The ratio of the number of stamps that Mon has to the number of stamps that Jenny has is 5 to 7. How many stamps does each of them have if Mon has 20 less stamps?

If the mean number of particles is exactly seven per mL, the probability that X is less than or equal to 1 is approximately 0.000911881965, or about 0.0912%.

If the mean number of particles is exactly seven per mL, we can assume that the distribution of X, the number of particles in a 1 mL sample, follows a Poisson distribution with λ = 7.

To calculate P(X ≤ 1), we need to find the cumulative probability of X taking on values less than or equal to 1.

P(X ≤ 1) = P(X = 0) + P(X = 1)

Using the Poisson probability mass function (PMF), we can calculate each term:

P(X = k) = (e^(-λ) * λ^k) / k!

Let's calculate each term:

P(X = 0) = (e^(-7) * 7^0) / 0! = e^(-7)

P(X = 1) = (e^(-7) * 7^1) / 1! = 7e^(-7)

Now, we can calculate P(X ≤ 1):

P(X ≤ 1) = e^(-7) + 7e^(-7)

Using a calculator, we can evaluate this expression:

P(X ≤ 1) ≈ 0.000911881965

Therefore, if the mean number of particles is exactly seven per mL, the probability that X is less than or equal to 1 is approximately 0.000911881965, or about 0.0912%.

To know more about probability refer here:

https://brainly.com/question/14950837#

#SPJ11

The total distanced travelled by me is 1086.74 mm approximately.

Use the Pythagorean theorem to calculate the total distance travelled.

The distance is the hypotenuse of a right triangle whose two legs are the lengths of Main Street and Division Street, respectively.

We know that West direction and South direction are in perpendicular direction with each other.

The Pythagorean theorem is used:

Total Distance² = 490² + 970²

Total Distance² = 240100 + 940900

Total Distance² = 1181000

Total Distance = √1181000

Total Distance = 1086.74 [Rounding off to nearest hundredth]

Hence the total distanced travelled by me is 1086.74 mm approximately.

To know more about Pythagorean theorem here

https://brainly.com/question/21926466

#SPJ4

The number such that the sum of 9 and the product of a number and -7 is 19 will be  -10/7.

The number system is a way to represent or express numbers.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

As per the given,

Let's say that number is x.

Sum of 9 and -7x

9 - 7x = 19

9 - 19 = 7x

x = -10/7

Hence "The number such that the sum of 9 and the product of a number and -7 is 19 will be  -10/7".

For more about the number system,

https://brainly.com/question/22046046

#SPJ1

The simple random sample provided a sample mean of X and a sample standard deviation of Y.

A simple random sample is a subset of individuals selected randomly from a larger population. The sample mean (X) represents the average value of the variable of interest within the sample, while the sample standard deviation (Y) measures the dispersion or spread of the data around the sample mean. The sample mean is calculated by summing up all the values in the sample and dividing it by the sample size. The sample standard deviation is calculated by taking the square root of the variance, which is the average of the squared differences between each value and the sample mean.

The sample mean is a useful statistic as it provides an estimate of the population mean, assuming the sample is representative of the population. It is often used to make inferences about the larger population. On the other hand, the sample standard deviation indicates the variability within the sample. A smaller standard deviation suggests that the data points are closer to the sample mean, while a larger standard deviation indicates greater variability or dispersion.

It is important to note that the sample mean and sample standard deviation are statistics calculated from the sample and are subject to sampling variability. To make more accurate inferences about the population, it is often necessary to use inferential statistics, such as confidence intervals or hypothesis testing. These techniques take into account the sample size, sample mean, and sample standard deviation to draw conclusions about the population parameters.

Overall, the simple random sample provided a sample mean of X and a sample standard deviation of Y, which are essential measures to understand the central tendency and dispersion of the data within the sample.

Learn more about standard deviation here

https://brainly.com/question/24298037

#SPJ11

Answer:

$67.22 each month

Step-by-step explanation:

Find how much Nick's grandparents will pay for by multiplying 4400 by 0.45:

4400(0.45)

= 1980

Subtract 1980 from 4400 to find how much Nick will have to save:

4400 - 1980

= 2420

Nick has 3 years to save for his tuition, meaning that he has 36 months to save (since there are 12 months in a year).

Find how much he has to save each month by dividing 2420 by 36:

2420/36

= 67.22

So, Nick will have to save approximately $67.22 each month

Without seeing the scatterplot or the data, it is difficult to determine the exact value of x that has the largest absolute prediction error.

However, in general, the x-value with the largest absolute prediction error is typically the x-value that is farthest away from the regression line.

To calculate the prediction error for a given x-value, you can first calculate the predicted y-value for that x-value using the equation of the regression line. Then, you can subtract the actual y-value for that x-value from the predicted y-value to get the prediction error.

The absolute value of the prediction error represents the magnitude of the difference between the actual and predicted values, regardless of whether the prediction was too high or too low. Therefore, to find the x-value with the largest absolute prediction error, you can calculate the absolute prediction error for each x-value and then identify the x-value with the largest value.

To learn more about  scatterplot refer below:

https://brainly.com/question/30017616

#SPJ11

We can use the formula for compound interest: A = P(1 + r/n)^(nt), where A represents the amount owed, P is the principal amount, r is the interest rate.

a) To find the amount owed at the end of the first year, we substitute the given values into the compound interest formula. Since the interest is compounded annually, n = 1. Therefore, the calculation is as follows:

A = 3000(1 + 0.02/1)^(1*1)

A = 3000(1 + 0.02)^1

A = 3000(1.02)

A = 3060

Therefore, the amount owed at the end of the first year is $3060.

b) To calculate the amount owed at the end of the second year, we use the same formula but with t = 2:

A = 3000(1 + 0.02/1)^(1*2)

A = 3000(1 + 0.02)^2

A = 3000(1.02)^2

A = 3000(1.0404)

A = 3121.20

Thus, the amount owed at the end of the second year is $3121.20.

In summary, DeAndre borrows $3000 with a 2% compounded interest rate. Using the compound interest formula, we find that the amount owed at the end of the first year is $3060, and at the end of the second year is $3121.20. The formula takes into account the principal amount, interest rate, compounding frequency, and the number of years to calculate the amount owed.

Learn more about compound interest: brainly.com/question/28020457

#SJP11

Answer:

$150

Step-by-step explanation:

CP = 100/(100 - L%) × SP

CP = 100/(100 - 20) × 120

CP = 100/80 × 120

CP = 5/4 × 120

CP = 5 × 30

CP = $150

Answer:

12

Step-by-step explanation:

19.50-4.50=15

15÷1.25=12

Answer:

x = 117 degrees

Step-by-step explanation:

Find the diagram attached

From the diagram, the angle at the top left on line t is equal to theta of the top left on line u and is equal to 117 degrees (corresponding angle)

Also the angle angle on the top left on line u will be equal to x (vertically opposite angle)

Hence the value of x = 117 degrees (vertically opposite to each other on line u)

Answer:

Anna, Quarters are worth more than dimes

Step-by-step explanation:

While they both have 102 coins, quarters have a higher value than dimes do. Every 4 quarters is a dollar, so 102 divided by 4 is 25.5. Every 10 dimes is a dollar, divide 102 by 10 and you get 10.2.

Answer:

Anna has more money than Jasmine. Anna has $25.50 while Jasmine has $10.20. There is a $15.30 difference.

Step-by-step explanation:

While they both have 102 coins, quarters have a higher value than dimes do. Every 4 quarters is a dollar, so 102 divided by 4 is 25.5. Every 10 dimes is a dollar, divide 102 by 10 and you get 10.2.

The new triangle will we get by a scale factor of 1/2 from a centre of enlargement (10,2)

To enlarge a triangle by a scale factor of 1/2 from a center of enlargement,

Plot the coordinates of the triangle on a graph.

Draw a line from each vertex of the triangle to the center of enlargement.

Measure the length of each line and multiply it by the scale factor of 1/2.

Using the same angle as the original line, draw a new line from each vertex that is the length determined in step 3.

The new vertices of the triangle are where these new lines intersect.

Hence, the new triangle will we get by a scale factor of 1/2 from a centre of enlargement (10,2)

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ4

Answer:

4

Step-by-step explanation:

Hope this helps :)

The estimated monthly payment for Brian's home loan would $1413.52.

To calculate the best estimate of the monthly payment for Brian's home loan, we can use the formula for calculating a fixed-rate mortgage payment.

The formula for the monthly payment of a fixed-rate mortgage is:

M = P * (r * (1+r)^n) / ((1+r)^n - 1),

where M is the monthly payment, P is the principal amount (loan amount minus down payment), r is the monthly interest rate, and n is the number of monthly payments.

In this case, Brian's principal amount is $220,000 - $22,000 = $198,000 (loan amount minus down payment). The monthly interest rate is 3.5% / 12 = 0.0029 (converted from annual interest rate to monthly rate), and the number of monthly payments is 180.

Plugging in these values into the formula, we get:

M = $198,000 * (0.0029 * (1+0.0029)^180) / ((1+0.0029)^180 - 1).

M = $198,000 * (0.0029 * (1+0.0029)^180) / ((1+0.0029)^180 - 1)

M = $1413.52

Evaluating this expression gives us the best estimate of the monthly payment. However, the calculation involves complex mathematical operations, and it is recommended to use a financial calculator or spreadsheet software to obtain an accurate estimate.

Note: It's important to consult with a financial advisor or a mortgage professional to get precise and personalized information about mortgage terms, interest rates, and monthly payments based on individual circumstances and loan options available.

For more such questions on monthly payment

https://brainly.com/question/27926261

#SPJ8

Answer:

2.5x + 20 = y

Step-by-step explanation:

first, assign a variable to each unknown:

since we don't know how many videos were rented, that can be x, and we don't know the person's total cost, which can be y

x = number of videos rented

y = total cost

so there's always a $20 that's added on as a membership fee, which means that theres going to be a + 20 somewhere.

So, the equation is 2.5x + 20 = y

Answer:

Arf ( its 128 units)

Step-by-step explanation:

Answer:

e = 3

Step-by-step explanation:

we need to do inverse operations

6 + 6 = 12

12 divided by 4 = 3

e = 3

Check:

4(3) - 6 = 6

Answer:

e = 3

Step-by-step explanation:

The first step in solving an equation that has a variable is to isolate it. The variable is the unknown number and it is usually what you are trying to find the value of (x is the sign most used to represent a variable).

In order to isolate the variable in the equation 4e - 6 = 6, add 6 to both sides of the = sign:

4e - 6 = 6

   + 6 = + 6

4e - 6 + 6 = 6 + 6

We add 6 because doing so will cancel out the -6, leaving only e.

4e = 12

Now, because the question is asking for the value of e and not 4e, the next step is to divide both sides by 4:

\(\frac{4e}{4}\) = \(\frac{12}{4}\)

After dividing, the equation is shown as e = 3, which would be your answer.

The exponential function that models the percentage as a function of P is given as follows:

P(t) = 100(0.705)^t.

The standard definition of an exponential function is given as follows:

y = a(b)^x.

In which:

The parameters for this problem are given as follows:

Hence the function that models the data in the table is defined as follows:

P(t) = 100(0.705)^t.

More can be learned about exponential functions at brainly.com/question/30113628

#SPJ1

Answer:

-8,6

Step-by-step explanation:

all of the other answers are within the highlighted area of tha graph and thus are solutions but -8,6 is outside the highlighted area

Answer:

approximately 43 - 44 minutes exact

Answer:

It would take you 2917 hours.

Step-by-step explanation:

Do 777,777,777 divided by 266,560.

I hope this helped at all.

Answer: true

Step-by-step explanation:

Answer: True

Step-by-step explanation: Has to be true if a b and c are all numbers

Given data:

The initial value of the temperature is T= 31 degrees Fahrenheit.

The temperature drop is T'= 15 degrees .

The expression for the final value of the temperature is,

Substitute the given values in the above expression.

Thus, the final temperature is 16 degrees Fahrenheit.

Sample size with  a probability of 0.95.

How to calculate sample size?

To calculate the required sample size, we can use the following formula:

n = [ (zα/2 * σ) / E ]^2

where:

n = sample size

zα/2 = the z-score associated with the desired level of confidence (in this case, 0.95) from the standard normal distribution's upper tail, which can be found using a z-table or calculator (it is approximately 1.96)

σ = the population standard deviation (which is given as 1.8 inches in Exercise 7.43)

E = the desired margin of error (which is 0.4 inches in this case)

Plugging in the values, we get:

n = [ (1.96 * 1.8) / 0.4 ]^2

n = (3.528 / 0.4)^2

n = 8.82^2

n ≈ 78.1

Therefore, the anthropologist should sample at least 79 men to achieve the desired objective of having the difference between the sample mean and population mean be less than 0.4 inches with a probability of 0.95.

Learn more about sample size

brainly.com/question/30885988

#SPJ11

With probability 0.95. she should sample  339 men to achieve this objective

To determine the sample size needed to achieve the desired accuracy with a given level of confidence, we can use the formula:

n = (zα/2 * σ / d)²

where:

zα/2 is the critical value of the standard normal distribution for a two-tailed test with level of significance α (in this case, α = 0.05 and zα/2 = 1.96)

σ is the population standard deviation (which we don't know, so we'll use a conservative estimate of 3 inches, based on previous studies of height variability)

d is the maximum allowable difference between the sample mean and the population mean (d = 0.4 inches)

Plugging in these values, we get:

n = (1.96 * 3 / 0.4)²

n = 338.27

We need to round up to the nearest integer, so the anthropologist should sample at least 339 men to achieve the desired objective with 95% confidence.

Learn more about sample size

brainly.com/question/30885988

#SPJ11

Answer:

31.6 or 31 6/10 or 31 3/5

39.5/1.25 = 31.6

Jack gets 31.6 miles per gallon.

.25 = 1/4

.5 = 1/2

angle has a measure equal to the sum of the the question is ∠DQS.


According to the problem, we need to find an angle whose measure is equal to the sum of the measures of ∠SQR and ∠QRS. We can use the angle addition postulate which states that the measure of an angle formed by two adjacent angles is equal to the sum of their measures.

Let's consider angle ∠DQS. This angle is formed by adjacent angles ∠SQR and ∠QRS. Therefore, according to the angle addition postulate, the measure of angle ∠DQS is equal to the sum of the measures of ∠SQR and ∠QRS.



Thus, we can conclude that the angle ∠DQS has a measure equal to the sum of the measures of ∠SQR and ∠QRS.

To know more about angle visit:

https://brainly.com/question/31818999

#SPJ11

Answer:

its in the thousandths place

Step-by-step explanation:

so like the two is 0.002

Answer:

\(\left\{\begin{matrix}3x+4y+8z=36.65\\ 5x+3y+10z=37.50\\ 4x+5y+6z=43.35\end{matrix}\right.\)

Step-by-step explanation:

System of equations

Let's set the following variables:

x=Price of chocolate pumpkins

y=Price of masks

z=Price of candy witches

We'll establish the system of equations needed to know the prices of all the Halloween treats.

Cory bought 3 chocolate pumpkins, 4 masks, and 8 candy witches and he spent $36.65. This leads to the following equation:

\(3x+4y+8z=36.65\qquad\qquad [1]\)

Josh bought 5 chocolate pumpkins, 3 masks, and 10 candy witches and he spent $37.50. This leads to the following equation:

\(5x+3y+10z=37.50\qquad\qquad [2]\)

Dan bought 4 chocolate pumpkins, 5 masks, and 6 candy witches and he spent $43.45. This leads to the following equation:

\(4x+5y+6z=43.35\qquad\qquad [3]\)

Collecting the equations [1] [2] [3], we form the system of equations to represent this problem:

\(\left\{\begin{matrix}3x+4y+8z=36.65\\ 5x+3y+10z=37.50\\ 4x+5y+6z=43.35\end{matrix}\right.\)

Answer:

2 days

Step-by-step explanation:

12 - 4 = 8

8/3 = 2.7

Answer:

the answer is A

Step-by-step explanation:

y increases by 2(rise) and x increases by 3(run), so it would be 2/3