Se desea plantar árboles a lo largo de un camino de 80m de longitud, a una distancia mínima entre ellos. Si dicha distancia de separación aumentará 6m, entonces el número de árboles necesarios disminuirá en 3. ¿Cuántos árboles serán plantados de la primera forma?

Both options a. A = 129.9° and b. A = 53.1° are correct.

To find the possible values for angle A in triangle ABC, we can use the Law of Sines, which states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant.

Using the Law of Sines, we have sin(A)/a = sin(B)/b. Plugging in the given values, we get sin(A)/36 = sin(51°)/35.

To find the two possible values for angle A, we can solve the equation sin(A)/36 = sin(51°)/35. Taking the arcsine of both sides, we have A = arcsin((sin(51°)/35)*36).

Calculating this expression, we find two possible values for angle A:

A ≈ 53.1° (rounded to the nearest tenth)

A ≈ 129.9° (rounded to the nearest tenth)

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Answer:

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Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

The intensity and the threshold of the noise are illustrations of rates

The decibel measurement of a quiet room is 28

From the graph that completes the question, we have the following point

(Decibel, Intense) = (28,500)

This means that, the decibel measurement is 28

Hence, the decibel measurement of a quiet room is 28

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Answer:

B or 28

Step-by-step explanation:

edge 22

Answer:

2:5, 3:4, 1:3

simplify the numbers

The correct option H0: µD ≥ 0,HA: µD < 0, is used to determine whether the first population's mean is lower than the second population's mean, a set of hypotheses.

Paired testing, commonly referred to as auditing, is a practical and easy technique to determine whether and how discrimination is present.

Thus, µD ≥ 0,HA: µD < 0, is used to determine whether the first population's mean is lower than the second population's mean, a set of hypotheses.

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Shoe Town provides the finest ultimate price, so Raven should purchase the boots there.

possessing an identical or consistent ratio or connection between two quantities: If y/x = k, in which k is the proportionality constant, then the numbers y and x are proportionate.

To determine which one is the best store for Raven let's calculate the price in each case.

Shoe Town

Total price:

Initial price - Mark down  + Sales tax

85.95 - 15% + 7.16 %

85.95 - 12.89 + 7.16 %

73.06 + 7. 16%

73.06 + 5.23 = 78.29

Lace Up

Total price:

Initial price - Mark down - Coupon + Sales tax

85.95 - 10% - 5 + 7.15%

89.95 - 8.99 - 5 + 7.15%

80.96 - 5 + 7.15%

75.96 + 7.15%

75.96 + 5.43 = 81.39

Run, Don't Walk

Total price:

Initial price + shipping

71.99 + 6.50 = 78.45

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In order to determine the critical values for an independent-samples T-test, the following information needs to be known:

The critical values for an independent-samples t test are used to determine if the differences between two samples are statistically significant. In order to calculate the critical values, the size of the sample (n), the significance level (alpha), the degrees of freedom (df), and the type of t-test (one-tailed or two-tailed) must be known. The degrees of freedom are equal to the number of observations in the sample minus

The size of the sample is the total number of observations in the two samples. The significance level is the probability of making a type-I error (rejecting the null hypothesis when it is true). Finally, the type of t-test is used to determine if the test is one-tailed (testing for a difference in one direction) or two-tailed (testing for a difference in both directions). Once all of this information is known, the critical values can be calculated to determine if the differences between the two samples are statistically significant.

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To find the mean of the distribution, we simply multiply the probability of getting a son (0.52) by the number of people surveyed (57):

Mean = 0.52 x 57 = 29.64

Rounding to the nearest person, the mean is 30. To find the standard deviation, we can use the formula:
Standard deviation = square root of (p x q x n), Where p is the probability of success (0.52), q is the probability of failure (1 - 0.52 = 0.48), and n is the sample size (57). Standard deviation = square root of (0.52 x 0.48 x 57) = 4.75

Standard deviation (σ) = √(n × p × (1 - p))
σ = √(57 × 0.52 × 0.48)
σ ≈ 3.71 ≈ 4 (rounded to the nearest person)
So, the mean of the distribution is approximately 30 sons, and the standard deviation is approximately 4 sons.

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Step-by-step explanation:

Area of parallelogram = base * height

Area = 7*9

Area = 63 yd^2

Answer:

Step-by-step explanation:

Here,

So,

We know that,

Area of Parallelogram = b × h

→ 7 × 9

→ 63yd²

Thus,

From the question the transformations that non-rigid is dilation. The correct answer is B.

Any transformation of a geometric object that alters the size but not the shape is referred to as a nonrigid transformation. Examples of non-rigid types of transformation include stretching and dilation. Any action taken on a shape is referred to as a metamorphosis.

Rigid transformation is When a figure undergoes a stiff transformation, its size and shape are left unaltered. Because the image is unchanged, stiff transformations include translations, rotations, and reflections.

As a result, a dilation is a non-rigid transformation because the size of the image is changing.

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Step-by-step explanation:

13) 4x-22+x+11+10x-4 =180

15x=195

x=13

<P=(10(13)-4)=126

<Q=(4(13)-22)=30

<R=13+11=24

Elena made 2 batches of bird food, each with 1/8 cup cracked corn, 3/4 cups sunflower seeds, and 1/4 cup dried cranberries, for a total of 1.75 cups of bird food.

Elena made two batches of bird food using a combination of cracked corn, sunflower seeds, and dried cranberries. Each batch uses 1/8 cup of cracked corn, 3/4 cup of sunflower seeds, and 1/4 cup of dried cranberries.

To find the total amount of bird food she made, we need to add the ingredients of the two batches together.

Since she made two batches and each batch contains 1/8 cup of cracked corn + 3/4 cup of sunflower seeds + 1/4 of dried cranberries, the total amount of bird food is 2 × (1/8+3/4+1/4) = 2 × (7/8) = 7/4 = 1.75 cups.

This is the best estimate of the total amount of bird food made by Elena. It's important to note that this estimate is based on the assumption that the proportion of ingredients in each batch is the same, and that the ingredients are measured accurately.

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Answer:

\(1\frac{7}{15}\)

Step-by-step explanation:

The computation of the water did Audrina drink altogether is as follows:

\(= \frac{4}{5} + \frac{2}{3}\\\\= \frac{12 + 10}{15} \\\\= \frac{22}{15}\)

Now in a mixed fraction, it would be

\(1\frac{7}{15}\)

Hence, the water did Audrina drink altogether is \(1\frac{7}{15}\)

Step-by-step explanation:

2 9/12×6=(2×12+9)/12×6=33×6/12=33/2=16.5is answer

Since, The equation of the height with the time is provided and the balloon is thrown upwards against gravity from 5 feet, The answer is 0.255 sec.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

When gravity first exerts force on an object, its initial velocity defines how quickly the object moves. The final velocity, on the other hand, is a vector number that gauges a moving body's speed and direction after it has reached its maximum acceleration.

initial height = 5

final height =20

height to travel =20-5 =15

\(15 = 16t^{2}+35t+5\\16t^{2}+35t-10 =0\)

solving we get, t = 0.255 or -2.44

since, -2.44 is not possible,

t = 0.255 seconds.

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By using the concept of testing of hypothesis, the null and alternative hypothesis is given by

\(H_0 :p_i = \frac{1}{5}\)

\(H_a : p_i \neq \frac{1}{5}\) for atleast one day

What is testing of hypothesis?

Suppose there is a hypothesis and there is a data at hand. Testing of Hypothesis determines whether a particular hypothesis is supported by the data at hand.

The null and alternative hypothesis can be written are as follows-

Null hypothesis: \(H_0\) : There is no difference in the number of swimmers from day to day.

Alternative hypothesis: \(H_a\) : There is a difference in the number of swimmers from day to day.

\(H_0 :p_i = \frac{1}{5}\)

\(H_a : p_i \neq \frac{1}{5}\) for atleast one day

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Complete Question

The manager of the city pool has scheduled extra lifeguards to be on staff for Saturdays. However, he suspects that Fridays may be more popular than the other weekdays as well. If so, he will hire extra lifeguards for Fridays, too. In order to test his theory that the daily number of swimmers varies on weekdays, he records the number of swimmers each day for the first week of summer. Test the manager’s theory at the 0.10 level of significance.

Swimmers at the City Pool

Monday Tuesday Wednesday Thursday Friday

Number 46 68 43 51 70

Step 1 of 4 :

State the null and alternative hypotheses in terms of the expected proportion for each day. Enter your answer as a fraction or a decimal rounded to six decimal places, if necessary.

H0: pi=⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯

Ha: There is a difference in the number of swimmers from day to day.

The domain of the function is all real numbers and  range is  y ≥ -1.

Since the vertex is at (1,-1), the axis of symmetry is x = 1.

This means that the domain of the function is all real numbers.

To find the range, we need to consider the y-values of the graph. Since the vertex is the lowest point of the graph, the range must be all y-values greater than or equal to -1.

However, since the parabola opens upwards, there is no upper bound on the y-values.

Therefore, the range is given by y ≥ -1.

Hence, the domain of the function is all real numbers and  range is  y ≥ -1.

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Answer:

7 shirts

Step-by-step explanation:

290/40 = 7.25

But since you can't have 7.25 shirts, it's just 7.

Answer:  72

Step by step explanation:

sum of the masses of the 25 goats take as x then x/25=74 so 74×25=x x=1850 after buying a new goat number of goats =26

hope i helped <3

a.) The hypotheses are Null and alternative.

b.) The probability of a Type II error is: β(326) = 0.0046

c.) The power is: power(355) = 0.9599

d.) The null hypothesis at the 0.05 level of significance.

a) The hypotheses are:

Null hypothesis: The mean depth of the lake is equal to 344 meters.

Alternative hypothesis: The mean depth of the lake is less than 344 meters.

b) To find the probability of a Type II error, we need to assume that the true mean depth is 326 meters, calculate the corresponding z-score, and find the area under the curve to the right of this z-score (since the alternative hypothesis is in the left direction). Using the formula for the z-score:

z = (x - μ) / (σ / sqrt(n))

z = (344 - 326) / (30 / sqrt(44))

z = 2.63

Using a standard normal table, we find that the area to the right of 2.63 is 0.0046. Therefore, the probability of a Type II error is:

β(326) = 0.0046

c) Assuming the alternative hypothesis is now that the mean depth of the lake is greater than 344 meters, the new hypotheses are:

Null hypothesis: The mean depth of the lake is equal to 344 meters.

Alternative hypothesis: The mean depth of the lake is greater than 344 meters.

To find the power when the true mean depth is 355 meters, we need to calculate the corresponding z-score and find the area under the curve to the right of this z-score. Using the formula for the z-score:

z = (x - μa) / (σ / sqrt(n))

z = (344 - 355) / (30 / sqrt(44))

z = -1.75

Using a standard normal table, we find that the area to the right of -1.75 is 0.9599. Therefore, the power is:

power(355) = 0.9599

d) The test statistic is:

t = (x - μ) / (s / sqrt(n))

t = (337 - 344) / (30 / sqrt(44))

t = -2.15

When α = 0.01, the critical t-value is -2.695. Since -2.15 > -2.695, we fail to reject the null hypothesis at the 0.01 level of significance.

When α = 0.05, the critical t-value is -1.681. Since -2.15 < -1.681, we reject the null hypothesis at the 0.05 level of significance.

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Answer:

A receipt is a record of a transaction that apready happened.

Answer: 70.4÷11 = 6.4

Step-by-step explanation:

__6.4__

11/70.4

-66 |

04 4

- 4 4

_____

=0

Answer:

Step-by-step explanation:

EFD = 90* (straight line = 180, and other angle is 90)

EHF = 180-52 = 128* (again straight line)

HFG = 90-32 = 58* (its a right angle (can tell by the square angle) = 90*)

G = 180 - 52 - 58 = 70* (angles in triangle = 180)

E = 180 - 32 - 128 = 20* (angles in triangle = 180)

It is expected that a vowel will be spun approximately 15 times.

To determine how many times is it expected that a vowel will be spun, taking into account that between the A and the J there are 3 vowels (A, E and I), the following calculation must be made:

Therefore, it is expected that a vowel will be spun approximately 15 times.

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Answer:

15

Step-by-step explanation:

Since the given lines a and b are neither parallel, nor do they intersect each other. Also, they lie on two different planes, P and Q respectively, and thus, are co-planar. hence, a and b can be called skew lines.

Definition of Skew Lines

Skew lines in 3D geometry, are, by definition, a pair of lines that are neither parallel nor intersect each other. Such lines are therefore not coplanar, according to the conclusion.

Skew lines tend to occur frequently in real-world circumstances. Let's say there is a line on the ceiling and a line on the wall. These lines can be skew lines because they lie in distinct planes if they are not parallel to one another and do not meet. Skew lines go on forever in both directions.

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Answer:

Step-by-step explanation:

Skew lines are noncoplanar and do not intersect. Line a lies in plane Q and line b lies in plane R, so the lines are not coplanar. No other plane can be drawn through the lines, so they are not parallel. So, a and b are skew.

Answer:

The last year value of the house will be $230,000.

Step-by-step explanation:

GIVEN: Decrease in house price = 20%

            Current house price = $184,000

TO FIND: Value of the house last year

SOLUTION:

If the value of the house decreased by 20% during last year, this means the value of the house this year is 80% of last year's value.

Let the value of the house last year be 'x'.

If the value of the house today is  $184,000, then:

                           \(80/100 * x = 184,000\\\\0.8x = 184,000\\\\x = 184,000/0.8\\\\x = 230,000\)

Therefore, the last year value of the house will be $230,000.