What is the level of confidence that tableau uses when it shows a confidence band?

Answer:

1.) The balance is of $22,330.86

2.) Gain of $2,330.86

3.) Less of a gain.

Step-by-step explanation:

Initially, we have $20.000.

We make the following investments:

All of them for 3 years.

45%, with interest 4.35% at a treasure bond.

15%, with interest 3.75%, at the CD.

20% in the stock. Increases 8%, then decreases 4%, then increases 6%.

Remainder(100 - (45+15+20)) = 20% in savings, with 2.9% interest.

1. Balance at the end of the third year:

How much money you will have, this is the sum of the four investments.

Treasure bond:

0.45*20000 = 9000.

9000 invested in treasure bond. In 3 years you will have.

4.35% = 0.0435

Tr = 9000*(1 + 0.0435)^3 = 10226.33

CD:

0.15*20000 = 3000

Cd = 3000*(1 + 0.0375)^3 = 3350.31

Stock:

0.2*20000 = 4000

Increases 8%(multiplies by 1 + (8/100) = 1.08), decreases by 4%(multiplies by 1 - (4/100) = 0.96), increases by 6%(multiplies by 1 + (6/100) = 1.06). So

St = 4000*1.08*0.96*1.06 = 4396.03

Savings:

0.2*20000 = 4000

Sa = 4000*(1 + 0.029)^3 = 4358.19

Balance:

The sum.

B = Tr + Cd + St + Sa = 10226.33 + 3350.31 + 4396.03 + 4358.19 = 22330.86

2.

You invested $20000.

Now you have $22330.86.

So you earned 22330.86 - 20000 = 2330.86.

So a gain of $2,330.86

3.

In the first exercise, we found a balance of 22330.86.

Now we have to find the Balance if we had invested 45% in stock and 20% in treasure, that is, if we had switched those two applications. So

Treasure bond:

0.2*20000 = 4000.

4000 invested in treasure bond. In 3 years you will have.

4.35% = 0.0435

Tr = 4000*(1 + 0.0435)^3 = 4545.04

CD:

0.15*20000 = 3000

Cd = 3000*(1 + 0.0375)^3 = 3350.31

Stock:

0.452*20000 = 9000

Increases 8%(multiplies by 1 + (8/100) = 1.08), decreases by 4%(multiplies by 1 - (4/100) = 0.96), increases by 6%(multiplies by 1 + (6/100) = 1.06). So

St = 9000*1.08*0.96*1.06 = 9891.07

Savings:

0.2*20000 = 4000

Sa = 4000*(1 + 0.029)^3 = 4358.19

Balance: 4545.04 + 3350.31 + 9891.07 + 4358.19 = 22144.61

The balance is smaller than in the first case, so you would have less of a gain.

Answer:

lol put more points 8 too little bit

Answer:

x > 1

Step-by-step explanation:

-26 + 13x + 2 > 2 - 13x

combine like terms

-24 + 13x > 2 - 13x

add 24 to both sides to cancel out the -24

-24 is canceled out by +24

13x > 2 + 24 - 13x

combine like terms

13x > 26 - 13x

add 13x to both sides to cancel out -13x

13x + 13x > 26

combine like terms

26x > 26

divide both sides by 26

x > 1

Answer:

For an nth term U(n) = a + (n -1)d

n = number of terms

a = first term

d = common difference

a = 8

d = 16 - 8 = 8

U(n) = 8 + (n-1)8

= 8 + 8n - 8

= 8n

The formula for the sequence is 8n

Hope this helps.

1.a The probability of throwing at most 2 heads in 5 throws is more probable.

1.b A total of 2^4 = 16 outcomes.

1.c The probability of selecting a black ball, a red ball, and then another black ball is 5/56.

1a. Probability of throwing exactly 15 heads in 20 throws

Probability of getting a head is p = 0.65, and the probability of getting tails is q = 1 - 0.65 = 0.35.

Let X be the random variable which counts the number of heads in 20 throws.

Then X follows the binomial distribution B(20, 0.65).P(X = 15) = 20C15 * 0.65^15 * 0.35^5= 0.16

Probability of throwing at most 2 heads in 5 throws

Let Y be the random variable which counts the number of heads in 5 throws.

Then Y follows the binomial distribution B(5, 0.65).P(Y ≤ 2) = P(Y = 0) + P(Y = 1) + P(Y = 2)

                                                                                                  = 0.01 + 0.08 + 0.25

                                                                                                  = 0.34

Therefore, the probability of throwing at most 2 heads in 5 throws is more probable.

1b. Suppose we flip a fair coin 4 times.

For what combination(s) do there exist exactly 3 permutations?

There are a total of 2^4 = 16 outcomes.

The combinations that exist in exactly 3 permutations are HTTH, HTHT, THHT, THTH, and HHTT.

1c. Probability of selecting a black ball, a red ball, and then another black ball We want to compute the probability of pulling out 3 balls, without replacement, from a box with 5 red balls and 3 black balls.

The total number of ways of pulling out 3 balls is 8C3.

The probability of pulling out a black ball on the first draw is 3/8.

The probability of pulling out a red ball on the second draw is 5/7.

The probability of pulling out another black ball on the third draw is 2/6 = 1/3.

So, the required probability is (3/8) * (5/7) * (1/3) = 5/56.

Therefore, the probability of selecting a black ball, a red ball, and then another black ball is 5/56.

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Answer:

triangle= 6*3/2=9

rectangle=8*16=128

128+9=137

Step-by-step explanation:

Answer:

18 square feet

Step-by-step explanation:

a= 1/2 ×b×h

The general solution to the given differential equation is:

y = C1 + C2e^x + C3e^(-x) + C4x, where C1, C2, C3, and C4 are constants determined by initial or boundary conditions.

To find the general solution of the given differential equation, we'll first find the particular solution (yp) using the method of undetermined coefficients, and then we'll find the complementary solution (yc) by solving the associated homogeneous equation. Finally, we'll combine the particular and complementary solutions to obtain the general solution.

The given differential equation is: y(4) - y" = 5e + 3

Step 1: Find the particular solution (yp):

To find the particular solution (yp), we assume it has the form yp = Ae + Be^3, where A and B are constants to be determined.

Taking the first and second derivatives of yp:

yp' = A + 3Be^3

yp'' = 9Be^3

Substituting yp, yp', and yp'' into the differential equation:

9Be^3 - 9Be^3 = 5e + 3

The exponential terms cancel out, leaving us with:

0 = 5e + 3

Since there is no solution for this equation, we conclude that the particular solution is not possible. We'll need to approach this problem using an alternative method.

Step 2: Find the complementary solution (yc):

To find the complementary solution (yc), we'll solve the associated homogeneous equation:

y(4) - y" = 0

The characteristic equation is: r^4 - r^2 = 0

Factoring out r^2, we have:

r^2(r^2 - 1) = 0

This equation gives us two sets of roots:

r1 = 0, r2 = 1, r3 = -1, r4 = 0

The general solution of the associated homogeneous equation is:

yc = C1 + C2e^x + C3e^(-x) + C4x

Step 3: Find the general solution:

The general solution is obtained by combining the particular and complementary solutions:

y = yp + yc

Since we couldn't find a particular solution (yp), the general solution becomes:

y = yc = C1 + C2e^x + C3e^(-x) + C4x

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The length of the deep end is 12 feet of the swimming pool.

Given: Area of the swimming pool is 210 square feet

Width of the pool = 10 feet

The length of the shallow end is 9 feet and the length of the deep end is d.

To find the value of d.

Let's solve the problem.    

The area of the swimming pool is 210

The width is 10

The deep end length is d

The shallow end length is 9

The total length of the swimming pool = The length of the deep end + The length of the shallow end

=> d + 9

Therefore, the total length of the swimming pool is d + 9

The surface of the swimming pool is rectangular, so

The area of rectangle = width × length

Therefore,

area of swimming pool = width of the pool × length of the swimming pool

=> 210 = 10 × (9 + d)

or 10 × (9 + d) = 210

Dividing both sides by 10:

10 × (9 + d) / 10 = 210 / 10

9 + d = 21

Subtracting 9 on both sides:

9 + d - 9 = 21 - 9

d = 12

Therefore the length of the deep end is 12 feet

Hence the length of the deep end is 12 feet of the swimming pool.

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The length of the deep end of the swimming pool is 12 feet.

We are given that:

The Area of the swimming pool = 210 square feet

width of the swimming pool = 10 feet

Length of shallow end = 9 feet

Let the length of the deep end be d.

Total length of the swimming pool = length of deep end + length of shallow end =  d + 9

Area of swimming pool = width × length

Substituting the values, we get that:

210 = 10 × (9 + d)

9 + d = 21

d = 12

Therefore the length of the deep end of the swimming pool is 12 feet.

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Answer:

Kim made the mistake

Step-by-step explanation:

She should take away the 0 in 20

Answer:

Step-by-step explanation:

The Fourier cosine series for a function f(x) on the interval [-L,L] is given by the formula:

f(x) = a0/2 + SUM[n=1 to infinity] {ancos(npi*x/L)}

where the coefficients an are given by:

an = (2/L) * INTEGRAL[-L to L] {f(x)cos(npi*x/L) dx}

For the function f(x) = x(2L-x) defined on the interval [0,L], the Fourier cosine series can be calculated as follows:

a0 = (2/L) * INTEGRAL[0 to L] {f(x) dx} = (2/L) * INTEGRAL[0 to L] {x(2L-x) dx} = 2/3 * L

an = (2/L) * INTEGRAL[0 to L] {f(x)cos(npix/L) dx} = (2/L) * INTEGRAL[0 to L] {x(2L-x)cos(npix/L) dx}

Using integration by parts, we can simplify this expression to:

an = (4L/(npi)^2) * [(-1)^n - 1]

Therefore, the Fourier cosine series for the function f(x) = x(2L-x) on the interval [0,L] is:

f(x) = (L/3) + SUM[n=1 to infinity] {(4L/(npi)^2) * [(-1)^n - 1] * cos(npix/L)}

This series converges to the function f(x) on the interval [0,L].

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The sample tensile strength of fiber specimens will be greater than 75.75 psi in 43.25 percent of cases.

Z-score: Z-score indicates how much a given value differs from the standard deviation. The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean. Standard deviation is essentially a reflection of the amount of variability within a given data set.

given that a synthetic fiber used in manufacturing carpet has a tensile strength that is normally distributed with a mean 75.5 psi and standard deviation 3.5 psi

z = (raw score - mean) / (sample standard deviation - standard deviation)

n = 6; mean=75.5 psi; standard deviation=3.5 psi.

For (greater than) > 75.75,

z = (75.75 - 75.5) / (3.5 ÷√6) = 0.17

P(z > 0.17) = 1 - P(z < 0.17) = 1 - 0.5675 = 43.25%

The sample tensile strength of fiber specimens will be greater than 75.75 psi in 43.25 percent of cases.

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Answer:

12 square yards of carpet

Step-by-step explanation:

area is l x w so 3 x 4 = 12

pls vote me brainliest

The approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches is 0.6

To find the approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches, we will first calculate the surface area (SA) and volume (V) of the ball, and then divide the surface area by the volume.

Step 1: Calculate the surface area (SA) using the formula for the surface area of a sphere:

\(SA = 4 πr^2\)
\(SA = 4 π5^2\)
\(SA = 4 π(25)\)
\(SA=100π\)

Step 2: Calculate the volume (V) using the formula for the volume of a sphere:

\(V = \frac{4}{3} π (r)^{3}\)
\(V = \frac{4}{3} π (5)^{3}\)
\(V = \frac{4}{3} π (125)\)
V = 166.67 π cubic inches

Step 3: Calculate the surface-area-to-volume ratio (SA/V)
\(\frac{SA}{V} = \frac{100}{166.67}\)
\(\frac{SA}{V}=\frac{100}{166.67}\)

\(\frac{SA}{V}= 0.6\)

So the approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches is 0.6. The best answer from the choices provided is A.

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Answer:So for an isosceles right triangle with side length a , the hypotenuse has a length of a√2 . Similarly, if the hypotenuse of an isosceles right triangle has length of a , the legs have a length of a√2ora√22 each

Step-by-step explanation:

An isosceles triangle is a special triangle due to the values of its angles. These triangles are referred to as triangles and their side lengths follow a specific pattern that states that one can calculate the length of the legs of an isoceles triangle by dividing the length of the hypotenuse by the square root of 2.

FOR EXAMPLE What is the length of the legs of an isosceles right triangle if the hypotenuse is 8 units?

2 Answers By Expert Tutors. For an isoceles right trangle, the legs each have length x and the hypotenuse has length x √2. Therefore, since the hypotenuse has length 8√2, the legs must each be of length 8.

Answer:

Fraction: 1/8

Decimal form: 0.05

Answer:

Please type or attach a question to be answered. Currently, all you have is as a question is the statement "Breyelle is planning on purchasing a new sports utility vehicle."

John has a total of 10 notes and 5 coins in his wallet. Out of the 10 notes, 5 of them are one color and the other 5 are a different color. Additionally, all 5 coins have the same value. In total, John has $310 in his wallet. To determine what notes and coins are in John's wallet, we need to consider the value of the notes and coins. Since the total amount in John's wallet is $310, we can set up an equation to solve for the values of the notes and coins. Let's assume that the value of each note is represented by "x" dollars, and the value of each coin is represented by "y" dollars.

We know that there are 10 notes in total, so the value of all the notes combined is 10x. Similarly, there are 5 coins, so the value of all the coins combined is 5y. Setting up the equation, we have: 10x + 5y = 310. Now, since 5 of the notes are of one color, we can represent their value as 5x. The remaining 5 notes of a different color would also have a combined value of 5x. Adding the values of the notes and coins together, we can set up another equation: 5x + 5x + 5y = 310. Simplifying this equation, we get: 10x + 5y = 310

Comparing this equation with the previous one, we can see that they are the same. This means that the value of each note is equal to x dollars, and the value of each coin is equal to y dollars. To determine the smallest number of notes needed to make $310, with at least one of every note, we need to find the lowest possible values for x and y. By trial and error, we can find that if x = $30 and y = $2, the equation holds true: 10 * 30 + 5 * 2 = 300 + 10 = 310. Therefore, in John's wallet, he has 5 notes of one color, each valued at $30, and 5 notes of a different color, also valued at $30. Additionally, he has 5 coins, each valued at $2. To make $310, with at least one of every note, the smallest number of notes you would need is 10.

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Without using a calculator, the trigonometric expressions simplify to:

1. sin^(-1)(sin(θ/6)) = θ/6

2. cos^(-1)(cos(5/4)) = 5/4

3. tan^(-1)(tan(5/6)) = 5/6.

To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.

1. sin^(-1)(sin(θ/6)):

Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.

2. cos^(-1)(cos(5/4)):

Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.

3. tan^(-1)(tan(5/6)):

tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.

Hence, without using a calculator, we find that:

sin^(-1)(sin(θ/6)) = θ/6,

cos^(-1)(cos(5/4)) = 5/4,

tan^(-1)(tan(5/6)) = 5/6.

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The lower confidence interval of the population mean is 34.16.

To construct a 95% confidence interval for the population mean, we can use the formula:

CI = sample mean ± (z-score)(standard error)

Where the z-score is determined by the level of confidence and can be found using a z-table or calculator. For a 95% confidence interval, the z-score is 1.96.

The standard error can be calculated using the formula:

standard error = population standard deviation / √(sample size)

Substituting the given values, we get:

standard error = 2.9 / √46 = 0.427

Now we can plug in the values into the formula to get the confidence interval:

CI = 35 ± (1.96)(0.427) = 35 ± 0.837

The lower confidence interval of the population mean is obtained by subtracting the margin of error from the sample mean:

lower confidence interval = 35 - 0.837 = 34.16 (rounded to 2 decimal places)

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Answer:

0.026

Step-by-step explanation:

simply do 0.325-0.299

Answer:

49

Step-by-step explanation:

Step 1:

7 - 2k - 6n     Equation

Step 2:

7 - 2 ( - 3 ) - 6 ( - 6 )     Substitute

Step 3:

7 + 6 + 36      Multiply

Answer:

49    Add

Hope This Helps :)

The result for simplifying;

\( {( \frac{2a²b×b⁴}{2a²b×9 {a}^{2} } )}^{ \frac{1}{2} } \)

is;

\( \frac{ {b}^{2} }{3b} \)

Simplification of an algebraic expressions is the process of writing an expression in the most efficient and compact way, that is in their simplest form, without changing the value of the original expression.

The greatest common factor the numerator and denominator is 2a²b and so we divide through with it to give;

\( {( \frac{b⁴}{9 {a}^{2} } )}^{ \frac{1}{2} } \)

evaluate the square root, we have;

\( {( \frac{2a²b⁵}{18 {a}^{4}b } )}^{ \frac{1}{2} } = {( \frac{b²}{3a})} \)

Therefore,

\( {( \frac{b²}{3a})} \)

is the result after simplifying the algebraic expression

\( {( \frac{2a²b⁵}{18 {a}^{4}b } )}^{ \frac{1}{2} } \)

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The equation of the graph is

The slope, x intercept and y intercept of the equation is

Examining the graph shows that the graph has a negative slope and a perpendicular line will have a negative reciprocal of the line.

Solving for the slope using (-2, 0) and (0, -1)

= (0 + 1) / (-2 - 0)

= -1/2

The slope for perpendicular line is 2 hence we have: y = 2x + 5

For the equation 5x - 2y = 10

rearranging the equation

-2y = 10 - 5x

y = -5 + 5/2 x

The slope is 5/2, y intercept is -5 and the x intercept is solved as

0 = -5 + 5/2 x

5/2 x = 5

5x = 10

x = 2

The slope is 5/2, y intercept is (0, -5) and the x intercept is (2, 0)

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Answer:

If a+b>0a+b>0 and ab<0ab<0, which of the following must be true?

I. a<0a<0

II. b>0b>0

III. |b|>|a||b|>|a|

A. I only

B. I and II only

C. I and III only

D. I, II and III

E. Noe of these

Step-by-step explanation:

there really is no explanation it is simple math

Answer:

B

Step-by-step explanation:

Answer:

it's asking how do you know this lengths are congruent.

since those lines are congruent I'll come to the conclusion that's it could be b as well

Step-by-step explanation:

b

Step-by-step explanation:

\( \frac{11}{4} \)

\( \frac{4}{11} \times \frac{11}{4} = \frac{44}{44} = 1\)

if it's helpful ❤❤❤

THANK YOU.

Answer:

2/5

Step-by-step explanation: