to plot additional points and then connect them with a straight line to create the graph of the function. It seems like there are some typos and irrelevant parts in your question, but I'll help you with the core question.

The function you mentioned is p(x) = (x - 1)^2. This is a quadratic function, and its graph will be a parabola. The vertex of the parabola is at the point (1, 0), since the function is in the form (x - h)^2 where h is 1. The parabola opens upwards because the coefficient of the (x - 1)^2 term is positive. So, the graph representing the function p(x) = (x - 1)^2 will be a parabola with its vertex at (1, 0) and opening upwards.

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Answer:

Selling Price= $180

Step-by-step explanation:

100%×90=90

90+90=180

Answer:

15%

Step-by-step explanation:

55%-40% = 15% cocoa.

Therefore, The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true. If the p-value is less than the significance level, reject the null hypothesis; otherwise, fail to reject it.

To find the p-value from the t statistic on TI-84, you will need to perform a hypothesis test. Here are the steps:1. Enter your data into the calculator and choose the appropriate test.2. Calculate the t statistic by dividing the sample mean by the standard error.3. Determine the degrees of freedom. This is n-1 for a one-sample t-test or n1+n2-2 for a two-sample t-test. 4. Use the t-distribution table to find the critical value for your test.5. Calculate the p-value using the t-distribution function on the calculator.6. Compare the p-value to the significance level (usually 0.05) to determine whether to reject or fail to reject the null hypothesis.7.

Therefore, The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true. If the p-value is less than the significance level, reject the null hypothesis; otherwise, fail to reject it.

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Answer:

This suggests that as the distance of a house from the ocean increases by 1 km, the number of people willing to buy it decreases by 0.231.

What is regression line?

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At the end of the day, the temperature was -22°F.

-8-14 = -22

Answer:

5.1

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Don't Panic! pls mark brainliest

Answer:

HTML Formatting basically refers to the enhancing of text in order to increase the visual appeal. HTML provides a range of formatting tags that can be used to make the text attractive to the users. There are many options available that can be used for formatting, just like any other text editor.

Step-by-step explanation:

The required value of k is between 5 and 6 is represented by interval  5 ≤ k ≤6.

In mathematics, the range refers to the difference between the largest and smallest values in a set of numbers or data. In other words, it is the spread or extent of the data from the minimum to the maximum value.

Here,

The range is commonly used as a measure of variability in a dataset and can be helpful in understanding the distribution of the data. However, the range is sensitive to extreme values or outliers and may not always accurately represent the spread of the data.

All values between 5 and 6, including 5 and 6, are possible values for k.
Thus, the required value of k is between 5 and 6, 5 ≤ k ≤6.

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Answer: \(x=\frac{1}{6}\)

Step-by-step explanation:

To find x, we want to isolate x.

\(\frac{1}{2}x+\frac{2}{3} =\frac{3}{4}\)           [subtract both sides by \(\frac{2}{3}\)]

\(\frac{1}{2} x=\frac{9}{12} -\frac{8}{12}\)        [subtract]

\(\frac{1}{2} x=\frac{1}{12}\)                [multiply both sides by 2]

\(x=\frac{2}{12} =\frac{1}{6}\)

Now, we know that \(x=\frac{1}{6}\).