A 13-foot ladder is leaning against a building, with the base of the ladder 3 feet from the building. How high up on the building
will the top of the ladder reach? Round to the nearest tenth. (1 point)
O 11.2 feet
O 12.6 feet
O 13.3 feet
O 10 feet

Answer: 96 played one sport only.

Step-by-step explanation:

To find out how many played one sport only, we can use the principle of inclusion-exclusion.

Let S be the total number of sports men surveyed. Then, we have:

S = number who played soccer + number who played volleyball + number who played basketball - number who played soccer and volleyball - number who played soccer and basketball - number who played volleyball and basketball + number who played all three sports

Substituting the given values, we get:

S = 64 + 94 + 58 - 28 - 26 - 22 + 14

S = 154

Therefore, there were 154 sports men surveyed in total.

Now, let x be the number of sports men who played one sport only. Then, we have:

x = number who played soccer only + number who played volleyball only + number who played basketball only

Substituting the given values and using the principle of inclusion-exclusion, we get:

x = (64 - 28 - 26 + 14) + (94 - 28 - 22 + 14) + (58 - 26 - 22 + 14)

x = 22 + 58 + 24

x = 104

Therefore, there were 104 sports men who played one sport only.

Note that this includes those who did not play any of the three sports. To find out how many played at least one sport, we can subtract the number who did not play any sport from the total number surveyed:

number who played at least one sport = total number surveyed - number who did not play any sport

number who played at least one sport = 154 - (S - x)

number who played at least one sport = 154 - (154 - 14)

number who played at least one sport = 14

Therefore, there were 14 sports men who did not play any of the three sports.

Finally, to find out how many played one sport only, excluding those who did not play any sport, we can subtract 14 from 104:

number who played one sport only, excluding those who did not play any sport = 104 - 14

number who played one sport only, excluding those who did not play any sport = 90

Therefore, there were 90 sports men who played one sport only, excluding those who did not play any sport.

Answer:

A Dramatic change in appearance or form

Step-by-step explanation:

Answer:

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system. Mathematical transformations describe how two-dimensional figures move around a plane or coordinate system. A preimage or inverse image is the two-dimensional shape before any transformation.

When Kp = 1.00 at 300K, for X(g) + Y(g) <==> Z(g), where [X] = [Y] = [Z] = 1.0 M, the reaction is in equilibrium.

Therefore the answer is c)  reaction is at equilibrium.

Given the equilibrium constant Kp = 1.00 at 300K, this means that the reaction is already at equilibrium. Therefore, the net reaction will not proceed in any direction. The concentration of all the species X, Y, and Z in the reaction mixture will remain constant. So the answer is [c] reaction is at equilibrium.

It's important to note that the equilibrium constant Kp is the product of the concentration of the products raised to their stoichiometric coefficients divided by the product of the concentration of the reactants raised to their stoichiometric coefficients.

When Kp = 1, it means that the product of the concentrations of the products raised to their stoichiometric coefficients is equal to the product of the concentrations of the reactants raised to their stoichiometric coefficients. Therefore, the reaction is at equilibrium.

--The question is incomplete, answering to the question below--

"In which direction will the net reaction proceed.

X(g) + Y(g) <==> Z(g) … Kp = 1.00 at 300k

for each of these sets of initial conditions?

A) [X] = [Y] = [Z] = 1.0 M

[a] net reaction goes to the left [this one?]

[b] net reaction goes to the right

[c] reaction is at equilibrium"

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The inequality of the given graph is written as: y ≥ x + 4.

To write the inequality of any given graph, determine the following:

The line given in the graph is a solid line and the shaded region is above it, therefore, the inequality sign to use is, ≥.

Slope (m) = rise/run = 2/2 = 1

y-intercept (b) = 4

To write the inequality, substitute m = 1 and b = 4 into y ≥ mx + b:

y ≥ x + 4

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Answer:

100/5. (fraction)

Simplified it is 50

Answer:

The probability is 1/3

Step-by-step explanation:

At any point in time, the probability that a coin lands on head = 1/2 given that the coin is fair

Rolling a number less than 5;

The numbers are 1,2,3 and 4

The probability of rolling a number less than 5 is 4/6

So we proceed to

multiply both probabilities to get the answer to the question,

we have this as;

4/6 * 1/2 = 2/6 = 1/3

since the population standard deviations (σ1 and σ2) are not provided, we cannot calculate the exact test statistic Z.

To test the null hypothesis H0: (μ1 - μ2) = 0 versus the alternative hypothesis Ha: (μ1 - μ2) ≠ 0, we can use a two-sample z-test. The test statistic is calculated as:

Z = (x bar1 - x bar2) / sqrt((σ1^2 / n1) + (σ2^2 / n2))

Where:
X bar1 and x bar2 are the sample means of the two groups,
σ1 and σ2 are the population standard deviations of the two groups,
n1 and n2 are the sample sizes of the two groups.

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Answer:

side

Step-by-step explanation:

Answer:

The answer is 81m + 27t hope it was helpful

\(\stackrel{ \textit{scale of both radii} }{\stackrel{M}{3}~~ : ~~\stackrel{N}{1}\implies \cfrac{M}{N}=\cfrac{3}{1}}\qquad \textit{M has a radius 3 times larger than N's}\)

since M has a diameter of 12, that means its radius is half that, or 6. and since N is three times smaller, then its radius is 2 and its diameter is twice that or 4.

\(\stackrel{ \textit{\LARGE M} }{\textit{circumference of a circle}}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=6 \end{cases}\implies C=2\pi (6)\implies C=12\pi \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE N} }{\textit{area of a circle}}\\\\ A=\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=2 \end{cases}\implies A=\pi (2)^2\implies A=4\pi\)

In hypothesis testing, the alternative hypothesis is the statement that researchers are trying to evaluate. It is the opposite of the null hypothesis.

What is the alternative hypothesis?

In hypothesis testing, an alternative hypothesis is a statement that is used to determine if there is a statistically significant difference between two sample populations or data sets. It is used to compare the statistical significance of two groups.The alternative hypothesis typically states that there is a difference between the two groups being compared.

For example, a researcher may wish to know if a new drug is more effective than a placebo in treating a specific condition. In this case, the alternative hypothesis would be that the drug is more effective than the placebo.

In hypothesis testing, the null hypothesis and alternative hypothesis are used to determine if there is a statistically significant difference between two groups.

The null hypothesis is the statement that there is no difference between the two groups being compared. The alternative hypothesis is the statement that there is a difference between the two groups being compared.

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Answer:

In hypothesis testing, the alternative hypothesis is a statement that contradicts the null hypothesis. It represents the researcher's belief or suspicion that there is a significant effect, relationship, or difference between groups or variables being studied. The alternative hypothesis is denoted as "H1" or "Ha" and is the hypothesis researchers are trying to gather evidence in favor of, by conducting statistical analysis and evaluating the data.

Step-by-step explanation:

In hypothesis testing, we aim to make informed conclusions about a population based on a sample of data. The process involves two competing hypotheses: the null hypothesis (H0) and the alternative hypothesis (Ha).

The null hypothesis states that there is no significant effect, relationship, or difference between groups or variables in the population. It's often considered the default assumption until evidence suggests otherwise. The alternative hypothesis, on the other hand, proposes that there is a significant effect, relationship, or difference in the population.

In simpler terms, think of it like this:

Researchers collect and analyze data to determine whether there's enough evidence to reject the null hypothesis in favor of the alternative hypothesis. If the data strongly supports the alternative hypothesis, we might conclude that there is a significant effect or difference. If the data doesn't provide enough evidence, we might fail to reject the null hypothesis.

So, the alternative hypothesis is essentially the idea that researchers are trying to prove by conducting their analysis and experiments.

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Answer:

3/2 + t - 5

Step-by-step explanation:

1/2(3+4t-10)

Open brackets

3/2 + 4t/2 - 10/2

3/2 + t - 5

I hope this helps:)

Answer:

2t+-7/2

Step-by-step explanation:

1

2

(3+4t−10)

=(

1

2

)(3+4t+−10)

=(

1

2

)(3)+(

1

2

)(4t)+(

1

2

)(−10)

=

3

2

+2t−5

To solve the equation -5(x+4)+3x+5=8x+6, we simplify the equation and solve for x. The solution is x = -1.

In the given equation, when we substitute x = -1, both sides of the equation will be equal, confirming the validity of the solution.

Let's solve the equation step by step.

Starting with the given equation: -5(x+4) + 3x + 5 = 8x + 6.

First, we simplify the equation by applying the distributive property. Multiplying -5 by each term inside the parentheses, we get: -5x - 20 + 3x + 5 = 8x + 6.

Next, we combine like terms on both sides of the equation. On the left side, we have -5x + 3x, which simplifies to -2x. On the right side, we have 8x. The equation becomes: -2x - 20 + 5 = 8x + 6.

Further simplifying, we combine the constants on both sides: -2x - 15 = 8x + 6.

To isolate the variable, we bring all terms with x to one side by subtracting 8x from both sides: -2x - 8x - 15 = 8x - 8x + 6.

This simplifies to -10x - 15 = 6.

To solve for x, we add 15 to both sides: -10x - 15 + 15 = 6 + 15.

This simplifies to -10x = 21.

Finally, we divide both sides by -10 to find the value of x: (-10x) / -10 = 21 / -10.

The negative signs cancel out, and we get x = -21/10, which can be simplified to x = -1.

To check the solution, we substitute x = -1 back into the original equation:

-5(-1 + 4) + 3(-1) + 5 = 8(-1) + 6.

Simplifying each side, we get: -5(3) - 3 + 5 = -8 + 6.

Further simplification gives: -15 - 3 + 5 = -8 + 6.

Continuing to simplify: -13 + 5 = -2.

Finally, -8 = -8.

Since both sides of the equation are equal, we can conclude that x = -1 is the correct solution.

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Answer: 28830

3100% of 930 is 28830

Step-by-step explanation: Hope this helps!! :)))

Answer:

33

Step-by-step explanation:

33 appears most.

Answer:

A=700

Explaination:

A=2(wl+hl+hw)=2·(12·7+14·7+14·12)=700

the answer is

2341 square units

Answer:

B, the answer to your question is 2341 square units

Step-by-step explanation:

26.6*(22*8)= 176*4861.6

4861.6/2 is = to 2341 your answer

(a) Using induction, we prove 3(2+1+5n) > 21 for every positive integer n.

(b) Inductively, we show k-1(k+1) = n for n ≥ 1.

(c) By induction, we prove Gₙ is a tree on n + 1 vertices for every positive integer n.



(a) Base case: For n = 1, we have 3(2+1+5) = 3(8) = 24, which is greater than 21.

Inductive step: Assume that 3(2+1+5n) > 21 for some arbitrary positive integer n. We need to show that 3(2+1+5(n+1)) > 21.

Starting with 3(2+1+5(n+1)):

= 3(2+1+5n+5)

= 3(8+5n)

= 24 + 15n

Since we assumed 3(2+1+5n) > 21, we have 24 + 15n > 21.

Therefore, by the principle of mathematical induction, 3(2+1+5n) > 21 for every positive integer n.

(b) Base case: For k = 1, we have 1-1(1+1) = 0, which is equal to n.

Inductive step: Assume that k-1(k+1) = n for some arbitrary n ≥ 1. We need to show that (k+1)-1((k+1)+1) = n+1.

Starting with (k+1)-1((k+1)+1):= (k+1)-1(k+2)

= (k+1)-k-2

= 1-2

= -1

Since n is a positive integer, n+1 will always be greater than 0.

Therefore, by the principle of mathematical induction, k-1(k+1) = n for every n ≥ 1.

(c) Base case: For n = 0, G₀ consists of a single vertex, which is a tree on 0 + 1 = 1 vertex.

Inductive step: Assume that Gₖ is a tree on k + 1 vertices for some arbitrary positive integer k. We need to show that Gₖ₊₁ is a tree on (k+1) + 1 = k+2 vertices.

In each step, we add a vertex n and connect it to k edges. Since Gₖ is a tree, it has k + 1 vertices and k edges, satisfying the definition of a tree. Adding one more vertex and k more edges in Gₖ₊₁ preserves the acyclic property of the graph.

Therefore, by the principle of mathematical induction, Gₙ is a tree on n + 1 vertices for every positive integer n, regardless of the number k chosen in each step.

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For the points A(-4,10) and B(6), the calculations are as follows: Slope = 2, Midpoint = (1,5), Distance = 10√2. For the points F(-1,3) and G(9,-3), the calculations are as follows: Slope = -1, Midpoint = (4,0), Distance = 10√2. Regarding the points R(-5,8) and T(3,14), the midpoint of RT is (-1,11).

1. For the points A(-4,10) and B(6):

  - Slope: The formula for slope is (y₂ - y₁) / (x₂ - x₁). Plugging in the values, we get (10 - 6) / (6 - (-4)) = 4 / 10 = 2.

  - Midpoint: The midpoint formula is ((x₁ + x₂) / 2, (y₁ + y₂) / 2). Substituting the values, we have ((-4 + 6) / 2, (10 + 6) / 2) = (1, 5).

  - Distance: The distance formula is √[(x₂ - x₁)² + (y₂ - y₁)²]. Plugging in the values, we get \(\sqrt{(6 - (-4)^{2} + (10 - 10)^{2} } =10\sqrt{2}\).

2. For the points F(-1,3) and G(9,-3):

  - Slope: Using the slope formula, we get (-3 - 3) / (9 - (-1)) = -6 / 10 = -1.

  - Midpoint: Applying the midpoint formula, we get ((-1 + 9) / 2, (3 + (-3)) / 2) = (4, 0).

  - Distance: Using the distance formula, we get √[(9 - (-1))² + (-3 - 3)²] = √(10²) = 10√2.

3. For the points R(-5,8) and T(3,14):

  - Midpoint: The midpoint formula gives us ((-5 + 3) / 2, (8 + 14) / 2) = (-1, 11).

Thus, the midpoint of RT is (-1, 11).

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Answer:

283.3%

Step-by-step explanation:

5/6 equals 0.83 repeating and it already has 200% for the whole number 2

Answer: (5,3)

Step-by-step explanation:

A 180 degree rotation will take you to sector b which is (+,+), so I knew it was going to be positive.

If the builder does not build houses with three-car or more garages, then the probability that the buyer will select no garage home is 0.1.

Probability is a measure of likelihood that a certain event occurs. The probability of an event A is defined as:

P(A) = n(A)/n(S)

Where:

n(A) = number of ways the event A can occur

n(S) = number of all possible outcomes.

Suppose there are 3 possible outcomes, A, B, C, then:

P(S) = P(A) + P(B) + P(C) = 1

In the problem, let's define the events:

A = buyer will select a one-car garage

B = buyer will select a two-car garage

C = buyer will select no car garage

We have:

P(A) = 0.2

P(B) = 0.7

Hence,

P(A) + P(B) + P(C) = 1

0.2 + 0.7 + P(C) = 1

P(C)  = 1 - 0.9 = 0.1

Therefore, the probability that the customer will choose no garage option is 0.1

Your question is incomplete, most likely it was:

In building new homes, a contractor finds that the probability of a home buyer selecting a two-car garage is 0.7 and of selecting a one-car garage is 0.2. Find the probability that the buyer will select no garage. the builder does not build houses with three-car or more garages

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Answer:

\(X=12.125\%\)

Step-by-step explanation:

From the question we are told that:

Cost Price \(CP=734\)

Sale Price \(SP=823\)

Generally the equation for Profit  P is mathematically given by

 \(Profit=SP-CP\)

 \(P=823-734\)

 \(P=89\)

Therefore as a percentage

Percentage Profit X is given as

 \(X=\frac{89}{734}*100\)

\(X=12.125\%\)

The measure of side LJ would be 88 + 11 = 99. Round to the nearest tenth, LJ is 99.0.

To find the measure of side LJ, we need to use the concept of similarity between triangles.

If two triangles are similar, then the ratio of their corresponding side lengths is equal.

In this case, triangle GHI is similar to triangle JKL.

Let's assume the measure of side GH is x.

Then, the measure of side GI would be 8x and the measure of side HI would be 41x.

The measure of side JK would be x and the measure of side KL would be 8x.

By using the ratios of the side lengths,

we can set up an equation:

x/8x = JK/KL

Solving for x, we get x = 11. So, the measure of side KL is

8x = 8 * 11 = 88

The measure of side LJ would be 88 + 11 = 99. Round to the nearest tenth, LJ is 99.0.

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Answer:

B) f^-1(x)=3-5x

Step-by-step explanation:

y=3-x/5

rearrange the equation so you have x variable on the left side

5y=3-x

+x     +x

5y+x=3

-5y      -5y

x=3-5y

so answer is b)

f^-1(x)=3-5x

P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.

The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.

To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!

Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.

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(i) The null hypothesis is that the mean living area of all single-family homes in the county is equal to or less than 2400 square feet. The alternative hypothesis is that the mean living area of all single-family homes in the county is greater than 2400 square feet.

(ii) The test statistic is calculated using the formula: (sample mean - hypothesized mean) / (standard deviation / square root of sample size). In this case, the test statistic is \(\frac{(2540 - 2400)}{\frac{472}{\sqrt{50} } } =2.44\)

(iii) The p-value is the probability of obtaining a sample mean as extreme or more extreme than the one observed, assuming the null hypothesis is true. Using a t-distribution with 49 degrees of freedom (since we are using a sample size of 50 and estimating the population standard deviation), we can find the p-value to be 0.009.

(iv) Using a significance level of 0.05, we can conclude that the real estate agent's claim is not true, since the p-value is less than 0.05. We reject the null hypothesis and accept the alternative hypothesis that the mean living area of all single-family homes in the county is greater than 2400 square feet. If we use a significance level of 0.01 instead, we still reject the null hypothesis since the p-value is less than 0.01.

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