help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Both the computers will take 18 minutes to do the job together.

The slower computer sends all the company's email in 45 minutes.

The faster computer completes the same job in 30 minutes.

Let's take minutes t  to complete the task together.

As they complete one job, we get the following equation:

\(\frac{t}{45}\)+\(\frac{t}{30}\)=1

LCM of 45 and 30 is:

45 = 3 x 3 x 5

30 = 2 x 3 x 5

LCM = 2 x 3 x 3 x 5 = 90

Now, solving for t;

⇒\(\frac{2t+3t}{90} = 1\\\frac{5t}{90} =1\\5t=90\\\)

Dividing both sides by 5;

\(\frac{5t}{5}=\frac{90}{5}\)

We get t = 18

Hence, it will take both the computers 18 minutes to do the job together.

A company has two large computers. The slower computer can send all the company's emails in 45 minutes. The faster computer can complete the same job in 30 minutes. If both computers are working together, how long will it take them to do the job?

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P(3 to 7) = P(3) + P(4) + P(5) + P(6) + P(7).To solve the given probabilities, we can use the binomial probability formula:

P(x) = C(n, x) * p^x * (1 - p)^(n - x)

Where:

- P(x) is the probability of exactly x successes

- C(n, x) is the number of combinations of n items taken x at a time

- p is the probability of success for each trial

- n is the number of trials

Given that 8% (0.08) of all Americans live in poverty, and we are selecting 36 Americans randomly, we can calculate the following probabilities:

a) Probability that exactly 1 of them live in poverty:

P(1) = C(36, 1) * (0.08)^1 * (1 - 0.08)^(36 - 1)

b) Probability that at most 2 of them live in poverty:

P(at most 2) = P(0) + P(1) + P(2)

             = C(36, 0) * (0.08)^0 * (1 - 0.08)^(36 - 0) + C(36, 1) * (0.08)^1 * (1 - 0.08)^(36 - 1) + C(36, 2) * (0.08)^2 * (1 - 0.08)^(36 - 2)

c) Probability that at least 1 of them live in poverty:

P(at least 1) = 1 - P(0)

d) Probability that between 3 and 7 (including 3 and 7) of them live in poverty:

P(3 to 7) = P(3) + P(4) + P(5) + P(6) + P(7)

Using the formula and the provided values, we can calculate these probabilities.

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Answer:

-3 + 4 = 1

Step-by-step explanation:

-3 + 4 = 1

The only kind of data generated by observational research is correlations or patterns in the data that have been observed. By using correlations, one variable's value can be used to predict the value of another.

Explanation:

Accurate predictions using data correlation can be ensured by using a variety of methods. Firstly, it is important to ensure that the data is free from errors and is of high quality. This can be done by cleaning and validating the data to remove any inconsistencies and outliers. Secondly, it is important to analyze the data thoroughly and identify any patterns or trends. Furthermore, it is beneficial to use appropriate statistical tests and algorithms such as linear regression, logistic regression, and decision trees to identify the predictive relationships between the variables. Finally, it is important to evaluate the model’s performance to determine the accuracy of the predictions.

The most effective methods for ensuring accurate predictions using data correlation are:

1. Perform Exploratory Data Analysis: Exploratory data analysis is an essential step in any predictive modeling process. It involves exploring the data to identify patterns, trends, and relationships within the data. This helps to identify any potential issues or biases within the data that could affect the accuracy of predictions.

2. Use Statistical Tests: Statistical tests can be used to measure the strength of the relationship between two variables. These tests can help to identify which variables are most strongly correlated with each other and can help to determine which variables should be used in a predictive model.

3. Use Machine Learning Algorithms: Machine learning algorithms can be used to create predictive models that can identify and learn patterns in the data. These algorithms are particularly effective at identifying complex relationships between variables that may not be identified by statistical tests.

4. Validate Predictions: Predictions should always be validated to ensure that they are accurate and reliable. This can be done by comparing the predictions against known outcomes or by testing the model on a separate data set.

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Answer:

Step-by-step explanation:

in complementary angle sum of two angle is always 90 degree

let the other angle be x

x+73=90

x=90-73

x=17 degree

Hope this helps

Answer: 17 degree

Step-by-step explanation:

If the angle is 73 degrees, its complement (the angle that must be added to make it 90 degrees) is 17 degrees (from 90 - 73).

Answer:

333

Step-by-step explanation:

Answer:

Step-by-step explanation:

You simply need to assign 1 to n if you wanna know what is a1. Then, a1 turns to 6 cuz a1 means 3×1 + 3. Step by step, assign 2,3,4,5 to n and you'll get the right answers!

Answer:

-2

Step-by-step explanation:

Rate of change = y2/x2 - y1/x1

=> Rate of change = 2/-7 - (-6/-3)

=> Rate of change = 2 - (-6) / -7 - (-3)

=> Rate of change = 2 + 6 / -7 + 3

=> Rate of change = 8/-4

=> Rate of change = -2

So, the rate of change = -2

Answer:

Step-by-step explanation:

Apply the additive property of inequality. This is the idea where we can add the same number to both sides of the inequality. In this case, we would add 3 to both sides as the first step. Afterward, the next step is to multiply both sides by -2 to fully isolate x. This will flip the inequality sign.

Answer:

Step-by-step explanation:

I got you

Answer:

(x+36) (x-4)

Step-by-step explanation:

x²+32x-144=0

x²+36x-4x-144=0

x(x+36)-4(x+36)=0

(x+36) (x-4)

If you have a required return of 6% per year, compounded monthly, and you are offered an investment that will pay you $800 a month for 40 years, you would be willing to pay approximately $206,595.71 for this investment.

To determine the value you would be willing to pay for this investment, we can use the concept of present value. The present value of an investment is the current worth of the future cash flows it will generate. In this case, the investment will pay you $800 a month for 40 years.

To calculate the present value, we can use the formula:

\(PV = CF / (1 + r)^n\)

Where PV is the present value, CF is the cash flow, r is the required return per period, and n is the number of periods.

In this case, the cash flow is $800 per month, the required return is 6% per year (or 0.06/12 = 0.005 per month), and the number of periods is 40 years * 12 months = 480 months.

Plugging these values into the formula, we have:

PV = $800 / \((1 + 0.005)^(480)\)

Calculating this expression, we find that the present value is approximately $206,595.71. Therefore, you would be willing to pay approximately $206,595.71 for this investment to achieve your required return of 6% per year, compounded monthly.

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To convert percent to a number divide it by 100

Then to convert 838% to a number divide it by 100

To simplify divide up and down by 2

The improper fraction is 419/50 in the simplest form

The probability that the hospital's capacity will be exceeded is approximately 0.1095.

Given that 25 people have been exposed to a particular disease.

Each one independently has a 40% chance of contracting the disease. A hospital has the capacity to handle 10 cases of the disease.

To find:What is the probability that eight people will contract the disease?What is the probability that the hospital's capacity will be exceeded?

Solution:Let X be the number of people who contract the disease. Then X has a binomial distribution with parameters n=25 and p=0.40

(i) Probability that eight people will contract the disease:

P(X=8) = (25C8) (0.4)^8 (0.6)^17≈ 0.1460

(ii) Probability that the hospital's capacity will be exceeded:

P(X > 10) = 1 - P(X ≤ 10)P(X ≤ 10) = Σ (25Ck) (0.4)^k (0.6)^(25-k) for k = 0 to 10

Using a calculator or software, we get:P(X > 10) = 1 - P(X ≤ 10) ≈ 1 - 0.8905 ≈ 0.1095

Therefore, the probability that the hospital's capacity will be exceeded is approximately 0.1095.

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Answer:

grab objects

Step-by-step explanation:

barrels and things like that would most likely grab objects so the fish can have room to swim and stuff

Answer:

\(\frac{3}{5} *5\) or \(5*\frac{3}{5}\)

Step-by-step explanation:

Each circle has 3/5 shaded, and there are 5 circles.

So our multiplication equation is:

\(\frac{3}{5} *5\) or \(5*\frac{3}{5}\) (they mean the same thing)

\(\frac{3}{5} *5=3\)

Hope this helps!

83.52

A

Step-by-step explanation:

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\(\huge\text{Hey there!}\)

\(\mathsf{7(g - 10h + 4)}\)

\(\large\text{\underline{Distribute} \boxed{\text{7}} \underline{within the parentheses}:}\)

\(\mathsf{= 7(g - 10h + 4)}\)

\(\mathsf{= 7(g) + 7(-10h) + 7(4)}\)

\(\mathsf{= 7g - 70h + 28}\)

\(\large\text{We \boxed{\text{cannot}} do anything further because we do NOT have any \underline{like}}\\\large\text{\underline{terms}}\)

\(\huge\text{Therefore your answer should be:}\)

\(\huge\boxed{\mathsf{\mathsf{7g - 70h + 28}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

The dependent variable in this study is the time it takes participants to fall asleep. The independent variable is the condition in which participants fall asleep.

The alternative hypothesis is that falling asleep in front of a turned-on television will cause people to fall asleep more slowly compared to falling asleep in front of a turned-off television. This is a within-subjects design since participants experience both conditions.

The output shows that the mean time to fall asleep was shorter in the condition with the television turned off compared to the condition with the television turned on.

In this study, the researcher is investigating whether falling asleep in front of television affects the time it takes for people to fall asleep. The dependent variable, or the variable being measured, is the time it takes participants to fall asleep. The independent variable, or the variable being manipulated, is the condition in which participants fall asleep. There are two levels of the independent variable: (A) falling asleep in front of a television that is off, and (B) falling asleep in front of a television that is turned on to a 24-hour news channel.

The alternative hypothesis states that falling asleep in front of a turned-on television will cause people to fall asleep more slowly compared to falling asleep in front of a turned-off television.

The design of the study is within subjects, meaning that each participant experiences both conditions (A and B) on different nights.

Looking at the output, we see that the mean time to fall asleep in the condition with the television turned off is 52.40 minutes, while the meantime in the condition with the television turned on is 59.80 minutes. The paired differences show that, on average, participants took 7.40 minutes longer to fall asleep when the television was turned on. The 95% confidence interval for the difference in means is from -12.30 to -2.50, and the t-test indicates a significant difference between the conditions (p < 0.05).

Based on these findings, we can conclude that falling asleep in front of a turned-on television is associated with a longer time to fall asleep compared to falling asleep in front of a turned-off television.

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Answer:

30,000,000 or Thirty million -------> Ten millions place

Step-by-step explanation:

Hope this helps!

The answer is:

8 miles

Step-by-step explanation:

so, I understand, we have

(3m³)³

well, it is not very long, but the "exponent of an exponent" can be combined.

so, this expression is

3³m⁹ = 27m⁹

and that is the shortest form.

remember, if we multiply the same base multiple times with various exponents, we simply add the exponents.

like m³×m² = m⁵

if we we put a term with exponent again to the power of something, we multiply the exponents.

like (m³)² = m⁶

or (m⁵)⁴ = m²⁰

because

(m⁵)⁴ = m⁵×m⁵×m⁵×m⁵

and as before, we would now add the exponents.

5+5+5+5 = 20

and this is also, as we know from basic calculations

5×4 = 20

and also remember, when putting a term to the power of something, and that term consists of several factors (like 3 and m for 3m), then we need to apply that exponent to all factors.

The factors of the polynomial f (x) = x^5 - 7x - 22x³ + 44x² - 104x + 288 that is true for f (9) = 0 are (x - 9) and (x⁴ + 2x³ - 4x² + 8x - 32).

The factor theorem states that: if p(x) is divisible by x - a if and only if p(a)=0.

The polynomial expression x^5 - 7x - 22x³ + 44x² - 104x + 288 and f (9) = 0, then x - 9 = 0 is a factor. Applying long division as follows;

x^5 divided by x equals x⁴

x - 9 multiplied by x⁴ equals x^5 - 9x⁴

subtract x^5 - 9x⁴ from x^5 - 7x - 22x³ + 44x² - 104x + 288 will result to 2x⁴ - 22x³ + 44x² - 104x + 288

2x⁴ divided by x equals 2x³

x - 9 multiplied by 2x³ equals 2x⁴ - 18x³

subtract 2x⁴ - 18x³ from 2x⁴ - 22x³ + 44x² - 104x + 288 will result to -4x³ + 44x² - 104x + 288

-4x³ divided by x equals -4x²

x - 9 multiplied by -4x² equals -4x³ + 36x²

subtract -4x³ + 36x² from -4x³ + 44x² - 104x + 288 will result to 8x² - 104x + 288

8x² divided by x equals 8x

x - 9 multiplied by 8x equals 8x - 72x

subtract 8x - 72x from 8x² - 104x + 288 will result to - 32x + 288.

-32x divided by x equals -32

x - 9 multiplied by -32 equals -32x + 288

subtract -32x + 288 from- 32x + 288 will result to a remainder 0(zero).

We can then conclude the factors (x - 9) and (x⁴ + 2x³ - 4x² + 8x - 32) are the product of linear factors for the polynomial f (x) = x^5 - 7x - 22x³ + 44x² - 104x + 288 that makes it zero.

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The sum of the expressions 8x - 2 and - 3x² - 7 is, - 3x² + 8x - 9.

A quantity or number that is combined with a variable is known as a coefficient. The variable is often multiplied by an integer, which is then printed next to it.

Terms that have the same variables raised to the same power are referred to as like terms. The only difference is in the numerical coefficients.

Given, Two expressions, 8x - 2 and - 3x² - 7.

Now, Sum implies adding.

Therefore, The sum of 8x - 2 and - 3x² - 7 is,

(8x - 2) + (- 3x² - 7).

= - 3x² + 8x - 2 - 7.

= - 3x² + 8x - 9.

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ANSWER AND EXPLANATION

A negative derivative on a graph represents the points in the graph where the value of the function is decreasing.

Also, the slope of the tangent to that point (negative derivative) will be negative.

Therefore, from the graph given, we can locate a point of negative derivative:

To get the answer go to desmos

Answer:

2.2360679775 or 2.24

The rotation matrix for an anticlockwise rotation of 110° about the origin

To find the rotation matrix, we can use the following formula:

```

R = | cos(theta)  -sin(theta) |

   | sin(theta)   cos(theta) |

```

where theta is the angle of rotation. In this case, theta is 110°. Converting the angle to radians, we have theta = 110° * (pi / 180°) ≈ 1.9199 radians.

Now, substituting the value of theta into the formula, we get:

```

R = | cos(1.9199)  -sin(1.9199) |

   | sin(1.9199)   cos(1.9199) |

```

Calculating the cosine and sine values, we find:

```

R ≈ | -0.4470  -0.8944 |

   |  0.8944  -0.4470 |

```

Therefore, the rotation matrix that could be used to rotate the vector [1 1] anticlockwise by 110° about the origin is:

```

R ≈ | -0.4470  -0.8944 |

   |  0.8944  -0.4470 |

```

This matrix can be multiplied with the vector [1 1] to obtain the rotated vector.

Complete Question : Find the rotation matrix that could be used to rotate the vector [1 1] by 70° about the origin. Take positive angles to be anticlockwise.

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Let the number of day is expressed as d and number of workers as w.

So relation between number of workers and number of days is,

Substitute 72 for d and 5 for w in the equation to obtain the value of k.

The equation is,

Substitute 18 for w to determne the number of day.

So 20 days are required to build a house with 18 workers.

Answer is 20 days.