Is 4(2+34) equal to 8+124

Answer:

1/6

Step-by-step explanation:

A regular number cube has 6 different sides, so the probability of it landing on any side is 1/6. There are 6 possible sides, so landing on a 4 is one of the six possible outcomes.

Hope I helped! Good luck!

The probability that at least one of ten random numbers drawn from a standard normal distribution will exceed 2.66 is 0.045.

This can be calculated using the complementary probability formula, which is 1 - P(x ≤ 2.66), where P(x ≤ 2.66) is the probability that all ten numbers are less than or equal to 2.66.

The probability that all ten numbers are less than or equal to 2.66 can be calculated using the normal distribution function, which gives the probability that a random variable x follows a normal distribution with mean μ and standard deviation σ. For a standard normal distribution, the mean is 0 and the standard deviation is 1, so the probability that all ten numbers are less than or equal to 2.66 can be calculated as:

where Φ(x) is the normal distribution function.

Substituting this value into the complementary probability formula, we get:

Thus, the probability that at least one of ten random numbers drawn from a standard normal distribution will exceed 2.66 is 0.045.

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The equation is a contradiction and has no solutions, the solution set is empty (∅).

To determine whether the equation is conditional, an identity, or a contradiction, we need to simplify the equation and see if the resulting statement holds for all values of v or only for specific values.

18(v+3) - 2v = 4(4v+3) - 15

Expanding the expressions:

18v + 54 - 2v = 16v + 12 - 15

Combining like terms:

16v + 54 = 16v - 3

Now, we can see that the variable v cancels out on both sides of the equation. We are left with:

54 = -3

This equation states that 54 is equal to -3, which is not true. Therefore, the equation is a contradiction.

Since the equation is a contradiction and has no solutions, the solution set is empty (∅).

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Answer:

2409

Step-by-step explanation:

15+676=791. 3200-791= 2409 NP

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

Here is how I would work this one out :

Treat the first 4 deposits as an annuity due...calculate the value at the end of the year , then calculate that amount compounded quarterly for 39 more years:

Annuity due:    FV =  A [ ( (1+i)^n -1)  / i ] (1 +i) ]      where i = .015/4 = .0125

                                                                                 n = 4 ( one year)

                                                                                 and   a = 450

     plug in the numbers to find FV = $ 1856.96 at the end of year one.

then use this 'deposit ' compounded quarterly for 39 more years  (n = 156)

  $ 1856.96 ( 1 + .0125)^156 =  $ 12895.17

The correct answer is D: Fifth year.


To represent the value of the cars, we can use the equations:
- For Car A: y = 30,000 - 0.2(30,000)x
- For Car B: y = 20,000 - 0.15(20,000)x

To determine when the value of Car B will become greater than the value of Car A, we need to set the two equations equal to each other and solve for x:
30,000 - 0.2(30,000)x = 20,000 - 0.15(20,000)x
10,000 = 0.05(30,000)x
x = 10/3

So the value of Car B will become greater than the value of Car A after 10/3 years. Since we are asked to select an answer from the given options, we can round 10/3 up to 4, and check if the statement is true for the fifth year:
- For Car A after 5 years: y = 30,000 - 0.2(30,000)(5) = 12,000
- For Car B after 5 years: y = 20,000 - 0.15(20,000)(5) = 11,000

Therefore, the value of Car B will become greater than the value of Car A during the fifth year. Hence, the correct answer is D: Fifth year.



1. To represent the value of the cars, we can use the equations:
- For Car A: y = 30,000 - 0.2(30,000)x
- For Car B: y = 20,000 - 0.15(20,000)x

2. To determine when the value of Car B will become greater than the value of Car A, we need to set the two equations equal to each other and solve for x:
30,000 - 0.2(30,000)x = 20,000 - 0.15(20,000)x
10,000 = 0.05(30,000)x
x = 10/3

3. So the value of Car B will become greater than the value of Car A after 10/3 years.

4. Since we are asked to select an answer from the given options, we can round 10/3 up to 4, and check if the statement is true for the fifth year.

5. For Car A after 5 years: y = 30,000 - 0.2(30,000)(5) = 12,000

6. For Car B after 5 years: y = 20,000 - 0.15(20,000)(5) = 11,000

7. Therefore, the value of Car B will become greater than the value of Car A during the fifth year. Hence, the correct answer is D: Fifth year.

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Answer:

D) V= 1/6 bh

Step-by-step explanation:

The expression that provides the volume of the pyramid is as follows;

As mentioned in the question

It is given that the pyramid put inside a prism

Also the pyramid contains the similar base area but the height is half of the prism

so the base area of the pyramid is b

And, the Height of the pyramid = h ÷ 2

Now as we know that  

The volume of the pyramid is

V = 1 ÷3 × base ares × height

= 1 ÷ 3 × b × h ÷ 2

V = 1 ÷ 6 bh

So, the volume is 1 ÷6 bh cube unit.

Answer:

V = 1/6 BH

Step-by-step explanation:

the volume of a pyramid is 1/3 BH , since the pyramid is only half the height of the prism you'll have to multiply 1/3 x 2 = 1/6

Answer:

It is half as much. urysukdhwjx8hdjdhvndkduc

Answer:

Step-by-step explanation:

First, let's calculate the volume of the glass sphere:

V_sphere = (4/3) * pi * r^3

V_sphere = (4/3) * 3.14 * 12^3

V_sphere ≈ 7238.23 cm^3

Next, let's find the volume of the cylinder:

V_cylinder = pi * r^2 * h

V_cylinder = 3.14 * 30^2 * 100

V_cylinder ≈ 282,600 cm^3

Since the glass sphere is completely submerged in water, the volume of the water in the cylinder will be the difference between the volume of the cylinder and the volume of the sphere:

V_water = V_cylinder - V_sphere

V_water ≈ 275,362.77 cm^3

Therefore, the approximate volume of the water contained in the cylinder is approximately 275,365 cm^3, which is closest to option D.

Step-by-step explanation:

step 1. Let's call the amount of money A.

step 2. A = A¡e^(rt) (continuously compounding equation)

step 3. A = A¡e^(rt). A¡ = initial amount. r = rate, t = time.

step 4. A = 2200e^((.053)(7)

step 5. A = $3188.20

Answer: The total cost of the fences=$165.6

Step-by-step explanation:

Let a = the length of the side if the square.

The perimeter of the square is 60 ft

                                   4a = 60ft

divide both sides by

                                  4a = 60/4

                                    a = 15 ft

The garden is surrounded by two fences, one fence is around the perimeter of the garden, whereas the second fence is 3 feet from the first fence on the outside

Expand to get:

                               4*a + 4(a + 2*3)

Replace a with 15 to get:

                         =  4*15 + 4(15 + 6) 60 + 4(21) 60+84

                         = 144ft

The cost of the fence is $1.15 per foot

The cost of 144 ft fence will be:

                       = 144*1.15

                       = $165.6

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Answer:

i need some points i don't know the answer

Step-by-step explanation:

i dont know

The average age of the two classes is 12.73 yrs.

Total age of 25 students =25×10=250years.

Total age of 30  students =30×15=450years

∴ Total age of 55 students =250+450=700years

∴ Required For 55 students   =  700/55 = 12.73 yerars

∴ The average age of the two classes is 12.73 yrs.

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Answer:

the cost per liter of the paint is equal to 24 8/liter

Hope this helps :)

Work Shown:

r = 6 = radius

V = volume of a sphere of radius r

V = (4/3)*pi*r^3

V = (4/3)*pi*6^3

V = 904.77868423386

V = 904.8

I used my calculator's stored version of pi (instead of something like pi = 3.14)

The units "cubic meters" can be abbreviated to m^3 or \(m^3\)

The volume of the given sphere is 904.8 cubic meters. Thus, option B is the answer.

         The volume of a sphere can be calculated using the formula:

V = \(4/3 * \pi * r^3\),

Where V is the volume and r is the radius of the sphere.

\(\pi\) = 3.14

The radius of the sphere (r) = 6m

Plugging in the given radius of 6m into the formula, we get:

V = (4/3) * \(\pi\) * (6^3)

V = 1.333 * \(\pi\) * 216

V = 1.333 * 3.14 * 216

V = 4.1866 * 216

V = 904.8 cubic meters

Therefore, when the radius of the sphere is 6m, the volume of the sphere is 904.8  cubic meters.

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The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.653.

We have,
Vermont had 65.3% of respondents who said yes to exercising for at least 30 minutes a day, 3 days a week.

To find the sample proportion, you can convert the percentage to a decimal by dividing the percentage by 100.

Step 1:

Convert the percentage to a decimal.
65.3 / 100 = 0.653

Thus,
The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.653.

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The table of values that represents exponential decay is (c)

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

The table of values

An exponential function is represented as

y = abˣ

Where

Rate = b

When the rate is less than 1, then the table represents a decay

i.e when y reduces as x increases

The table that has the above features is the table (c)

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Answer: C

Step-by-step explanation: the equation on the opposite side is the same

Answer:

x = 17

Step-by-step explanation:

let x be the number she is thinking about

5x + 8 = 93

Rearrange

5x = 85

x = 17

Answer:

13x+19

Step-by-step explanation:

Answer:

The smallest value is 2) the opposite of 50 because it is farthest left of the zero (this makes it the smallest)

Step-by-step explanation:

1) = 100

2) = -50

3) = 0

4) = -25

5) = -5

Answer:

y = 37/4

Step-by-step explanation:

Answer:

Your answer is y = 37/4 or 9.25 or 9/1/4

Step-by-step explanation:

Right away we can just solve for y, so we minus 9 to both sides of the equation:

-4y = -37

Then we divide -4 from both sides:

y = 37/4 or 9.25 or 9/1/4

The length of the sides of the triangle QRT are;

QR = 3√5

RT = 9√2

TQ = 3√5

The formula for distance between two coordinates is;

D = √[(x₂ - x₁)² + (y₂ - y₁)²]

We are given the coordinates of the triangle QRT as;

Q = ( - 2 , - 1 )

R = ( 1 , 5 )

T = ( - 8 , - 4 )

Thus;

QR = √[(5 - (-1))² + (1 - (-2))²]

QR = √(3² + 6²)

QR = √45

QR = 3√5

Similarly;

RT = √[(-8 - 1)² + (-4 - 5)²]

RT = √(81 + 81)

RT = 9√2

Similarly, TQ is;

TQ = √[(-1 - (-4))² + (-2 - (-8))²]

TQ = √(9 + 36

TQ = √45

TQ = 3√5

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Answer:

A) The percent increase is by 30%.

B) for the original price = 15%.

B2.0) for the existing price (39) = approximately 11.54%.

Step-by-step explanation:

A) First, we divide 30 by 100. The result is the amount that 1% would be(0.3). If you multiply it by 30(which will become 30%) it will be 9. And from 30-39 is 9.

B) First we divide 30 by 100. The result is the amount that 1% would be(0.39). then if you multiply it by 11.54(which will become 11.54%) it will be 4.50(approximately because it actually is 4.5006 and there is no amount that ends up in 4.50). But if you are asking what percentage from the original cost(30) it would be 15% of it(because 0.3 * 15 = 4.50).

In addition to state, federal, and private financing, Mercyhurst awards scholarships to incoming students based on academic distinction, financial need, and athletic and artistic achievement.

The majority of new freshmen and transfer students are eligible for the following funding opportunities:

A funding opportunity refers to a provision that is made available by either:

Sufficient funding of education by various educational stakeholders is a crucial step in decreasing the burden of education costs on parents and students.

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Answer:

Step-by-step explanation:

Notice that the vertices are A(1,1), B(2,3) and C(2,1).

A reflection across the x-axis give the coordinates A'(1,-1), B'(2,-3) and C'(2,-1). Then, we apply the rotation 90° clockwise about the origin A'(1,1), B'(3, 2) and C'(1, 2).

Finally, a reflection across the line y = x, gives A'(1,1), B'(2,3) and C'(2,1)

Therefore, the coordinates of the image are A'(1,1), B'(2,3) and C'(2,1).

Answer:

The coordinates of vertex A′ are (1, 1).
The coordinates of vertex B′ are (2, 3).
The coordinates of vertex C′ are (2, 1).

Step-by-step explanation:

Plato

The shortest distance between n and p in units = (1 − a )2+ ( b+ 2)2.

The correct option is B.

The length of line segment connecting any two points is known as their distance from one another. The length of a line segment connecting the two given coordinates can be used to calculate the distance between the points in coordinate geometry.

The study of geometry utilizing coordinate points is referred to as coordinate geometry (or analytic geometry). The distance between two points can be calculated using coordinate geometry, as can the areas of triangles in the Cartesian plane, the midpoints of lines, and more.

The expression that represents this same shortest distance between P and N in units is found to use the distance between two points to be:

\(d=\sqrt{(1-a)^2+(b+2)^2}\)

The distance between two points, (x1,y1) and (x2,y2), is represented by:

\(d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\)

the distance between the points N(a, -2) and P(1,b) is:

\(\begin{aligned}&d=\sqrt{(1-a)^2+(b-(-2))^2} \\&d=\sqrt{(1-a)^2+(b+2)^2}\end{aligned}\)

The shortest distance between n and p in units = (1 − a )2+ ( b+ 2)2.

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I understand that the question you are looking for is:

a civil engineer is drawing a plan for the location and length of a new underground sewer pipe on a coordinate grid. the pipe on the plan will run from point n ( a , −2) to point p (1, b ) on the coordinate grid. which expression represents the shortest distance between n and p in units?

A. ( a +2)2+ (1 − b )2

B.  (1 − a )2+ ( b+ 2)2