On a test that has a normal distribution, a score of 34 falls two standard deviations below the mean, and a score of 46 falls two standard deviations above the mean.
Determine the mean of this test.

Answer:

x=24

y=25

Step-by-step explanation:

3y =75 by alternate interior angles theorem

y =25

4x+9+75=180

4x+84=180

4x=96

x=24

The value of x corresponds to option B: 10.5 as the figure provided has two congruent figures inside it.

From the given image, we can consider that that the two triangles- one for which side x is given, and another for which measurements of both sides are given- are congruent. This is because they both have one common side and one angle equal to another at a vertex (refer image).

Thus, we have:

(x / 19.3) = (3.9 / 7.2)

Then, attempting to find the value of x we have:

x = (3.9 / 7.2) × (19.3)

= 10.5

Therefore, option B gives the measure of the side x of the given triangle, where x = 10.5.

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Answer:

FOR ALL MY POINTS write an argumentative essay on why dog parks are "helpful or harmful"

READ PROMPT

Step-by-step explanation:

Answer:

Formula for the circumference of a circle =2pir

Since the diameter is 10m the radius is half of that which is 5m.

2×3.14×5=31.4m

Step-by-step explanation:

I hope this helps.Have a great day♡

Answer:

A, C and E.  

Step-by-step explanation:

\(70 \% \times 80\)

\(70/100 \times 80\)

\(560/10\)

\(=56\)

\(0.7 \times 80\)

\(=56\)

\(7/10 \times 80\)

\(=56\)

First

In = x

out =y

when x=0 , y=1

so in order to find the rule we have, because the one we have in x=0

y=kx+1

so we need to find k for example using x=2 y=7

7=k(2)+1

Then we isolate the k

2k=7-1

2k=6

k=6/2

k=3

so the rule is

y=3x+1

for x=5

y=3(5)+1=16

x=5 y=16

for y=25

25=3x+1

25-1=3x

24=3x

x=24/3

x=8 y=25

the missing values are

16

8

The probability that not a single invitation landed in the correct envelope is P(n) = D(n) / n! , where D(n) is the number of derangements of n objects.

The number of derangements of n objects is denoted by D(n).

The first few values of D(n) are given below: D(1) = 0 (trivially)D(2)

= 1 (the two objects must switch places)D(3)

= 2 (out of the six possible permutations, only two are derangements)D(4)

= 9 (out of the 24 possible permutations, nine are derangements)D(5)

= 44 (out of the 120 possible permutations, 44 are derangements)

The formula for the number of derangements is D(n) = n! × (1/0! - 1/1! + 1/2! - 1/3! + ··· + (-1)^n / n!), where n! is the factorial of n, 0! = 1 by definition, and (-1)^n is (-1) raised to the power of n.

Hence, we can find the probability that not a single invitation landed in the correct envelope as P(n) = D(n) / n!.

Thus, the probability that not a single invitation landed in the correct envelope is P(n) = D(n) / n! , where D(n) is the number of derangements of n objects.

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Each of Polina's juice pouches holds 7 fluid ounces of juice. A equation that connects the quantity of juice in each pouch to the overall amount in fluid ounces is p-7j=0.

Given that,

Each of Polina's juice pouches holds 7 fluid ounces of juice.

We have to create a equation that connects the quantity of juice in each pouch (p) to the overall amount (j) in fluid ounces.

The equation is p=7j

p-7j=0

Therefore, a equation that connects the quantity of juice in each pouch (p) to the overall amount (j) in fluid ounces is p-7j=0.

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A differential equation that is homogeneous doesn’t have any term that doesn’t involve the dependent variable or its derivatives. Mathematically, it’s possible to recognize a homogeneous equation since all its terms have the same degree. For example,

\(y” – 3xy’ + 2y = 0\)  is a homogeneous second-order differential equation, because the sum of the exponents of

y, y’, and y” is always equal to two, or the degree of the highest derivative in the equation. For this equation, a solution y = e^x is a physically reasonable option since it reflects the behavior of exponentially growing functions such as populations or economies.

Any linear combination of e^x and e^(-2x) would be a solution for this homogeneous equation. If the equation were not homogeneous, it could also include additional terms that would affect the behavior of the dependent variable and modify the physical interpretation of the problem.

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Answer:

As we know that

\(\sf 1 \:Foot=12inches \)

\({:}\longrightarrow\)\(\sf {\dfrac {7}{12}}\:of \; 12 \)

\({:}\longrightarrow\)\(\sf {\dfrac {7}{{\cancel {12}}}}\times{\cancel { 12 }}\)

\({:}\longrightarrow\)\({\underline{\boxed{\bf 7inches}}}\)

Answer:

406/125 or 3 31/125

Step-by-step explanation:

3 + 248/1000

3+31/125

(375+31)/125

406/125

^for mixed numbers I put a space in-between the number and fraction

Ex: 22/7 = 3 1/7

Joule per meter second is the unit of measurement for momentum flux or power per unit area. It is commonly used in physics and engineering to quantify the rate of energy transfer or momentum flow per unit area.

Joule per meter second (J/m^2s) is not the correct unit for momentum flux or power per unit area. The correct unit for momentum flux is Newton per square meter (N/m^2), also known as Pascal (Pa), while the correct unit for power per unit area is watt per square meter (W/m^2). The joule per meter second (J/m^2s) is actually the unit for volumetric energy dissipation rate, which measures the rate at which energy is being dissipated within a fluid volume per unit volume. It is used in the study of fluid dynamics and turbulence.

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Answer:

goto chrome and search spankbang

Step-by-step explanation:

thet the answer

The equation computed shows that the number of minutes that it will take to process fifteen passengers is 11.11 minutes.

Since Katrina averages fifteen passengers every twenty minutes and Stefon also works for the airline and averages fifteen passengers every twenty-five minutes, this can be represented this:

1/x = 1/20 + 1/25

1/x = 9/100

9x = 100

Divide through by 9

x = 100/9

x = 11.11 minutes

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The volume of the tool box is 350 cubic inches

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

dimensions of 10 in by 5 in by 7 in

The volume of the tool box is the product of the dimensions

So, we have

Volume = 10 * 5 * 7

Evaluate

Volume = 350

Hence, the volume of the tool box is 350 cubic inches

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Question

A tool box has the dimensions of 10 in by 5 in by 7 in

Calculate the volume of the tool box

Answer:

  see attached

Step-by-step explanation:

Given several diagrams showing centroids and various median measures, you want to find the requested unknown measures.

The centroid of a triangle divides its medians into parts with the ratio 2:1.

The longer part is 2 times the shorter part, and 2/3 the length of the whole.

The shorter part is 1/2 the longer part, and 1/3 the length of the whole.

The whole is 3 times the length of the shorter part, and 3/2 times the length of the longer part.

These are the relations required to find the unknown lengths in the given figures.

Answer:

yes

Step-by-step explanation:

Answer: 2x³-5x²-24x+63

Step-by-step explanation:

\((x-3)^2*(2x+7)=\\\\(x^2-6x+9)*(2x+7)=\\\\2x^3-12x^2+18x+7x^2-42x+63=\\\\2x^3-5x^2-24x+63\)

Y-b=m (x-a)

y- 4= -5 (x+2)

y- 4= -5x -10

y = -5x -6

Answer:

30

Step-by-step explanation:

Form an equation

41+x+x+71+90=180

x= -11

Substitute

41+(-11)=30

If a matrix is skew symmetric, then its diagonal must all be 0.

In a skew symmetric matrix, the transpose of the matrix is equal to the negative of the matrix itself, i.e., A^T = -A. Let's consider a generic skew symmetric matrix A. The transpose of A is obtained by interchanging its rows and columns. Now, when we equate the transpose of A with -A, we can compare the corresponding elements of both matrices.

The diagonal elements of A are the elements for which the row index is equal to the column index. Let's assume A has a non-zero diagonal element at position (i, i). In the transpose of A, this element will be at position (i, i) as well. However, in -A, the corresponding element will be at position (i, i) but with a negative sign. Since the transpose of A is equal to -A, we can conclude that the element at position (i, i) must be equal to its negative counterpart, i.e., -a = a, where a is a non-zero diagonal element.

The only way for -a to be equal to a is if a = 0. Therefore, if a matrix is skew symmetric, all its diagonal elements must be 0.

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Louis received a total of $78 for his birthday.

To calculate the total amount of money Louis received for his birthday, we need to determine the values corresponding to the greatest perfect square less than $100, five less than five squared, and the only perfect square between $40 and $50. Then, we can add these values together to find the total amount.

To find the greatest perfect square less than $100, we start by finding the square root of $100, which is 10. The greatest perfect square less than $100 is therefore 9.

Next, we determine the value of five squared, which is 5 * 5 = 25. Then, we subtract 5 from this value, resulting in 25 - 5 = 20.

To find the only perfect square between $40 and $50, we need to identify the perfect squares within this range. The square root of $40 is approximately 6.32, and the square root of $50 is approximately 7.07. Since 7 is the only whole number within this range, the only perfect square between $40 and $50 is 7 squared, which is 7 * 7 = 49.

Finally, we add the values together to find the total amount of money Louis received:

Total amount = $9 + $20 + $49 = $78.

Therefore, Louis received a total of $78 for his birthday.

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Answer:

Fractions in roman numerals

Step-by-step explanation:

To work this out go to hogwards and ask Harry

Answer:

٠ You must know Arabic numerals to solve this:

• Follow this interpretation:

Arabic → English

• So, let's first interprete, solve then we reverse :

\({ \rm{ - 1 \frac{13}{15} + 2 \frac{1}{17} - 3 \frac{2}{19} }} \\ \\ = { \rm{ - \frac{28}{15} + \frac{35}{17} - \frac{59}{19} }} \\ \\ \approx { \rm{ - 3}}\)

Answer: -٣

The expected number of minutes until the frogs stop jumping is 4, regardless of their initial positions.

Let's consider the probability that all three frogs are at different vertices at a given time. The first frog can land on any of the 12 vertices, the second frog can land on either of the two adjacent vertices to the first frog, and the third frog can land on either of the two adjacent vertices to the second frog that are not adjacent to the first frog. Therefore, the probability that all three frogs are at different vertices is:

\(P(all $ different) = 12 * 2/11 * 2/10 = 24/55\)

If all three frogs are at different vertices, then none of them can jump to the other two vertices adjacent to their current position, otherwise they will meet. Therefore, the next time they can meet is after the first jump of the frog that is alone, and this will happen with probability 1/3.

If two frogs meet, the expected number of minutes until the third frog joins them is just the expected number of minutes until two frogs meet, which is the same as the expected number of minutes until the frogs stop jumping. Therefore, it suffices to compute the expected number of minutes until the frogs jump to the same vertex for the first time, given that all three frogs are at different vertices.

Let T be the expected number of minutes until the frogs jump to the same vertex for the first time. Conditioning on the first jump, we have:

\(T = 1/3 * 1 + 2/3 * (T + 1)\)

The first term corresponds to the case where the frog that is alone jumps to one of the two vertices adjacent to one of the other frogs and they meet. The second term corresponds to the case where the frog that is alone jumps to the vertex adjacent to the other frog and the third frog jumps to the same vertex with probability 1/2, or they jump to different vertices with probability 1/2 and we are back to the starting position, but with one less frog being alone.

Solving for T, we get:

T = 4

Therefore, the expected number of minutes until the frogs stop jumping is 4, regardless of their initial positions.

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Answer:

480

Step-by-step explanation:

First, lets solve for the area of the 3 rectangles in the prism

One can be found by doing 17*9. The other, 8*9, the last 15*9

Next, lets solve for the 2 triangles. This is found with...

1/2(8)(15). This turns out to be 60, and we multiply that by 2 since there are 2 of those triangles.

Add everything up:

72+153+135+120 = 480

Answer:

4(9a-4)

Step-by-step explanation:

Answer:

4(9a-4)

Step-by-step explanation:

Answer:

x = 7.

Step-by-step explanation:

-18 = 6 (x - 10)

-18 = 6x - 60

6x = -18 + 60

6x = 42

x = 42/6 = 7.

Answer:

\(x=7\)

Step-by-step explanation:

\(-18=6(x-10)\)

Use distributive property.

\(-18=6x-60\)

Add 60 on both sides.

\(-18+60=6x\)

\(42=6x\)

Divide by 6 on both sides.

\(\frac{42}{6} =x\)

\(7=x\)

Another method.

\(-18=6(x-10)\)

Divide by 6 on both sides.

\(-18/6=x-10\)

\(-3=x-10\)

Add 10 on both sides.

\(-3+10=x\)

\(7=x\)

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Answer:

$196

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Let x be the number of capsules on the Singapore Flyer.

Each capsule can carry x passengers.

Therefore x^2 = 784.

x = 28

The total number of capsules on the Singapore Flyer is 28.

To find total number of capsules on the Singapore Flyer.​

Volume is a three-dimensional quantity that is used to measure the capacity of a solid shape. It means the amount of three-dimensional space a closed figure can occupy is measured by its volume.

Given that:

Let x be the number of capsules on the Singapore Flyer.

Total capacity : 784 passengers.

Each capsule can carry x passengers.

Therefore x^2 = 784.

x = 28

So, the total number of capsules on the Singapore Flyer is 28.

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