The 19.9 foot ladder leans against a wall from a point that 2.7 feet
away from the wall on the ground. What is the angle between the
ladder and the wall to the nearest tenth of the degree?

Answer:

The surface area of the given cylinder is 803.8 in² to the nearest tenth.

Step-by-step explanation:

The formula for the surface area of a cylinder is:

\(\boxed{SA = 2\pi r^2 + 2\pi rh}\)

where r is the radius of the circular base, and h is the height of the cylinder.

From inspection of the given diagram:

Substitute these values into the formula and solve for SA:

\(\begin{aligned}\implies SA&=2\pi r^2 + 2\pi rh\\&=2 \cdot 3.14 \cdot 8^2+2 \cdot 3.14 \cdot 8 \cdot 8\\&=2 \cdot 3.14 \cdot 64+2 \cdot 3.14 \cdot 8 \cdot 8\\&=401.92+401.92\\&=803.84\\&=803.8\; \sf in^2\;\;(nearest \; tenth)\end{aligned}\)

Therefore, the surface area of the given cylinder is 803.8 in² to the nearest tenth.

Question :-

Answer :-

\( \rule{180pt}{3pt}\)

Diagram :-

\(\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{8 \: in}}\put(9,17.5){\sf{8 \: in}}\end{picture}\)

Solution :-

As per the provided information in the given question, we have been given that the radius of the cylinder is 8 in. The height of the cylinder is 8 in. We have been asked to find or calculate the surface area of the cylinder.

To calculate the surface area of the cylinder, we will use the formula below :-

\(\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh \:\:}}\)

Substitute the given values into the above formula and solve for surface area:

\(\sf:\implies Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh\)

\(\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(8 \: in)^2 + (2)(3.14)(8\:in)(8\:in) \)

\(\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(64 \: in^2) + (2)(3.14)(64\:in^2) \)

\(\sf:\implies Surface \: Area_{(Cylinder)} = (2)(200.96 \: in^2) + (2)(200.96 \: in^2) \)

\(\sf:\implies Surface \: Area_{(Cylinder)} = 401.92 \: in^2 + 401.92 \: in^2 \)

\(\sf:\implies \bold{Surface \: Area_{(Cylinder)} = 803.84 \: in^2}\)

Therefore :-

\(\\\)

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Have a great day! <33

Answer:

9

Step-by-step explanation:

The sum of the measures of the interior angles of a 10-sided figure is 1,800°. This can be calculated using the formula S = (n-2)180°, where S is the sum of the interior angles and n is the number of sides.

In the case of a 10-sided figure, the calculation would be S = (10-2)180° = 1800°.The sum of the interior angles of a figure can be understood as the total amount of rotation necessary to trace out the entire figure. This is because each angle is the amount of rotation necessary to move to the next side. When you have traced out the entire figure, you have made a full rotation of 360°. This means that the total amount of rotation necessary to trace out the entire figure is the sum of the interior angles. In other words, the sum of the interior angles of a figure is the amount of rotation necessary to move from the first side to the last side of the figure. For a 10-sided figure, this amount of rotation is 1,800°, which is the sum of the interior angles of the figure.

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b) To find the joint density of the minimum and maximum of the U_i's, we can use the following approach:

Let M = min(U_1, U_2, U_3, U_4, U_5) and let X = max(U_1, U_2, U_3, U_4, U_5). Then we have:

P(M > m, X < x) = P(U_1 > m, U_2 > m, U_3 > m, U_4 > m, U_5 > m, U_1 < x, U_2 < x, U_3 < x, U_4 < x, U_5 < x)

Since the U_i's are independent and uniformly distributed on (0,1), we have:

P(U_i > m) = 1 - m, for 0 < m < 1

P(U_i < x) = x, for 0 < x < 1

Substituting these expressions, we get:

P(M > m, X < x) = (1 - m)^5 * x^5

Therefore, the joint density of M and X is:

f(M,X) = d^2/dm dx (1-m)^5 * x^5 = 30(1-m)^4 * x^4, for 0 < m < x < 1.

c) To find P(R > 0.5), we need to find the probability that the distance between the minimum and maximum of the U_i's is greater than 0.5. We can use the following approach:

P(R > 0.5) = 1 - P(R <= 0.5)

Now, R <= 0.5 if and only if the difference between the maximum and minimum of the U_i's is less than or equal to 0.5. Therefore, we have:

P(R <= 0.5) = P(X - M <= 0.5)

To find this probability, we can integrate the joint density of M and X over the region where X - M <= 0.5:

P(R <= 0.5) = ∫∫_{x-m<=0.5} f(M,X) dm dx

The region of integration is the triangle with vertices (0,0), (0.5,0.5), and (1,1). We can split this triangle into two regions: the rectangle with vertices (0,0), (0.5,0), (0.5,0.5), and (0,0.5), and the triangle with vertices (0.5,0.5), (1,0.5), and (1,1). Therefore, we have:

P(R <= 0.5) = ∫_{0}^{0.5} ∫_{0}^{m+0.5} 30(1-m)^4 * x^4 dx dm + ∫_{0.5}^{1} ∫_{x-0.5}^{x} 30(1-m)^4 * x^4 dm dx

Evaluating these integrals, we get:

P(R <= 0.5) ≈ 0.5798

Therefore,

P(R > 0.5) = 1 - P(R <= 0.5) ≈ 0.4202.

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Answer:

x=10

Step-by-step explanation:

20=x+(2x8)-6

20=x+16-6

20=16x-6

20=10x

x=10

Both arguments are valid.

The validity of the arguments can be determined by using the concept of propositional logic.

This argument can be represented as: (P∨D∨B)∧(D∨C∨B). The form of the argument is p ∧ q, which is a valid form.

This argument can be represented as: P∨C. The form of the argument is p ∨ q, which is also a valid form.

So, both arguments are valid. The validity of an argument depends on the form of the argument and not the specific proposition used. In both cases, the form of the argument is valid, so the argument is also valid.

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Answer:

$0.98

Step-by-step explanation:

$1.33-$0.35=$0.98.

Answer:

The answer is 0.98 cents

Step-by-step explanation:

Hope it helps!

A. The arrival rate per hour must increase to at least 10 customers per hour to justify a second telephone boothe.

B. The arrival rate per hour must increase by at least 1.6 customers per hour to justify a second telephone booth under the new criterion.

To get the how much arrival rate must increase, we must get the expected waiting time for a customer.

Assuming;

X is the number of customers who arrive per hour

Y is the length of a phone call in minutes.

Then, X follows a Poisson distribution with λ = 4 (since 4 customers per hour use the phone on average)

Y follows a negative exponential distribution with mean μ = 5 (since the mean length of a phone call is 5 minutes).

Total time is given as sum of waiting time and length of call;

T = W + Y

The waiting time W is the difference between the time a customer arrives and the time that the phone becomes available. waiting time follows a uniform distribution where mean= 1/λ (since the arrivals follow a Poisson process);

Then we have;

E(W) = 1/(2λ) = 1/8 hours

The expected total time T that a customer spends at the phone booth is:

E(T) = E(W) + E(Y) = 1/8 + 5/60 = 11/48 hours

For a second telephone booth to be justifiable, new customer that arrives must wait 3 minutes or longer for the phone.

E(W) ≥ 1/20

To get λ,

1/(2λ) ≥ 1/20

λ ≤ 10

This means that, the arrival rate per hour must increase to at least 10 customers per hour to justify a second telephone booth.

b. Getting how much the arrival rate per hour must increase to justify a second telephone booth under the new criterion,

we need to find the probability that a customer has to wait at all.

Let P(W > 0) be the probability that a customer has to wait.

P(W > 0) = 1 - P(W = 0)

The waiting time W follows a uniform distribution with mean 1/λ, so we have:

P(W = 0) = 1 - λ/4

The length of a phone call Y follows a negative exponential distribution with mean 5 minutes = 1/12 hours, so we have:

P(Y > t) = e^(-μt) = e^(-t/12)

The probability that a customer has to wait is given as;

P(W > 0) = 1 - P(W = 0) = λ/4

To justify a second telephone booth, the probability of having to wait at all must exceed 0.6. so we have;

P(W > 0) > 0.6

λ > 2.4

The arrival rate per hour must increase by at least 2.4 - 4 = 1.6 customers per hour to justify a second telephone booth under the new criterion.

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We can claim that after answering the above question, the As a result, the building's Pythagorean theorem  height is: H stands for ladder. 20 feet minus 10.9 feet

The Pythagorean theorem is a fundamental mathematical principle that describes the relationship between the sides of a right triangle. It states that the sum of the squares of the other two sides' lengths equals the square of the hypotenuse's length (the side opposite the right angle). The mathematical theorem is as follows: c2 = a2 + b2 Where "c" denotes the hypotenuse length and "a" and "b" represent the lengths of the other two sides, known as the legs.

\(h^2 + (6 feet)^2 = ladder2\)

ladder = h + 20 feet

To eliminate ladder, we can plug the second equation into the first:

\((h + 20 foot)^2 = h^2 + (6 foot)^2\\h^2 + 40h + 400 = h^2 + 36\\40h = -364\)

h = -9.1 feet

\(2 ladder = x^2 + (6 feet)^2\)

And:

\(x + 14 feet equals ladder(x + 14 foot)^2 = x^2 + (6 foot)^2\\x^2 + 28x + 196 = x^2 + 36\\28x = -160\\x = -5.7 feet\\h^2 + (6 feet)^2 = ladder^2\)

And:

H = 20-foot ladder

(20-foot ladder)

\(h^2 = H^2 + (6 feet)^2\\H^2 + 36 = ladder2 - 40ladder + 400\\H^2 + 6 feet + 40 ladder + 400 = H^2 + 36\\\)

(364 feet) / (40 feet) = 9.1 feet

As a result, the building's height is:

H stands for ladder. 20 feet minus 10.9 feet

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Answer:

ans is 11-21/10 sry I don't have calculator

The 90% confidence interval for the proportion of district residents in favor of starting the school day 15 minutes later is (0.392, 0.548). The true proportion is estimated to lie within this interval with 90% confidence.

To calculate the 90% confidence interval for the true proportion of district residents who are in favor of starting the school day 15 minutes later, we can use the following formula:

CI = p ± z*(√(p*(1-p)/n))

where:

CI: confidence interval

p: proportion of residents in favor of starting the day later

z: z- score based on the confidence level (90% in this case)

n: sample size

First, we need to calculate the sample proportion:

p = 94/200 = 0.47

Next, we need to find the z- score corresponding to the 90% confidence level. Since we want a two-tailed test, we need to find the z- score that cuts off 5% of the area in each tail of the standard normal distribution. Using a z-table, we find that the z- score is 1.645.

Substituting the values into the formula, we get:

CI = 0.47 ± 1.645*(√(0.47*(1-0.47)/200))

Simplifying this expression gives:

CI = 0.47 ± 0.078

Therefore, the 90% confidence interval for the true proportion of district residents who are in favor of starting the school day 15 minutes later is (0.392, 0.548). We can be 90% confident that the true proportion lies within this interval.

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Answer:

12

Step-by-step explanation:

because 7x2 is 12

Answer:

3n+7

Step-by-step explanation:

Let's say the variable n stands for how many recyclable bottles Natasha collected.

Enrique collected 7 more than double of what Natasha has.

SO

2n+7

We also need to include Natasha's share

(2n+7) + n

OR 3n+7

Answer:

I would call them and ask for the manager lowkey!

Step-by-step explanation:

❤❤

Answer:

Of course today

Step-by-step explanation:

The Mean is 43 and Standard Error of x is 0.7225

What is Statistics?

Statistics is the study of data collection, analysis, presentation, and interpretation. Much of the early push for the subject of statistics came from government demands for census data as well as information about a range of economic operations.

We are provided with the Sample Size (n) = 16

Mean (μ) = 43

Standard Deviation (σ) = 1.7

We need to find:

Standard Error of x

So, to calculate Standard Error of x we need to find variance first

Variance = (Standard Deviation)^2

Variance = 1.7 * 1.7 = 2.89

Standard Error = Variance / √Sample Size

Standard Error = 2.89 / √16

Standard Error = 2.89 / 4

Standard Error of x is 0.7225

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Answer:

0.23

−3.45÷(−15)=0.23

Answer:

0.23

Step-by-step explanation:

-3.45÷(-15)=0.23

The p-value in this example would be 1 - 0.99865 = 0.00135.

A p-value is a measure of how likely it is to observe a result from a statistical test, given that the null hypothesis is true. It is calculated by taking the probability of the observed result under the assumption of the null hypothesis, then subtracting this probability from 1.

Formula:

P-value = 1 - Probability(observed result | null hypothesis)

For example, if the observed result is that the mean of a sample is 5 and the null hypothesis states that the mean is 3, the p-value is calculated by taking the probability of observing a mean of 5 or greater under the assumption that the mean is 3. This probability can be calculated from a standard normal distribution table by looking up the z-score corresponding to the mean of 5 and subtracting it from the total area under the curve (which is equal to 1).

Therefore, the p-value in this example would be 1 - 0.99865 = 0.00135.

By interpreting the p-value, we can determine the likelihood that the observed result would occur given that the null hypothesis is true. In this example, the p-value of 0.00135 indicates that it is very unlikely that the mean of the sample would be 5 or greater if the true mean is 3. Therefore, we can reject the null hypothesis and conclude that the true mean is not 3.

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The following is one of the requirements for using a one-way, between-subjects Anova is the data must be measured on a continuous scale.

One of the requirements for using a one-way, between-subjects ANOVA is that the data must be measured on a continuous scale. This means that the variable being measured (such as time, weight, or temperature) should be able to take on any value within a certain range.

Another requirement for using a one-way, between-subjects ANOVA is that the data must be independent. This means that the observations for each group should not be related to one another in any way. For example, if the groups being compared are different treatment groups in a medical study, it would not be appropriate to use a one-way, between-subjects ANOVA if the patients in each group were related to one another (such as siblings or close friends).

The third requirement is that the data should be approximately normally distributed in each group. A normal distribution is a probability distribution that has a bell shape, which means that the data is symmetric and the mean, median, and mode are equal. The ANOVA assumes that the data is normally distributed and if the data is not normally distributed, the results may be unreliable. This requirement can be checked by using normality test such as Shapiro-Wilk test.

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Answer:

-2/5

Step-by-step explanation:

the distance between -1 and -3 on the y-axis is 2. 2 is the rise of your slope. two find the run, find the distance between -5 and 0. The distance is negative 2. Rise over run equals the slope so -2/5 is the answer

Answer:

68, 68, 44

x = 68

x - 24 = 44

Step-by-step explanation:

If you have a shape with three interior angles, it is a triangle. The three angles in a triangle add up to 180. Use this idea to write and solve an equation.

x + (x - 24) + 68 = 180

Combine like terms.

2x + 44 = 180

Subtract 44.

2x = 136

Divide by 2.

x = 68

So we can find x - 24

68 - 24 is 44.

The three angles are 68 (given), 68 (because x = 68), and 44 (because x-24)

The angles are 68, 68, and 44

The student ID number  could be a function because each student ID number is uniquely assigned to one student and their full name, ensuring that every input (student ID) corresponds to a single output (full name).

A function is a relation in which each element of the domain is paired with exactly one element of the range.

In this case, option A could be a function because each student has only one height and it is related to the specific student.

Option B could also be a function because each student has only one hair length and it is related to the specific student.

Option C is not a function because multiple students can have the same hair color but different ages, therefore, one element in the domain would be paired with multiple elements in the range.

Option D is also not a function because multiple students can have the same full name but different student ID numbers, therefore, one element in the domain would be paired with multiple elements in the range.

So, the possible functions are A and B.
D. The student ID number of a student in your school related to the full name of that student.

This could be a function because each student ID number is uniquely assigned to one student and their full name, ensuring that every input (student ID) corresponds to a single output (full name).

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Answer: 500/2 = 250

Step-by-step explanation:

The quotient only has to have an answer with the first digit in the hundreds place.

This means you can really use any other equation like:

13,750/25 = 550

8,775/13 = 675

Answer:

You have to convert 4 and 1/4 to 17/4. Then, the LCM of 3 and 4 is 12, so multiply 17/4 by 3/3 and 2/3 by 4/4 to get 51/12 and 8/12. Now, subtract.

51/12 - 8/12 = 43/12. That is the final answer.

If the hypotenuse of a right angle is 26 ft one leg is 10 ft, and the length of the other leg is 24 feet.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

It is given that, the hypotenuse of a right angle is 26 ft one leg is 10 ft.

We have to find the length of the other leg in feet,

To the Pythagoras theorem, the square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

h²=p²+b²

26²=10²+b²

b²=576

b=24

Thus, if the hypotenuse of a right angle is 26 ft one leg is 10 ft, and the length of the other leg is 24 feet.

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Answer: 1. Counsel.

Step-by-step explanation:

It is the most fitting option- all the other words don't fit the context of the sentence.

Answer:

128

Step-by-step explanation:

6 / 3 + 32 * 4 - 2.

We first calculate 6/3 and 32 * 4:

6 / 3 = 2

32 * 4  = 128

Our expression then becomes 2 + 128 - 2.

We can evaluate, getting 128.

Answer:

36

Step-by-step explanation:

6 ÷ 3 + 3^2 · 4 − 2

= 2 + 9 · 4 - 2

= 2 + 36 - 2

= 38 - 2

= 36

Answer:

See attached

Step-by-step explanation:

-> We can ignore everything in every option except the last line where it gives us the slopes. Then we line up the slopes with the options.

-> Use rise/run to find the slope

      [] Pick a point, count up and over until you are at the next point

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

x=32

Step-by-step explanation:

Step-by-step explanation:

the whole circle of B including the Intersection part of A and B is shaded here...

I hope the image helps you understand better

The value of the numerical expression (7 x 3481) will be 24,367.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The numbers are given below.

7 and 3481

Then the product of the numbers 7 and 3481 will be given by putting a cross sign between them. Then we have

⇒ 7 x 3481

⇒ 24,367

The value of the numerical expression (7 x 3481) will be 24,367.

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