What is the surface area of a cylinder when r = 3 centimeters and h = 4 centimeters?

The mean number of points scored is the average of points scored

The mean number of points scored by Valerie is 7 greater than the mean numbers of points scored by Sophia.

The given parameters are:

Calculate the difference (d) between the mean values

d = 15.5 - 8.5

Evaluate the difference

d = 7

Hence, the mean number of points scored by Valerie is 7 greater than the mean numbers of points scored by Sophia.

In (a), we have:

Mean absolute deviation of both = 2 points

Difference  = 7

Express as products

Difference = 2 * 3.5

Hence, 3.5 is a factor of the difference between the mean

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If a car is traveling at a constant rate of 50 miles per hour, we can determine how far it will travel in 12 minutes. We know that 1 hour is equivalent to 60 minutes. Therefore, 50 miles per hour is the same as 50/60 miles per minute, or 5/6 miles per minute.

To find the distance traveled in 12 minutes, we can multiply the speed by the time:distance = speed × time

= (5/6) miles/minute × 12 minutes

= 10 milesSo, a car traveling at a constant rate of 50 miles per hour will travel a distance of 10 miles in 12 minutes.

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The value of 2² + {[1 x (5 - 2)] x 3 using PEDMAS is 13.

To simplify the expression 2² + {[1 x (5 - 2)] x 3}, we will use PEDMAS

First, within the innermost parentheses, we have 5 - 2, which equals 3.

So the expression becomes: 2² + {[1 x 3] x 3}.

Next, we simplify the multiplication within the curly brackets: 1 x 3 equals 3.

= 2² + {3 x 3}.

Now, we evaluate the exponent 2², which means 2 raised to the power of 2. It equals 4.

= 4 + {3 x 3}.

Finally, we multiply within the curly brackets: 3 x 3 equals 9.

= 4 + 9.

Adding 4 and 9, we get the final result: 13.

Therefore, 2² + {[1 x (5 - 2)] x 3} equals 13.

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Answer:

Father 32, son 8

Step-by-step explanation:

A+B =40

(A+4)/3 = B+4

Answer:

40 + 4 + 4 = 48 years (present sum of ages of father and son)

Father : Son : Sum

   3      :   1    :    4

4 units = 48 years    

  1 unit = 48 years ÷ 4

            = 12 years

Father's present age = 3 × 12 years - 4 years

                                   = 36 - 4

                                   = 32 years

Son's present age = 12 years - 4 years

                              = 8 years

Answer:

i think it is .64

Step-by-step explanation:

Answer:

Step-by-step explanation:

After you know the equation of this line, you will be able to figure out the equation of the line that runs perpendicular to it. [11] To simplify. y − 6 = 3 2 ∗ ( x − 4) {\displaystyle {y}- {6}= {\frac {3} {2}}* ( {x}-4)} , first multiply all of the numbers in parentheses by the outer value to get.

Answer:

a option

Step-by-step explanation:

Refer to attachment.

Hope it helps :)

Step-by-step explanation:

To find extreme values, take the first derivative

\(y = - 3 {x}^{2} + 16x - 16\)

Solve the equation for x.

\(x = \frac{ - 16 + \sqrt{256 - 192} }{ - 6} \)

or

\(x = \frac{ - 16 - \sqrt{256 - 192} }{ - 6} \)

\(x = \frac{ - 16 + \sqrt{64} }{ - 6} \)

or

\(x = \frac{ - 16 - \sqrt{64} }{ - 6} \)

We then get

\(x = \frac{4}{3} \)

or

\(x = 4\)

So our extreme values occur at x=4/3 and x=4

Zeroes:

\( - {x}^{3} + 8 {x}^{2} - 16x\)

\( - x( {x}^{2} - 8x + 16)\)

\( - x(x - 4) {}^{2} \)

\( - x = 0\)

\((x - 4) {}^{2} = 0\)

\(x = 4\)

So we have a double root at 4, and a root of 0. We have two positive roots and one non negative root

End behavior:

Since we have a negative leading coefficient and a odd degree, as x becomes more positive, y will become negative and as x becomes more negative, y will become positive.

Answer:

Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers. They are different because Integers include all whole numbers and their negative counterpart e.g. … -4, -3, -2, -1, 0,1, 2, 3, 4,… is a rational number but not an integer. All rational numbers belong to the real numbers. If two numbers are at the same distance from 0 as in the case of 10 and -10 they are called opposites.

Step-by-step explanation:

a) The sample mean can be calculated by summing all the weights and dividing by the sample size. In this case, the sum of the weights is 34,820 grams, and the sample size is 26. Therefore, the sample mean is 34,820/26 = 1,339.23 grams (rounded to two decimal places).To calculate the sample standard deviation, we need to find the variance first.

The variance is the average of the squared differences between each weight and the sample mean. The sum of squared differences is 359,520, and dividing it by the sample size minus 1 (26-1 = 25) gives us the variance of 14,381.04. Taking the square root of the variance gives us the sample standard deviation, which is approximately 119.95 grams (rounded to two decimal places).

b) To plot the sample data in a histogram, we can group the weights into intervals and count the number of kittens falling into each interval. The histogram will show the distribution of weights. The suitability of the sample data for use in a confidence interval can be assessed by examining whether the data appear to be roughly Normally distributed.

c) To calculate a 96% confidence interval, we can use the formula: Confidence Interval = Sample Mean ± (Critical Value * Standard Error). The critical value for a 96% confidence interval with a sample size of 26 can be obtained from a t-distribution table or a statistical software.

For simplicity, let's assume the critical value is 2.056 (rounded to three decimal places). The standard error can be calculated by dividing the sample standard deviation by the square root of the sample size. In this case, the standard error is approximately 23.73 grams (rounded to two decimal places).

Therefore, the 96% confidence interval is 1,339.23 ± (2.056 * 23.73), which results in the interval (1,288.67, 1,389.79) (rounded to two decimal places). This means that we are 96% confident that the true mean weight of 8-week-old kittens in the population falls between 1,288.67 and 1,389.79 grams.

d) Based on the appearance of the sample data in the histogram, which can indicate if the data is roughly Normally distributed, we can make an assessment of the reliability of the confidence interval. If the sample data appears to be roughly Normally distributed, it suggests that the assumption of Normality holds, and the confidence interval is a reliable way of estimating the mean weight of 8-week-old kittens from the population.

However, if the sample data does not appear to be roughly Normally distributed, it may indicate that the assumption of Normality is violated, and the confidence interval may not be as reliable. Additionally, the sample size of 26 is relatively small, so caution should be exercised when generalizing the results to the entire population.

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Answer:

TRUE

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

#

Answer: 6

Step-by-step explanation: 10-4=6

Answer:

yeah this is 8 units to the x axis, I hope I'm right! See ya! Any question or comments, pls tell me, thanks!

Step-by-step explanation:

the answer: 2/10 or 1/5

Therefore, By using the formula actual distance = (Map distance) x (Scale ratio) the actual distance of 20 cm on the map of 1:32000 is 0.000625 km or 625 meters.

A ratio scale is a numerical scale with a genuine zero and uniform distances between adjacent points. The Kelvin scale is an illustration of a ratio scale. The actual zero point exists on a Kelvin scale.

Two locations that are close to one another are said to be adjacent points.

A scale of 1:32000 means that one unit of measurement on the map represents 32000 units of the same measurement in the real world.

To calculate the actual distance of 20 cm on the map,

We know,

Actual distance = (Map distance) x (Scale ratio)

Actual distance = (20 cm) x (1/32000)

Actual distance= 20/32000

Actual distance = 0.000625 km or 625 meters.

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∬R f(x, y) dA = ∬S f(u, v) |y - x| dA This transformation allows us to evaluate the integral over the parallelogram R by transforming it into the integral over the transformed region S using the variables u and v.

To transform the integral using the expressions u = xy and v = y - x in the parallelogram R, we need to find the Jacobian determinant of the transformation.

The Jacobian determinant is given by the expression:

J = ∣∣∣ ∂(u,v) ∂(x,y) ∣∣∣

Using the expressions for u and v, we can calculate the partial derivatives:

∂u/∂x = y

∂u/∂y = x

∂v/∂x = -1

∂v/∂y = 1

Substituting these partial derivatives into the Jacobian determinant expression, we have:

J = ∣∣∣ y  x  -1  1 ∣∣∣

Expanding the determinant, we get:

J = y - x

Now, we can use the transformation formula for integrals:

∬R f(x, y) dA = ∬S f(u, v) |J| dA

In this case, since R is the parallelogram, we can rewrite the integral as:

∬R f(x, y) dA = ∬S f(u, v) |y - x| dA

The absolute value of the Jacobian determinant |y - x| accounts for the change in orientation and scaling of the region during the transformation.

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Complete question is;

A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas. During one particular week, the two cars went a combined total of 1850 miles, for a total gas consumption of 50 gallons. How many gallons were consumed by each of the two cars that week?

Answer:

Car 1 consumed 30 gallons of gas.

Car 2 consumed 20 gallons of gas.

Step-by-step explanation:

Let x be number gallons consumed by car 1

Let y be number of gallons consumed by car 2

We are told that total gas consumption of 50 gallons. Thus;

x + y = 50 - - - - - eq(1)

We are told that the first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas and they went a combined total of 1850 miles. Thus;

35x + 40y = 1850 - - - - eq2

Let's make y the subject in eq(1),

y = 50 - x - - - - eq(3)

Putting 50 - x for y in eq 2 gives;

35x + 40(50-x) = 1850

35x + 2000 - 40x = 1850

-5x + 2000 = 1850

-5x = -150

x = 150/5

x = 30 gallons

Substitute 30 for x into eq 3,we have;

y = 50 - 30

y = 20 gallons

Thus;

Car 1 consumed 30 gallons of gas.

Car 2 consumed 20 gallons of gas.

Answer:

To find the greatest common factor (GCF) of the list of terms 30x^3, 110x^4, and 60x^5, we can begin by factoring each term into its prime factors:

30x^3 = 2 * 3 * 5 * x * x * x

110x^4 = 2 * 5 * 11 * x * x * x * x

60x^5 = 2 * 2 * 3 * 5 * x * x * x * x * x

Next, we can identify the common factors among the three terms. These are 2, 5, and x^3. The GCF is the product of these common factors:

GCF = 2 * 5 * x^3 = 10x^3

Therefore, the greatest common factor of 30x^3, 110x^4, and 60x^5 is 10x^3.

Step-by-step explanation:

Step-by-step explanation:

IF  x-4   is a factor, then putting in x = + 4    will make the polynomial = 0

5 ( 4^3) - 20 (4^2) - 5(4)  + 20   =   0    Yes...it is a factor

\(x - 4 = 0 \\ x = 4 \\ \)

substitute value of x in the function to see if it equals to zero , if not it won't be a factor of the function

\(5 {x}^{3} - 20 {x}^{2} - 5x + 20 = 0 \\ 5(4) ^{3} - 20( {4})^{2} - 5(4) + 20 = 0 \\ 5(64) - 20(16) - 20 + 20 = 0 \\ 320 - 320 - 20 + 20 = 0 \\ 0 = 0\)

so (x-4) is a factor for the function

The probability of X > 15.14 is approximately 0.0344 or 3.44%.

To find the probability of X > 15.14, we need to calculate the area under the normal distribution curve to the right of 15.14.

First, we need to standardize the value 15.14 using the formula:

Z = (X - \(\mu\)) / o

where Z is the standardized value, X is the given value, \(\mu\) is the mean, and o is the standard deviation.

In this case:

Z = (15.14 - 11.5) / 2

  = 3.64 / 2

  = 1.82

Next, we need to find the area under the standard normal distribution curve to the right of Z = 1.82. This can be done using a standard normal distribution table or a calculator.

Using a standard normal distribution table, we find that the area to the right of Z = 1.82 is approximately 0.0344.

Therefore, the probability of X > 15.14 is approximately 0.0344 or 3.44%.

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Answer:

The answer is b

Step-by-step explanation:

hope it helped bye :)

Answer:

(-2^2)^-6 / (2^-5)^-4  --->  2^-32

(2^2)^2  x  (2^3)^-3   --->  2^-5

2^4  x  (2^2)^-2  --->  1

(-2^-4)^-2  x  (2^2)^0  --->  2^8

Answer:

Here are the steps to find the area of a composite figure.

1. Split the composite figure into simpler shapes.

2. Find the area of each of the simpler shapes.

3. Add the area of all the simpler shapes together.

4. You'll have the area of the composite figure.

Let me know if this helps!

Answer:

-1.123m+0.3

or in fraction form -9/8m+3/10

Step-by-step explanation:

first you subtract 7/8 from 2

then you subtract again 9/10 from 3/5

Answer:

C

Step-by-step explanation:

the negative sign in -0.3 implies that it is below and the only answer choice with the word below is

C: New orleans is 0.3m below sea level

Arithmetic overflow error converting numeric to data type numeric can be solved by increasing the precision and the scale, storing number in different data type or use user-defined datatype.

An "arithmetic overflow error converting numeric to data type numeric" error occurs when you try to store a number in a numeric column that is too large to be represented by the specified precision and scale. To resolve this error, you have a few options:

Increase the precision and scale of the numeric column, you can increase the precision and scale of the numeric column so that it can store larger numbers.

If you don't need the precision and scale of a numeric column, you can store the number in a different data type, such as float or big int.

 If the number is too large to be represented in the numeric column, you can round it to a smaller value before inserting it into the database.

 If the number is still too large to be represented in a numeric column or a different data type, you can create a custom data type in SQL Server to store the number.

It's important to choose the right solution based on your requirements and the specific use case. You may also need to consider the performance implications of each solution, especially if the data being stored is very large or complex.

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Answer:

Uranus : 15

Saturn : 18

Step-by-step explanation:

Uranus = U

Saturn = S

1) U= S -  3

2) U+ S = 33

1)* U - S = -3

2)* U + S = 33

1)* + 2)*      2U = 30, so U = 15

Then Saturn will have 18 (because they add up to 33)

the correct answer of your question is 51.369047619

Answer:

48

Step-by-step explanation:

Answer:

48   because i divided it