A blimp provides aerial television views of a baseball game. The television camera sights the stadium at an 18° angle of depression. The altitude of
the blimp is 300 m. What is the line-of-sight distance from the television camera to the base of the stadium? Round to the nearest hundred meters.

Points on a perpendicular bisector of a line segment are equidistant from the segment’s endpoints is the meaning of perpendicular bisector theorem

The perpendicular bisector theorem states that if a point is on the perpendicular bisector of a segment ,then it is equidistant from the segment's endpoints.

The perpendicular bisector of a triangle is the line segment that is drawn from a vertex to the opposite side bisecting the side at a right angle. The perpendicular of a triangle is perpendicular to the sides drawn from the opposite vertices and divides the sides into two equal parts. The point at which all the three perpendicular bisectors of a triangle meets is called the circumcenter of a triangle.

It is the meaning of perpendicular bisector theorem.

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The question asks to estimate the rainfall at station D in the year 1980 based on the rainfall data of other stations. The answer is that station D's rainfall in 1980 can be estimated by comparing the rainfall patterns of all stations in the basin.

To estimate the rainfall at station D in 1980, we can analyze the relationship between the rainfall at different stations. In this case, we can observe that there is a correlation between the annual rainfall at stations A, B, C, and D. By comparing the rainfall patterns of these stations, we can make an estimation for station D.

In the given data, station D is inoperative in 1980, but the rainfall data for stations A, B, and C are available. By analyzing the rainfall patterns in previous years and considering the correlation between the stations, we can estimate the rainfall at station D in 1980 based on the rainfall data of the other stations in the basin.

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The relationship between the volume of a prism and pyramid with congruent bases and heights is that the volume of pyramid is one-third of the volume of prism.

As the prism and pyramid have congruent bases and heights, let us consider the area of the triangular base is A and the height is h.

For a prism of base area A and height h, volume is determined by the formula

Vpm = A×h

For a pyramid of base area A and height h, volume is determined by the formula

Vpd = A×h/3

From both relations for volume

Vpd = Vpm/3

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In this scenario, the null hypothesis (H0) states that the mean completion time, μ, of the assembly line operation is equal to 41 minutes.

The alternative hypothesis (H1) suggests that the mean completion time is less than 41 minutes.

Therefore, the hypotheses for the test can be written as follows:

H0: μ = 41

H1: μ < 41

The null hypothesis represents the status quo or the current belief, which in this case is that the mean completion time is 41 minutes.

The alternative hypothesis, on the other hand, reflects the managers' belief that the mean completion time has decreased and is now less than 41 minutes.

By setting up these hypotheses, the managers are essentially testing whether there is sufficient evidence to support the claim that the mean completion time is indeed less than 41 minutes, based on the sample data they have collected.

To perform the statistical test, the managers will need to analyze the sample mean completion time of 37 minutes and evaluate whether it provides enough evidence to reject the null hypothesis in favor of the alternative hypothesis.

This will involve conducting appropriate statistical tests, such as a one-sample t-test, to determine the statistical significance of the observed difference in the sample mean compared to the hypothesized population mean of 41 minutes.

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Answer:

Es falso.

Step-by-step explanation:

Es falso.

En una recta numérica tenemos los enteros positivos ubicados a la derecha del 0 (punto central) y los enteros negativos ubicados a la izquierda del cero.

 |__|__|__|__|__|__|__|__|                              

-4   -3  -2  -1   0   1    2   3  4

En la recta numérica los números son cada vez mayores hacia la derecha y cada vez menores hacia la izquierda, por lo que cada número será mayor que el número ubicado a su izquierda y menor que el número ubicado a su derecha. Por ejemplo:        

- El 3 es mayor que el 2 y menor que el 4

- El -2 es mayor que -3 y menor que -1      

Entonces, los enteros positivos y los enteros negativos son mayores a la derecha. Por lo tanto el enunciado es falso.  

Espero que te sea de utilidad!  

the distance between the tree and the flagpole is approximately 23.29 feet.

To find the distance between the tree and flagpole, we can use the Pythagorean theorem, which states that the square of the distance between the two points (the hypotenuse of the right triangle) is equal to the sum of the squares of the other two sides.

In this case, the distance between the tree and flagpole (the hypotenuse of the triangle) is equal to the square root of (20^2 + 12^2) = square root of (400 + 144) = square root of 544.

So the distance between the tree and the flagpole is approximately 23.29 feet.

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Answer:

To find the second derivative of y with respect to x, we can take the derivative of the given differential equation with respect to x:

dy/dx = xy^4 d/dx(dy/dx) = d/dx(xy^4) d2y/dx2 = y^4 + 4xy^3(dy/dx)

Substituting the given differential equation into the expression for the second derivative, we get:

d2y/dx2 = y^4 + 4xy3(xy4) = y^4 + 4x2y7

In Quadrant II, x is negative and y is positive. Since y^4 and y^7 are both positive for any value of y, the expression for the second derivative simplifies to:

d2y/dx2 = y^4(1 + 4x2y3)

Since x is negative in Quadrant II, the quantity (1 + 4x2y3) is positive. Therefore, d2y/dx2 is positive for all values of x and y in Quadrant II. This means that all solution curves for the given differential equation are concave up in Quadrant II.

Received message. To find the second derivative of y with respect to x, we can take the derivative of the given differential equation with respect to x: dy/dx = xy^4 d/dx(dy/dx) = d/dx(xy^4) d2y/dx2 = y^4 + 4xy^3(dy/dx) Substituting the given differential equation into the expression for the second derivative, we get: d2y/dx2 = y^4 + 4xy^3(xy^4) = y^4 + 4x^2y^7 In Quadrant II, x is negative and y is positive. Since y^4 and y^7 are both positive for any value of y, the expression for the second derivative simplifies to: d2y/dx2 = y^4(1 + 4x^2y^3) Since x is negative in Quadrant II, the quantity (1 + 4x^2y^3) is positive. Therefore, d2y/dx2 is positive for all values of x and y in Quadrant II. This means that all solution curves for the given differential equation are concave up in Quadrant II.

Step-by-step explanation:

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.

To rationalize the denominator 1/7 + 3√2,

A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.

Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.

Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).

Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).

Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!

The final answer is (1 + 21√2)/(21√2).

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.

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Explanation:

For any right triangle, the sine of an acute angle is equal to the opposite over hypotenuse.

So we can say

sin(angle) = opposite/hypotenuse

sin(A) = 3/5

Note how the side that's 3 units long is as far away from angle A as possible, which is why it's considered the opposite side. The hypotenuse 5 is the longest side of the triangle. The hypotenuse is always the longest side, and always opposite the 90 degree angle.

Step-by-step explanation:

\( \frac{4}{3} \pi {(4.3)}^{3} \\ \frac{4}{3} \pi(79.507) \\ \frac{318.028}{3} \pi \\ 106.0093\pi \\ \frac{1}{2} 333.038 \\ 166.5 {cm}^{3} \)

Answer: Because 2 places to the right of the the decimal.

Step-by-step explanation:

The number of combinations of balloons that can be chosen is 1716.

Selections and combinations are synonyms. Combinations represent the choosing of items from a predetermined group of items. We're not trying to arrange anything here. We're going to pick them.

Utilizing the combinations formula, it is simple to determine how many distinct groups of r objects each may be created from the provided n unique objects.

Number of red balloons = 12

Number of blue balloons = 8

First, we figure out how to choose from 13 red and 9 blue balloons.

There are 7 balloons left out of the 29 total (i.e. 29 - 13 - 9)

So, n = 7+7-1

n = 13

r = 7

Number of combinations of balloons = \(_{13} C_{7}\)

                                                               = 13!/(13-7)!7!

                                                               = 13!/6!7!

                                                               = 1716

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Answer:

-26.25 degrees

Step-by-step explanation:

1. Given that the initial temperature in Minnesota was -20 degrees and it decreased by 6 1/4, we can translate it into an expression: -20 - 6.25.

2. Now, all we have to do is solve the expression:

Therefore, the final temperature is -26.25 degrees.

The mortgage loan amount on a home that sells is 207000$.

A down payment is the initial amount a buyer pays to purchase an expensive product or service. The down payment represents a portion of the total purchase price, and the buyer often takes out a loan for the rest.

The formula loan calculators use is I = P * r *T in layman's terms Interest equals the principal amount multiplied by your interest rate times the amount in years.

M = S − D where M is the mortgage loan amount, S is the selling price, and D is the down payment.

M = $230,000 -  $23,000

and  =   207000$

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Answer:4

Step-by-step explanation:

diagonals of a rectangle are equal therefore QS=RT, 14x+10=11x+22, and solve for x to get 3x=12, so x equals 4

Answer:

27_5_10/2

27_5_5

22_5

17

Complete question:

All of Ralph's ranch land was divided equally among his 6 children. His daughter Lynn's portion of the ranch land was divided equally among her 4 children. How much of Ralph's ranch land was inherited by 1 of Lynn's children?

Answer:

1 / 24

Step-by-step explanation:

Number of Ralph's children = 6

Number of Lynn's children = 4

If Ralph's land were divided equally among his six children, the fraction each child gets equals

Proportion of land / number of children

= 1 / 6

Therefore, Lynn who is also Ralph's daughter gets 1/6 portion.

If 1/6 is shared equally between her four children, then ;

Her portion ÷ 4

(1/6) ÷ 4

(1/6) × (4/1)

= 1/ 24

Each of Lynn's children gets 1 / 24

The solution to the statements and missing spaces are;

From the information give, we have that;

1. 10000 less than 61397

This is represented as;

61397 - 10000

51397

2. 10000 more than 87406

This is represented as;

87406 + 10000

97406

3. 1000 less than 46377

This is represented as;

46377 - 1000

45377

4. 82126 more than 100

This is represented as;

82126 + 100

82226

5. 10535 less than 10000

This is represented as;

10535 -  10000

535

6. 79459 is 1 less than 79460

7. 77602 is 10 more than 77592

8. 52341 is 1000 more than 51341

Thus, the values are determined by adding or subtracting the terms.

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Given :

Original price , P .

Discount given , 35 % .

To Find :

The final discounted price of the object .

Solution :

Let final price is x .

Now , x = p - (35% of p) .

\(x=p-\dfrac{35}{100}p\\\\x=0.65p\)

Therefore , final price of the object is 0.65p ,

Hence , this is the required solution .

From the hypothesis test, it is found that the p-value of the test is of 0.6634

At the null hypothesis, we test if the mean is still the same, that is, of 10.2 hours per week, thus:

H₀ : μ = 10.2

At the alternative hypothesis, we test if the mean has increased, that is, if it is greater than 10.2 hours per week, thus:

H₀ :  μ > 10.2

Ten students were surveyed, so there are 9 degree of freedom. The test statistic is t = 0.45, and it is a one-tailed test, as we are testing if the mean is greater than a value.

Thus, using a t-distribution calculator, the p-value of the test is of 0.6634

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The quantity demanded is greater the quantity supplied, and as such there will be a shortfall.

The demand and supply functions are given as:

Demand: 2p + 5q = 200

Supply: p - 29 - 30

For a price of p = $70, we will have:

Demand: 2(70) + 5q = 200

140 + 5q = 200

5q = 60

q = 12

Supply: 70 - 29 - 30 = 11

Therefore, at a price of $70, the quantity demanded is 12 pairs of shoes and the quantity supplied is 11 pairs of shoes.

Since the quantity demanded is greater the quantity supplied, then there will be a shortfall of 1 pair of shoes.

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Complete question is:

If the demand for a pair of shoes is given by 2p + 5q = 200 and the supply function for it is p - 29 - 30, compare the quantity demanded and the quantity supplied when the price is $70. quantity demanded pairs of shoes quantity supplied pairs of shoes Will there be a surplus or shortfall at this price? There will be a surplus. There will be a shortfall.

Frist one: B

Second one: C

Third one: C

fourth one: A

1st problem:

To convert 0.6 into fraction, we have to write it in p/q form, where p and q are positive integers:

→ 0.6 = 6/10

By the use of cancellation:

→ 6/10 = 3/5

Therefore, the correct answer is option B

2nd problem:

→ 4/5

→  = (4 × 2) / (5 × 2)

→ = 8/10 = 0.8

Therefore, the correct answer is option C

3rd problem:

→ 40% = 40/100

Find the GCF or the greatest common factor of 40 and 100:

20 is the GCF

→ (40 ÷ 20) / (100 ÷ 20)

→ = 2 / 5

Therefore, the correct answer is option C

Last problem:

→  11 50 × 100

You will get the percent value. 22

Therefore, the correct answer is option A

Thus, the correct options are:

Frist one: B

Second one: C

Third one: C

fourth one: A

Answer:

B C C A

Step-by-step explanation:

Answer:

Dividend: 3 1/2

Divisor: 1 3/4

To solve this problem, we can convert both mixed numbers to improper fractions:

Dividend: 7/2

Divisor: 7/4

Then we can divide the two fractions:

(7/2) ÷ (7/4) = (7/2) x (4/7) = 2

So the quotient is 2, which is a whole number. Therefore, the division problem 3 1/2 ÷ 1 3/4 = 2 has been solved.

Using the extended version of Markov's inequality with the function φ(x) = (x^c)^2, where c is a positive constant, we can show that the probability of a random variable X being greater than or equal   to a positive constant k can be bounded by E[X^(2c)]/k^(2c).

The extended version of Markov's inequality states that for a non-negative random variable X and any positive constant k, we have:

P(X ≥ k) ≤ E[X^c]/k^c

In this case, we are using the function φ(x) = (x^c)^2. Substituting this function into the inequality, we get:

P(X ≥ k) ≤ E[(X^c)^2]/k^(2c)

This inequality provides an upper bound on the probability that X is greater than or equal to k, based on the moment E[(X^c)^2]. The moment E[(X^c)^2] is a measure of the "spread" or variability of X raised to the power of c. By dividing this moment by k^(2c), we obtain an upper bound on the tail probability.

Overall, the extended version of Markov's inequality with the function φ(x) = (x^c)^2 allows us to establish an upper bound on the probability of a random variable X being greater than or equal to a positive constant k, based on its moment E[(X^c)^2]. This inequality provides a useful tool for bounding tail probabilities and studying the behavior of random variables.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is 37%

: 16500*37%= 6150

6150+16500=22605 :correct