A nonstop train travels between Pearl River and Hoboken. On its trip south, traveling at a constant speed, it makes it from Pearl River to Hoboken in 1 hour and 6 minutes. On its return trip north, the train increases its speed by 10 miles per hour, and takes 42 minutes to reach Pearl River from Hoboken.

What was the train's original speed (on its trip south) in miles per hour?

Answer: 0

Step-by-step explanation:  6-(2)(3)                                                                       6-6                                                                                                                             0

Answer:

Step-by-step explanation:

difference=1-(-12)=13°F

Answer:

Step-by-step explanation:

Using the unit circle to find sin 240 and cos 240, without using a calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.

To find sin 240 and cos 240 without a calculator, we can use the unit circle, which is a circle with radius 1 centered at the origin in a two-dimensional coordinate system. The unit circle provides a convenient way to define the sine and cosine of an angle in terms of their coordinates on the circle.

The sine of an angle is the y-coordinate of the point on the unit circle corresponding to that angle, and the cosine of an angle is the x-coordinate of the point on the unit circle corresponding to that angle.

For an angle of 240 degrees, we can find the corresponding point on the unit circle by constructing a line from the origin to the point on the circle.

we can see that the y-coordinate of the point is negative, so sin 240 = -sin (240 - 180) = -sin 60 = -1/2.

The x-coordinate of the point is also negative, so cos 240 = -cos (240 - 180) = -cos 60 = -√3/2.

We can use a calculator to check our answers by entering sin(240) and cos(240) with parentheses around the 240, as requested by the calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.

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To simplify the expression 3(sin⁸ - cos⁸) + 4(cos⁶ - 2sin⁶), we'll use the identity for the difference of squares and the identity for the square of a binomial.

First, let's focus on the expression sin⁸ - cos⁸. We can rewrite this using the identity for the difference of squares as follows: sin⁸ - cos⁸ = (sin⁴)² - (cos⁴)² = (sin⁴ + cos⁴)(sin⁴ - cos⁴) Next, we can use the identity for the square of a binomial, which states that

(a + b)² = a² + 2ab + b²,

to expand

(sin⁴ + cos⁴)² as follows:

(sin⁴ + cos⁴)² = sin⁸ + 2sin⁴cos⁴ + cos⁸

Now we can substitute

sin⁸ - cos⁸ with (sin⁴ + cos⁴)(sin⁴ - cos⁴)

and simplify:

sin⁸ - cos⁸ = (sin⁴ + cos⁴)(sin⁴ - cos⁴) = (sin⁴ + cos⁴)(sin⁴ + cos⁴)(sin² - cos²)

= (sin⁴ + cos⁴)(sin² - cos²)² = (sin² + cos² - 2sin²cos²)(sin² - cos²)² = (1 - 2sin²cos²)(sin² - cos²)²

Now we can substitute this expression into our original equation:

3(sin⁸ - cos⁸) + 4(cos⁶ - 2sin⁶) = 3(1 - 2sin²cos²)(sin² - cos²)² + 4(cos⁶ - 2sin⁶)

We can further simplify by factoring out 2sin² from the second term:

3(1 - 2sin²cos²)(sin² - cos²)² + 4(cos⁶ - 2sin⁶) = 3(1 - 2sin²cos²)(sin² - cos²)² + 4(2sin²cos²cos⁴ - 2sin⁶) = 3(1 - 2sin²cos²)(sin² - cos²)² + 8sin²(cos⁴ - sin⁴)

This is the final simplified form of the expression.

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Answer:

4

Step-by-step explanation:

A mode is the number having the highest frequency, that is, the number which occurs the most times. (The number which occurs the most here is 4, there are two 4s. You only have one of the rest of the numbers.)

Given:

An elf makes 15 present in 1 hour and 30 minutes, that is 90 minutes.

The time taken to make one present by the elf is,

The time taken to make 8 presnt is,

Thus, the time taken by an elf to make 8 present is 0.8 hours.

Answer:

8

Step-by-step explanation:

look at the graph

Answer:

8

Step-by-step explanation:

h(6) is the same as x = 6

all you have to do is find the y value on the line that corresponds with the x value

Answer:

x = 12 or \(\sqrt{144}\)

Step-by-step explanation:

Find the length of x for one side of the triangle first. To do this, use the Pythagorean Theorem which states: a² + b² = c² or in this case c² - a² = b². c² is 45 and a² is 3*3 or 9. Subtract 45-9 to get 36. Find the square root of 36 to get 6. The opposite side is also going to have a missing side length of 6 so add 6+6 to get 12 as x.

Hope it helps!

Answer:

The answer is 27,000,000

Answer:

8+7, 2(4+3.5), 7+8

Step-by-step explanation:

Answer:

Slope intercept form:y=mx+c

y=1/2x-7

Answer:

1.01111 is the right answer

The two number which lies between 1 and 1.11111 be : 1.01111 and 1.00111

A fraction represents a part of a whole or, more generally, any number of equal parts.

Given number is :

\(1 < \;\;\; < \frac{10}{9}\)

1<     <1.11111

The number would be 1.01111 and 1.00111

There would be many number between this don't take the whole number, we just have to find number between 0 to 11111.

So,

1<1.00111<1.01111<1.11111

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The expected values of the raffle ticket for you are given as follows:

For the PTO, the expected values are given as follows:

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

For you, the distribution is given as follows:

Hence the expected value for one ticket is given as follows:

E(X) = 62/280 - 4 x 279/280

E(X) = -$3.76.

For twelve tickets, the expected value is given as follows:

12 x -3.76 = -$45.12.

For the PTO, we use the inverse signals, as the distribution is the inverse, that is:

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Answer:

You have to cite that specific person's answer. So, if Bob Bobby answered the question 1+1, then you would cite Bob Bobby's answer.

Step-by-step explanation:

Answer:

you would credit wickly because that is the place you got it from it would be different if bob told you directly or he had his own website but that is not the case.

Step-by-step explanation:

hope this helped!

-Miranda.C.

bro i will do it but just tell me the answer to question 1 cuz thats what it is referring too

The larger the sample size, the smaller the SEM, and the more precise our estimates of the population mean become. However, it is important to note that the SEM only reflects the amount of error due to chance factors, and does not account for any bias or systematic error in the sampling process.

The standard deviation of the distribution of the sample means (sampling distribution) for all possible samples of size 81 that could be drawn from the parent population is known as the standard error of the mean (SEM). The SEM is calculated by dividing the population standard deviation by the square root of the sample size. Therefore, if the population standard deviation is known, we can calculate the SEM by dividing it by the square root of 81. If the population standard deviation is unknown, we can estimate it using the sample standard deviation.
The SEM represents the amount of variability in the sample means that we would expect to see if we repeatedly drew samples of size 81 from the same population. In other words, the SEM tells us how much error we would expect to see in our sample means due to chance factors alone.
The SEM is an important measure in inferential statistics because it helps us to calculate confidence intervals and to perform hypothesis tests. In general, the larger the sample size, the smaller the SEM, and the more precise our estimates of the population mean become. However, it is important to note that the SEM only reflects the amount of error due to chance factors, and does not account for any bias or systematic error in the sampling process.

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Answer:

its b

count them!

Answer:B

Step-by-step explanation:

I am pretty sure it is b

Answer:

You didn't provide the radius of the semicircle.

Answer:

Hours are equal: 7.2

Cost of service are equal: 51.4

Step-by-step explanation:

Happy Paws:

y = 4.5h + 19

Woof Watchers:

y = 5.75h + 10

To solve for the hours are equal:

y = 4.5h + 19

y = 5.75h + 10 (Multiply by -1)

y = 4.5h + 19

-y = -5.75h - 10

0 = -1.25h + 9

-9 = -1.25h

h = 7.2

To solve for when the services are equal:

y = 4.5h + 19

y = 4.5(7.2) + 19

y = 32.4 + 19

y = 51.4

The estimated mean age, sample variance, and sample standard deviation for a prehistoric extended family group of 84 members in the southwestern United States are 14.5 years, 83.5 square years, and 9.1 years, respectively.

To estimate the mean age, we need to calculate the weighted average of each age group's midpoint using their respective frequencies.

The midpoint of the first class (1-10 years) is 5.5, the midpoint of the second class (11-20 years) is 15.5, the midpoint of the third class (21-30 years) is 25.5, and the midpoint of the fourth class (31 and over) is 35.5.

To calculate the weighted average, we multiply each midpoint by its respective frequency, sum these products, and divide by the total number of individuals:

x = \(\frac{5.5 x 35 + 15.5 x 22 + 25.5 x 20 + 35.5 x 7}{84}\) = 14.5 years

Therefore, the estimated mean age for this community is 14.5 years.

To calculate the sample variance and sample standard deviation, we first need to calculate the deviation of each observation from the mean. Then, we square each deviation, sum these squared deviations, and divide by n - 1 to get the sample variance.

Using the formula:

s2 = \(\frac{\sum_{i=1}^{n}(x_i - \bar{x})^2}{n-1}\)

sample variance as follows:

s2 = \(\frac{[(1-10-14.5)^2 \times 35 + (11-20-14.5)^2 \times 22 + (21-30-14.5)^2 \times 20 + (35.5-14.5)^2 \times 7]}{83}\) = 83.5

Therefore, the estimated sample variance for this community is 83.5 square years.

Using the formula:

s = \(\sqrt{s2}\)

The sample standard deviation can be calculated as follows:

s = \(\sqrt{83.5}\) = 9.1 years

Therefore, the estimated sample standard deviation for this community is 9.1 years.

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Answer:

sorry i clciked post by acciden.

Step-by-step explanation:

Answer:

y = \(\sqrt{55}\)

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

(altitude)² = product of parts of hypotenuse

then

y² = 11 × 5 = 55 ( take square root of both sides )

y = \(\sqrt{55}\)

Answer:

Step-by-step explanation:

242.55

According to the given percentages, it is found that there is a 67% probability that a randomly selected man between the age of 25 and 34 does not search for green technology.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

We have that 33% of men search for green technology, hence, there is a 100 - 33 = 67% probability that a randomly selected man between the age of 25 and 34 does not search for green technology.

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Answer: 3 11/20

Step-by-step explanation:

Answer:

3 55/100

Step-by-step explanation:

Since percents are out of 100, the fraction would be 355/100. Then you turn it into a mixed number, so 3 55/100.

(hope this helps!)

Speed^2 or velocity^2 because 12x12=144

It's looks like the Kinetic energy equation:

KE = 1/2mv^2

Hope this helps!

Answer:

Yes, he is able to make it in time.

Step-by-step explanation:

He has 45 minutes to travel .5 km and is moving at 12.5 m/min

Multiply 12.5 by 45 = 562.5m convert to km

So he is able to travel up to .562 km in 45 minutes

On a number line, 7.05 would be located

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

Number = 7.05

The analysis of its position s as follows:

So, the true statements are B and C.

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