What is the equation in slope-intercept form of the line that passes through the points (0, -4) and (2, 0)

Answer:

Step-by-step explanation:

The slope-intercept form of a linear equation is y = mx + b, where m is the slope (the rate of change) and b is the y-intercept (the point where the line crosses the y-axis).

To write this equation, we need to know the y-intercept and the slope.

The y-intercept is the initial amount of money in the savings account, which is $300.

The slope is the amount of money added to the savings account each month, which is $25.

So the equation in slope-intercept form is:

y = $25x + $300

This equation shows that for every month that goes by, Hallie's savings account will increase by $25 and the starting point is $300

Answer:

no solution

Step-by-step explanation:

3x + 6y = 27

x + 2y = 11

Divide both sides of the first equation by 3.

x + 2y = 9

x + 2y = 11

Subtract the first equation from the second equation.

0 = 2

Since 0 = 2 is false, this system of equations has no solution.

Step-by-step explanation:

the given pair (3, 2) is the length of the translation ?

it is really totally simple : you need to add the x value of the translation to the x-cordinate of each point. the same for the y value and the y- coordinates.

A' = (1 + 3, 4 + 2) = (4, 6)

B' = (2 + 3, -2 + 2) = (5, 0)

C' = (-3 + 3, 2 + 2) = (0, 4)

Given that a sofa is on sale for $363, which is 34% less than the regular price.

To determine: The regular price.

Let the regular price be Y. If the regular price is Y, then the 34%regular price would be

It should be noted that the 34 % less the regular price is the price on sale. Then,

Hence, the regular price of the sofa is $550

Answer:

Hello in order to complete this question we need the table. If you give the table I am sure you will get more helpful and accurate information

Step-by-step explanation:

The proportion of individuals who purchased organic products is 24.77%.

The target variable is the variable whose values are modeled and predicted by other variables. A predictor variable is a variable whose values will be used to predict the value of the target variable

The target variable (also called the dependent variable) used in the analysis for this tutorial is a categorical variable that differentiates clinicians in the study that indicated that they would be Highly Likely to Use Product X from those that had a Low Likelihood to Use the new product

Organic food is grown without the use of synthetic chemicals, such as human-made pesticides and fertilizers, and does not contain genetically modified organisms (GMOs). Organic foods include fresh produce, meats, and dairy products as well as processed foods such as crackers, drinks, and frozen meals.

According to the plot the distribution of target variable is as follows

0’s: 167181’s

5505

The proportion of individuals who purchased organic products are: 5505/22223

= 0.2477

=24.77%

That is around 24.77% people have purchased organic products.

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The estimated probability that all four randomly selected young American men are 68 inches or shorter is approximately 0.004 or 0.4%.

To calculate the probability that all four randomly selected young American men are 68 inches or shorter, we need to consider the probability for each individual man and multiply them together.

Let's assume that the probability of an individual young American man being 68 inches or shorter is p. Since we are selecting four men at random, the probability of each man being 68 inches or shorter is the same, and we can multiply their probabilities together.

The probability of one man being 68 inches or shorter is p. Therefore, the probability of all four men being 68 inches or shorter is p × p × p × p = p^4.

However, we are not given the specific value of p in the problem statement. If we assume that the height of young American men follows a normal distribution, we can look up the corresponding z-score for a height of 68 inches or shorter and use the standard normal distribution to estimate the probability.

For example, if we find that a height of 68 inches corresponds to a z-score of -1.0, we can use a standard normal distribution table or a calculator to determine the probability of a z-score less than or equal to -1.0. Let's say this probability is approximately 0.1587.

Therefore, the estimated probability that all four randomly selected young American men are 68 inches or shorter would be (0.1587)^4 = 0.004.

Thus, the probability is approximately 0.004 or 0.4% rounded to three decimal places.

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Answer:

Step-by-step explanation:

The tank also has a L = W = 30.7 cm

The amount of water it can hold is V = s^3

s = 30.7

V = 30.7^3

V = 28934.4 cm^3

If you want a different set of units, you are going to have to specify what they are.

Answer:30.7

Step-by-step explanation:

Wsp

Answer: 25 + 12.5v ≥ 170

Step-by-step explanation:

We already have the 25 reward points; it also gives the information that she gets 12.5 points for each visit. Because we don't know the amount she has gone to the theater or will go we have to use a variable; 12.5v. When we add them, we get 25 + 12.5v. The inequality we use is ≥ because it says "at least". When this is used that means it has to be equal to or greater and that is why use that sign and get the full equation;

5 + 12.5v ≥ 170

Answer:

55

Step-by-step explanation:

Answer:

24 square feet

Step-by-step explanation:

Please see the attached picture for full solution.

*Since 23.758 is greater than 23.5, we would have to round up the number to 24. Thus, the most suitable answer is 24 ft² and not 23 ft².

No, the equation solved is not correct.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Given that, an equation, -6 +2x = -10

The solution of step 2 is not correct because, 2 should be divided by every term in the equation, in the step 2, 2 is not divided by -6, the first term which is making the equation in correct,

The correct solution is as follows,

-6 +2x = -10

2x = -10+6

2x = -4

x = -2

Hence, the equation solved is not correct.

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Answer:

G

Step-by-step explanation:

when noticing the transitions of the variables from variable to variable prime, for example from K to K' (when it has an apostrophe that means its prime), only the y value is being changed. it is being turned negative

The probability of a sophomore attending the prom, given that they were selected from the group of sophomores, is:

P(will attend the prom|sophomore) = (number of sophomores attending the prom) / (total number of sophomores)

From the table, we see that the number of sophomores attending the prom is 10, and the total number of sophomores is 54 (10 + 17 + 27). Therefore:

P(will attend the prom|sophomore) = 10 / 54

Simplifying the fraction, we get:

P(will attend the prom|sophomore) = 5 / 27

So the probability of a sophomore attending the prom is 5/27 (18.519%).

The answer to this problem is dependent on the probability of each event separately. Since we don't have any given information on the likelihood of visiting Amazon or Pinterest, we'll have to make an educated guess. Let's assume that the probability of visiting Amazon is 60%, and the probability of visiting Pinterest is 50%.

We may calculate the probability of visiting both Amazon and Pinterest as independent events using the formula:

P(A ∩ B) = P(A) * P(B)

where, P(A) = probability of visiting Amazon

P(B) = probability of visiting Pinterest

Using our assumed probabilities, we have:

P(A) = 0.6P(B) = 0.5P(A ∩ B) = P(A) * P(B)= 0.6 * 0.5= 0.3

We expect the probability of visiting both Amazon and Pinterest to be 0.3. Therefore, if Amazon and Pinterest were independent events, there would be a 30% chance of visiting both Amazon and Pinterest when visiting either one.

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The number of trees more than 10m tall but not more than 20m tall is 18 trees.

0 < h ≤ 5 = 5

height greater than 0m less than or equal to 5m

5 < h ≤ 10 = 9

height greater than 5m less than or equal to 10m

10 < h ≤ 15 = 13

height greater than 10m less than or equal to 15m

15 < h ≤ 20 = 5

height greater than 15m less than or equal to 20m

20 < h ≤ 25 = 1

height greater than 20m less than or equal to 25m

The number of trees that are more than 10m tall but not more than 20m tall are;

10 < h ≤ 15 = 13

15 < h ≤ 20 = 5

So,

13 + 5 = 18 trees

Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.

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Answer:

Step-by-step explanation:

We need a picture of what you're talking about.

Answer:

-7/9

Step-by-step explanation:

The slope of the line is -7/9

12+2/-11-7=

14/-18=

7/-9=

-7/9

Answer:

The answer is -7/9

Step-by-step explanation:By using the Slope Formula (y2-y1)/(x2-x1) you label the the points ( y2=-2, y1=12), (x2=7, x1=-11) then you plug the answer into the formula -2-12/7- -11 then when you figure that out you get 14/18 but that's not the answer. You need to simplify it then the correct answer is -7/9

a) The stem and leaf plot of the data is illustrated below.

b) Based on the stem-and-leaf plot, it appears likely that a coupon will "survive" beyond 2000 cycles since there are data points in that range.

First, we separate the data into stems and leaves. The stem represents the tens place, while the leaves represent the ones place. For example, if a data point is 1223, the stem would be 122 and the leaf would be 3. By organizing the data in this manner, we can easily determine the frequency of values and observe any patterns that emerge.

Now let's construct the stem-and-leaf plot for the given data:

Stem | Leaves

------+-------

7 | 06 58 85 90 98

8 | 45 65 85 85 88 90 90 93 94 94 98

9 | 10 55 69 69 90 90 90 90 90 93 94 94 94

10 | 15 20 23 23 26 30 33 40 42 42 50 58 60 62 62 74 85 90

11 | 02 02 06 09 20 20 22 23 26 35 52 52 52 52 55 67 90 90

12 | 03 20 20 22 23 33 33 58 58 69 90 90

13 | 15 35 42 46 58 70 82 98

14 | 02 35 42 81

15 | 18 23 35 40 42 52 67 74

16 | 42 60 42

17 | 06 30 50 81

18 | 20 22 50 82

19 | 30 90 92

20 | 10 30 50 70 82

21 | 00 00 02

22 | 33 33 58 58 90

23 | 33 33

24 | 20 22

25 | 33 65

For instance, a stem value of 8 with leaves 45 indicates two data points: 845 and 885. The frequency of each data point can be determined by counting the number of leaves associated with each stem.

Now, let's address the question of whether it appears likely for a coupon to "survive" beyond 2000 cycles. To answer this, we examine the stem-and-leaf plot. We observe that the stem value of 20 contains several leaves greater than 0, indicating that there are data points in the 2000s range. Additionally, the stem values of 21 and 22 also have leaves, suggesting the presence of data points beyond 2000 cycles.

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Answer:

your picture is blank if you can fix it i will be glad to help you

Step-by-step explanation:

Answer:

First option

Step-by-step explanation:

The line corresponds to the f(x).

Hope this helps

The decrease in the number of pirates in the world correlates with an increase in mean global temperature is an example of a spurious correlation.

While there might be a statistical relationship between these two variables, it is not a causative one, and the correlation is likely coincidental.This is the importance of distinguishing between correlation and causation. In this case, the decrease in the number of pirates and the increase in mean global temperature are unrelated factors that happen to show a correlation when observed over time.

This is often used humorously to demonstrate the fallacy of assuming causation based solely on a correlation. It underscores the need for careful analysis and consideration of other relevant factors before making conclusions about causal relationships. In reality, factors such as greenhouse gas emissions, deforestation, and industrialization have a more significant impact on global temperature trends than the number of pirates in the world.

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You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

In graphical form, the normal distribution appears as a "bell curve".

The normal distribution is the proper term for a probability bell curve.

In a normal distribution the mean is zero and the standard deviation is1. It has zero skew and a kurtosis of 3.

Normal distributions are symmetrical, but not all symmetrical distributions are normal.

The t-distribution describes the standardized distances of sample means to the population mean when the population standard deviation is not known, and the observations come from a normally distributed population.

Therefore,

You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.

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Answer:

x=0

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

hope this helps

Step-by-step explanation:

6m+5-3m=7(m-1)

3m+5=7m-1

5+1=7m-3m

6=4m

6/4=m

3/2=m

I think it is correct .

Answer:

Step-by-step explanation:

\((x-4) (3x^{3} -6x+2)\)

= \(3x^{4} -6x^{2} +2x -12x^{3} +24x-8\)

= \(3x^{4} -12x^{3} -6x^{2} +26x-8\)

I hope this helps and the working out is clear.  :)

Answer:

The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.

Step-by-step explanation:

hope it help

Answer:

9.85

Step-by-step explanation:

|v|= √9²+(-4)²

=√81+16

=√97

|v|= 9.85

The distance between Vega 3 and the Mars (MV) illustrates cosine function, and the distance is 29.1 million light years or 142.8 million light years

From the question, we have the following parameters

See attachment for the illustration of the given parameters.

The distance between Vega 3 and the Mars (MV) is then calculated using the following cosine function

VS² = MS²+ MV² - 2 * MS * MV * cos(Ф)

This gives

4489 = 8649+ MV² -  171.96MV

Subtract 8649 from both sides

MV² -  171.96MV = -4160

Rewrite as:

MV² -  171.96MV + 4160 = 0

Using a graphing tool, we have:

MV = 29.1 and MV = 142.8

Hence, the distance between Vega 3 and the Mars is 29.1 million light years or 142.8 million light years

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Step-by-step explanation:

Given that,

The area of a blackboard is \(1\dfrac{1}{3}=\dfrac{4}{3}\ \text{yards}^2\)

The area of poster is \(\dfrac{8}{9}\ \text{yards}^2\)

We need to find the unit rate of the blackboard's area to the poster's area. So, it can be calcualted by dividing blackboard's area to the poster's area.

So,

\(\dfrac{\dfrac{4}{3}}{\dfrac{8}{9}}=\dfrac{4}{3}\times \dfrac{9}{8}\\\\=1.5\)

So, the rate of \(1.5\ \text{yard}^2\).

Using multiplication, we know that 6,603 bottles of water were sold in march by the store.

Multiplication's characteristics. Commutative Multiplication Property.

So, bottles of water the store sells in march:

Therefore, using multiplication, we know that 6,603 bottles of water were sold in march by the store.

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