Assume the random variable x is normally distributed with mean-84 and standard deviation σ = 4 Find the indicated probability P(x < 78)

This expression gives us a present value of approximately $1,376,500.

To calculate the present value of John Doe's winnings, we need to find the present value of each individual payment and then sum them up.

The formula to calculate the present value of an annuity is:

PV = C * (1 - (1 + r)^(-n)) / r

Where PV is the present value, C is the annual payment, r is the discount rate, and n is the number of periods.

In this case, John Doe will receive $100,000 each year for 30 years, and the discount rate is 6%. Plugging these values into the formula, we get:

PV = $100,000 * (1 - (1 + 0.06)^(-30)) / 0.06

Calculating this expression gives us a present value of approximately $1,376,500.

Therefore, the correct answer is:

c. $1,376,500.

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P = 90 is the solution for the given equation.

Given: Qd=95−4

PQs=5+P

To find Qd if P=5:

Put P = 5 in the equation

Qd=95−4P

Qd = 95 - 4 x 5

Qd = 75

So, Qd = 75.

To find P if Qs = 20:

Put Qs = 20 in the equation

Qs = 5 + PP

= Qs - 5P

= 20 - 5P

= 15

So, P = 15.

To solve Qd=Qs, substitute Qd and Qs with their respective values.

Qd = Qs

95 - 4P = 5 + P

Subtract P from both sides.

95 - 4P - P = 5

Add 4P to both sides.

95 - P = 5

Subtract 95 from both sides.

- P = - 90

Divide both sides by - 1.

P = 90

Thus, P = 90 is the solution for the given equation.

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The data supports the hypothesis that the start-up costs of the two types of businesses, specialty clothing stores and coffee houses, are significantly different at a 1% significance level.

The null hypothesis (H₀): The start-up costs of specialty clothing stores and coffee houses are equal.

The alternative hypothesis (H₁): The start-up costs of specialty clothing stores and coffee houses are different.

The significance level (α) is given as 1% or 0.01.

The test statistic for a two-sample t-test is given by:

t = (x₁ - x₂) / √[(s₁²/n₁) + (s₂²/n₂)]

Plugging in the given values:

x₁ = $92,000, x₂ = $74,000, s₁ = $24,000, s₂ = $18,000, n₁ = 15 and n₂ = 12

t = (92,000 - 74,000) / √[(24,000²/15) + (18,000²/12)]

Since the significance level is 1% (0.01), we need to find the critical value for a two-tailed test with a degree of freedom equal to (n₁ + n₂ - 2).

We can use a t-table or statistical software to find this value.

For a significance level of 0.01 and degrees of freedom (15 + 12 - 2 = 25), the critical value is approximately ±2.796.

If the absolute value of the calculated t-statistic is greater than the critical value from Step 4, we reject the null hypothesis.

Otherwise, we fail to reject the null hypothesis.

Let's calculate the test statistic:

t = (92,000 - 74,000) / √[(24,000²/15) + (18,000²/12)]

= 18,000 / √[(3,840,000/15) + (3,240,000/12)]

= 24.82

Since the absolute value of the calculated t-statistic (|24.82|) is greater than the critical value (2.796) at the 1% significance level, we reject the null hypothesis.

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Solution

The graph

A checking account is used for daily basis transaction and a debt and is usually associated with it.Saving accounts is just used for saving money.It has a time limit then you can withdraw your money.It is not on daily basis.

A bank account that allow the user to withdraw the money ,pay bill,transfer money to other person or make a purchase anything by writing checks.Check accounts typically don't earn interest.By checking accounts we can easily deposit and withdraw money for daily transaction.

Saving accounts are intended for storing your money which you don't plan to use daily.saving accounts earns interest at your money.saving account is designed for the accumulation of money in a safe place for future use.saving accounts offer easy access to your money in any emergency.so keeping your money in a saving account means that your money is safe for your future use.

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Answer:

\(50\)

Step-by-step explanation:

Let \(x =\) blank (for convenience)

\(20\%x=10\)

\(0.2x=10\) (change \(20\%\) into its decimal form)

\(x = 10\div 0.2\) (divide \(0.2\) on both sides)

\(x=50\)

∴ Blank = 50

Hope this helps :)

Answer:

Step-by-step explanation:

8d+2d+6d+9-6d = 0

First, combine like terms, so it would become;

10d+9 = 0

Then, separate anything without a variable;

10d = -9

Then you divide;

d= -0.9

Answer:

10d + 9 = 0

Step-by-step explanation:

Simple explanation:

1.  8d + 2d + 6d + 9 - 6d = 0

2. 16d + 9 - 6d = 0

3. Ans: 10d + 9 = 0

Thorough explanation

1. Solve the equation using BIMDAS OR BEDMAS - whatever acronym you were taught

2. Since there are addition and subtraction in this equation we need to solve it from left to right.

3. Re-arrange the equation by putting like terms together - if that makes sense:

So 8d + 2d + 6d + 9 - 6d = 0

Becomes  8d + 2d + 6d - 6d + 9 = 0

4. Then you simply simplify the equation (Remember, go from left to right)

5. (8+2+6)d - 6d + 9 = 0

6. 16d - 6d + 9 = 0

7. (16-6)d + 9 = 0

8. Ans: 10d + 9 = 0

You can leave it at here because you only need to solve the equation. However, if the question says to "solve for d" (which is not the question being asked rn), then take 9 from both sides: 10d + 9 - 9 = 0 - 9

Which gives you: 10d = -9

Then divide by 10

                         10d/10= -9/10

             Ans:            d = -9/10

d would equal negative nine over ten

The company needs to sell 2,000 units or generate $20,000 in sales to break even.

To calculate the break-even point in units, we need to divide the fixed costs by the contribution margin per unit. The contribution margin is the difference between the selling price and variable costs per unit. In this case, the contribution margin is $10 - $5 = $5 per unit. So, the break-even point in units is:
Break-even point (in units) = Fixed costs / Contribution margin per unit
Break-even point (in units) = $10,000 / $5 per unit
Break-even point (in units) = 2,000 units
To calculate the break-even point in dollar sales volume, we need to multiply the break-even point in units by the selling price. So, the break-even point in dollar sales volume is:
Break-even point (in dollar sales volume) = Break-even point (in units) x Selling price per unit
Break-even point (in dollar sales volume) = 2,000 units x $10 per unit
Break-even point (in dollar sales volume) = $20,000
Therefore, the company needs to sell 2,000 units or generate $20,000 in sales to break even. It is important to note that any sales volume above the break-even point will generate profits for the company.

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Answer:

The lateral surface area is  \(80,638.4 \ cm^2\)

Step-by-step explanation:

Lateral Surface Area of a Cylinder

It can be computed with the formula:

\(\displaystyle A=\pi r^2+2\pi rh\)

Where:

r = radius of the circular base

h = height

The circumference of the base can be calculated as:

\(C = 2\pi r\)

We are given the circumference C=252 cm, let's find the radius solving for r:

\(\displaystyle r=\frac{C}{2\pi}\)

\(\displaystyle r=\frac{252\ cm}{2\pi}\)

r = 40.1 cm

Now we calculate the lateral surface area knowing h=3 m=300 cm:

\(\displaystyle A=\pi 40.1^2+2\pi 40.1*300\)

\(\boxed{A = 80,638.4 \ cm^2}\)

The lateral surface area is \(80,638.4 \ cm^2\)

Answer: 1) Error response times

2) Memory Scanning, visual search

3) Stimulus identification

Step-by-step explanation:1) response times reflext the time it takes to interpret a stimulus,get info from memory, initiate a muscle response

2) The hippocampus retrieves info from the working memory and begins to change the brains physical neural wiring

3) A decisive role in our perception and cognition

In general, there are two areas of psychology where mathematics is heavily utilized: mathematical modeling of psychological theories and experimental phenomena, which gives rise to mathematical psychology, and statistical approaches to quantitative measurement practices in psychology, which give rise to psychometrics.

The width of the original piece of sheet metal is (w^2 - l^2)/(3w + 3l), and the length is (l^2 - w^2)/(3w + 3l).

To solve this problem, we can use the formula for the volume of a rectangular box, which is V = lwh, where l is the length, w is the width, and h is the height.

First, let's find the height of the box. Since we cut squares from each corner, the height of the box is the length of the square that was cut out. Let's call this length x.

The width of the box is the original width minus the lengths of the two squares that were cut out, which is w - 2x.

Similarly, the length of the box is the original length minus the lengths of the two squares that were cut out, which is l - 2x.

Now we can write the volume of the box in terms of x, w, and l:

V = (w - 2x)(l - 2x)(x)

Expanding this expression, we get:

V = x(4wl - 4wx - 4lx + 8x^2)

Simplifying further:

V = 4x^3 - 4wx^2 - 4lx^2 + 4wlx

To find the dimensions of the original piece of sheet metal, we need to maximize this volume. We can do this by taking the derivative of the volume with respect to x and setting it equal to zero:

dV/dx = 12x^2 - 8wx - 8lx + 4wl = 0

Solving for x, we get:

x = (2wl)/(3w + 3l)

Now we can use this value of x to find the width and length of the original piece of sheet metal:

w - 2x = w - 2(2wl)/(3w + 3l) = (w^2 - l^2)/(3w + 3l)

l - 2x = l - 2(2wl)/(3w + 3l) = (l^2 - w^2)/(3w + 3l)

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If a miniature model of the pyramid is 3 inches wide. The volume of the model is 4.5.

Pyramids square bases  are twice as wide as they are tall

Model of pyramid=3 inches wide

First step is to find the model height

Let Model height=x

2 × height=weight

2x=3

x=3/2

x=1.5

Second step is to calculate the volume of model:

Volume of model=3×3×1.5×1/3

Volume of model=4.5

Therefore the volume of the model is 4.5.

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The standard deviation of McDonovan, Inc.'s stock returns is approximately 19.54%.

To calculate the standard deviation for McDonovan, Inc.'s stock returns using the provided information, we can use the following steps:

1. Assign weights to each return based on their respective probabilities.

Boom: Probability = 0.20, Return = 0.40

Normal: Probability = 0.60, Return = 0.15

Recession: Probability = 0.20, Return = -0.20

2. Calculate the expected return by taking the weighted average of the returns.

Expected Return = (0.20 × 0.40) + (0.60 × 0.15) + (0.20 × -0.20) = 0.09 or 9%

3. Calculate the squared difference between each return and the expected return.

Boom: (0.40 - 0.09)² = 0.1296

Normal: (0.15 - 0.09)² = 0.0036

Recession: (-0.20 - 0.09)² = 0.0736

4. Calculate the variance by taking the weighted average of the squared differences.

Variance = (0.20 × 0.1296) + (0.60 × 0.0036) + (0.20 × 0.0736) = 0.03808

5. Take the square root of the variance to obtain the standard deviation.

Standard Deviation = √(0.03808) = 0.1954 or 19.54%

Therefore, the standard deviation of McDonovan, Inc.'s stock returns is approximately 19.54%.

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Answer:

The answer is 4.5 cups I hope this helps :D

Answer:

x=4

DE=33

CD=11

Step-by-step explanation:

Answer:

x=4

DE=33

CD=11

Step-by-step explanation:

think of a number that can be both for CD and DE, and when you combine them together the answer would be 44.

x=4

CD= 3(4)-1

=11

DE= 5(4)+13

=33

CD + DE = CE

11 + 33 = 44

The required radix-4 recoding table for the alternative scheme replaces\(\(x_{i+1}\) and \(x_i\)\) of the multiplier with a radix-4 digit based on the context\(\(x_{i+2}\)\), as shown in the table.

Construct the required radix-4 recoding table using the alternative recoding scheme, we need to replace the 2 bits \(\(x_{i+1}\) and \(x_i\)\) of the multiplier with a radix-4 digit using\(\(x_{i+2}\)\) as the context.

Here's an example of the recoding table:

Context (\(x_i+2\)) | Radix-4 Digit

----------------|--------------

00              | 0

01              | -2

10              | 2

11              | 4

In this table, the possible combinations of \(\(x_{i+2}\)\) are given in the context column, and the corresponding radix-4 digit replacements are provided in the Radix-4 Digit column.

Please note that the table provided is just an example, and the actual values may differ depending on the specific requirements and considerations of the recoding scheme.

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the answer to this question is -10.

==========================================================

Explanation:

We're told that \(\triangle ABC \sim \triangle DE F\) which means triangle ABC is similar to triangle DEF. The order of the letters is important as you'll see in the next two paragraphs.

AB and DE are the first two letters of ABC and DEF respectively. These two sides pair up as one corresponding pair. This forms the fraction AB/DE.

Through similar logic, we get the fraction BC/EF. We have BC and EF as the last two letters of ABC and DEF respectively. This fraction is equal to the previous fraction we set up (due to similar triangles having equal proportions).

Once again, the order of the letters matters to tell us how the sides and angles pair up together.

-----------------

In short, the key takeaway from that last section is that we can form this equation:

AB/DE = BC/EF

From here, we apply substitution and solve for x

So,

AB/DE = BC/EF

7x/7 = 4/x

7x*x = 7*4 .... cross multiplication

7x^2 = 28

x^2 = 28/7

x^2 = 4

x = sqrt(4)

x = 2

We only consider the positive square root because x is some side length. Negative x values are not allowed.

To wrap things up, use that x value to find AB

AB = 7x = 7*2 = 14

Answer:

hmm... this seems hard. Anyways I'll just do it!

The correct answer should be 7/20

Step-by-step explanation:

Answer:

13/20

Step-by-step explanation:

If 13 people out of 20 people Ben sees entering the store with jacket, then the probability for the next person to wear jacket is 13/20 which is 0.65.

Hope it helps u.

Please mark as the brainliest

Thank You

Answer:

1 and 2 go in the 2nd area and 3 gos to the 1st and 4th gos to the last one

Step-by-step explanation:

hope this helped!

P.S. can i pls have brainlyist am trying to lv up thx! ;D

Answer:

15+8+6+2=31

Step-by-step explanation:

highest no. is 15

15-7=8

31-15-8=8

middle number 8

8-6=2

CHECK: 15+8+6+2=31

i don't know if my answer is right haha

i checked online it says the answer is 5,6,8,12

Answer:

3h³ - h² - 10h

Step-by-step explanation:

(5h​³​​−8h)+(−2h​​³−h​²-2h)

= 5h³ - 8h - 2h³ - h² - 2h

= 3h³ - h² - 10h

So, the answer is  3h³ - h² - 10h

Answer:

--------------------------

Simplify the expression in below steps:

a. The population of interest in this case is the general public of the United States who have knowledge about the criminal trial and its verdict. b. It is likely that the proportion of people unhappy with the verdict in the sample is similar to the proportion of individuals unhappy with the verdict in the population.

a. The population of interest in this case is the general public of the United States who have knowledge about the criminal trial and its verdict.

b. It is likely that the proportion of people unhappy with the verdict in the sample is similar to the proportion of individuals unhappy with the verdict in the population. This is because the television news program invited viewers to go to their website and indicate their opinion, which means that only a certain segment of the population who watched that particular news program and had access to the internet were able to participate in the poll. Additionally, people who feel strongly about the verdict may be more likely to participate in the poll, leading to potential bias in the sample. Therefore, it is important to acknowledge that the poll results may not be entirely representative of the entire population and should be interpreted with caution. In order to obtain a more accurate estimate of the proportion of people unhappy with the verdict in the population, a larger, more diverse and random sample should be used.

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Answer:

1)

=6-15+7

=6-22

=-16 answer

2)

=7×40/5

=Then,7×8

=56 answer

Answer:

-32

Step-by-step explanation:

7^2 = 49

3^4 = 81

49-81=

-32

Answer:

\(\sqrt{88}\)

Step-by-step explanation:

The geometric mean of 11 and 8 is equal to \(\sqrt{88}\).

According to the question it is clear that we have to calculate the geometric mean of two positive numbers 11 and 8.

The geometric mean of two positive numbers a and c is the positive number b in such a way that it satisfies the condition

\(\frac{a}{b}=\frac{b}{c}\)

The geometric mean of a and b is √ab if a and b are both positive numbers and it will be −√ab if a and b are negative numbers.

The geometric mean is the positive square root of the product of two numbers.

For a square the geometric mean of two numbers a and b, is the length of one side of a square whose area is equal to the area of a rectangle with the sides of a and b lengths.

If we talk about the n numbers then the geometric mean is the nth root of the product of n numbers. If n positive values are given then the geometric mean is the nth positive root of the product of that n numbers.

So, the geometric mean is equal to \(\sqrt{a.b}\)

Here, a = 11 and b = 8

The geometric mean of this is equal to = \(\sqrt{11.8}\) = \(\sqrt{88}\)

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Answer:

9 if I am correct also I rounded to a whole number, am not sure

The estimated current total cost for the installed and insulated tank is $12,065.73.

The first step is to calculate the surface area of the tank. The surface area of a cylinder is calculated as follows:

surface_area = 2 * pi * r * h + 2 * pi * r^2

where:

r is the radius of the cylinder

h is the height of the cylinder

In this case, the radius of the cylinder is 1 meter (half of the diameter) and the height of the cylinder is 1 meter. So the surface area of the tank is:

surface_area = 2 * pi * 1 * 1 + 2 * pi * 1^2 = 6.283185307179586

The insulation will add a thickness of 0.05 meters to the surface area of the tank, so the total surface area of the insulated tank is:

surface_area = 6.283185307179586 + 2 * pi * 1 * 0.05 = 6.806032934459293

The cost of the insulation is $40 per square meter and the cost of labor is $95 per square meter, so the total cost of the insulation and labor is:

cost = 6.806032934459293 * (40 + 95) = $1,165.73

The original cost of the tank was $10,900, so the total cost of the insulated tank is:

cost = 10900 + 1165.73 = $12,065.73

Therefore, the estimated current total cost for the installed and insulated tank is $12,065.73.

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Answer:

y= 1/14 x +17/14

Step-by-step explanation:

Lines perpendicular to another line have an opposite reciprocal slope, meaning that the sign is changed, and the fraction is flipped. We are going to use point-slope form to solve.

\(y-y_{1} =m(x-x_{1} )\\y-1 =\frac{1}{14} (x+3 )\\y-1=\frac{1}{14}x+\frac{3}{14}\\y=\frac{1}{14}x+\frac{17}{14}\)