A square piece of paper 10 cm on a side is rolled to form the lateral surface area of a right circulare cylinder and then a top and bottom are added. What is the surface area of the cylinder? Round your final answer to the nearest hundredth if needed. 13) 6+ А Triangle ABC is going to be translated.

Answer:

l = 14 , w = 12

Step-by-step explanation:

2l + 2w = 52 → (1)

l - w = 2 → (2)

multiplying (2) by 2 and adding to (1) will eliminate the w- term

2l - 2w = 4 → (3)

add (1) and (3) term by term to eliminate w

4l + 0 = 56

4l = 56 ( divide both sides by 4 )

l = 14

substitute l  14 into either of the 2 equations and solve for w

substituting into (1)

2(14) + 2w = 52

28 + 2w = 52 ( subtract 28 from both sides )

2w = 24 ( divide both sides by 2 )

w = 12

Answer:

yes and no....It depends if u got the answer correct then u got ur mark but if the teacher expects your answer a certain way then u might lose maybe just 1 mark but dont stress it looks good and u should get full marks

The probability that Alysha will win the bet is 0.12013

Let ‘x’ be the number of cute boys from next 20 persons that enter the library

And assume x be the integral values from 0 to 20

Given, the probability is 50% that the next person that enters the library is a cute boy,

total number of trials n=20 and probability of success p=50% = 0.5 = 1/2.

Hence, the p.m.f of X is given by

fX(x) = 20Cx(1/2)x(1−1/2)20−x

=20Cx(1/2)x(1/2)20−x

=20Cx(1/2)20

=20!(20−x)!x!⋅ 1220

=0,1,2,…,19,20

and the probability that X=x,

thus

P(X=x)=20!(20−x)!x!⋅1220

x=0,1,2,…,19,20

P(X=x)=20!(20−x)!x!⋅1220

x=0,1,2,…,19,20.

In particular, for X=x=12

P(X=12)=20!(20−12)!12!⋅1220

=20!8!12!⋅1220

≈0.12013

Hence, the probability that exactly 12 persons of the next 20 persons that walk into the library are cute boys is only approximately 0.12013.

Therefore, 0.1203 is less than 0.5, then it is more probable that Alysha will lose the bet than win it.

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The slope of the curve at the point (1, -1) is -23/33.

To find the slope of the tangent line to the curve at the point (1, -1), we need to find the derivative of the curve at that point.

Taking the partial derivative of the given equation with respect to x, we get:

40x₄ + 7y + 7xy'

Taking the partial derivative of the given equation with respect to y, we get:

7x - 30y⁵ - 7x²y'

To find the slope of the tangent line at (1, -1), we need to evaluate the derivative at that point. So we substitute x = 1 and y = -1 in the above equations:

40(1)⁴ + 7(-1) + 7(1)y' = 33 + 7y' (1)

7(1) - 30(-1)⁵ - 7(1)^2y' = 37 - 7y' (2)

Adding equations (1) and (2), we get:

70y' = 70

y' = 1

So the slope of the tangent line to the curve at the point (1, -1) is 1.

To find the slope of the curve at the point (1, -1), we need to find the derivative of the curve with respect to x and y and then divide them. So, taking the partial derivative of the given equation with respect to x, we get:

40x⁴ + 7y + 7xy'

And taking the partial derivative of the given equation with respect to y, we get:

7x - 30y⁵ - 7x^2y'

Dividing these two equations, we get:

y' = (30y⁵ - 7x)/(40x⁴ + 7y)

Substituting x = 1 and y = -1, we get:

y' = (30(-1)⁵ - 7(1))/(40(1)⁴ + 7(-1)) = -23/33

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David is completing a Rorschach test, which is a type of projective psychological assessment. The test consists of a series of inkblots presented to the participant, and their responses are analyzed by the researcher to gain insights into their personality, thought processes, and emotional functioning.

The Rorschach test is a widely used tool in clinical psychology and has been subject to much controversy and debate over its validity and usefulness in assessment.

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The standard deviation is 4.95.

The standard deviation is the average amount of variability in your dataset. It tells you, on average, how far each value lies from the mean.

A high standard deviation means that values are generally far from the mean, while a low standard deviation indicates that values are clustered close to the mean. The standard deviation and the mean together can tell you where most of the values in your frequency distribution lie if they follow a normal distribution.

Dataset: 1,2,4,7,8

So, n = 5 (because the sample size is 5)

We calculate the mean X by taking the average of the data values, which is dividing the sum of the data values by the number of data values:

X = 1+2+4+7+8/5

X=22/5 = 4.4

So, the average is 4.4

For standard deviation calculation,

$ = \({\sqrt{(x-X)^2/n-1} }\)

Thus, the standard deviation is 4.95.

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The marginal frequencies of chocolate and strawberry are 0.75 and 0.25 and chocolate is greater by 0.5

Marginal frequency is the ratio between either a column total or a row total and the total sample size.

For example, in a table of students classified by sex and area of study, the number of female students, regardless of area of study, would be one marginal frequency.

The marginal frequency of chocolate is calculated as;

The total frequency of chocolate = 30+45 = 75

The grand frequency = 75+25 = 100

marginal frequency of chocolate = 75/100

= 0.75

The marginal frequency of strawberry = 25/100

= 0.25

The difference in the marginal frequencies of chocolate and strawberry = 0.75 - 0.25 = 0.50

Therefore the marginal frequency of chocolate is greater than strawberry by 0.5

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Answer:

-5x + 13xy -7

Step-by-step explanation:

trinomial means 3 terms

degree 2 means the highest power  of the variables when added together is 2

constant -7 means  the constant is -7

-5x + 13xy -7

3 terms

xy = degree 2

-7 is the constant

Hi, I'm cookie monster:

A trinomial is an expression with 3 terms, so we can eliminate choice C and D right away. A degree is the highest exponent in the expression and there isn't even an exponent of 2 in choice B. So, Choice A is corrrect.

Now, I better eat some more cookies before I eat my computer.

Step-by-step explanation:

-3p+6p is 3p

-3 + 6 = 3

So when you simplify the equation you get 3p

The probability that the sample mean exceeds 30 mpg is approximately 0.0228 or 2.28%.

To find the probability that the sample mean exceeds 30 mpg, we'll need to use the average, standard deviation, and sample size.

The average mileage rating is 28 mpg, the standard deviation is 8 mpg, and the sample size is 64 cars.

Step 1: Calculate the standard error.
Standard error = (Standard deviation) / sqrt(Sample size)
Standard error = 8 / sqrt(64) = 8 / 8 = 1

Step 2: Calculate the z-score.
Z-score = (Sample mean - Population mean) / Standard error
Z-score = (30 - 28) / 1 = 2

Step 3: Use the z-score to find the probability.
The z-score of 2 indicates that the sample mean is 2 standard errors above the population mean. To find the probability, we can use a standard normal distribution table or calculator. For a z-score of 2, the probability that a value is less than or equal to 2 is approximately 0.9772.

Since we're looking for the probability that the sample mean exceeds 30 mpg, we need to find the area to the right of the z-score.
Probability = 1 - 0.9772 = 0.0228

Your answer: The probability that the sample mean exceeds 30 mpg is approximately 0.0228 or 2.28%.

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Answer:

20

Step-by-step explanation:

A, B, C, D, E is a set of 5 letters.

A letter can only be used once.

You have 5 choices for the first letter.

5

Since the letter that was selected to go first cannot be used again, now you have 4 choices for the second letter.

5 × 4

5 × 4 = 20

Answer: 20

Answer:

I think.............

Step-by-step explanation:

75

Answer:

75%

Step-by-step explanation:

75 percent × 9000  

(75 ÷ 100)* 9000  

(75 × 9000):100  

675000:100 = 6750

= 6750

Therefore 6,750 is 75% of 9,000

Hope this helps

Answer:

29.5

Step-by-step explanation:

I took the test and this is what he correct answer is!!

Hope it helps!!

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2-19-21

To determine Bob's expected utility for each option, we calculate the utility for each outcome and weigh them by their respective probabilities.

Option A:

Expected utility = 0.5v(316 - 30) + 0.5v(4 - 0)

= 0.5v(48) + 0.5v(4) = 0.548 + 0.54 = 26.

Option B: Expected utility = v(8) = 8.  

Bob would choose Option A as it has a higher expected utility.

ii. Option A: Expected utility = 0.5v(-16) + 0.5v(-4) = 0.5*(-32) + 0.5*(-8)

= -20.

Option B: Expected utility = v(-12) = -24. Bob would choose Option B as it has a higher expected utility.

iii. Option A: Expected utility = 0.5v(8) + 0.5v(-4) = 0.58 + 0.5(-8) = 0. Option B: Expected utility = v(1) = 1.  Bob would choose Option B as it has a higher expected utility.

 (b) If Bob buys the hammer for $2, his utility would be v(-2) = -4. If he does not buy the hammer, his utility would be v(0) = 0. Bob would prefer not to buy the hammer since the utility is higher at 0.

(c) If Bob sells the hammer for $2, his utility would be v(2) = 2. If he does not sell the hammer, his utility would be v(0) = 0. Bob would prefer to sell the hammer since the utility is higher at 2. (d) Bob's buying price is not the same as his selling price.

This concept is known as loss aversion, where individuals tend to value losses more than equivalent gains. One study that demonstrates a similar concept is the "Prospect Theory" by Daniel Kahneman and Amos Tversky, which shows how people's decision-making is influenced by the potential for gains and losses and how they weigh them differently.

The study revealed that individuals are generally more averse to losses and are willing to take greater risks to avoid losses compared to the risks they are willing to take for potential gains of equal value.

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Given:

The above series is an arithemetic series.

The first term of the series is: a=2

The second term of the series is: b=10

The common difference of the series is,

The expression to calculate the n th term of the series is,

Substitute n=13 in the above expression to calculate the 13 th term.

Thus, the 13th term of the sequence is 98.

Answer:

b. $9.96

Step-by-step explanation:

To solve this problem, let's first calculate how much Nina charges for shipping per painting. We'll divide the total shipping cost by the number of paintings sold.

When Nina sells 4 paintings and charges a total of $9.96 for shipping:

Shipping cost per painting = $9.96 / 4 = $2.49

When Nina sells 8 paintings and charges a total of $19.92 for shipping:

Shipping cost per painting = $19.92 / 8 = $2.49

We can see that regardless of the number of paintings sold, Nina charges $2.49 for shipping per painting.

Now let's calculate how much Nina charges for shipping 20 paintings and 16 paintings:

Shipping cost for 20 paintings = $2.49 * 20 = $49.80

Shipping cost for 16 paintings = $2.49 * 16 = $39.84

The difference in shipping charges for 20 paintings and 16 paintings is:

$49.80 - $39.84 = $9.96

Therefore, Nina charges $9.96 more for shipping 20 paintings than for shipping 16 paintings. The correct option is (b) $9.96.

Answer:

Avoid histograms with small bin widths that group data into lots of bins. A histogram constructed with small bin widths will show the distribution as a “pancake.” so no it does not help us see the pattern in the data.

Step-by-step explanation:

Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

A number's  root is that factor of the number that, when multiplied by itself, yields the original number. Specifically, squares and square roots are exponents. Think of the number nine. This can be expressed as  or as 3 x 3.

Here,

If an equation have 2 roots , it means it is a quadratic function

If D=0, a quadratic function has two roots that are equal.

D (discriminant) = 0

=>b24ac=0 is required for a polynomial function to have equal roots.

Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

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Answer:

yes, event A and B independent

Step-by-step explanation:

given data

P(A) = 0.25

P(B) = 0.60

P(A and B) = 0.15

solution

we know here P(A and B) = 0.15

so we know here for independent

P(A and B) is =  P(A) × P(B)     .......................1

so we take here R.H.S here in equation 1 and put here value

P(A) × P(B)

P(A) × P(B) = 0.25 × 0.60

P(A) × P(B) = 0.15

so it is equal to L.H.S = R.H.S

so, we can say that A and B are independent

I am a teacher for all subjects so the answer is 201 m

The formula relating I and P is I = kP

a) When P= $800, then I = $48

b) When I = $72, then P = $1200

If the interest $I on a loan of $P for a year at a rate of 6% varies directly as the loan, we can write:

I = kP

where k is a constant of proportionality. To find the value of k, we can use the given information that the interest rate is 6%, or 0.06 as a decimal. We know that when P = 100, the interest I = 0.06 × 100 = 6. Therefore:

I/P = 6/100 = 0.06 = k

Now we can use this value of k to answer the given questions,

a) When P = 800, the formula relating I and P is:

I = kP

I = 0.06 × 800

I = 48

Therefore, the interest on a loan of $800 for a year at a rate of 6% is $48.

b) When I = 72, the formula relating I and P is:

I = kP

72 = 0.06P

Solving for P:

P = 72/0.06

P = 1200

Therefore, a loan of $1200 for a year at a rate of 6% would have an interest of $72.

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The type of loan that Brady most likely getting  is option (a) conventional loan

Conventional loans are typically not guaranteed or insured by the government and often require a higher down payment compared to government-backed loans such as FHA or VA loans. The down payment requirement of $5,250, which is 3.5% of the purchase price, is lower than the typical down payment requirement for a conventional loan, which is usually around 5% to 20% of the purchase price.

ARM (Adjustable Rate Mortgage) loans have interest rates that can change over time, which can make them riskier for borrowers. FHA (Federal Housing Administration) loans are government-backed loans that typically require a lower down payment than conventional loans, but they also require mortgage insurance premiums.

VA (Veterans Affairs) loans are available only to veterans and offer favorable terms such as no down payment requirement, but not everyone is eligible for them. Fixed-rate loans have a fixed interest rate for the life of the loan, but the down payment amount does not indicate the loan type.

Therefore, the correct option is (a) Conventional loan

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Prior to placing an order to buy ABCD stock at a lower price, the investment adviser must conduct thorough research and analysis, set a target price, and determine an appropriate entry point for the purchase.

The investment adviser's primary responsibility is to act in the best interest of their client and make informed investment decisions. In this case, where the adviser believes ABCD stock is appropriate only if the price falls to $35 per share, several steps need to be taken before placing an order.

Firstly, the adviser should conduct comprehensive research on ABCD stock to understand its historical performance, financial health, industry trends, and any relevant news or events that might impact its future prospects. This research will help validate the adviser's belief that the stock is worth considering at a lower price.

Secondly, the adviser should establish a target price of $35 per share based on their analysis and the client's investment objectives. This target price serves as a reference point and provides a clear criterion for initiating the purchase.

Lastly, the adviser needs to identify an appropriate entry point for the purchase. This involves monitoring the stock's price movements and market conditions closely. The adviser may choose to set a limit order at $35 per share or implement a strategy to take advantage of potential price declines, such as dollar-cost averaging.

By following these steps, the investment adviser ensures that they have thoroughly evaluated the investment opportunity and have a plan in place before placing an order to buy ABCD stock for the client's account.

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1. The error is instead of adding 9 on both sides, it will subtract 9 from both sides.

The value x is 11.

2. 5 is not multiplied by 7.

The value of x is 55

What is an equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

Given equation is

2x + 9 = 31

Subtract 9 from both sides:

2x + 9 - 9 = 31 - 9

2x = 22

Divide both sides by 2:

x = 22/2

x = 11

Given equation is

(x/5) - 7 = 4

Multiply 5 on both sides:

5(x/5 - 7) = 5 × 4

x - 35 =20

Add 35 on both sides:

x - 35 + 35 = 20 + 35

x = 55

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Answer:

$15 1/10

Step-by-step explanation:

Given that :

Total amount to spend = $30

Amount spent on Gift A = $9 1/4

Amount spent on Gift B = $5 4/5

Amount left to spend on gift C ;

$30 - (9 1/4 + 5 4/5)

$30 - (37/4 + 29/5)

$30 - (185 + 116)/20

$30 - 298/20

30/1 - 298/20

$(600 - 298) / 20

$302/20

$15 2/20

= $15 1/10

Answer:

5 for both.

Step-by-step explanation:

Multiplying exponents rule with like bases;

Add powers with like bases.

So, if we look at x to the power of the blank multiplied by x to the power of 5, we know that 5 added to that unknown/blank power would equal in 10(using the multiplication of exponents rule), because in the results it says x^10.

Thus,

x to the power of __       ·       x to the power of 5 = x to the power of 10

And, 5 would make a solution for the blank, because;

x to the power of 5      ·       x to the power of 5 = x to the power of 10, which is true because their exponents added together would be 10 → (5 + 5).

Now, if we look at y to the power of 3 multiplied by y to the power of the blank, we know that 3 added to the unknown/blank power would equal in 8(using the multiplication of exponents rule) because in the results says y^8.

Thus,

y to the power of 3       ·       y to the power of __ = y to the power of 8

And, 5 would make a solution for the blank, because;

y to the power of 3       ·       y to the power of 5 = y to the power of 8,  which is true because their exponents added together would be 8 → (3 + 5).

Overall you're basically just multiplying all those exponents together.

Answer

Opinion D

The answer is 4/8

Step-by-step explanation:

because

1/8 + 3/8 = 4/8

Answer:

its D im preety sure

Step-by-step explanation:

srry if im wrong

Answer:

i would help you wih this problem but i dont understand what its asking because there is no graph .

Step-by-step explanation: