18,234.9+516.1 show your work

Answer:

15%

Step-by-step explanation:

I'm just built like that

Answer:

31p + 10q2

Step-by-step explanation:

Answer:

10q^2+31p

Step-by-step explanation:

The perimeter of the given window is 48 centimeter.

From the given figure,

Perimeter of window = 2(Length+Breadth)

= 2(10+14)

= 2×24

= 48 centimeter

Perimeter of house = 2(Length+Breadth)

= 2(37+35)

= 2×72

= 144 centimeter

Perimeter of roof = 2(Length+Breadth)

= 2(37+5)

= 2×42

= 84 centimeter

Therefore, the perimeter of the given window is 48 centimeter.

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The mean absolute deviation of the data is given as follows:

2.52.

The mean of the data-set is given as follows:

(6 + 8 + 8 + 12 + 16 + 13 + 11 + 15)/8 = 11.125.

Hence the deviations are given as follows:

Hence the mean of these deviations is given as follows:

MAD = (2 x 5.125 + 3.125 + 0.875 + 1.875 + 0.125 + 3.875)/8

MAD = 2.52.

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The expected number of students that like maths in 200 students is 120

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

3 out of every 5 students said Math is their favorite class

This means that

P(Math) = 3/5

When simplified, we have

P(Math) = 0.6

In a selection of 200 students, the expected value is

Expected = 0.6 * 200

Evaluate

Expected = 120

Hence, the expected number of students that like maths is 120

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Question

In a recent survey, 3 out of every 5 students said Math is their favorite class.If 200 students were surveyed, how many students can be expected to choose math as their favorite class?

triangle UTV similar with triangle YZX

Step-by-step explanation:

that mean UT/YZ = TV/ZX = UV/YX is the answer

Answer:

120 minutes

Step-by-step explanation:

d=rt

D-distance

r-unit rate

T- time

14=7t

/7. /7

2=t

2 hours

2 x60=120

120 minutes

Hopes this helps please mark brainliest

Answer:

you did it right!

Step-by-step explanation:

To solve that question we can think by the following way:

Using the fundamental principle of counting, we will find out that can be formed \(4\times 4 = 16\) differents sequences (for example, AA, AG, TT, TG, CT...).

Know we know that, we can generalize. If I have \(n\) elements and I must choose one of them \(t\) times to do a sequence, the total number of sequence that I can form will be \(n^t\).

In our question, we want to know how many DNA sequence are exactly 29 letters long. As indicated above, the answer for that is \(4\times 4\times 4\times ... \times 4\) (29 times) \(= 4^{29}\).

Therefore, there are \(4^{29}\) DNA sequences with exactly 29 letters long.

I hope I've helped you. =D

Enjoy your studies. \o/

Answer:

An explicit representation for the nth term of the sequence:

\(f_n=-\frac{1}{2}\cdot \:4^{n-1}\)

It means, option (B) should be true.

Step-by-step explanation:

Given the geometric sequence

\(-\frac{1}{2},\:-2,\:-8,\:-32,...\)

A geometric sequence has a constant ratio, denoted by 'r', and is defined by

\(f_n=f_1\cdot r^{n-1}\)

Determining the common ratios of all the adjacent terms

\(\frac{-2}{-\frac{1}{2}}=4,\:\quad \frac{-8}{-2}=4,\:\quad \frac{-32}{-8}=4\)

As the ratio is the same, so

r = 4

Given that f₁ = -1/2

substituting r = 4, and f₁ = -1/2 in the nth term

\(f_n=f_1\cdot r^{n-1}\)

\(f_n=-\frac{1}{2}\cdot \:4^{n-1}\)

Thus, an explicit representation for the nth term of the sequence:

\(f_n=-\frac{1}{2}\cdot \:4^{n-1}\)

It means, option (B) should be true.

Answer:

The answer is 60. x = 60

Step-by-step explanation:

All sides of a triangle would be 180 all together. 180/3 is 60.

Answer:

Check Explanation

Step-by-step explanation:

According to the Central limit theorem, the population mean (μ) is approximately equal to the mean of sampling distribution (μₓ).

And the standard deviation of the sampling distribution (σₓ) is related to the population standard deviation (σ) through

Standard deviation of the sampling distribution = (Population standard deviation)/(√N)

where N = Sample size

σₓ = (σ/√N)

So, population mean (μ) = Mean of sampling distribution (μₓ)

Population Standard deviation = (Standard deviation of the sampling distribution) × √N

= σ × √N

A) The expected value of a given distribution is simply equal to the mean of that distribution.

Hence, the expected value of random variable Y thay varies with different samples is given as

E(Y) = Mean of sampling distribution = μₓ

But μₓ = μ

Hence, E(Y) = μ (Proved)

B) Var (Y) is given as the square of the random distribution's standard deviation.

Var (Y) = (standard deviation of the sampling distribution)²

= (σ/√N)²

= (σ²/N) (Proved)

Hope this Helps!!!

To solve the savings plan balance, we have to calculate the interest for 19 months. The formula for calculating interest for compound interest is given below:$$A = P \left(1 + \frac{r}{n} \right)^{nt}$$where A is the amount, P is the principal, r is the rate of interest, t is the time period and n is the number of times interest compounded in a year.

The given interest rate is 11% per annum, which will be converted into monthly rate and then used in the above formula. Therefore, the monthly rate is $r = \frac{11\%}{12} = 0.0091667$.

The monthly payment is $PMT = $250. We need to find out the amount after 19 months. Therefore, we will use the formula of annuity.

$$A = PMT \frac{(1+r)^t - 1}{r}$$where t is the number of months of the plan and PMT is the monthly payment. Putting all the values in the above equation, we get:

$$A = 250 \times \frac{(1 + 0.0091667)^{19} - 1}{0.0091667}$$$$\Rightarrow

A = 250 \times \frac{1.0091667^{19} - 1}{0.0091667}$$$$\Rightarrow

A =250 \times 14.398$$$$\Rightarrow A = 3599.99$$

Therefore, the savings plan balance after 19 months with an APR of 11% and monthly payments of $250 is $3599.99 (approx).

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Answer:

  about 1.1%

Step-by-step explanation:

Given a moon has a diameter of 22% of the diameter its planet, you want the volume of the moon as a percent of the planet's volume.

The ratio of moon diameter to planet diameter is given as 22%. The ratio of moon volume to planet volume will be the cube of this scale factor:

  moon volume / planet volume = (0.22)³ ≈ 0.0106 = 1.06%

The volume of the moon is about 1.1% of the volume of the planet.

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The equations that represent the circle having a diameter of 12 units and a center lying on y-axis are; x² + (y – 3)² = 36, and x² + (y + 8)² = 36.

The standard form of the equation of a circle is (x - h)² + (y - k)² + r², where (h, k) is the center of the circle, and r is its radius.

We have given that circle having a diameter of 12 units, will have a radius of 12/2 = 6 units. Thus, r = 6.

Since we know that circle having the center on the y-axis will have a center as (0, k) as all points on the y-axis have x-coordinate 0.

Thus, the equation of the circle, with a diameter of 12 units is;

x² + (y - k)² = 6², or,

x² + (y - k)² = 36.

From the given options, the equations x² + (y – 3)² = 36, and x² + (y + 8)² = 36, are correct.

Thus, the equations that represent the circle having a diameter of 12 units and a center lying on y-axis are; x² + (y – 3)² = 36, and x² + (y + 8)² = 36.

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Answer:

2 -> 4

7 -> 29

10 -> 44

13 -> 59

Hence Proved N to N is uncountable set by using a diagonalization argument

What is Diagonalization Argument?

Georg Cantor published the Cantor's diagonal argument in 1891 as a mathematical demonstration that there are infinite sets that cannot be put into one-to-one correspondence with the infinite set of natural numbers. It is also known as the diagonalization argument, the diagonal slash argument, the anti-diagonal argument, the diagonal method, and Cantor's diagonalization proof.

Proof:

We write f as the sequence of value it generates

that is, say f:N-N is defined as f(x) =x then

we write f as : 1,2,3,4........

similarly if f:N-N were f(x) = 2x then we write it as :2,4,6,8.......

now assume on the contrary that the set of functions from N to N is countable

then,

\(f_{1}\)   :     \(f_{11}\)        \(f_{12}\)       \(f_{13}\) , ...........

\(f_{2}\)   :     \(f_{21}\)        \(f_{22}\)       \(f_{23}\) , ...........

\(f_{3}\)   :     \(f_{31}\)        \(f_{32}\)       \(f_{33}\) , ........... and so on

Here \(f_{ij}\) =\(f_{i}(j)\)

consider the function f as :

f : (\({f11}\) +1 ) , (\({f22}\) +1) , (\({f33}\) +1),.........

Then f wouldn't appear in the list of the function we had above since any \(f_{i}\) would disagree with f at the i th place

Therefore the set of the function from N to N is an uncountable set

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The moment generating function of each random variable is;

M(t) = (1/(1 - 1.5t))^(2), t < 2/3

Answer:

SD[X + Y] = 3

Step-by-step explanation:

For ease of differentiation, let's rewrite the M(t) function as;

M(t) = (1 - (3/2)t)^(-2)

Let's find the first derivative of the function;

M'(t) = 3(1 - (3/2)t)^(-3)

To get E[X], we will put 0 for t to get;

E[X] = 3(1 - (3/2)0)^(-3)

E[X] = 3

Now,let's find the second derivative of M(t)

M"(t) = (27/2)(1 - (3/2)t)^(-4)

At,t = 0, we will get E[X²]

Thus;

E[X²] = 27/2

Now, Var[X] = E[X²] - (E[X])²

Var[X] = (27/2) - 3²

Var[X] = 9/2

We are told that the times X and Y are independently and identically distributed. Thus, the sum of their variances is equal to the variance of their sum. This is expressed as;

Var[X + Y] = 9/2 + 9/2

Var[X + Y] = 9

Now,we know that square root of variance is standard deviation. Thus;

SD[X + Y] = √9

SD[X + Y] = 3

Step-by-step explanation:

cross multiply

2x - 4 = 4 × 5

2x - 4 =20

collect like terms (CLT)

2x = 20 + 4

2x=24

divide both sides by 2

x=12

The probability that the battery life is  20 ± 2 hours (between 18 and 22 hours) for each of the phones is:

Using the normalcdf function on a calculator, the probability that Phone C's battery would last between 18 and 22 hours can be found by inputing the function:

normalcdf (20, IE99, 18, 2)

The result is 0.158655 or 15.9%.

For Phone T, the function is:

normalcdf (20, IE99, 20, 3)

The result is 0.5 or 50%.

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Answer:

Step-by-step explanation:

Answer:

Assuming both people are pulling in the same direction, the net force on the car is, according to Newton's second law,

600 N + 800 N - 1200 N = (2250 kg) a

Solve for the acceleration a :

200 N = (2250 kg) a

a = (200 N) / (2250 kg)

a ≈ 0.0889 m/s/s

Step-by-step explanation: I hope this helps!

Based on the calculations, the goal amount is equal to $12500.

Given the following data:

To determine the goal amount:

First of all, we would assign a variable to the amount of money that was received during crowd-funding project and then write a system of algebraic equations. Finally, we would solve the system of algebraic equations.

Translating the word problem into an algebraic expression, we have;

\(8250=0.6x +750\\\\0.6x = 8250-750\\\\0.6x = 7500\\\\x=\frac{7500}{0.6}\)

x = $12500.

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Answer:

a) 28,770 ÷ 10 ^ 2  = 287.7

b) 28,770 ÷ 10 ^ 3  = 28.77

c) 28,770 ÷ 10 ^ 4  = 2.877

The surface areas for each figures are:

1. The surface area of the cuboid is:

Top and bottom: 2(10 ft x 4 ft) = 80 ft²

Front and back: 2(10 ft x 5 ft) = 100 ft²

Sides: 2(4 ft x 5 ft) = 40 ft²

Total surface area = 80 + 100 + 40 = 220 ft²

2. The surface area of the cuboid is:

Top and bottom: 2(18 cm x 5 cm) = 180 cm²

Front and back: 2(18 cm x 5 cm) = 180 cm²

Sides: 2(5 cm x 5 cm) = 50 cm²

Total surface area = 180 + 180 + 50 = 410 cm²

3. The surface area of the prism is:

Top and bottom: 2(5 cm x 14 cm) = 140 cm²

Front and back: 2(5 cm x 12 cm) = 120 cm²

Sides: 2(12 cm x 14 cm) = 336 cm²

Total surface area = 140 + 120 + 336 = 596 cm²

4. The surface area of the stacked cuboids is:

Top and bottom of first cuboid: 2(6 cm x 7 cm) = 84 cm²

Front and back of first cuboid: 2(6 cm x 2 cm) = 12 cm²

Sides of first cuboid: 2(7 cm x 2 cm) = 28 cm²

Front and back of second cuboid: 2(7 cm x 2 cm) = 28 cm²

Sides of second cuboid: 2(2 cm x 4 cm) = 8 cm²

Front and back of third cuboid: 2(2 cm x 10 cm) = 40 cm²

Sides of third cuboid: 2(10 cm x 8 cm) = 160 cm²

Total surface area = 84 + 12 + 28 + 28 + 8 + 40 + 160 = 360 cm²

5. The surface area of the cylinder is:

Top and bottom: 2π(6 mm)² = 72π mm²

Side: 2π(6 mm)(5 mm) = 60π mm²

Total surface area = 72π + 60π = 132π mm²

6. The surface area of the cylinder is:

Top and bottom: 2π(1 ft)² = 2π ft²

Side: 2π(1 ft)(10 ft) = 20π ft²

Total surface area = 2π + 20π = 22π ft²

7. The surface area of the cylinder stacked on a cube is:

Top and bottom of cylinder: 2π(5 m)² = 50π m²

Side of cylinder: 2π(5 m)(8 m) = 80π m²

Surface area of cube: 6(10 m x 13 m) = 780 m²

Total surface area = 50π + 80π + 780 = (130π + 780) m²

8. The surface area of the cylinder is:

Top and bottom: 2π(9 in)² = 162π in²

Side: 2π(9 in)(4 in) = 72π in²

Therefore, the total surface area of the cylinder is:

2(162π in²) + 72π in² = 396π in²

So the surface area of the cylinder is 396π square inches.

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Image transcribed:

Find the surface area of each figure.

10 ft

18 cm

5 cm

4 ft

5 ft

3.

4.

6 cm

7 cm

2 cm

5 cm

12 cm

14 cm

4 cm

10 cm

8 cm

Find the surface area of each cylinder. Leave your answer in terms of π.

5.

6 mm

6.

1 ft

5 mm

10 ft

7.

5 m

8.

4 in.

8 m

10 m

9 in.

13 m

11 m

247

Journal and Practice Workbook

Geometry

Answer:

1052 feet

Step-by-step explanation:

tan 50 = 1000/base

base = 839.1 feet

tan 78 = 1000/base

base = 212.56

839.1 + 212.56 = 1051.66 or 1052 feet

The option that gives  how much further away Balloon B is from Balloon A rounded to the nearest whole number is 1,052 feet

The reason for arriving at the above distance is as follows;

The given parameters are;

The angle at which Balloon A rises, x° = 50° above horizontal

The angle at which Balloon B rises, y° = 78° above horizontal

The (vertical) distance of Balloon A to the ground, h = 1,000 ft.

The required parameter;

The distance from Balloon A to Balloon B, d

Method;

We find the distances of the balloons from Charlie and the angle between the balloon strings, θ, then apply cosine rule

Assumption:

The height of the balloon strings are equal

The distance of Balloon A to the ground, h₁ = The distance of Balloon B to the ground, h₂ = 1,000 ft.

Solution;

The distance of the Balloon A  from Charlie, l₁, is given as follows;

l₁ × sin(x°) = h₁

∴ l₁ = h₁/(sin(x°))

Which gives;

l₁ = 1,000 ft./(sin(50°)) ≈ 1,305.41 ft.

l₁ ≈ 1,305.41 ft.

For Balloon B, we get;

h₁ = h₂ = 1,000 ft.

∴ l₂ = 1,000 ft./(sin(78°)) ≈ 1,022.34 ft.

l₂ ≈ 1,022.34 ft.

The angle between the balloon strings, θ = 180° - (x° + y°)

∴ θ = 180° - (50° + 78°) = 52°

The angle between the balloon strings, θ = 52°

By cosine rule, we have;

d = √(l₁² + l₂² - 2 × l₁ × l₂ × cos(θ))

∴ d = √(1,305.41² + 1,022.34² - 2 × 1,305.41×1,022.34 × cos(52°)) ≈ 1,052 feet

The distance from Balloon A to Balloon B, d ≈ 1,052 feet

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Answer:

The mean of the sampling distribution of sample means is equal to the population mean, which is 5.3 years.

give thanks for more! your welcome!

Step-by-step explanation:

Answer:

ok cool, bro'

Step-by-step explanation:

amazing

Answer:

paint

clean your room

call some friends

find a new hobby

bake/cook

re-do your room

make a wishlist

do some skincare

start learning a new language

start a new netflix series

bike ride/skate/drive