Moussa has a collection of vintage action figures that is worth $390. If the collection appreciates at a rate of 3% per year, which equation represents the value of the collection after 3 years?

5. b1= 8, b2= 11+9=20, h= 15, A= 210

8. b1= 4, b2= 10, h= 5.2, A= 36.4

9. b1= 7, b2= 13, h= 4.2, A= 42

The p-value of the test of the producer of certain bottling equipment claims that the variance of all its filled bottles is 0.027 or less. a sample of 30 bottles showed a standard deviation of 0.2. is between 0.025 and 0.05.

The likelihood that the null hypothesis is correct is expressed by the p-value. The likelihood that the alternative hypothesis is correct is (1 - p-value). A little p-value indicates that the findings are repeatable. A big effect or a significant theoretical, clinical, or practical significance is indicated by a low p-value.

The sample data, test type, and sampling distribution of the test statistic under the null hypothesis are used to determine the p-value (lower-tailed test, upper-tailed test, or two-sided test). The formula for calculating the p-value for a lower-tailed test is: p-value = P(TS ts | H 0 is true) = cdf (ts)

The p-value of the test of the producer of certain bottling equipment claims that the variance of all its filled bottles is 0.027 or less. a sample of 30 bottles showed a standard deviation of 0.2. is between 0.025 and 0.05.

to learn more about p-value click the following link:-

https://brainly.com/question/24756209

#SPJ4

Answer:

y+1 = 2(x-6)

Step-by-step explanation:

We have a point (6,-1) and a slope m=2

The point slope form of a line is

y-y1 = m(x-x1)

y- -1 = 2(x-6)

y+1 = 2(x-6)

Answer: y - (-1) = 2(x-6) which is basically y + 1 = 2(x - 6)

Step-by-step explanation:

Disregard my explanation, its in the wrong form

Point-slope form is y = mx + b

They gave us m, 2. And they gave us the coords, (6, -1)

All you have to do is plug this info in to get:

\(-1=2(6)+b\\-1=12+b\\b=-13\)

The t-distribution is the distribution that uses t-values to establish confidence intervals.t-distribution:

The t-distribution is a probability distribution that is widely used in hypothesis testing and confidence interval estimation. It's also known as the Student's t-distribution, and it's a variation of the normal distribution with heavier tails, which is ideal for working with small samples, low-variance populations, or unknown population variances.The t-distribution is commonly used in hypothesis testing to compare two sample means when the population standard deviation is unknown. When calculating confidence intervals for population means or differences between population means, the t-distribution is also used. The t-distribution is used in statistics when the sample size is small (n < 30) and the population standard deviation is unknown.

To know more about probability :

https://brainly.com/question/31828911

#SPJ11

Answer:

B.

Step-by-step explanation:

Answer:

D, 143.

Step by step explanation:

The correct answer is option B. In an analysis of variance, differences caused by treatment effects contribute to both between-treatments variance and within-treatments variance. This is because the overall variance in the data can be attributed to both differences between the treatment groups (between-treatments variance) and differences within each treatment group (within-treatments variance).

Using multiple t tests increases the risk of a type I error, which is rejecting the null hypothesis when it is actually true. This is because the more tests that are run, the more likely it is that one will result in a false positive. On the other hand, the analysis of variance is more likely to detect statistical significance because it takes into account the overall variance in the data and can determine if the differences between groups are larger than would be expected by chance alone.

In a three-group comparison, at least one of the three population means is different from another population mean. This is the minimum requirement for there to be a significant difference between the groups. However, it is also possible for all three of the population means to be different from each other.

To know more about variance visit :-

https://brainly.com/question/14116780

#SPJ11

Answer:

x=6

Step-by-step explanation:

6x-7=4x+5

-4x. -4x

2x-7=5

+7. +7

2x=12

×=6

z+12=15

Answer:

z=3

Step-by-step explanation:

z-(-12)=15

z+12=15

z=15-12

z=3

HOPE IT HELPS :)

Answer: 238 lbs

Step-by-step explanation:

x = joe's weight

y = joe's dad's weight

x + y = 336

y = x +140

Substitute for y

x + x + 140 = 336

2x + 140 =336

2x = 196

x = 98

Joe weighs 98 lbs

Now, plug that into Joe's dad's weight equation

y = 98 + 140

y = 238

Joe's dad weighs 238 lbs

Answer:

In statistics, an outlier is a data point that differs significantly from other observations.

Step-by-step explanation:

Answer:

I'm going to say this at random it is eight 8.

Step-by-step explanation:

Answer:

Simplify inside the parentheses by dividing coefficients, subtracting the exponents on like bases, and raising the resulting expression to the –3 power. Then, write bases with positive exponents.

Raise the numerator and denominator to the –3 power. Then, using the power of a power property, multiply the exponents. Divide the coefficients and subtract the exponents on like bases, then write with positive exponents.

Step-by-step explanation:

Answer:Simplify inside the parentheses by dividing coefficients, subtracting the exponents on like bases, and raising the resulting expression to the –3 power. Then, write bases with positive exponents.

Raise the numerator and denominator to the –3 power. Then, using the power of a power property, multiply the exponents. Divide the coefficients and subtract the exponents on like bases, then write with positive exponents.

Step-by-step explanation:

correct on edg....  Good Luck!!!

Answer:

The solutions to the quadratic equation are:

\(x=i+2,\:x=-i+2\)

Step-by-step explanation:

Given the equation

solving the equation

\(x^2-4x+5=0\)

subtract 5 from both sides

\(x^2-4x+5-5=0-5\)

\(x^2-4x=-5\)

\(\mathrm{Add\:}\left(-2\right)^2\mathrm{\:to\:both\:sides}\)

\(x^2-4x+\left(-2\right)^2=-5+\left(-2\right)^2\)

\(\left(x-2\right)^2=-1\)

\(\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}\)

solving

\(x-2=\sqrt{-1}\)

As the imaginary rule is given by

\(\:\sqrt{-1}=i\)

so

\(x-2=i\)

\(x=i+2\)

solving

\(x-2=-\sqrt{-1}\)

\(x-2=-i\)      ∵ \(\:\sqrt{-1}=i\)

\(x=-i+2\)

Therefore, the solutions to the quadratic equation are:

\(x=i+2,\:x=-i+2\)

We have to prove that when we approach to (0, 0) the output of the function f(x) = 3 + 4x2 tends to the same output limit. For this, we can take three sequences of the x-coordinate which are {an}= (-1/nit) (n∈N+), {1} = (0, nit) (n∈N+) and {c} = 1/nit) (n∈N+).

Let f:R? → Rºbe defined by f(x) = 3 + x2 and using the definition of limit,

prove that f has a limit at (2,4).

Proof:

We want to show that limx→2f(x) = 4.  This means that for every ε > 0, there exists a δ > 0 such that if 0 < |x–2| < δ, then |f(x)–4| < ε.

Let ε > 0 be given. Choose δ = min{ε, 2}.

Now, let 0 < |x–2| < δ. Then, |x–2| < δ ≤ 2. This implies that |x| < 4 and thus 0 < |x|2 < 16. Now,

|f(x)–4| = |3+x2–4| = |x2–1|= |x||x| = |x2| = |x|2 < 16 < ε.

Hence, for any given ε > 0, there exists a δ > 0 such that 0 < |x–2| < δ implies |f(x)–4| < ε. Therefore, limx→2f(x) = 4.

So, from the above calculations, it can be seen that every time approaches the point (0, 0), the values of the function tends to the same point which is 3 and so this concludes that the f(x) has a limit at (0, 0) and the limit is 3.

to know more about x-coordinate visit

https://brainly.com/question/28913580#

#SPJ11

Answer:

$2

Step-by-step explanation:

A burger is $1.25 and fries are .75c

The equation of the circle with center (-6,0) and containing the point (-12,-√13) is: \(x^2 + 12x + y^2 = 13\)

What is equation of a circle?

The equation of a circle with center (h, k) and radius r is given by:

\((x - h)^2 + (y - k)^2 = r^2\) where (x, y) is any point on the circle. This equation represents all points (x, y) that are at a fixed distance r from the center (h, k).

The distance between the center and the given point is the radius:

\(r = \sqrt{[(x2 - x1)^2 + (y2 - y1)^2}\\r = \sqrt{ [(-12 - (-6))^2 + (-√13 - 0)^2}\\r = \sqrt{36 + 13}\\r = \sqrt{49}\\r = 7\)

Substituting the center and radius into the equation of the circle, we get:

(x + 6)^2 + y^2 = 7^2

Simplifying, we get:

\(x^2 + 12x + 36 + y^2 = 49\)

Hence, The equation of the circle with center (-6,0) and containing the point (-12,-√13) is: \(x^2 + 12x + y^2 = 13\)

Learn more about equation of a circle, by the following link.

https://brainly.com/question/1506955

#SPJ1

Answer:

5 > n + 10

8 x 7 < n

n/3 + 1

6 x 8 - 10 < n

n - 1 x n

n x -n + 7

The value of the definite integral in this problem is given as follows:

B. 16.

The definite integral in the context of this problem is given as follows:

\(\int_0^2 (x^3 + 6) dx\)

Applying the power of x integral rule, the result of the integral is given as follows:

\(\frac{x^4}{4} + 6x\)

At x = 2, the numeric value of the integral is given as follows:

16/4 + 6(2) = 4 + 12 = 16.

At x = 0, the numeric value of the integral is given as follows:

0/4 + 6(0) = 0.

Applying the Fundamental Theorem of Calculus, the result of the integral is given as follows:

16 - 0 = 16.

(The Fundamental Theorem of Calculus states that the definite integral is the subtraction of the result of the integral at the upper bound by the result of the interval at the lower bound).

Hence option B is the correct option in the context of this problem.

More can be learned about integrals at https://brainly.com/question/22008756

#SPJ1

Answer:

in the first one, the rule is y=2x+1

the second rule is y=x/2+1

sorry iont about the 3rd one

Step-by-step explanation:

Answer:

119

Step-by-step explanation:

Angle ABD and angle DBC are supplementary so their sum is equal to 180

therefore to find the measure of ABD we subtract 61 from 180

<ABD = 180 - 61

<ABD = 119

The solution to the given differential equation is:

y = (9e^(-4x) - Ce^(-1/36 * e^(-4x))) / 4

To solve the given differential equation:

dy + 4y dx = 9e^(-4x) dx

We can rearrange the equation to separate the variables y and x:

dy = (9e^(-4x) - 4y) dx

Now, we can divide both sides of the equation by (9e^(-4x) - 4y) to isolate the variables:

dy / (9e^(-4x) - 4y) = dx

This equation is now in a form that can be solved using separation of variables. We'll proceed with integrating both sides:

∫(1 / (9e^(-4x) - 4y)) dy = ∫1 dx

The integral on the left side requires a substitution. Let's substitute u = 9e^(-4x) - 4y:

du = -36e^(-4x) dx

Rearranging, we have

dx = -du / (36e^(-4x))

Substituting back into the integral:

∫(1 / u) dy = ∫(-du / (36e^(-4x)))

Integrating both sides:

ln|u| = (-1/36) ∫e^(-4x) du

ln|u| = (-1/36) ∫e^(-4x) du = (-1/36) ∫e^t dt, where t = -4x

ln|u| = (-1/36) ∫e^t dt = (-1/36) e^t + C1

Substituting back u = 9e^(-4x) - 4y:

ln|9e^(-4x) - 4y| = (-1/36) e^(-4x) + C1

Taking the exponential of both sides:

9e^(-4x) - 4y = e^(C1) * e^(-1/36 * e^(-4x))

We can simplify e^(C1) as another constant C:

9e^(-4x) - 4y = Ce^(-1/36 * e^(-4x))

Now, we can solve for y by rearranging the equation:

4y = 9e^(-4x) - Ce^(-1/36 * e^(-4x))

y = (9e^(-4x) - Ce^(-1/36 * e^(-4x))) / 4

Therefore, the solution to the given differential equation is:

y = (9e^(-4x) - Ce^(-1/36 * e^(-4x))) / 4

Learn more about differential equations here:

brainly.com/question/32645495

#SPJ11

After cutting one piece from the board that measured 34 1/4 inches long and another piece from the board that measured 10 3/4 inches long, he had 50 inches of wood left.

Let the length of each of the four pieces that Ronald cut from the remaining board be x.
Therefore, the total length of the remaining board is 4x inches.
We have:34 1/4 inches + 10 3/4 inches = 45 inches
This implies that the first two cuts made by Ronald took 45 inches off the original 96-inch long board. Thus, there was only 51 inches left to be cut into 4 equal pieces. The equation to represent this is:4x = 51 inches
To find the length of each of the four equal pieces, we need to divide the total length of the remaining board by the number of pieces of wood to be cut, i.e., 4. Thus, we have:4x = 51 inches
Divide both sides by 4:x = 51/4 inches
Therefore, each of the four equal pieces is 12 3/4 inches long.Thus, the total length of the four pieces cut is:4 × (12 3/4) inches= 51 inches

Thus, after cutting a piece of 34 1/4 inches and another piece of 10 3/4 inches from the 96 inches wooden board, Ronald had 50 inches of wood left.

To know more about length, click here

https://brainly.com/question/32060888

#SPJ11

Answer:

The scores are between 50 and 90

Step-by-step explanation:

When we say middle 95%, we means that this value falls between 2 standard deviations of the mean i.e

μ ± 2σ

Hence,

mean of 70 and a standard deviation of 10

μ ± 2σ

μ - 2σ

70 - (2 × 10)

= 70 - 20

= 50

μ + 2σ

= 70 + (2 × 10)

= 70 + 20

= 90

The point which is √2 distance away from the point (-1, 5) is (-1, 5 - √2).

In order to find a point that is √2 away from (-1, 5), we need to find a point that is at a distance of √2 from (-1, 5). Let the point we need to find be (x, y),

Using the distance formula, we can set up the following equation:

√[(x - (-1))² + (y - 5)²] = √2,

Simplifying this equation,

We get,

(x + 1)² + (y - 5)² = 2,

This equation represents a circle with center (-1, 5) and radius √2.

So, one point that satisfies this equation is (-1, 5 - √2), which is √2 away from (-1, 5).

Learn more about Distance here

https://brainly.com/question/23319088

#SPJ4

The required area of the parallelogram and pentagon is 91 unit² and 75 unit².

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

A parallelogram in is shown in figure 1 with the dimensions height = 7 and base = 13,
Area of the parallelogram  = 13 × 7 = 91 unit²

Now,
A pentagon is shown in figure 2,
Area of the pentagon = 5 [1/2 × height × side]
                                 = 5 [1/2 × 5 × 6]

                                 = 75 suqare units.

Thus, the required area of the parallelogram and pentagon is 91 unit² and 75 unit².

Learn more about the surface area here: https://brainly.com/question/2835293

#SPJ1

Answer:

See below.  I assume that (x) = 8x2 - 7x + 3 is really (x) = 8x^2 - 7x + 3

Step-by-step explanation:

Substitute the value of x given in f(x) into the equation f(x) = 8x^2 - 7x + 3

For example, f(0) would be f(0) = 8(0)^2 - 7(0) + 3.  f(0) = 3

f(-2) would be f(-2) = 8(-2)^2 - 7(-2) + 3.  

                                =   8*4  + 14 +3

                                = 32 + 17        therefore      f(-2) = 49

x f(x)

-2 49

-1 18

0 3

1 4

2 21

What grade is that?

Step-by-step explanation:

Answer:

23/16, 1 7/16

Step-by-step explanation-

Add the fractions.

11/16 + 3/4 = 23/16.

It can be 23/16.

Or, if you want it simplified-

23/16 simplified is 1 7/16.

Answer and Step-by-step explanation:

Sum:

1. Convert 3/4 to have a 16 in the denominator

2. 3/4 * 4/4 = 12/16          Multiply

3. 11/16 + 12/16 = 23/16    Add

Subtraction:

1. Convert 3/4 to have a 16 in the denominator

2. 3/4 * 4/4 = 12/16          Multiply

3. 11/16 - 12/16 = - 1/16     Subtract

Multiplication:

1. 11/16 * 3/4 = 33/64       Multiply

Division

1. 11/16  /  3/4                    Divide

2. Multiply by the reciprocal of 3/4

3. 11/16 * 4/3 = 11/12         Multiply

Answer:90

Step-by-step explanation:

the main answer is that the mean value of the activity time is 21.67. This is calculated using the formula (optimistic + 4 * most likely + pessimistic) / 6.

To find the mean value of the activity time, we can use the three estimates provided: optimistic, most likely, and pessimistic time.

1. The optimistic time is the shortest possible time for completing the activity, which is 11 units.
2. The most likely time is the time that is most likely to be taken to complete the activity, which is 21 units.
3. The pessimistic time is the longest possible time for completing the activity, which is 35 units.

To calculate the mean value, we can use the following formula:
Mean value = (optimistic + 4 * most likely + pessimistic) / 6

Substituting the given values, we get:
Mean value = (11 + 4 * 21 + 35) / 6

Calculating the numerator first:
11 + 4 * 21 + 35 = 11 + 84 + 35 = 130

Now, we can calculate the mean value:
Mean value = 130 / 6

Dividing 130 by 6, we get:
Mean value = 21.67 (rounded to two decimal places)

Therefore, the mean value of the activity time is 21.67.

the main answer is that the mean value of the activity time is 21.67. This is calculated using the formula (optimistic + 4 * most likely + pessimistic) / 6.

To know more about numerator visit ;

https://brainly.com/question/32564818

#SPJ11