A forester is 50 m from the base of a tree and measures the angle between the ground and the top of the tree. If the angle is 768, fi nd the height of the tree. Round your answer to the nearest meter

The null hypothesis states that there is no significant difference in the proportion of males and females that have at least one tattoo; the alternative hypothesis states that there is a significant difference.

The survey indicates that the proportion of males and females who have tattoos is not the same. We can conduct a two-sample proportion test to determine if the difference in the sample proportions is statistically significant. The null hypothesis states that there is no significant difference in the proportion of males and females that have at least one tattoo; the alternative hypothesis states that there is a significant difference.

The test statistic is \(z= -0.98\), with a corresponding p-value of \(0.33\). Since the p-value is greater than \(0.05\), the null hypothesis cannot be rejected at a 95% level of significance. Therefore, there is no significant difference in the proportion of males and females with at least one tattoo. The 95% confidence interval is\(-0.029\) to \(0.099\), which means that we are 95% confident that the true difference between the proportions of males and females who have tattoos is between \(-0.029\) and \(0.099\).

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Answer:

assam gujarat rajasthan

According to the given statement , the unknown values representing the unit rate are a = 1/22 and b = 1/22.

In a proportional relationship, the unit rate is the constant ratio between the two quantities. To find the unit rate, we need to compare the number of nails to the number of boxes. Looking at the table, we see that as the number of boxes increases, the number of nails also increases.

To find the unit rate, we can divide the number of nails by the number of boxes for each row.

For the first row: a/b = 4/88
For the second row: a/b = 6/132
For the third row: a/b = 8/176

Simplifying these fractions, we find that the unit rate for each row is 1/22, 1/22, and 1/22 respectively.

Therefore, the unknown values representing the unit rate are a = 1/22 and b = 1/22.

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The sin(x) = -3/5, cos(x) = -4/5, and tan(x) = 3/4.

Given that cos(x) = -4/5 and 180° < x < 270°, we can determine the values of sin(x) and tan(x) using trigonometric identities.

Using the identity \(sin^2(x) + cos^2(x) = 1\), we can find sin(x) as follows:

\(sin^2(x) = 1 - cos^2(x)\\sin^2(x) = 1 - (-4/5)^2\\sin^2(x) = 1 - 16/25\\sin^2(x) = 9/25\)

sin(x) = ±√(9/25) = ±3/5

Since 180° < x < 270°, the sine value should be negative:

sin(x) = -3/5

Next, we can find tan(x) using the identity tan(x) = sin(x)/cos(x):

tan(x) = (-3/5) / (-4/5)

tan(x) = 3/4

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A system of two equations with two unknowns is given:

Notice that the variable y is isolated in the second equation. Then. we can solve the system using the substitution method by replacing y in the first equation by the expression from the second equation:

This way, we have obtained a single equation with one unknown that we can solve as usual. Solve for x:

Replace x=-1 into the equation for y to find its value:

Then, the solution to the system is x=-1 and y=-2. As an ordered pair (x,y), the solution point for the given system is:

Answer:

0.1

Step-by-step explanation:

f(x)=0.05(2)

f(x)= 0.1

Answer:

\(\textsf{Point-slope form}: \quad y-1=\dfrac{1}{5}(x-3)\)

Step-by-step explanation:

Define the given points:

Substitute the defined points into the slope formula to find the slope of the line:

\(\implies \textsf{Slope $(m)$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-1-1}{-7-3}-\dfrac{-2}{-10}=\dfrac{1}{5}\)

Substitute the found slope and one of the points into the point-slope formula:

\(\implies y-y_1=m(x-x_1)\)

\(\implies y-1=\dfrac{1}{5}(x-3)\)

Simplify to slope-intercept form, if necessary:

\(\implies y-1=\dfrac{1}{5}x-\dfrac{3}{5}\)

\(\implies y=\dfrac{1}{5}x+\dfrac{2}{5}\)

The height of the cat is solved to be

4 m

This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent

Examining the figure shows that pair of equivalent sides are

distance of the tree and the cat from the mirror

then height of the tree and height of the cat

The solution is worked out taking the proportions

distance of the tree from the mirror / distance of the cat from the mirror

=

height of the tree / height of the cat

plugging in the values

24/6 = 16 / height of the cat

height of the cat  = 16 * 6 / 24

height of the cat  = 4 m

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The probability of the data vale more extreme than 3.65 is 0.000131.

First of all given that x(value) = μ+3.65σ , where μ is the mean and σ is the standard deviation.

we know that z-score = (x - μ)/σ

z-score = (μ+3.65σ - μ)/σ

z = 3.65σ/σ

z = 3.65

From the normal distribution table,

P(z>3.65) = 0.000131

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To obtain a 90% confidence interval with an approximate margin of error of 0.04, the student organization would need to survey approximately 6,808 students.

In order to determine the sample size required to obtain a 90% confidence interval with an approximate margin of error of 0.04, we can use the formula:

\(n = (Z^2 * p * (1-p)) / E^2\)

where n is the sample size, Z is the Z-score for the desired confidence level (in this case, Z = 1.65 for a 90% confidence level), p is the estimated proportion of the population that would support the proposal (assuming p = 0.5 for simplicity), and E is the desired margin of error (E = 0.04 in this case).

Plugging in the values, we have:

\(n = (1.65^2 * 0.5 * 0.5) / 0.04^2\)

n = (2.7225 * 0.25) / 0.0016

n = 10.890625 / 0.0016

n = 6,807.890625

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Answer:

4x^2 - 4x - 19

Step-by-step explanation:

Given the following functions

f(x) = 2x^2 - 4x - 3

g(x) = 2x^2 - 16

f(x)+ g(x) =2x^2 - 4x - 3+ 2x^2 - 16

f(x)+ g(x) = 2x^2+2x^2 -4x - 3 - 16

f(x)+ g(x) =4x^2 - 4x - 19

Hence the required sum is 4x^2 - 4x - 19

The linear equation that passes through the points (14, 15) and (20, 24) crosses the y-axis at y = -6.

A general linear equation can be written as:

y = m*x + b

Where m is the slope and b is the y-intercept.

If the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope can be written as:

m = (y₂ - y₁)/(x₂ - x₁).

In this case the line passes through (14, 15) and (20, 24) so the slope is:

m = (24 - 15)/(20 - 14) = 9/6 = 3/2

y = (3/2)*x + b

To find the y-intercept we can replace the values of one of the points, like (14, 15)

15 = (3/2)*14 + b

15 = 3*7 + b

15 = 21 + b

15 - 21 = b

-6 = b

The y-intercept is -6.

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My forecast is that you will either enter the next market or, more likely, keep your existing position. These are the theories we have.

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A 95% confidence interval for percent of american adults who believe in aliens:  (0.6578, 0.7822)

In this question we have been given that in a survey conducted on an srs of 200 american adults, 72% of them said they believed in aliens

We need to find the 95% confidence interval for percent of american adults who believe in aliens.

95% confidence interval = (p ± z√[p(1 - p)/n])

Here, n = 200

p = 72%

p = 0.72

And the z-score for 95% confidence interval is 1.960

The upper limit of interval would be,

(p + z√[p(1 - p)/n])

= 0.72 + 1.960 √[0.72(1 - 0.72)/200]

= 0.72 + 1.960 √[(0.72 * 0.28)/200]

= 0.72 + 1.960 √0.001008

= 0.72 + 0.0622

= 0.7822

The lower limit of interval would be,

(p - z√[p(1 - p)/n])

= 0.72 - 1.960 √[0.72(1 - 0.72)/200]

= 0.72 - 1.960 √[(0.72 * 0.28)/200]

= 0.72 - 1.960 √0.001008

= 0.72 - 0.0622

= 0.6578

Therefore, a 95% confidence interval = (0.6578, 0.7822)

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The probability that the person has a tattoo is 230 out of 995.

We randomly select a person who responded to this survey. The calculation that gives the probability that the person has a tattoo is 230 out of 995.

Probability is a measure of the likelihood of a particular event occurring, typically expressed as a fraction or percentage.

The probability of an event occurring is calculated by dividing the number of favorable outcomes by the number of possible outcomes.

Therefore, the calculation that gives the probability that the person has a tattoo is 230 out of 995.

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Answer:

137

Step-by-step explanation:

Answer:

parallel

Step-by-step explanation:

all horizontal lines are parallel

Answer:Parallel and all horizontal lines are parallel

Step-by-step explanation:

Answer:

A = 55 in²

Step-by-step explanation:

We can consider the outside rectangle and subtract the indented rectangle.

area of outer rectangle = 7 × 10 = 70 in²

area of indented rectangle = 3 × 5 = 15 in²

A of figure = 70 - 15 = 55 in²

Answer:  (1) D. BE ≡ AD

               (2) B. AAS Postulate

               (3) B. RF

Step-by-step explanation:

1) Place the letters underneath each other and match them up

                                 B A E

                                 D E A

∠B = ∠D                 ∠A = ∠E                ∠E = ∠A

BA ≅ DE                  AE ≅ EA              BE ≅ DA

2)

      ∠V = ∠Y              Angles are congruent (given)

∠VWZ = ∠YWZ        Angles are congruent (def of ∠ bisector)

     WZ = WZ            Sides are the same (reflexive property)          

ΔWZV ≡ ΔWZY      Angle-Angle-Side (AAS) Postulate

3)   F ∴__________________∴ R

     Segment FR = RF is between ∠F and ∠R

Researchers conducted a study and obtained  the p-value is 0.30, which is higher than the common significance level of 0.05. This means that there is not enough evidence to reject the null hypothesis, but it does not mean that the null hypothesis is accepted.

Hence this statement is false.

When researchers conduct a study and obtain a p-value, they use it to make a decision regarding the null hypothesis.

However, a high p-value does not provide evidence to accept the null hypothesis.

Instead, it indicates that there is not enough evidence to reject the null hypothesis.
1. Researchers start with a null hypothesis (H0), which is a statement that there is no effect or relationship between variables being studied.

They also have an alternative hypothesis (H1), which is a statement that there is an effect or relationship between variables.
2. They collect data and perform statistical tests to calculate the p-value, which represents the probability of observing the test results (or more extreme results) assuming the null hypothesis is true.
3. The p-value is then compared to a pre-determined significance level (alpha), commonly set at 0.05 or 5%.

If the p-value is less than the significance level, researchers reject the null hypothesis in favor of the alternative hypothesis.
4. In this case, the p-value is 0.30, which is higher than the common significance level of 0.05.

This means that there is not enough evidence to reject the null hypothesis, but it does not mean that the null hypothesis is accepted.
5. Instead, researchers should say that they "fail to reject" the null hypothesis, meaning they cannot confidently conclude that the alternative hypothesis is true based on the data and analysis.

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We have that for the Question, it can be said that this is a way to approach the presentation

Generally we are asked to conduct a research on your car  using  reference

materials and Internet sites

While

Internet sites refers to sites on the net that gives detailed and affirmed information on  used cars

e.g www.cars.com

Now on the slides

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The domain of the given graph is (-4,4]

The elements that make up a function are its domain and range. A function's domain is the set of all potential input values, while its range is the range of possible output values.

"All the values" that are input into a function are referred to as the domain of a function. The collection of all potential inputs for a function is its domain. Think of this box as the f(x) = 2x function. The domain is only the collection of natural numbers when the input values are x = 1,2,3,4,..., and the values that are returned are referred to as the range.

Hence from the graph we get the domain as   (-4,4]

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Answer:

I'm gonna say false

GDP or Gross Domestic Profit is the money that is being spent/made inside the country. So it stands to reason that if people are spending more, the GDP would go up.

Hope this helps!

Answer:

250x + 525y ≤ 7800

no, 15 refrigerators and 8 pianos will not fit on the truck

Step-by-step explanation:

we know that x is the refrigerators and each one is 250 lbs

this can be written as 250x

we know that y is the pianos and each one is 525 lbs

this can be written as 525y

we also know that "no more than" is the same that as less than equal to

so this can be written as ≤

we can also say that the refrigerators and pianos has to be ≤ 7800

so now we have: 250x + 525y ≤ 7800

plug in 15 to x and 8 to y

250(15) + 525(8) ≤ 7800

3750 + 4200 ≤ 7800

7950 ≤ 7800

this statement is not true so no, 15 refrigerators and 8 pianos will not fit on the truck

Answer:

1) The car travels 623.333 kilometers with 85 liters of petrol.

2) The owner of the car must buy 135 liters of petrol at a total cost of $ 303.75 to travel 990 kilometers.

Step-by-step explanation:

1) The distance traveled by the car is directly proportional to the quantity of petrol. Then, we determine the distance needed by this simple rule of three:

\(x = \frac{85\,L}{45\,L}\times 330\,km\)

\(x = 623.333\,km\)

The car travels 623.333 kilometers with 85 liters of petrol.

2) The quantity of petrol is directly proportional to the traveled distance, which is directly proportional to cost. First, we calculate the quantity of petrol spent by the car:

\(x = \frac{990\,km}{330\,km}\times 45\,L\)

\(x = 135\,L\)

And the cost of 135 liters of petrol is:

\(y = 135\,L\times 2.25\,\frac{\$}{L}\)

\(y = \$\,303.75\)

The owner of the car must buy 135 liters of petrol at a total cost of $ 303.75 to travel 990 kilometers.

Answer:

20cm

Step-by-step explanation:

a square has 4 equally long sides.

when we know its perimeter, that means we know the sum of all 4 sides.

since all sides are equality long, we only need to divide the perimeter by 4 to get the length of an individual side.

80/4 = 20cm

Answer:

B

Step-by-step explanation: