Calculate the lenght of the shadow cast on level groundby a radio mast 90m high when the elevationof the sun is 40degree

A is an n x n diagonal matrix with rank r , where rsn  and the statement (a)"O is an eigenvalue with algebraic muitiplicity n-r "  about A is true

Since A is an n x n diagonal matrix with rank r, the number of non-zero entries on the diagonal is r. This means that there are n - r zero entries on the diagonal.

For any diagonal matrix, the eigenvalues are simply the entries on the diagonal. Since there are n - r zero entries, the eigenvalue O has a geometric multiplicity of n - r.

Therefore, the correct statement is that O is an eigenvalue with geometric multiplicity n - r.

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Increasing the number of scores in the samples for an independent-measures t-statistic has the effect of increasing the likelihood of rejecting the null hypothesis while having little or no effect on measures of effect size.

As the sample-size increases, the t-statistic becomes more robust and accurate, which leads to a more precise estimate of the population parameter. This increased precision reduces the variability in t-statistic, which makes it easier to detect small differences between the means of the independent groups.

With a larger sample size, the t-statistic's sampling distribution approaches a normal-distribution, allowing for more reliable statistical inference. This results in a narrower confidence interval and a smaller p-value, increasing the likelihood of rejecting the null hypothesis when there is a true difference between the groups.

Therefore, increasing number of scores in samples enhances power of independent-measures t-statistic.

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Answer:

-1.1

Step-by-step explanation:

3.1 - 1.3 = t + 2.9

t = 3.1 - 1.3 - 2.9

t = -1.1

Answer:

t = -1.1

Step-by-step explanation:

\(3.1 - 1.3 = t + 2.9 \\ 1.8 = t + 2.9 \\ 1.8 - 2.9 = t \\ - 1.1 = t \)

Answer:

1/3 of pizza does mario have

Answer:

-4

Step-by-step explanation:

a1 is 2

a2 = a1^2-5 = 4-5 = -1

a3 is a2^2-5 = 1-5 = -4

The speed from City A to City B is 275 mph.

To find the speed of the jet from City A to City B, we can use the concept of average speed and the given information about the round-trip duration.

Let's assume the outbound speed of the jet is x mph.

Since the return trip is 20% faster, the speed for the return trip would be 1.2x mph.

The total distance for the round-trip is 2000 miles, so the one-way distance is 1000 miles.

Now, let's calculate the time taken for each leg of the trip:

Outbound trip time = Distance / Speed = 1000 / x hours

Return trip time = Distance / Speed = 1000 / (1.2x) hours

According to the given information, the total round-trip duration is 6 hours and 40 minutes, which is equivalent to (6 + 40/60) hours = 6.67 hours.

Using the above information, we can set up an equation:

Outbound trip time + Return trip time = Total round-trip time

1000 / x + 1000 / (1.2x) = 6.67

To simplify the equation, we can multiply through by 1.2x:

(1.2 \(\times\) 1000) + 1000 = 6.67 \(\times\) 1.2x

1200 + 1000 = 8x

2200 = 8x

x = 275

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The value of x must be between -18 and -6. The solution has been obtained using Triangle inequality theorem.

What is Triangle inequality theorem?

The triangle inequality theorem explains how a triangle's three sides interact with one another. This theorem states that the sum of the lengths of any triangle's two sides is always greater than the length of the triangle's third side. In other words, the shortest distance between any two different points is always a straight line, according to this theorem.

We are given three sides of a triangle as 8, 6 and x+20

Using Triangle inequality theorem,

⇒8+6 > x+20

⇒14 > x+20

⇒-6 > x

Also,

⇒x+20+6 > 8

⇒x+26 > 8

⇒x > -18

Also,

⇒x+20+8 > 6

⇒x+28 > 6

⇒x > -22

From the above explanation it can be concluded that x is less than -6 but greater than -22 and -18.

This means that x must lie between -18 and -6.

Hence, the value of x must be between -18 and -6.

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The 90% confidence interval for the difference in the population means is -2.51 to 0.31

From the question, we have the following parameters that can be used in our computation:

xˉ₁ = −17.1

s₁² = 8.4

n₁ = 22

​xˉ₂ = −16.0

s₂² = 8.7

n₂ = 24

Calculate the pooled variance using

P = (df₁ * s₁² + df₂ * s₂²)/df

Where

df₁ = 22 - 1 = 21

df₂ = 24 - 1 = 23

df = 22 + 24 - 2 = 44

So, we have

P = (21 * 8.4 + 23 * 8.7)/44

P = 8.56

Also, we have the standard error to be

SE = √(P/n₁ + P/n₂)

So, we have

SE = √(8.56/22 + 8.56/24)

SE = 0.86

The z score at 90% CI is 1.645, and the CI is calculated as

CI =  (x₁ - x₂) ± z * SE

So, we have

CI = (-17.1 + 16.0) ± 1.645 * 0.86

This gives

CI = -1.1 ± 1.41

Expand and evaluate

CI = (-2.51, 0.31)

Hence, the confidence interval is -2.51 to 0.31

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Answer:

5,6,7

Step-by-step explanation:

the unfilled circle means that you dony inclued 4, and since the blue line is going u the scale means it can be any number higher than 4

The skip interval should be 40 if the sampling frame has 2000 names and the desired sample size is 50.

Systematic sampling is a type of sampling which uses the probability method where researchers select members of the group or population at a regular interval.

To determine the skip interval, it is necessary to first determine the sample size. Then the skip interval can be determined by dividing the total population by the target/desired sample size. Therefore;

skip interval = population / target sample size

Substituting the given values;

skip interval = 2000 / 50

skip interval = 40

Hence, the skip interval is calculated to be 40 if the frame has 2000 names and the desired sample size is 50.

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As a result of answering the given question, we may state that As a result, the arithmetic sequence's sixth term is -7x - 23.

A sequence is an ordered list of elements in mathematics. Numbers, functions, and other mathematical objects can be used as elements. A series is frequently denoted by stating its terms in parenthesis, separated by commas. The series of natural numbers, for example, can be denoted as: (1, 2, 3, 4, 5, ...) Similarly, the series of even numbers is denoted as follows: (2, 4, 6, 8, 10, ...) Depending on whether it has a finite or infinite number of terms, a sequence might be finite or infinite.

We need to know the common difference between consecutive words to obtain the sixth term of the arithmetic sequence. By subtracting the second term from the first, we can determine the common difference:

difference in common = (x+1) - (3x+7) = -2x - 6

We can then calculate the sixth term by multiplying the common difference by 5 (3x+7):

-7x - 23 = (3x+7) + 5(-2x - 6)

As a result, the arithmetic sequence's sixth term is -7x - 23.

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Calculating the circumference of a circle based on the circle's diameter.

What kind of problems can a quantum computer solve?

10 Difficult Problems Quantum Computers can Solve Easily-

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The complete question is -

Which type of mathematical problem is too complex for a classical computer to solve efficiently?

a. converting an irregular fraction to an approximate decimal value

b. multiplying two numbers that both have a large number of digits

c. finding two prime factors that result in a specific value when multiplied

d. calculating the circumference of a circle based on the circle's diameter

Answer:

positive association

Step-by-step explanation:

The longer a movie is, the more screen time it will have, and the more actors it will probably need.

Answer:

1:15 pm

Step-by-step explanation:

It takes 6 hours to reach London from Minneapolis and she reached Minneapolis at 7:15pm so

7:15 - 6 = 1:15

The given table represents the counts from three independent random samples taken from three major cities regarding whether teenagers consumed a soft drink in the past week.

By summing up the counts of teenagers who consumed a soft drink from all three cities and dividing it by the total number of teenagers surveyed, we can calculate the overall proportion. Dividing this proportion by the total number of teenagers and multiplying by 100 will give us the percentage of teenagers who consumed a soft drink.

For example, if the first city had a count of 150 teenagers who consumed a soft drink out of a total of 300 surveyed, the second city had 200 out of 400, and the third city had 180 out of 350, the overall proportion would be (150 + 200 + 180) / (300 + 400 + 350) = 530 / 1050. Multiplying this by 100, we find that approximately 50.48% of teenagers consumed a soft drink in the past week based on the combined sample.

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A research center conducted a national survey about teenage behavior. Teens were asked whether they had consumed a soft drink in the past week. The following table shows the counts for three independent random samples from major cities. Baltimore Yes 727 Detroit 1,232 431 1,663 San Diego 1,482 798 2,280 Total 3,441 1,406 4,847 No 177 904 Total (a) Suppose one teen is randomly selected from each city's sample. A researcher claims that the likelihood of selecting a teen from Baltimore who consumed a soft drink in the past week is less than the likelihood of selecting a teen from either one of the other cities who consumed a soft drink in the past week because Baltimore has the least number of teens who consumed a soft drink. Is the researcher's claim correct? Explain your answer. (b) Consider the values in the table. (i) Baltimore Detroit San Diego 0 0.1 0.9 1.0 0.2 0.3 0.4 0.5 0.6 0.7 0.8 Relative Frequency of Response (ii) Which city had the smallest proportion of teens who consumed a soft drink in the previous week? Determine the value of the proportion. (c) Consider the inference procedure that is appropriate for investigating whether there is a difference among the three cities in the proportion of all teens who consumed a soft drink in the past week. (i) Identify the appropriate inference procedure. (ii) Identify the hypotheses of the test.

The lettered measurements for angles or sides in descending order is a, b, c.

When a pattern of numbers in mathematics has a decreasing value, the numbers are said to be in descending order. It indicates that the numbers are sorted from highest to lowest.

A format where items are arranged from highest to lowest is known as descending order. These ideas have to do with money, fractions, decimals, and numbers.

In right triangle, the sides facing the acute angles are opposite to the angles. From the given triangle, you can see that:

Side "b" is facing angle 50°

Side "c" is the smallest side which facing the unknown angle (40°)

the third side is largest side of right triangle facing the angle 90°. this is the smallest side of second triangle because of side opposite to smallest angle.

Side "a" is facing the unknown angle of second triangle (100°)

So the correct descending order is a, b, c.

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The condition that ∣y′′(x)∣≤1.2847 for 0.46≤x≤0.505, the smallest possible value for ∣e18∣, which represents the error at x=0.505. The worst-case theoretical error can be approximated as 0.0025000 * 1.2847 = 0.00321175.

Euler's method is a numerical approximation technique that uses small step sizes to estimate the solution of an initial value problem. The theoretical error in the approximation can be determined by analyzing the local truncation error, which is the error introduced in a single step of the method.

In Euler's method, the local truncation error is proportional to the step size h and the second derivative of the solution. Since we know that ∣y′′(x)∣≤1.2847 for 0.46≤x≤0.505, we can use this information to estimate the worst-case theoretical error.

To find the smallest possible value for ∣e18∣, we need to determine the maximum value of the second derivative in the given interval. Since the maximum value of ∣y′′(x)∣ is 1.2847, the worst-case theoretical error at x=0.505 would be proportional to the step size h=0.0025000 and the maximum second derivative. Therefore, the worst-case theoretical error can be approximated as 0.0025000 * 1.2847 = 0.00321175.

Thus, the smallest value for ∣e18∣, accurate to six decimal places, is 0.003212.

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Answer:

For 7 houses you will need 5.83 acres of land and the builder will have 4.16 acres of land unused 

Step-by-step explanation:

Answer:

1.4285714285714%

Step-by-step explanation:

Dividí el numero + entre -

Answer:

the answer is 42.9

Step-by-step explanation:

Answer:

y = 2/5x - 4

Step-by-step explanation:

y = mx+b  where m is the slope and b is the y intercept

y = 2/5x - 4

I believe it's right two down one

\(X = B(C^{-1})^2 - A\) is a solution to the invertible matrices equation \(C^{-1}(A+X)B^{-1}=I_n\).

We can begin by multiplying both sides of the equation by\((A+X)B^{-1}\):

\(C^{-1}(A+X)B^{-1}(A+X)B^{-1} = I_n(A+X)B^{-1}\)

Simplifying the left-hand side, we get:

\(C^{-1}(A+X)B^{-1}(A+X)B^{-1} = C^{-1}(A+X)(A+X)^{-1}C^{-1} = C^{-1}C^{-1} = (C^{-1})^2\)

Simplifying the right-hand side, we get:

\(I_n(A+X)B^{-1} = (A+X)B^{-1}\)

When we plug these values back into the original equation, we get:

\((C^{-1})^2 = (A+X)B^{-1}\)

Multiplying both sides by B, we get:

\(B(C^{-1})^2 = A+X\)

When we return to the original equation, we get:

\(C^{-1}(B(C^{-1})^2)B^{-1} = I_n\)

Simplifying, we get:

\((C^{-1})^2 = (C^{-1})^2\)

This is a true statement, so the equation has a solution,\(X = B(C^{-1})^2 - A\).

To solve the equation C^{-1}(A+X)B^{-1}=I_n, we first multiplied both sides by \((A+X)B^{-1}\) and simplified the equation to get \((C^{-1})^2 = (A+X)B^{-1}\). We then multiplied both sides by B and substituted the result back into the original equation to get \(C^{-1}(B(C^{-1})^2)B^{-1} = I_n\). Simplifying this equation, we got \((C^{-1})^2 = (C^{-1})^2\), which is a true statement. Therefore, the equation has a solution, X = \(B(C^{-1})^2 - A\).

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Answer:

103.5

Step-by-step explanation:

Answer:

103.5

Step-by-step explanation:

The question is,

→ what is 1656 divided by 16?

Forming as problem,

→ 1656 ÷ 16

Let's solve the problem,

→ 1656 ÷ 16

→ 103.5

Thus, the answer is 103.5.

Answer: 1304.7

Step-by-step explanation: just took test

Using simple interest, we have that:

A) The interest due after 8 months is $11,272.33.

B) The total value of the investment will be of $189,986.24.

The amount of interest earning using simple interest, after t years, with an yearly interest rate of i and an initial investment of P is given by:

\(E = Pit\)

In this problem:

Item a:

\(E = Pit\)

\(E = 178000(0.095)\frac{2}{3} = 11272.33\)

The interest due after 8 months is $11,272.33.

Item b:

For the second interest, we consider \(P = 11272.33\), hence:

\(E_2 = Pit\)

\(E_2 = 11272.33(0.095)\frac{2}{3} = 713.91\)

The total value will be composed by:

Hence, it will be:

\(T = 178000 + 11272.33 + 713.91 = 189986.24\)

The total value of the investment will be of $189,986.24.

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Answer:

about 2.8%

Step-by-step explanation:

The value of x and y in the algebra (3x - y, 2) = (2, x + y) ​ are 1 and 1 respectively.

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Given the algebra:

(3x - y, 2) = (2, x + y) ​

Therefore, equation:

3x - y = 2        (1)

Also:

x + y = 2        (2)

From both equations, solving simultaneously:

x = 1, y = 1

The value of x and y are 1 and 1 respectively.

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