Please help me ;-; idk how to do this

Answer:

a. Probability density function for the battery life

\(f(x)={\begin{cases}{\dfrac {1}{12-8.5}}=\dfrac{1}{3.5}&\mathrm {for} \ 8.5\leq x\leq 12,\\[8pt]0&\mathrm {for} \ x<8.5\ \mathrm {or} \ x>12\end{cases}}\)

b. P(x<11) = 0.7143

Step-by-step explanation:

The question is incomplete

In October, Apple introduced a much smaller variant of the Apple iPad, known as the iPad Mini. Weighing less than 11 ounces, it was about 50% lighter than the standard iPad. Battery tests for the iPad Mini showed a mean life of hours (The Wall Street Journal, October 31, 2012). Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours.

a. Give a mathematical expression for the probability density function of battery life.

b. What is the probability that the battery life for an iPad Mini will be 11 hours or less (to 4 decimals).

a. We model the battery life as random variable with an uniform distribution with parameters a (min. value)=8.5 hours and b (max. value)=12 hours.

The probability that the battery life takes any value between 8.5 and 12 is constant. Also, the probability that takes any value outside the interval (8.5, 12) is 0.

We can express that as:

\(f(x)={\begin{cases}{\dfrac {1}{12-8.5}}=\dfrac{1}{3.5}&\mathrm {for} \ 8.5\leq x\leq 12,\\[8pt]0&\mathrm {for} \ x<8.5\ \mathrm {or} \ x>12\end{cases}}\)

The last is the probability density function for the battery life.

b. We can calculate P(x<11) using the cumulative density function or integrating the density function between x=0 (or x=a=8.5) and x=11.

\(P(x<11)=\int\limits^{11}_{8.5} \dfrac{1}{3.5} \, dx=\dfrac{1}{3.5}(x_2-x_1)=\dfrac{1}{3.5}(11-8.5)=\dfrac{2.5}{3.5}= 0.7143\)

Answer:

Step-by-step explanation:

According to the central limit theorem, if independent random samples of size n are repeatedly taken from any population and n is large, the distribution of the sample means will approach a normal distribution. The size of n should be greater than or equal to 30. Given n = 100 for both scenarios, we would apply the formula,

z = (x - µ)/(σ/√n)

a) x is a random variable representing the salaries of accounting graduates. We want to determine P( x > 52000)

From the information given

µ = 50402

σ = 6000

z = (52000 - 50402)/(6000/√100) = 2.66

Looking at the normal distribution table, the probability corresponding to the z score is 0.9961

b) x is a random variable representing the salaries of finance graduates. We want to determine P(x > 52000)

From the information given

µ = 49703

σ = 10000

z = (52000 - 49703)/(10000/√100) = 2.3

Looking at the normal distribution table, the probability corresponding to the z score is 0.9893

c) The probabilities of either jobs paying that amount is high and very close.

Answer:

c.92,598

Step-by-step explanation:

20000 + 20000/1.04 + 20000/(1.04^2) + 20000/(1.04^3) + 20000/(1.04^4)

= 20000 + 19230.77 + 18491.12 + 17779.73 + 17096.08

= 92597.7

= 92,598

Answer:

8

Step-by-step explanation:

There are 4 possible ways he could have written it: chalk, pen, pencil, and marker.

There are 2 ways he wrote it: French and English

4*2=8

He wrote his name in 8 different ways.

Answer: Final Balance is $11,591.87 and the total compound interest is $1,731.87.

Step-by-step explanation:

Answer:

1. The mean amount that this farmer will earn over a long period of years is:

$57,100

2. It makes sense financially for the farmer to buy the insurance.   In a year of drought, he earns only $5,200.  If he spends on insurance premium, his earnings are reduced by $2,000 to $3,200 but the insurance reimbursement will take his overall net earnings to $23,200 ($3,200 + $20,000).  Incurring the insurance expense is highly justified.

Step-by-step explanation:

Earnings in a typical year = $75,000

Earnings in a wet year = $48,000

Earnings in a drought = $26,000

Pro

                         Typical            Wet           Drought

Earnings          $75,000       $48,000      $26,000

Probability        0.50              0.30             0.20

Expected

 earnings       $37,500       $14,400        $5,200

Mean earnings = $57,100

Insurance expense                                 $2,000

Net earnings after insurance expense $3,200

Insurance Reimbursement                  $20,000

Net earnings                                         $23,200

First, find the equation

y = F(x) = x +3

Then plug in 2 for x ( you could also go to 2 on the x-axis to find the Y)

F(2) = (2)+3

F(2) = 5

Step-by-step explanation:

y = 4x²+ 40x+112 (:4)

x²+ 10x+ 28.

28

1. |. 28

2. |. 14

4. |. 7

(x+4)(x+7)=0

x= -4. V. x= -7

Now fill in the x= -4 in y so you get the Y-coordinate and do the same for x= -7

Anseer should be like: 'The coordinates are (x, y) and (x, y)

he net income for the year is $16,550.

Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)

Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500

Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800

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Answer:

y=3/2, decimal form, y=1.5, mixed number y=1 1/2

Step-by-step explanation:

120-10\left(4y+8\right)=5\left(8y-16\right)\=120-40y-80

-40y+40

Answer:

the following is equal to the rational expressions when x5

Yes, the least squares technique minimizes the sum of the squares of the vertical distances between the actual y values and the predicted values of y.

Least square method is the process of finding a regression line or best-fitted line for any data set that is described by an equation. This method requires reducing the sum of the squares of the residual parts of the points from the curve or line and the trend of outcomes is found quantitatively. The method of curve fitting is seen while regression analysis and the fitting equations to derive the curve is the least square method.

The least-squares method is a statistical method used to find the line of best fit of the form of an equation such as y = mx + b to the given data. The curve of the equation is called the regression line. Our main objective in this method is to reduce the sum of the squares of errors as much as possible. This is the reason this method is called the least-squares method.

Thus, the least squares technique minimizes the sum of the squares of the vertical distances between the actual y values and the predicted values of y.

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Question: Perform the following computation with radicals. Simplify the answer.  √6 • √8

Answer:

\( 4\sqrt{3} \)

Step-by-step explanation:

Given, √6 • √8, to perform the computation, we would simply evaluate the radicals and try as much as possible to leave the answer in the simplest form in radicals.

Thus,

\( \sqrt{6}*\sqrt{8} = \sqrt{6*8} \)

\( = \sqrt{48} \)

\( = \sqrt{16*3} = \sqrt{16}*\sqrt{3}\)

\( = 4\sqrt{3} \)

1. The value of x is 9

2. The value of x is 8

To determine the value of the variables, we need to know the properties of a triangle.

These properties includes;

Now, from the information given, we have that;

<L = <Q

<M = <R

The side facing <L is 9

The side facing <Q is x

x = 9

2. The side facing <L is 6

The side facing <Q is 12

Then, x = 8

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Answer/Step-by-step explanation:

1. <A = <B (alternate angles theorem)

90° = 2x (substitution)

Divide both sides by 2

90/2 = 2x/2

45 = x

x = 45

2. <3 = <5 (corresponding angles theorem)

½x = 60 (substitution)

Multiply both sides by 2

x = 60*2

x = 120

3. Based on supplementary bangle theorem, sum of supplementary angles = 180°. Therefore:

m<LFG + m<ABC = 180°

2.5x + x + 33 = 180 (substitution)

Add like terms

3.5x + 33 = 180

3.5x = 180 - 33

3.5x = 147

x = 147/3.5

x = 42

3a. m<LFG = 2.5x

Plug in the value of x

m<LFG = 2.5(42)

m<LFG = 105°

3b. m<ABC = x + 33

Plug in the value of x

m<ABC = 42 + 33

m<ABC = 75°

*see attachement for the diagram of the tissue paper

Answer:

Volume of the roll = 3,817.04 cm³

Step-by-step explanation:

The diagram of the roll of the tissue paper given is a model of two cylinders:

✔️Bigger cylinder with diameter (d) of 14 cm and height of 27 cm

✔️ Smaller/inner cylinder with diameter (d) of 4 cm and height of 27 cm

Thus:

The Volume of the roll = volume of bigger cylinder - volume of smaller cylinder

✔️Volume of bigger cylinder = πr²h

r = ½(14) = 7 cm

h = 27 cm

Volume of bigger cylinder = π*7²*27

= 4156.33 cm³

✔️Volume of smaller/inner cylinder = πr²h

r = ½(4) = 2 cm

h = 27 cm

Volume of smaller/inner cylinder = π*2²*27

= 339.29 cm³

✅The Volume of the roll = 4156.33 - 339.29 = 3,817.04 cm³

Answer:

a. 2/3 < 5/3

b. 2 1/2 > 9/4

c. 2/5 < 3/7

a. 5/3 > 1 1/3

b. 2 1/2 = 10/4

c. 3 5/6 < 21/4

Step-by-step explanation:

2/3 = 0.6667 (Rounded Answer)

5/3 = 1.6667 (Rounded Answer)

2 1/2 = 2.5

9/4 = 2.25

2/5 = 0.4

3/7 = 0.4286 (Rounded Answer)

5/3 = 1.6667 (Rounded Answer)

1 1/3 = 1.3334 (Rounded Answer)

2 1/2 = 2.5

10/4 = 2.5

3 5/6 = 3.8334  (Rounded Answer)

21/4 = 5.25

a) 90% confident that the true population mean μ is between 91.01 and 102.99.

b) 90% confident that the true population mean μ is between 92.26 and 101.74.

c) 80% confident that the true population mean μ is between 93.79 and 100.21.

d) Using Central Limit Theorem to approximate the population mean as normally distributed, the confidence intervals can still be computed using the same formula as before.

(a) To construct a 90% confidence interval about μ when n = 27, we use the formula:

x ± z × (s/√n)

where x is the sample mean, s is the sample standard deviation, n is the sample size, and z is the z-score that corresponds to the desired confidence level (in this case, z = 1.645 for a 90% confidence level). Plugging in the values given, we get:

97 ± 1.645 × (13/√27)

which simplifies to:

(91.01, 102.99)

Therefore, we are 90% confident that the true population mean μ is between 91.01 and 102.99.

(b) To construct a 90% confidence interval about μ when n = 18, we use the same formula as before, but with a different z-score (since the sample size is smaller). In this case, we use z = 1.734, and we get:

97 ± 1.734 × (13/√18)

which simplifies to:

(92.26, 101.74)

Therefore, we are 90% confident that the true population mean μ is between 92.26 and 101.74.

(c) To construct an 80% confidence interval about μ when n = 27, we use the same formula as before, but with a different z-score (since the confidence level is different). In this case, we use z = 1.282, and we get:

97 ± 1.282 × (13/√27)

which simplifies to:

(93.79, 100.21)

Therefore, we are 80% confident that the true population mean μ is between 93.79 and 100.21.

(d) The confidence intervals in parts (a)-(c) assume that the population is normally distributed. If the population is not normally distributed, we cannot rely on these intervals to accurately estimate the true population mean. However, if the sample size is sufficiently large (usually n > 30), we can use the Central Limit Theorem to approximate the population mean as normally distributed, and the confidence intervals can still be computed using the same formula as before. If the sample size is small and the population is not normally distributed, other methods may be needed to construct a confidence interval, such as bootstrapping or using a non-parametric approach.

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Answer:

-3.

Step-by-step explanation:

=  6(Sum+8) = 30

=  6Sum + 48 = 30

= 6Sum = -18

= Sum = -3

Hope this helps you :)

Answer:

the answer to this is 6(-3+8)=30

The motivations for producers and consumers in the black market are largely driven by financial incentives and a desire to avoid legal consequences.

The black market refers to the illegal trade of goods and services that are not permitted by law, such as drugs, counterfeit items, and stolen goods. Producers and consumers in the black market are motivated by a variety of factors, including:

High profits, Producers in the black market can earn higher profits than they would in legal markets due to the lack of regulation and taxes.

Escaping legal consequences: Producers and consumers may participate in the black market to avoid legal consequences, such as fines or imprisonment, for engaging in illegal activities.

Limited availability, Some goods and services are only available on the black market due to legal restrictions or limited supply.

Low prices, Consumers in the black market can often purchase goods and services at lower prices than in legal markets due to the lack of taxes and regulations.

Desire for anonymity, The black market can provide anonymity for both producers and consumers, allowing them to engage in illegal activities without fear of detection or retribution.

However, participating in the black market also comes with significant risks, including the possibility of arrest, fines, and even violence.

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$34,251.05

i hope this helps

The formula for the amount earned with compound interest after n years is given as:

A = P \((1 + \frac{R}{n} )^{nt}\)

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

The amount Liam got on his 18th birthday is $34,251.05.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P \((1 + \frac{R}{n} )^{nt}\)

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

Example:

P = 200

R = 2%

t = 3 years

compounded annually, n =1

A = $212.24

We have,

Principal = $20,000

Rate = 3%

There are 4 quarters in a year.

It is compounded quarterly.

This means,

n = 4

t = 18 years

The amount compounded quarterly.

A = 20,000 \((1 + 0.0075)^{72}\)

A = 20,000 x \(1.0075^{72}\)

A = $34,251.05

Thus,

The amount Liam got on his 18th birthday is $34,251.05.

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Answer:

Step-by-step explanation:

148 people

Answer: (6,2)

Step-by-step explanation:

(7,5)     (x,2)      m=3     x=?

y=mx+b

y=3x+b   (1)

To find the coefficient b we take the coordinate that belongs to this line (7,5): x=7    y=5

5=3(7)+b

5=21+b

5-21=21+b-21

-16=b

Thus, b=-16

Hence, y=3x-16

To find the x we take the coordinate that belongs to this line (x,2): y=2

2=3x-16

2+16=3x-16+16

18=3x

Divide both parts of the equation by 3:

6=x

Thus, x=6

Answer:

2x-3y+z

Step-by-step explanation:

-2x-y-2z+4x-2y+3z

combine like terms

-2x+4x= 2x

-y-2y= -3y

-2z+3z= z

so..

2x-3y+z

Answer:

B.28

Step-by-step explanation:

Answer:

1) 0.25

2) -2.342

Step-by-step explanation:

Answer:

y=(x+8)^2/6 - 5/2

Step-by-step explanation:

Khan Academy

Answer:

a = sqrt(21)

Step-by-step explanation:

a^2 + b^2 = c^2 (pythagorean theorem)

2^2 + a^2 = 5^2

4 + a^2 = 25

a^2 = 21

a = sqrt(21)

hope this helps! <3

Answer:

root 21

Step-by-step explanation:

u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D

Answer:

The range of the function is: -∞≤y≤∞.

Consider the provided function.

The range of the function is the set of all values which a function can produce or the set of y values which a function can produce after substitute the possible values of x.

The range of a cubic root function is all real numbers.

Now consider the provided function.

The above function can be written as:

Taking cube on both sides.

The graph of the function is shown in figure 1:

For any value of x we can find different value of y.

Here, the cube root function can process negative values. Since, the function can produce any values, the range of the given function is  -∞≤y≤∞ .

Therefore, the range of the function is: -∞≤y≤∞ (A).