find the slope of the line that goes through the given points (-4,11) (-12,-1)

i need how to solve it for credit

In a hypothesis testing context, before examining the data, one should establish a null hypothesis and an alternative hypothesis.

Before conducting any analysis or collecting data, it is crucial to define the null hypothesis and the alternative hypothesis. The null hypothesis (H₀) represents the assumption of no effect or no difference between groups or variables, while the alternative hypothesis (H₁) represents the claim or hypothesis being tested. These hypotheses help define the question or statement that the researcher wants to investigate.

Formulating the null and alternative hypotheses before examining the data is important to ensure the hypothesis testing process is objective and guided by clear expectations. It helps to establish a framework for statistical analysis and allows for making informed decisions based on the evidence provided by the data.

Additionally, this initial step ensures that the hypothesis testing process remains rigorous and avoids potential biases that may arise from post hoc analyses.

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Answer:

-14.16 (repetitive 6)

Step-by-step explanation:

Following the order of operations:

-62 ÷ 12 - 2 (-7)

Parenthesis: -62 ÷ 12 - 2 - 7

No exponents

Multiplication and Division from left to right: -5.16 (6 is repetitive) - 2 - 7

Addition and Subtraction from left to right: -14.16 (6 is repetitive)

Hope this is helpful!

As the size of the alphabet approaches infinity, the number of possible permutations also increases. Consequently, the probability of fixing no letter decreases.

The probability that a permutation fixes no letter can be calculated by dividing the number of permutations that fix no letter by the total number of possible permutations.

In a permutation, a letter is fixed if it remains in its original position. So, for a permutation to fix no letter, every letter must be moved from its original position.

The number of permutations that fix no letter is known as derangements, and it can be calculated using the formula:

\(D(n) = n!(1/0! - 1/1! + 1/2! - 1/3! + ... + (-1)^n/n!)\)

As the size of the alphabet approaches infinity, the number of possible permutations also increases. Consequently, the probability of fixing no letter decreases.

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The probability that a randomly chosen permutation fixes no letter is 0, and this probability approaches 0 as the size of the alphabet approaches infinity.

The probability that a randomly chosen permutation fixes no letter can be calculated by dividing the number of permutations that fix no letter by the total number of possible permutations.

Let's consider an alphabet with n letters. The number of permutations that fix no letter is 0, because any permutation will always fix at least one letter.

As the size of the alphabet approaches infinity (n→∞), the probability that a randomly chosen permutation fixes no letter also approaches 0. This is because with an infinite alphabet, there will always be an infinite number of permutations that fix at least one letter.

Intuitively, this makes sense because as the size of the alphabet increases, the likelihood of randomly choosing a permutation that fixes no letter becomes increasingly unlikely. With an infinite alphabet, it is essentially impossible to choose a permutation that fixes no letter.

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Answer:

(1) Pr(none)= .71

(2) Pr(exactly 2)= .0154

(3) Pr(at least 1)= .29

(4) Pr(exactly 1)= .271

(5) Pr(exactly 3)= .000275

(6) Pr(at most 2)= .99

Bolded answers might be wrong, I am a bit unsure on those ones

Answer:

Step-by-step explanation:

1). 17 and 2

17 × 2 = 34 and 17 + 2 = 19

2). 7 and 4

3). 24 and 1

4). ( - 11) and ( - 3)

5). ( - 15) and ( - 2)

6). 22 and 3

Studies have shown that each one met increase in cardiorespiratory endurance can lead to a decrease in the risk of a fatal heart attack by approximately 7-10%. So, improving your cardiorespiratory fitness through regular physical activity can significantly reduce your risk of heart disease and related health problems.
Hi! Based on the available research, each MET (Metabolic Equivalent of Task) increase in cardiorespiratory endurance is associated with a decrease in the risk of a fatal heart attack by approximately 10-15%. It's important to note that these percentages may vary depending on the study and population being examined. Improving cardiorespiratory endurance through regular exercise can significantly contribute to reducing the risk of heart-related issues.

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Answer: 3.175%

Step-by-step explanation:

(63/100)(2/1)

Cross multiply = 200

Then divide 200÷63= 3.175

Answer:

39.69%

Step-by-step explanation:

\(\frac{63}{100}\) * \(\frac{63}{100}\) = .3969

Use the combination, there are 1680 ways to select the team of 3 men and 3 women from the 6 male and 9 female sales representatives.

To calculate the number of ways the team of 6 representatives can be selected, we can use the concept of combinations.

We need to select 3 men from a group of 6 male sales representatives and 3 women from a group of 9 female sales representatives.

The number of ways to select 3 men from 6 is given by the combination formula:

C(6, 3) = 6! / (3! * (6 - 3)!) = 6! / (3! * 3!) = (6 * 5 * 4) / (3 * 2 * 1) = 20.

Similarly, the number of ways to select 3 women from 9 is:

C(9, 3) = 9! / (3! * (9 - 3)!) = 9! / (3! * 6!) = (9 * 8 * 7) / (3 * 2 * 1) = 84.

To find the total number of ways to select the team of 6 representatives, we multiply these two combinations:

Total number of ways = C(6, 3) * C(9, 3) = 20 * 84 = 1680.

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Answer:

999,960

Step-by-step explanation:

let x be a multiple of 120

120x ≤ 999,999

999,999 / 120 = 8333.325

8333 ≤ x ≤ 8334

8333(120) = 999,960

8334(1200) = 1,000,080  this is a 7-digit number

Therefore, the largest 6-digit number that is exactly divisible by 120 is 999,960

Answer:

Step-by-step explanation:

Given

Solving in steps

The student's mistake was adding (-0.72) instead of - (-0.72) or 0.72

Answer:

To solve, you must use the inverse operation. In step 1, -0.72 should have been subtracted from both sides, not added. Otherwise, 0.72 should have been added to both sides, not -0.72.

Step-by-step explanation:

A)  annual percentage increase in the winner's check over this period is approximately 11595652.17%.

B)   if the winner's prize increases at the same rate, it will be approximately $3,651,682,684.48 in 2055.

a. To find the annual percentage increase in the winner's check over this period, we can use the formula:

Annual Percentage Increase = ((Final Value - Initial Value) / Initial Value) * 100

First, let's calculate the annual percentage increase in the winner's check from 1899 to 2020:

Initial Value = $23
Final Value = $2,670,000

Annual Percentage Increase = (($2,670,000 - $23) / $23) * 100

Now, we can calculate this value using the given formula:

Annual Percentage Increase = ((2670000 - 23) / 23) * 100 = 11595652.17%

Therefore, the annual percentage increase in the winner's check over this period is approximately 11595652.17%.

b. If the winner's prize increases at the same rate, we can use the annual percentage increase to calculate the prize money in 2055. Since we know the prize money in 2020 ($2,670,000), we can use the formula:

Future Value = Initial Value * (1 + (Annual Percentage Increase / 100))^n

Where:
Initial Value = $2,670,000
Annual Percentage Increase = 11595652.17%
n = number of years between 2020 and 2055 (2055 - 2020 = 35)

Now, let's calculate the prize money in 2055 using the given formula:

Future Value = $2,670,000 * (1 + (11595652.17 / 100))^35

Calculating this value, we find:

Future Value = $2,670,000 * (1 + 11595652.17 / 100)^35 ≈ $3,651,682,684.48

Therefore, if the winner's prize increases at the same rate, it will be approximately $3,651,682,684.48 in 2055.

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Not the best way to do it, but it should look something like this.

Answer:

5(d) = miles student A ran

8(d-3) = miles student B ran

Step-by-step explanation:

when d = days passed

5(d) = miles student A ran

8(d-3) = miles student B ran

Answer:

(-1/3; 4)

Step-by-step explanation:

(-2, -1) , (-1, 6 ) and (2, 7).​

x=(-2-1+2)/3= -1/3

y=(-1+6+7)/3=12/3=4

=> (-1/3; 4)

Answer:

24.59 m/s

Step-by-step explanation:

Average speed(m/s) = distance travelled(m) / time taken(s)

Distance = 220 miles

220 miles = 354,056 meters

Time taken = 4 hours

4 hours = 14,400 seconds

Average speed = distance travelled / time taken

= 354,056 / 14,400

= 24.59 meter/seconds

= 24.59 m/s

A poll was conducted with 331 Americans who had the option to go to college but did not. The results of the poll showed that 48% of the respondents did not go to college because they could not afford it.

This means that 48% of the 331 respondents chose not to go to college because they did not have the financial means to do so. It is important to note that this result is based on the sample of respondents who were surveyed and may not be representative of the entire population of Americans who did not go to college due to financial reasons.

It is also worth noting that the cost of college can vary widely depending on the institution, location, and field of study, among other factors. Therefore, the financial barriers to college may be different for different individuals and may require different solutions.  

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Full Question: Exercise 6.16 presents the results of a poll where 48% of 331 Americans who decide to not go to college do so because they cannot afford it.

Calculate a 90% confidence interval for the proportion of Americans who decide to not go to college because they cannot afford it, and interpret the interval in context.

lower bound: (please round to four decimal places)

upper bound: (please round to four decimal places) Interpret the confidence interval in context:

90% of Americans choose not to go to college because they cannot afford it

We can be 90% confident that the proportion of Americans who choose not to go to college because they cannot afford it is contained within our confidence interval

We can be 90% confident that our confidence interval contains the sample proportion of Americans who choose not to go to college because they cannot afford it

Answer:

\(\\ \frac{1}{8} e^{4a}-\frac{3}{4}e^{2a}+e^{a} -\frac{3}{8} \\\\or\\\\ \frac{e^{4a}-6e^{2a}+8e^{a}-3}{8}\)

Step-by-step explanation:

\(\\ \int\limits^{a}_{0} \int\limits^{x}_{0} \int\limits^{x+y}_{0} {e^{x+y+z}} \, dzdydx \\\\=\int\limits^{a}_{0} \int\limits^{x}_{0} [\int\limits^{x+y}_{0} {e^{x+y}e^z} \, dz]dydx \\\\\\=\int\limits^{a}_{0} \int\limits^{x}_{0} [e^{x+y}\int\limits^{x+y}_{0} {e^z} \, dz]dydx\\\\=\int\limits^{a}_{0} \int\limits^{x}_{0} [e^{x+y}e^z\Big|_0^{x+y}]dydx \\\\\\=\int\limits^{a}_{0} \int\limits^{x}_{0} [e^{x+y}e^{x+y}-e^{x+y}]dydx \\\\\\=\int\limits^{a}_{0} \int\limits^{x}_{0} e^{2x+2y}-e^{x+y}dydx \\\\\\\)

\(\\=\int\limits^{a}_{0} [\int\limits^{x}_{0} e^{2x}e^{2y}-e^{x+y}dy]dx \\\\\\=\int\limits^{a}_{0} [\int\limits^{x}_{0} e^{2x}e^{2y}dy- \int\limits^{x}_{0}e^{x}e^{y}dy]dx \\\\\\u=2y\\du=2dy\\dy=\frac{1}{2}du\\\\\\=\int\limits^{a}_{0} [\frac{e^{2x}}{2}\int e^{u}du- e^x\int\limits^{x}_{0}e^{y}dy]dx \\\\\\=\int\limits^{a}_{0} [\frac{e^{2x}}{2}\cdot e^{2y}\Big|_0^x- e^xe^{y}\Big|_0^x]dx \\\\\\=\int\limits^{a}_{0} [\frac{e^{2x+2y}}{2} - e^{x+y}\Big|_0^x]dx \\\\\)

\(\\=\int\limits^{a}_{0} [\frac{e^{4x}}{2} - e^{2x}-\frac{e^{2x}}{2} + e^{x}]dx \\\\\\=\int\limits^{a}_{0} \frac{e^{4x}}{2} -\frac{3e^{2x}}{2} + e^{x}dx \\\\\\=\int\limits^{a}_{0} \frac{e^{4x}}{2}dx -\int\limits^{a}_{0}\frac{3e^{2x}}{2}dx + \int\limits^{a}_{0}e^{x}dx \\\\\\u_1=4x\\du_1=4dx\\dx=\frac{1}{4}du_1\\\\\u_2=2x\\du_2=2dx\\dx=\frac{1}{2}du_2\\\\\\=\frac{1}{8}\int e^{u_1}du_1 -\frac{3}{4}\int e^{u_2}du_2 + \int\limits^{a}_{0}e^{x}dx \\\\\\\)

\(\\=\frac{1}{8}e^{u_1}\Big| -\frac{3}{4}e^{u_2}\Big| + e^{x}\Big|_0^a \\\\\\=\frac{1}{8}e^{4x}\Big|_{0}^a -\frac{3}{4}e^{2x}\Big|_{0}^a + e^{x}\Big|_0^a \\\\\\=\frac{1}{8}e^{4x} -\frac{3}{4}e^{2x} + e^{x}\Big|_0^a \\\\\\=\frac{1}{8}e^{4a} -\frac{3}{4}e^{2a} + e^{a}-\frac{1}{8} +\frac{3}{4} -1\\\\\\=\frac{1}{8}e^{4a} -\frac{3}{4}e^{2a} + e^{a}-\frac{3}{8}\\\\\\\)

Sorry if that took a while to finish. I am in AP Calculus BC and that was my first time evaluating a triple integral. You will see some integrals and evaluation signs with blank upper and lower boundaries. I just had my equation in terms of u and didn't want to get any variables confused. Hope this helps you. If you have any questions let me know. Have a nice night.

Answer:

Sam has is 7/5 times the reciprocal of the total number of stamps in the new set.

Step-by-step explanation:

Let's start by finding out what fraction of the new set of stamps Sam has after adding 4/5 of the set to his collection.

Let the total number of stamps in the new set be x.

If Sam's collection initially had 3/5 of the new set, then the number of stamps in his collection before adding the new set would be:

3/5 * x = the number of stamps in Sam's collection before adding the new set

After adding 4/5 of the new set to his collection, Sam has:

3/5 * x + 4/5 * x = 7/5 * x

So Sam has 7/5 of the new set of stamps.

However, the problem asks for the fraction of the new set that Sam has, not the fraction of the total number of stamps in the new set.

To find the fraction of the new set that Sam has, we need to divide the number of stamps he has by the total number of stamps in the new set:

(7/5 * x) / x

Simplifying the expression:

(7/5) / 1

We can express this fraction in terms of x by multiplying both the numerator and denominator by 1/x:

(7/5) * (1/x)

Therefore, the fraction of the new set of stamps that Sam has is 7/5 times the reciprocal of the total number of stamps in the new set.

The  standard error of the sampling distribution for n = 52 is 0.0094, rounded to the nearest Hundredths.

The standard error of the sampling distribution of sample proportions for samples of size n = 32, 42, and n = 52, we first need to calculate the standard deviation (σ) of the population proportion, which is given by:

σ = sqrt [p * (1-p) / n]

Where p is the percentage of tight ends in the league who made a touchdown reception (p = 0.45) and n is the sample size.
For n = 32:

σ = sqrt [0.45 * (1-0.45) / 32] = 0.0805

The standard error (SE) of the sampling distribution of sample proportions is given by:

SE = σ / sqrt(n)

So, for n = 32:

SE = 0.0805 / sqrt(32) = 0.0143

The standard error for n = 32 is 0.0143, rounded to the nearest hundredths.

For n = 42:

σ = sqrt [0.45 * (1-0.45) / 42] = 0.0739

SE = σ / sqrt(n) = 0.0739 / sqrt(42) = 0.0114

Therefore, the standard error for n = 42 is 0.0114, rounded to the nearest hundredths.

For n = 52:

σ =\(\sqrt {0.45} * (1-0.45) / 52] = 0.0677SE = \sigma / \sqrt(n) \\= 0.0677 / \sqrt(52) = 0.0094\)

Therefore, the standard error for n = 52 is 0.0094, rounded to the nearest hundredths.

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Answer:

2.5.8.11.14.17

Step-by-step explanation:

Start from 2 and add 3 every time

The required experimental probability that the next batter will get a hit is 2/11.

A number that indicates how likely an event is to occur is called its probability. It is communicated as a number in the reach from 0 and 1, or, utilizing rate documentation, in the reach from 0% to 100 percent. The higher the probability, the more likely the event is to occur.

The experimental probability of an event happening is defined as the number of times the event occurs divided by the total number of trials or events.

In this case, we are given that 4 out of 22 batters have gotten a hit so far. Therefore, the experimental probability that the next batter will get a hit is:

P(hit) = Number of hits / Total number of batters

P(hit) = 4/22

Simplifying:

P(hit) = 2/11

Therefore, the experimental probability that the next batter will get a hit is 2/11.

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Answer:

Option B is correct

Answer:

B there is enough raspberries to make 4 pie they can 6 pies if they 2 more of raspberries

Answer: b. The sample should be chosen at random so that it is fair.

Step-by-step explanation:

One of the most important things when selecting a sample is that the sample must be totally random if the sample is not random (for example, selecting only the youngest people in a group or things like that) there is a high probability that the sample will be biassed towards something, so the study may not be really accurate for all the population.

The correct option is b. The sample should be chosen at random so that it is fair.

Answer:

510

Step-by-step explanation:

4,590/9=510

Answer:

i think the answer is 39,366

Step-by-step explanation:

sorry if im wrong

The inequality of the temperatures where yeast will NOT thrive is T < 90°F or T > 95°F

from the question, we have the following parameters that can be used in our computation:

Yeast thrives between 90°F to 95°F

For the temperatures where yeast will not thrive, we have the temperatures to be out of the given range

Using the above as a guide, we have the following:

T < 90°F or T > 95°F.

Where

T = Temperature

Hence, the inequality is T < 90°F or T > 95°F.

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Answer:

So infinite solutions

Step-by-step explanation:

Do all the parenthesis

6x-8=-8+6x

0=0

So infinite solutions

Answer:

There is an infinite number of solutions.

X  can have any value.

Explanation:

As it is a linear equation, it would appear that there is one solution.

But it might also be an identity.

Step-by-step explanation:

\(y = \sqrt{ \frac{x + 7}{x - 2} } \\ case1)x = 5 \\ y = \sqrt{ \frac{5 + 7}{5 - 2} } = \sqrt{ \frac{12}{3} } = \sqrt{4} = 2 \\ y = 2 \\ case2) \: y = 4 \\ 4 = \sqrt{ \frac{x + 7}{x - 2} } \\ squaring \: both \: side \\ {4}^{2} = { (\sqrt{ \frac{x + 7}{x - 2} } )}^{2} \\ 16 = \frac{ x + 7}{x - 2} \\ 16(x - 2) = x + 7 \\ 16x - 32 = x + 7 \\ 16x - x = 7 + 32\\ 15x = 39 \\ x = \frac{39}{15} = 2.6\)