HELPPPP
Write a function that represents the balance after t years.
$2000 deposit that eams 5% annual interest compounded quarterly

The variables X and Y are independent is found using examining the marginal pdfs and check for factorization.

(a) To find the marginal pdf of Y, we integrate the joint pdf over the entire range of X.

∫fX,Y(x, y)dx = ∫ye^(-y)(1+x)dx

Integrating with respect to x, we get:

fY(y) = ye^(-y)∫(1+x)dx = ye^(-y)(x + (x^2/2)) evaluated from x = 0 to x = ∞

Simplifying, we have:

fY(y) = ye^(-y) * (∞ + (∞^2/2)) - ye^(-y) * (0 + (0^2/2))

However, this expression is not a complete pdf because it does not integrate to 1 over the entire range of Y. Hence, we cannot report a complete marginal pdf for Y.

(b) Based on the fact that we could not obtain a complete marginal pdf for Y, we can conclude that X and Y are dependent variables. If X and Y were independent, their joint pdf would factorize into the product of their marginal pdfs. Since this is not the case, we can infer that the lifetimes of the two components in the minicomputer are dependent on each other.

The lack of independence suggests that the lifetime of one component may affect the lifetime of the other component in some way. This information is important for understanding the reliability and performance of the minicomputer and can help in making appropriate decisions regarding maintenance and replacement of the components.

Learn more about marginal pdf here:

https://brainly.com/question/31064509

#SPJ11

First you will get 4dz

Answer:

5 * a^3 - 5 * a^2.

Step-by-step explanation:

is it wrong??

The simplest form by adding two number is \(3\sqrt{5}+2\sqrt{2}\)  and it is irrational number.

The square root of any number is equal to a number, which when squared gives the original number. Let us say n is a positive integer, such that  \(\sqrt{n.n}=\sqrt{(n)}^2=n\)

Given that, the two numbers,

3 square root of 5= \(3\sqrt{5 }\)

2 square root of 2 = \(2\sqrt{2}\)

Sum of these two numbers = \(3\sqrt{5}+2\sqrt{2}\)

We cannot simplify this term further.

The simplest form by adding two numbers is \(3\sqrt{5}+2\sqrt{2}\)

As it is clear, it is a irrational number.

Because, \(\sqrt{2}\) and \(\sqrt{5}\) is a irrational number.

Hence, the simplest form by adding two number is \(3\sqrt{5}+2\sqrt{2}\)  and it is irrational number.

Learn more about square root here:

https://brainly.com/question/3120622

#SPJ1

The shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).

What is a normal distribution?

A normal distribution is a function on some random variables, which represent the set of all those random variables in a symmetrical bell shape about the mean value.

It shows that the probability of occurrence of some data which is distributed over a function is more at or around the mean.

It is also known as probability distribution curve.

The normal distribution has two parameters:

What is the shape of the normal distribution?

The normal distribution curve is at it's peak at the mean value. This shows that the probability of occurrence of the data or value is more concentrated or distributed about the mean. It is also symmetric about the mean. As we more further from the mean, we see that the normal distribution curve gradually decreases showing that the probability of occurrence of the data or the values decreases. The shape that this curve forms is like a bell-shaped. So the shape of normal distribution is bell shape.

Hence, the shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).

Know more about "normal distribution" here: https://brainly.com/question/15103234

#SPJ4

Answer:

a² - b²

Step-by-step explanation:

We can recognize (a + b)(a - b) as a difference of squares.

Step 1: Write expression

(a + b)(a - b)

Step 2: FOIL (Expand)

a² - ab + ab - b²

Step 3: Combine like terms

a² - b²

The domain of the function that models Salvatore's price scale is;  {x 0 < x < 8}.

The domain of a graph is defined as the set of possible input values of a function.

Now, we are told that he charges $100  for all work that is completed in less than 2 hours and also that he charges $400 for work that takes between 5 and 8 hours.

This means that the number of hours will be less than 2 but cannot be zero but it is less than or equal to 8

Read more about Inequality domain at; https://brainly.com/question/22976364

#SPJ1

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

I dont have an explanation, sorry

Using it's concept, the range of the function is given by:

All real numbers less than or equal to 4.

The range of a function is the set that contains all possible output values for the function.

For a concave down parabola, the range is from negative infinity to the y-value of the vertex, which in this problem is of 4, hence the correct option is given by:

All real numbers less than or equal to 4.

The graph of the function is given at the end of the answer, which corroborates our answer, as the range is composed by the values of y of the function.

More can be learned about the range of a function at https://brainly.com/question/10891721

#SPJ1

Answer:

A one tailed test

Step-by-step explanation:

Chi-Square Distributions That Are Positively Skewed Have A Research Hypothesis That Is A One-Tailed Test.

Chi-Square distributions are positively skewed, with the degree of skew decreasing with increasing degrees of freedom.

#SPJ4

learn more on chi square

https://brainly.com/question/14082240

One-Tailed Test

Chi-Square distributions that are positively skewed have a research hypothesis that is a One-Tailed Test.

Learn more about chi-square distribution

https://brainly.com/question/4543358

#SPJ4

Answer:

Step-by-step explanation:

A

Answer:

  196 m²

Step-by-step explanation:

You want the surface area of the isosceles triangular prism with base edges of 8 m and 3 m, and a prism height of 9.1 m.

The area of a triangular base can be found from side lengths a, b, c using Heron's formula:

  A = √(s(s -a)(s -b)(s -c)) . . . . . . where s = (a+b+c)/2

Here, we have ...

  s = (3 + 8 + 8)/2 = 9.5

  A = √(9.5×6.5×1.5×1.5) = √138.9375 ≈ 11.79 . . . . square meters

Then the area of the two bases is ...

  total base area = 2×11.78 m² = 23.57 m²

The lateral area of the prism is the sum of the areas of its rectangular faces. That sum is the product of the prism height and the perimeter of the base.

  LA = (9.1 m)(19 m) = 172.9 m²

Then the total surface area of the prism is ...

  surface area = base area + lateral area

  surface area = 23.57 m² +172.9 m² = 196.47 m²

The surface area of the prism is about 196 square meters.

<95141404393>

the composite function that can be used to determine the height, in meters, of the flare at any given time is:
h_meters(t) = 0.3048 * h(t)

To determine the height of the flare in meters at any given time, we can use the composite function. The composite function is obtained by converting the height in feet to meters.

The conversion factor to convert feet to meters is 0.3048. So, we can multiply the height in feet by 0.3048 to get the height in meters.

Therefore, the composite function that can be used to determine the height, in meters, of the flare at any given time is:

h_meters(t) = 0.3048 * h(t)  Where h(t) is the height of the flare in feet, and h_meters(t) is the height of the flare in meters.

Know more about composite function here:

https://brainly.com/question/30660139

#SPJ11

1b 2d 3a 4c

1) 2x+3=9

The first step is to subtract 3 from each side,

2x =6

x=3

So

1) b

2) 3x -3 =15 The next step is to add 3 to isolate 3x

3x =18

x=6

2) d

3) -2p +9=-11 Subtract 9 from both sides so that we isolate the -2p

-2p=-11-9

-2p=-20

2p=20

p=10

3) a

4) 11=-4m -9 Add 9 from each side..

11 +9=-4m

20=-4m

-20=4m

m=-5

4)c

Answer:

rate of change is 4.

Step-by-step explanation:

rate of change is the slope, so, pick any two relations given to us in the table.

(-3, -14) and (-1, -6).

slope = y2 - y1/ x2 - x1

slope = -6 - (-14)/-1-(-3)

slope = 8/2 = 4.

the rate of change is 4.

Answer:

\(IQR = 15\)

Step-by-step explanation:

Given

I will answer this question with the attached plot

Required

The interquartile range (IQR)

This is calculated using:

\(IQR = Q_3 - Q_1\)

On the second attachment, I identified Q1 and Q3 on the plot.

So, we have:

\(Q_3 = 40\)

\(Q_1 = 25\)

\(IQR = Q_3 - Q_1\)

\(IQR = 40 - 25\)

\(IQR = 15\)

Answer:

There is no solution

Step-by-step explanation:

NO SOLUTION

Answer:

no solution

Step-by-step explanation:

9x+3x-10=3(3x+x)

Distribute

9x+3x-10=9x+3x

Combine like terms

12x-10 = 12x

Subtract 12x from each side

12x-10-12x = 12x-12x

-10 =0

This is never true so there are no solutions

Answer:

Here we need to use the relation:

Distance = rate×time

Where "rate" is the speed at which the dolphin moves.

To answer different questions.

A) Dividing both sides by "time" we can rearrange the above relation to get:

rate = distance/time

B) We know that the dolphin swims 665,280 feet in 3 hours, then:

distance =  665,280 feet

time = 3 hours

Then the rate is

C) Now we want to rewrite the equation in miles per hour.

To do it, we need to use the relation:

1 mi = 5280 ft

Then we can rewrite the rate as:

That one is the rate in miles per hour.

D) Which one makes more sense to use?

The second one is a way simpler number (to read and to use in other equations) so we should use the rate in miles per hour.

Hope this helps:)

Brainly plz.

a) The Sample size is calculated to be  4,272 U.S. adults and count is 897. (b) Sample proportion is 0.21 or 21%. (c)The sample proportion is an estimate of the population proportion.

The sample size is 4,272 U.S. adults, and the count of those who regularly wear a smart watch or fitness tracker is 897.

To calculate the sample proportion, we divide the count of those who regularly wear a smart watch or fitness tracker by the sample size:

sample proportion = count / sample size

sample proportion = 897 / 4,272

sample proportion = 0.21 or 21%

Therefore, the sample proportion of U.S. adults who regularly wear a smart watch or fitness tracker is 21%.

The population proportion is the proportion of all U.S. adults who regularly wear a smart watch or fitness tracker, while the sample proportion is the proportion of U.S. adults in the sample who regularly wear a smart watch or fitness tracker.

The relationship between the two proportions is that the sample proportion is an estimate of the population proportion. The sample proportion provides a rough idea of the proportion of all U.S. adults who regularly wear a smart watch or fitness tracker, but it may not be exactly the same as the population proportion due to sampling error.

To get a more accurate estimate of the population proportion, we would need to take a larger and more representative sample or survey the entire population.

Learn more about sample proportion :

https://brainly.com/question/18567493

#SPJ4

Is there a graph or a chart for this question?

Answer:

just use Pythagoras theorem ....

Answer:

y=5

Step-by-step explanation:

The curve stops at the y value of 6. And we need a horizontal line for the asymptote, so we don't need an x value only a y-value. So the y-value is 5 on the y-axis, which means your equation will be y=5.

-Hope this helped

Answer:

Thus, a product that normally costs $55 with a 40 percent discount will cost you $33.00, and you saved $22.00. You can also calculate how much you save by simply moving the period in 40.00 percent two spaces to the left, and then multiply the result by $55 as follows: $55 x . 40 = $22.00 savings.

Step-by-step explanation:

Jocelyn's total grade could be either 73 or 74, depending on the specific odd score she received on the final portion of the test.

We know that Jocelyn scored 17, 20, 18, and 19 on the first four sections of the test. Let's denote her score on the fifth and final section as x. Since Jocelyn scored an odd number on the final portion, x must be an odd number.

To calculate the total grade, we sum up the scores from all five sections:

Total grade = 17 + 20 + 18 + 19 + x

Given that x is an odd number, we can substitute some possible values to determine the potential total grades:

1. If x = 15:

  Total grade = 17 + 20 + 18 + 19 + 15 = 89

2. If x = 17:

  Total grade = 17 + 20 + 18 + 19 + 17 = 91

3. If x = 19:

  Total grade = 17 + 20 + 18 + 19 + 19 = 93

Since we are looking for the possible total grades when Jocelyn scored an odd number on the final portion, the potential total grades could be 89, 91, or 93.

To know more about Grade, visit

https://brainly.com/question/29567654

#SPJ11

The decimal division of 18.92 by 11 gives us; 1.72

When dividing decimals,  we first have to convert the divisor to a whole number by moving the decimal point to the right. Thereafter, we now carry the dividend's decimal point up to the exact same number of places to the right and then divide the resultant numbers in the normal way, like in regular long division.

We want to divide 18.92 by 11. Thus, let us apply that rule described above to get;

18.92/11 = 1892/1100

= 1 + (1892 - 1100)/1100

= 1 + (792/1100)

= 1 + 0.72

= 1.72

Read more about division of decimal numbers at; brainly.com/question/703656

#SPJ1

16/9

1,7777777777777 =

= 1,(7)

= (17 - 1)/9

= 16/9

Completing the equalities using the given options, we have:

\(a) sin^(-1)(1) = 90°\\b) cos^(-1)(1/2) = 60°\\c) tan^(-1)(√3) = 60°\)

a) \(sin^(-1)(1) = 90°\)

The inverse sine function, \(sin^(-1)(x)\)gives the angle whose sine is equal to x. In this case, we are looking for the angle whose sine is equal to 1. The angle that satisfies this condition is 90 degrees, so\(sin^(-1)(1) = 90°\).

b) \(cos^(-1)(1/2) = 60°\)

The inverse cosine function, cos^(-1)(x), gives the angle whose cosine is equal to x. Here, we are looking for the angle whose cosine is equal to 1/2. The angle that satisfies this condition is 60 degrees, so \(cos^(-1)(1/2)\)= 60°.

c) \(tan^(-1)(√3) = 60°\)

The inverse tangent function, tan^(-1)(x), gives the angle whose tangent is equal to x. In this case, we are looking for the angle whose tangent is equal to √3. The angle that satisfies this condition is 60 degrees, so tan^(-1)(√3) = 60°.

Completing the equalities using the given options, we have:

\(a) sin^(-1)(1) = 90° b) cos^(-1)(1/2) = 60°c) tan^(-1)(√3) = 60°\)

For more such questions on Equalities

https://brainly.com/question/30339264

#SPJ8

a) The completed equalities are:

sin-¹(x) = 30°, sin-¹(x) = 45°, sin-¹(x) = 60°

b) The completed equalities are:

cos-¹(x) = 30°, cos-¹(x) = 45°, cos-¹(x) = 60°

c) The completed equalities are:

tan-¹(x) = 30°, tan-¹(x) = 45°, tan-¹(x) = 60°. C.

a) sin-¹(x) = 30°, 45°, 60°

The inverse sine function, sin-¹(x), gives the angle whose sine is equal to x.

Let's find the angles for each option given:

sin-¹(x) = 30°:

If sin-¹(x) = 30°, it means that sin(30°) = x.

The sine of 30° is 0.5, so x = 0.5.

sin-¹(x) = 45°:

If sin-¹(x) = 45°, it means that sin(45°) = x.
The sine of 45° is √2/2, so x = √2/2.

sin-¹(x) = 60°:

If sin-¹(x) = 60°, it means that sin(60°) = x.

The sine of 60° is √3/2, so x = √3/2.

The completed equalities are:

b) cos-¹(x) = 30°, 45°, 60°

The inverse cosine function, cos-¹(x), gives the angle whose cosine is equal to x.

Let's find the angles for each option given:

cos-¹(x) = 30°:

If cos-¹(x) = 30°, it means that cos(30°) = x.

The cosine of 30° is √3/2, so x = √3/2.

cos-¹(x) = 45°:

If cos-¹(x) = 45°, it means that cos(45°) = x.
The cosine of 45° is √2/2, so x = √2/2.

cos-¹(x) = 60°:

If cos-¹(x) = 60°, it means that cos(60°) = x.

The cosine of 60° is 0.5, so x = 0.5.

Therefore, the completed equalities are:

c) tan-¹(x) = 30°, 45°, 60°

The inverse tangent function, tan-¹(x), gives the angle whose tangent is equal to x.

Let's find the angles for each option given:

tan-¹(x) = 30°:

If tan-¹(x) = 30°, it means that tan(30°) = x.

The tangent of 30° is 1/√3, so x = 1/√3.

tan-¹(x) = 45°:

If tan-¹(x) = 45°, it means that tan(45°) = x.

The tangent of 45° is 1, so x = 1.

tan-¹(x) = 60°:

If tan-¹(x) = 60°, it means that tan(60°) = x.

The tangent of 60° is √3, so x = √3.

The completed equalities are:

tan-¹(x) = 30°, tan-¹(x) = 45°, tan-¹(x) = 60°. c)

For similar questions on completed equalities

https://brainly.com/question/29097867

#SPJ8

Answer:

\({ \bf{2x - 5y = 5 - - - (a)}} \\ { \bf{x + y = 2 - - - (b)}} \\ (a) - 2(b) : \\ - 7y = 1 \\ y = - \frac{1}{7} \\ x - \frac{1}{7} = 2 \\ x = \frac{15}{7} \)

Answer:

\(x = \frac{15}{7} , \ y = - \frac{1}{7}\)

Step-by-step explanation:

2x - 5y = 5  ---------- ( 1 )

 x + y = 2  ------------ ( 2 )

x = 2 - y ---------( 3 )

Substitute x in ( 1 ) :

                         2( 2 - y) - 5y = 5

                             4 - 2y - 5y = 5

                                - 7y = 5 - 4

                                   -7 y = 1

                                       \(y =- \frac{1}{7}\)

Substitute y in ( 2 ) :

                         \(x + y = 2\\\\x -\frac{1}{7} = 2\\\\x = 2 + \frac{1}{7}\\\\x = \frac{14 + 1}{7}\\\\x = \frac{15}{7}\)

Answer:

19% chance he pulled out aeio and u