vFind the LCD for the expressions 2x^(2)-x-12 and 1x^(2)-16. Hint: Find and enter only the LCD for the expressions. You do not need to find or rewrite the full equivalent rational expressions with numerators.

The probability that a flight between New York City and Chicago is less than 135 minutes is 0.6667, or approximately 0.67. This means there is a 67% chance that a randomly selected flight will take less than 135 minutes.

In the given problem, we are told that the time to fly between the two cities follows a uniform distribution, with a minimum of 120 minutes and a maximum of 150 minutes. In a uniform distribution, the probability of an event within a certain range is proportional to the length of that range. Therefore, to find the probability of a flight being less than 135 minutes, we need to calculate the length of the range from 120 to 135 minutes and divide it by the length of the entire distribution, which is 150 - 120 = 30 minutes.

The length of the range from 120 to 135 minutes is 135 - 120 = 15 minutes. Dividing this by the length of the entire distribution gives us 15/30 = 0.5, or 50%. However, since the distribution is continuous and the probability of exactly 135 minutes is zero (as the distribution is uniform), the probability of a flight being less than 135 minutes is slightly greater than 0.5. Thus, the correct answer is approximately 0.67.

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Answer:

87

Step-by-step explanation: im genius at math

Answer:

I think the slope would be (2,4)

Step-by-step explanation:

Becuse it rises by 2 and runs by 4

Answer:

1/3

Step-by-step explanation:

9 Shirts, 3 are Red

Probability: 3/9

Simplify: 1/3

In this case, the number of successes is the number of defective bulbs and the probability of success is 3/75 or 0.04.

The probability model can be expressed as follows: X ~ B(75, 0.04), where X is the number of defective bulbs in a sample of 75 bulbs, and B(75, 0.04) denotes a binomial distribution with 75 trials and a probability of success of 0.04. The probability of observing k defective bulbs can be calculated using the probability mass function of the binomial distribution: P(X = k) = (75 choose k) * 0.04^k * 0.96^(75-k), where (75 choose k) represents the number of ways to choose k defective bulbs out of 75.
Using this probability model, we can calculate the probabilities of various events, such as the probability of having no defective bulbs (P(X = 0)), the probability of having exactly one defective bulb (P(X = 1)), the probability of having at least one defective bulb (P(X >= 1)), and so on.

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In this case, the number of successes is the number of defective bulbs and the probability of success is 3/75 or 0.04.

The probability model can be expressed as follows: X ~ B(75, 0.04), where X is the number of defective bulbs in a sample of 75 bulbs, and B(75, 0.04) denotes a binomial distribution with 75 trials and a probability of success of 0.04. The probability of observing k defective bulbs can be calculated using the probability mass function of the binomial distribution: P(X = k) = (75 choose k) * 0.04^k * 0.96^(75-k), where (75 choose k) represents the number of ways to choose k defective bulbs out of 75.

Using this probability model, we can calculate the probabilities of various events, such as the probability of having no defective bulbs (P(X = 0)), the probability of having exactly one defective bulb (P(X = 1)), the probability of having at least one defective bulb (P(X >= 1)), and so on.

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Answer:

\(2.\bar{81}mm\)

Step-by-step explanation:

First the formula for find the are of a trapezoid is:

\(A = \frac{h(a+b)}{2}\)

Where \(a\) is the top, \(h\) the height and \(b\) the base measures.

Then we need to know what is the base (\(b\)), for that isolate \(b\) from the equation

\(2A = h(a+b)\\\frac{2A}{h} = a+b\\\frac{2A}{h} - a = b\)

Then in the new equation replace the given values:

\(A = 65mm^2\\a = 9mm\\h = 11mm\)

\(\frac{2 \cdot 65mm^2}{11mm} -9mm = b\\\frac{130mm^2}{11mm} -9mm = b\\11.\bar{81}mm -9mm = b\\2.\bar{81}mm = b\)

So the final answer is \(2.\bar{81}mm\)

since it starts at 135 and doubles every week f(n)=135*2^n-1

so for example after 4 weeks it would be f(4)=135*2^4-1=135*2^3=135*2*2*2=1080

Answer:

6u - 10

Step-by-step explanation:

Given

6(u - 2) + 2 ← distribute parenthesis

= 6u - 12 + 2 ← collect like terms

= 6u - 10

Women make up 64% of the sample and are typically the household's main investment.

There is a correlation between American women and being the main provider in their home.

Descriptive statistics, also known as brief informative coefficients, are used to summarize a specific data collection, which may be a sample of a population or a representation of the entire population. Descriptive statistics include measures of variability and central tendency (spread). Measures of central tendency include the mean, median, and mode, whereas measures of variability include the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness.

For instance, the sum of the following data set is 20: (2, 3, 4, 5, 6). A 4 (20/5) is the mean. A data set's mode is the number that appears most frequently, while its median is the value that is in the middle of the range of values. It is the value that separates a data set's higher values from lower values. There are many less common ways to use descriptive statistics, but they are nevertheless essential.

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The correct question is - Suppose a survey of 580 women in the United States found that more than 64​% are the primary investor in their household. Which part of the survey represents the descriptive branch of​ statistics? Make an inference based on the results of the survey.

Answer:

2 × pi × radius

..................

An appropriate assignment of digits to carry out the simulation to estimate the number of packages that would need to be randomly selected in order to find a package that was not delivered on time when a shipping company claims that 95% of packages are delivered on time is

01 - 05 = Packages delivered not on time

06 - 100 = Packages delivered on time

Random numbers are numbers selected from a set of limited or unlimited numbers without a particular pattern for prediction. In this case the student can generate random numbers from a limited pool of digits from 1 to 100 using any random number generator like excel.

Given that 95% of packages are delivered on time. Based on this statement we can assign that 95% of these generated random numbers represent packages delivered on time, here that is 06 - 100.

Hence random numbers from 01 - 05, the 5% of generated random numbers represents the packages not delivered on time.

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The derivative of the function  are f'(7) = 93 and f'(-8) = -117

To evaluate the derivative of the function \(f(x) = 7x^2 - 5x + 7\)at specific values, we need to find the derivative of the function first. The derivative, denoted as f'(x), represents the rate of change of the function with respect to x.

To find f'(x), we can apply the power rule for derivatives, which states that for a function of the form \(f(x) = ax^n\), where a is a constant and n is any real number, the derivative is \(f'(x) = nax^(n-1)\). Applying this rule to each term of f(x), we get:

\(f'(x) = d/dx(7x^2) - d/dx(5x) + d/dx(7)\)

= 14x - 5

Now, we can evaluate f'(7) and f'(-8) by substituting the respective values of x into f'(x):

f'(7) = 14(7) - 5 = 98 - 5 = 93

f'(-8) = 14(-8) - 5 = -112 - 5 = -117

Therefore, f'(7) = 93 and f'(-8) = -117.

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Answer:

3/25

Step-by-step explanation:

probability of getting 1 cream filled and 1 jelly donut = (Total number of cream filled donut / total number of donuts) x (Total number of jelly filled donut / total number of donuts)

total number of donuts = 3 + 3 + 4 = 10

(3/10) x (4/10) = 12/100

to express in is simplest term, divide through by 4 = 3/25

Answer:

840

Step-by-step explanation:

7000×2×6 ÷ 100. since it is 2%

= 840

\(\\ \sf\longmapsto 500=50\times (1.23)^x\)

\(\\ \sf\longmapsto 1.23^x=10\)

\(\\ \sf\longmapsto 1.23^x=1.23^{11.12}\)(Used scientific calculator)

\(\\ \sf\longmapsto x=11.12\)

__________

\(\:\)

500 = 50 × \((1,23)^x\)

500 ÷ 50 = \((1,23)^x\)

10 = \((1,23)^x\)

\(\cancel{(1,23)}^{11,12}}\) = \(\cancel{(1,23)}^x\)

11,12 = x

Soo, Answer for Question 500 = 50 × \((1,23)^x\) its x = 11,12

The student is getting enough sleep because the student is sleeping for 7 hours 30 minutes. The inequality for the number of hours of sleep is x ≥ 7 hours.

For the student to be getting enough sleep, the student has to sleep for greater than 7 hours. The first step is to determine the number of hours slept.

In order to determine the time the student spent sleeping, subtract the time he slept from the time he woke up. Subtraction is the process that is sued to determine the difference between two or more numbers.

The sign that represents subtraction is -. In this case, 6 : 30am - 11 : 00pm = 7 hours 30 minutes. The sign to use is ≥ because the student can sleep for 7 hours or greater.

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The student is getting enough sleep.

The inequality that represents the number of hours a student should sleep each night is s ≥ 7 hours.

In order to determine if the student is getting enough sleep, we have to determine the total hours between 11:00pm and 6:30am. The total hours between 11:00pm and 6:30am is 7 hours 30 minutes.  7 hours 30 minutes is greater than 7 hours. Thus, the student is getting enough sleep.

Here are inequality signs and what they mean:

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

The sign that would be used is, ≥ , the greater than or equal to sign

The total hours slept ≥ 7 hours

s ≥  7 hours

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Therefore, it would take approximately 10.246 hours for the satellite to fly 82000 miles.

We can use the concept of unit rate to solve this problem.

Given that the satellite flies 73680 miles in 9.21 hours, we can calculate the unit rate of the satellite's speed:

Unit Rate = Distance / Time

= 73680 miles / 9.21 hours

≈ 8004.55 miles/hour

Now, to find out how long it would take for the satellite to fly 82000 miles, we can use the unit rate:

Time = Distance / Unit Rate

= 82000 miles / 8004.55 miles/hour

Calculating this value:

Time ≈ 10.246 hours

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Answer:

trips, total riders

0 0

5 100

10 200

15 300

20 400

25 500

30 600

Answer:

100

200

300

400

500

600

Answer:

x=5.0

Step-by-step explanation:

First, figure out which trig function you are going to use.

In this problem you are dealing with the opposite side to the angle and the hypotenuse, and if you remember SOH CAH TOA, this requires sine.

sin (46) =opposite/hypotenuse

sin (46) =x/7

multiply both sides by 7 to get 7 * sin (46) = x

7 * sin (46) = 5.0

Hence x = 5.0

Answer: C

Step-by-step explanation:

The red graph is the result of reflecting the graph of y=f(x) across the x-axis and then translating 1 unit to the right.

Answer: The interest earned on a principal of $646 invested at an interest rate of 5% for three years is $96.9

The simple formula for interest is:

Simple Interest = Principal * Interest Rate * Time in years

          ?               =     646      *       5/100       *            3

          ?               =   9690/100

          ?               =  $96.9

The interest earned is $96.9

Brainliest pwease if the answer is correct!

The probability of being in the delay state for two consecutive periods in this traffic problem is π2, which can be calculated using the given information. The probability that in the long run the traffic will not be in the delay state is π1, which is also determined based on the given conditions.

In this traffic problem, we are given that the period considered is 30 minutes. Let's denote the probability of being in the delay state for one period as π1 and the probability of being in the delay state for two consecutive periods as π2.

Since the period considered is 30 minutes, the probability of transitioning from the no delay state to the delay state in one period is 1/30, while the probability of remaining in the delay state is 29/30 (assuming that the traffic condition remains constant within the period).To find the probability of being in the delay state for two consecutive periods (π2), we multiply the probabilities of being in the delay state for each period:

π2 = (29/30) * (29/30) = 841/900

This represents the probability of experiencing a delay in two consecutive periods.On the other hand, the probability that in the long run, the traffic will not be in the delay state (π1) is the complement of π2. In other words, it is the probability of not experiencing a delay in two consecutive periods:

π1 = 1 - π2 = 1 - 841/900 = 59/900

Therefore, the probability that in the long run the traffic will not be in the delay state is 59/900.

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Answer:

100 × 100 × 20 = 200,000

Step-by-step explanation:

here pls brainliest

The gas mileage of the European automobile is approximately 48.025 miles per gallon.

To convert gas mileage from liters per 100 kilometers (European standard) to miles per gallon (US standard), we can use the following conversion:

1 liter per 100 kilometers is approximately equal to 2.825 miles per gallon.

Given that the European automobile has a gas mileage of 17 (liters per 100 kilometers), we can calculate its equivalent gas mileage in miles per gallon as follows:

Gas mileage in miles per gallon = 17 (liters per 100 kilometers) * 2.825 (miles per gallon)

Gas mileage in miles per gallon = 48.025 miles per gallon

Therefore, the gas mileage of the European automobile is approximately 48.025 miles per gallon.

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Answer:

84

Step-by-step explanation:

Answer:

If you meant 3 [ ( 15-3 ) 2 ] + 4, the answer should be 73.

Step-by-step explanation:

3 [ ( 15-3 ) 2 ] + 4

= 3 [ ( 12 ) 2 ] + 4

= 3 [ 24 ] + 4

= 69 + 4

= 73

Based on the given information and performing a one-sample t-test, the conclusion is that if the population mean (μ) is greater than 30.8294 km per litre, we reject the null hypothesis.

Given:

Sample mean (x') = 30 km per litre

Sample standard deviation (s) = 3.5 km per litre

Sample size (n) = 50

Significance level (α) = 0.05 (5%)

Null hypothesis \((H_0)\): The mean petrol consumption of the new car is equal to or higher than that of the existing car.

Alternative hypothesis \((H_1)\): The mean petrol consumption of the new car is lower than that of the existing car.

We'll calculate the test statistic (t-value) and compare it with the critical t-value.

The formula for the t-value is:

t = (x' - μ) / (s / √n)

where μ is the population mean (mean petrol consumption of the existing car).

First, we need to calculate the critical t-value from the t-distribution table. Since we have a significance level of 0.05 and (50 - 1) degrees of freedom, the critical t-value for a one-tailed test is approximately -1.677.

Now, let's calculate the t-value:

t = (30 - μ) / (3.5 / √50)

To reject the null hypothesis, the t-value should be less than the critical t-value.

Simplifying the equation:

t = (30 - μ) / (0.495)

To find the critical value, we compare it with the calculated t-value:

-1.677 > (30 - μ) / (0.495)

Multiplying both sides of the inequality by 0.495:

-0.8294 > 30 - μ

Rearranging the inequality:

μ > 30 + 0.8294

μ > 30.8294

Therefore, if the population mean (μ) is greater than 30.8294 km per litre, we reject the null hypothesis in favor of the alternative hypothesis, concluding that the mean petrol consumption of the new car is lower than that of the existing car.

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The measure of m∠S is 116.3.

Parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

Parallelogram QRST.

m∠R = 63.7

Now,

We see that,

m∠R and m∠T are opposite angles.

So,

m∠T = 63.7 _____(1)

And,

m∠Q and m∠S are opposite angles.

So,

m∠Q = m∠S ______(2)

Now,

The sum of the four angles is 360.

So,

m∠R + m∠T + m∠Q + m∠S = 360

From (1) and (2),

63.7 + 63.7 + 2m∠S = 360

127.4 + 2m∠S = 360

2m∠S = 360 - 127.4

2m∠S = 232.6

m∠S = 232.6/2

m∠S = 116.3

Thus,

The measure of m∠S is 116.3.

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The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

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Answer: x = -3 and x = 2

Step-by-step explanation:

The generated emf when it is running as a generator= 238.16V

The generated emf as a motor taking 60A= 236.12V

The Resistance of the machine= 0.102

The connected voltage = 230V

The formula for emf; E= V +IR

The generated emf when it is running as a generator,

= 230 + (80*0.102)

= 230 + 8.16

= 238.16V

The generated emf as a motor taking 60A;

= 230 + (60 * 0.102)

= 230 + 6.12

= 236.12V

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