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Given that a continuous random variable x has a normal distribution with a mean of 12.25 and the probability that x is less than 13 is 0.82, we can use the symmetry of the density function to find the probability that x is greater than 11.50.

Since the normal distribution is symmetric, the probability of x being less than 13 is equivalent to the probability of x being greater than the mean minus 13. Therefore, P(x < 13) = P(x > 12.25 - 13).

To find the probability that x is greater than 11.50, we can use the same reasoning. We know that the probability of x being less than 11.50 is equivalent to the probability of x being greater than the mean minus 11.50. Therefore, P(x < 11.50) = P(x > 12.25 - 11.50).

To illustrate the computation, we can sketch the density curve of the normal distribution with the relevant regions shaded. The mean, 12.25, is the center of the distribution. We shade the region to the left of 13, representing P(x < 13), and shade the region to the right of 11.50, representing P(x > 11.50). By using the symmetry of the density function, we can see that the shaded region to the right of 11.50 is equal to the shaded region to the left of 13.

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Answer:

13 1/3

____

         \(1\:2/3 = 5/3\\1/8 = 1/8\\\\5/3 \div 1/8\\=\frac{5\cdot8}{3\cdot1}\\= \frac{40}{3}\\= 13\:1/3\)

When working with mixed numbers that are being divided, you know where to start. Start by converting mixed numbers to fractions, then multiply the fractions together to divide them. Simplify your improper fraction by counting how many times it surpasses the denominator.

Answer:

i is d i think so

Step-by-step explanation:

Answer:

it is A area of trapezoid = 1/2 × h( base1+base2) so it is 1/2× 8×(13+19)

Answer: -infinity, 4

Step-by-step explanation:

4 is the maximum value, but it could be any negative value if it continues going

Answer:

There are 2,520 unique permutations.

Step-by-step explanation:

When we have a set of N different elements, the total number of permutations is given by:

P = N! = N*(N - 1)*(N - 2)*...*(2)*(1)

Particularly, if out of these N elements, there are a given element that is repeated K times, then the permutations of these K elements actually do not add new unique permutations, then in that case the total number of unique permutations is:

P = N!/K!

And if we have another element that is repeated L times, then with the same reasoning than above, the total number of unique permutations is:

P = N!/(K!*L!)

Now, we have the set:

{C, E, A, S, E, L, E, S, S}

So we have a set of 9 letters, then:

N = 9

And, the letter S is repeated 3 times

The letter E is repeated 3 times

Then, using the above notation, we can define:

K = 3

L = 3

The total number of permutations is then:

\(P = \frac{9!}{3!*3!} = \frac{9*8*7*6*5*4*3*2*1}{3*2*1*3*2*1} = \frac{9*8*7*6*5*4}{3*2*1} = 2,520\)

So there are 2,520 unique permutations.

Answer:

sold 23 Tickets and 8 General Admission Tickets

Step-by-step explanation:

y = General Admission tickets

x = tickets

4x + 6y = 170

x + y = 31

Use the Substitution method:

4x + 6(31 - x) = 170

4x + 186 - 6x = 170

4x - 6x = -16

-2x = -16

x = 8

y = 31 - 8 = 23

The decimal equivalent of the hex number 0x3F is 63.

To convert the hex number 0x3F to its decimal equivalent, we need to multiply each digit by the corresponding power of 16 and sum them up.

Starting from the rightmost digit, we have:

Now, we multiply each digit by the corresponding power of 16:

Finally, we sum up the results:

(15 * 1) + (3 * 16) = 15 + 48 = 63

Therefore, the decimal equivalent of the hex number 0x3F is 63.

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Given,

1 inch = 2.5 feet

∴ Area of garden = ( 5 x 2.5)  x  ( 1.5 x 2.5)  feet

Since, 80% area will be used as path with  crashed rock,

therefore, 12.5 x (1.5 x 2.5)/ 100 x 100 x 10 feet

= 37.5 sq. feet

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Answer: c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The base number is 2, and it's being multiplied 7 times, so 7 is the exponent

Hope this helps!

If the equation Ax = b has multiple solutions, we can conclude that the transformation represented by matrix A is not one-to-one and not invertible.

If the equation Ax = b has more than one solution for some b, it implies that the transformation represented by matrix A is not invertible or not bijective.

To justify this, let's consider the implications of the equation having multiple solutions. If there are multiple solutions to Ax = b, it means that there are different vectors x₁ and x₂ that satisfy the equation. In other words, there exist two distinct inputs that produce the same output when multiplied by A. This violates the condition of a one-to-one transformation, which states that each input should have a unique output.

Furthermore, if A is not invertible, it means that there is no unique inverse matrix A⁻¹ that can be used to recover the original input x from the output b. Invertibility is a characteristic of one-to-one transformations, as it ensures that the transformation can be reversed to obtain the original input.

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Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

Answer:

55

Step-by-step explanation:

The horse travels 10 miles and hour and all ready travel 15, so do this equation.

y = 10x + 15 (plug in 4)

y = 10(4) + 15

y = 40 + 15

y = 55

Hope the Helps!!

The new coordinates of the image include the following:

W' (-1, 1)

X' (4, -1)

Y' (4, -5)

Z' (1, -7)

In Mathematics and Geometry, a reflection over or across the x-axis is represented by this transformation rule (x, y) → (x, -y). This ultimately implies that, a reflection over or across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate changes from positive to negative or negative to positive.

Next, we would apply a reflection over or across the x-axis to quadrilateral WXYZ;

(x, y)                →      (x, -y)

W (-1, -1)         →      (-1, -(-1)) = W' (-1, 1)

X (4, 1)           →      (4, -(1)) = X' (4, -1)

Y (4, 5)         →      (4, -(5)) = Y' (4, -5)

Z (1, 7)         →      (1, -(7)) = Z' (1, -7)

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Complete Question:

Quadrilateral WXYZ with vertices W (-1,-1), X (4,1), Y (4,5) and Z (1,7) reflected over the x-axis. What are the new coordinates of the image?

Let r be the mass of a red disc and b the mass of a blue disc.

7 blues have the same mass as 1 red along with a 5 kg mass, so

7b = r + 5

7b - r = 5

2 blues and 1 red have the same mass as a 4 kg mass, so

2b + r = 4

Solve for b and r . Notice that adding the equations together eliminates r :

(7b - r) + (2b + r) = 5 + 4

9b = 9

b = 1

Then

7 • 1 - r = 5

r = 7 - 5

r = 2

So each red disc has a mass of 2 kg, and each blue disc has a mass of 1 kg.

Option (A): "As the degrees of freedom increases the shape of the Chi-Square Distribution becomes more skewed" is a false statement.

Now, amongst the considered options, "As the degrees of freedom increases the shape of the Chi-Square Distribution becomes more skewed." (Option A) is not true, because:

As the degrees of freedom increases, the shape of the Chi-Square Distribution approaches a normal distribution and the graph of the Chi-Square Distribution looks more symmetrical.

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Answer:

I'm a genius

Step-by-step explanation:

-15/8 or -1.875

Answer:

The equation that relates distance, rate, and time is

       d  =  rt

Step-by-step explanation:

Answer:

I'm sure the answer is 34 8/10

Answer:

40

Step-by-step explanation:

here

3200/80

1600/40

800/20

400/10

40

This is very true for a function that is continuous.

Answer:

264 ft³

Step-by-step explanation:

The following data were obtained from the question:

Pi (π) = 3.14

Height (h) = 21 ft

Radius (r) = 2 ft

Volume (V) =..?

The volume of the cylinder can be obtained as follow:

V = πr²h

V = 3.14 × 2² × 21

V = 3.14 × 4 × 21

V = 264 ft³

Therefore, the of the cylinder is 264 ft³

The integral of (42³ - 2r + 7) dz is equal to (42³ - 2r + 7)z + C.

To integrate the function (42³ - 2r + 7) dz, we treat r as a constant and integrate with respect to z. The integral of a constant with respect to z is simply the constant multiplied by z:

∫ (42³ - 2r + 7) dz = (42³ - 2r + 7)z + C

where C is the constant of integration.

Note: The integral of a constant term (such as 7) with respect to any variable is simply the constant multiplied by the variable. In this case, the variable is z.

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Answers are as follows :

             2__                  3____                     6_________

         $104                $146                 $252(+$20= )$272

Explanation:

by subtracting the $20 from $62 you get $42.

he recieves 20$ regardless of wether he cleans a room or not so to find answer one must multiply 42 by how many rooms and add the $20

5645667788877766544334567

Answer:

m = -3/5

Step-by-step explanation:

-5m = 3

Divide each side by -5

-5m/-5 = 3/-5

m = -3/5

The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891

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

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)

Using the following trigonometry ratio

sin²(x) + cos²(x) = 1

We have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)

The sum to infinity of a geometric series is

S = a/(1 - r)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)

Evaluate the sum

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)

This gives

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)

Hence, the solution to the equation is 10.3891

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Answer:

scientific notation

= 2.34e8

scientific e notation

= 234 × 106

engineering notation

million; prefix mega- (M)

= 2.34 × 108

standard form

8

Order of Magnitude

for scientific and standard forms

= 234000000

(real number)

= two hundred thirty-four million

word form

Step-by-step explanation:

The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5

An equation is an expression that shows the relationship between two or more numbers and variables.

Solving the polynomial using completing the square:

2x² - 4x - 3 = 0

First divide through by 2:

x² - 2x - 3/2 = 0

add 3/2 to both sides:

x² - 2x - 3/2 + 3/2 = 0 + 3/2

x² - 2x = 3/2

add the square of half the coefficient x to both sides:

x² - 2x + 1 = 3/2 + 1

(x - 1)² = 2.5

taking square root:

x - 1 = ±√2.5

x = 1 ± √2.5

The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5

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Answer: Step 3

Step-by-step explanation: this is the right answer on the edge, hope this helps!