To test the claim that snack choices are related to the gender of the consumer, a survey at a ball park shows this selection of snacks purchased. Test the claim using a significance level of 0.05.

Hotdog

Peanuts

Popcorn

Male

30

60

45

Female

25

25

40

The height of the cliff is approximately 551.04 feet.

We may use trigonometry, and more specifically the tangent function, to resolve this issue. The ratio of the adjacent side's length to the opposite side's length is known as the tangent of an angle.

In this instance, the cliff's base is 1183 feet in height and the angle of elevation is 25.24 degrees. Let's use "h" (in feet) to represent the cliff's height.

The tangent function gives us:

tan(25.24°) = h / 1183

To find the value of h, we can rearrange the equation:

h = tan(25.24°) * 1183

Now we can calculate the height of the cliff:

h ≈ tan(25.24°) * 1183

Using a calculator, the approximate value is:

h ≈ 0.4664 * 1183

h ≈ 551.04 feet

Therefore, the height of the cliff is approximately 551.04 feet.

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In general, to evaluate the function f(x) at a specific value of x, we substitute that value into the expression for f(x) and simplify.

In mathematics, a function is a relation between two sets, where for every element in the first set (called the domain), there is exactly one element in the second set (called the range) that the function maps to. In simpler terms, a function is a rule that assigns each input value from the domain to exactly one output value in the range. Functions are usually represented by a formula or equation that describes the relationship between the input and output values. For example, the function f(x) = 2x + 1 maps every input value of x to an output value that is twice the input value plus 1.

Here,

To evaluate the function f(x) = 4x - 6, we substitute the given values of the independent variable into the expression for f(x) and simplify.

For example:

f(0) = 4(0) - 6 = -6

f(1) = 4(1) - 6 = -2

f(2) = 4(2) - 6 = 2

f(-1) = 4(-1) - 6 = -10

f(3a) = 4(3a) - 6 = 12a - 6

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\(\huge\boxed{10}\)

\(\sqrt{100}\) means that you are looking for the number that, when multiplied by itself, produces \(100\). That number is \(10\), because \(10\cdot10=100\), meaning that \(\sqrt{100}=10\).

The Length of AD is 78 cm.

From the figure, G is Centroid.

The point in which the three medians of the triangle intersect is known as the centroid of a triangle.

It is also defined as the point of intersection of all the three medians. The median is a line that joins the midpoint of a side and the opposite vertex of the triangle.

The centroid of the triangle separates the median in the ratio of 2: 1.

Centroid divides median in the ratio 2:1 .

As per the given data AG = 52

2 parts is 52 .

3 parts is (52 × 3 )/2= 78

Therefore, the length of AD is 78.

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Answer:

original is : 14.281

rounded is: 14.3

Step-by-step explanation:

To investigate whether there is convincing evidence, at a 5 percent level of significance, that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle, the researcher should use a linear regression t-test.

1. The researcher collects data on hand length and 100-meter freestyle completion time for twenty randomly selected swimmers.
2. Calculate the correlation coefficient (r) to measure the strength and direction of the relationship between hand length and freestyle completion time.
3. Perform a linear regression analysis to obtain the slope (b) and the y-intercept (a) of the best-fit line.
4. Conduct a linear regression t-test to determine if the slope (b) is significantly different from zero at a 5 percent level of significance.
5. If the t-test results in a p-value less than 0.05 (5 percent level of significance), there is convincing evidence that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle.

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Answer:

2 questions

Step-by-step explanation:

40 x 95 = 38

40 - 38 = 2

Answer:

B) 43.758

Step-by-step explanation:

Starting from the right side of the decimal point, the places are:

tenths

hundredths

thousands

Each time, you add a zero to the previous number (10 to 100 to 1000, etc), therefore the third decimal would be the thousandths place. If the next figure is a 5 or above, you round up, to the next decimal.

Step-by-step explanation:

10xy^2-5by^2+2ax^2-abx =

5y²(2x -b) + ax(2x -b) =

(5y²+ax) (2x-b)

Answer:

10xy^2

Step-by-step explanation:

10xy ^ 2-5by ^ 2 + 2ax ^ 2-abx

(10xy^2-5by^2)+(2ax^2-abx)

=5y² (2x -b) + ax (2x -b)  

=( 5 y ² + ax ()2 x--b

Answer:

\(6(7-3y)+6(y+1) = - 12y + 48\)

Step-by-step explanation:

Given

\(6(7-3y)+6(y+1)\)

Required

Determine the equivalent expression

We have:

\(6(7-3y)+6(y+1)\)

Open brackets

\(6(7-3y)+6(y+1) = 6 * 7 - 6 * 3y + 6 * y + 6 * 1\)

\(6(7-3y)+6(y+1) = 42 - 18y + 6y + 6\)

Collect like terms

\(6(7-3y)+6(y+1) = - 18y + 6y + 6 + 42\)

\(6(7-3y)+6(y+1) = - 12y + 48\)

Answer:

c ) 6(-12x+10)

Step-by-step explanation:

6(-12x+10)

-72x+60

The expressions equivalent to -72x + 60 are:

A: -12(6x - 5)

C: 6(-12x + 10)

D: -6(-12x - 10)

We have,

To determine which expressions are equivalent to -72x + 60, we can simplify each expression and compare them.

Let's simplify the given expressions:

A: -12(6x - 5)

Distributing the -12:

-12 * 6x - 12 * (-5)

-72x + 60

B: -12(-6x - 5)

Distributing the -12:

72x + 60

C: 6(-12x + 10)

Distributing the 6:

-72x + 60

D: -6(-12x - 10)

Distributing the -6:

72x + 60

From the simplifications, we can see that expressions A, C, and D are equivalent to -72x + 60.

Therefore,

The expressions equivalent to -72x + 60 are:

A: -12(6x - 5)

C: 6(-12x + 10)

D: -6(-12x - 10)

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Answer: Here ya go.

Step-by-step explanation:

The penny can land two ways. The nickel can land two ways. The dime can land two ways. The quarter can land two ways. The total number of ways that all of them can land is (2x2x2x2)= 16 possibilities. Only ONE result shows no heads . . . TAIL-TAIL- TAIL-TAIL. All of the other 15 possibilities include at least one HEAD. So the probability is 15/16 = 93.25% .

Answer: I believe 90 degrees

Step-by-step explanation: Please give brainliest if correct

Answer:

A

Step-by-step explanation:

Group like-terms, that is move the numbers to one side of the sign.

Then, divide both sides by 2

The equations/functions that represent the graphed line are: 1. f(x) = 1/2x + 2

2. y - 1 = 1/2(x + 2)

3. y - 3 = 1/2(x - 2)

To determine which equations/functions represent the graphed line, we need to compare the given options with the characteristics of the graph. The equation of a line can be determined based on its slope and y-intercept.

1. The equation f(x) = 1/5x - 4 does not match the slope-intercept form of the graphed line (y = mx + b), so it is not correct.

2. The equation f(x) = 1/2x + 2 matches the slope-intercept form with a slope of 1/2 and a y-intercept of 2. This equation represents the graphed line and is correct.

3. The equations y - 3 = 1/2(x - 2) and y - 1 = 1/2(x + 2) are both in point-slope form and have a slope of 1/2. By rearranging the equations, we can see that they represent the same line with different y-intercepts. Both equations are correct.

Therefore, the equations/functions that represent the graphed line are: f(x) = 1/2x + 2, y - 1 = 1/2(x + 2), and y - 3 = 1/2(x - 2).

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Answer:

C

Step-by-step explanation:

Because the ratio between 128 and -32 is the same as the ratio between -32 and 8

Answer:

C

Step-by-step explanation:

The sequence has a common ratio r between consecutive terms

r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-32}{128}\) = - \(\frac{1}{4}\)

r = \(\frac{a_{3} }{a_{2} }\) = \(\frac{8}{-32}\) = - \(\frac{1}{4}\)

Thus the sequence is geometric with common ratio r = - \(\frac{1}{4}\)

Answer:

As you may already know, water drops that fall from the cloud are considered "rain".

The Sun's heat turns the moisture or water from leaves, plants, rivers, lakes, and oceans - and turns it into gas or also called, vapor. This water vapor then turns into gas and disappears into the air. When it gets mixed with the air, it cools down. When it cools down, it changes into small water drops, which then form a cloud. These small water drops join together with other water drops to create larger and bigger water drops.

You may know this now because this is the easiest part. What happens when something gets heavy or is over-filled? It falls down, right?

So, the large drops from water fall down as they get too heavy for the cloud to carry. These big droplets falling down on us are called Rain.

The inflection points are (0, 3) and (1, 1). However, since the second derivative does not change sign at these points, they are not inflection points. Therefore, the answer is: DNE

To determine where the function is concave upward or downward, we need to find the second derivative and analyze its sign. For the function g(x) = 4x^3 - 6x^2 + 9x - 4, first, find the first derivative: g'(x) = 12x^2 - 12x + 9 Next, find the second derivative: g''(x) = 24x - 12

Now, find the intervals where g''(x) > 0 (concave upward) and g''(x) < 0 (concave downward): g''(x) > 0 => 24x - 12 > 0 => x > 1/2 g''(x) < 0 => 24x - 12 < 0 => x < 1/2

So, the function is concave upward on the interval (1/2, ∞) and concave downward on the interval (-∞, 1/2). To find the inflection point, we need to check the point where the concavity changes, which is x = 1/2: g(1/2) = 4(1/2)^3 - 6(1/2)^2 + 9(1/2) - 4 = -1/4

Thus, the inflection point is at (1/2, -1/4). For the function g(x) = 2x^4 - 4x^3 + 3, find the first and second derivatives: g'(x) = 8x^3 - 12x^2 g''(x) = 24x^2 - 24x

To find the inflection points, set the second derivative to zero: 24x^2 - 24x = 0 => 24x(x - 1) = 0 This yields two possible inflection points at x = 0 and x = 1: g(0) = 3 g(1) = 2 - 4 + 3 = 1.

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You can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).

To calculate the probability P(1 < z < 2) for a standard normal random variable, we can use the cumulative distribution function (CDF) of the standard normal distribution.

The CDF gives us the probability that a standard normal random variable is less than or equal to a given value. We can use this information to calculate the probability between two values.

Let's denote the CDF of the standard normal distribution as Φ(z). The probability P(1 < z < 2) can be calculated as follows:

P(1 < z < 2) = Φ(2) - Φ(1)

To calculate this, we need to look up the values of Φ(2) and Φ(1) from a standard normal distribution table or use a calculator/computer software. However, since I don't have access to real-time computations in this environment, I am unable to provide the exact numerical value.

But you can use statistical software or online calculators to find the precise value. Alternatively, you can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).

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Answer:

1.125 seconds

Step-by-step explanation:

As we know that acceleration = Final velocity- Initial Velocity

                                                          Time taken

a=v-u

     t

t=v-u

   a

In this case, Time taken= \(\frac{9.5-4}{4}\)

\(=\frac{4.5}{4}\\=1.125\) seconds

Answer:

Step-by-step explanation:

Statement:    

Reason:

I added a screenshot of what the triangle would look like. The side lengths don't matter so don't pay attention to that.                

Answer:

∡ABC=Right∡, ∠A=90°, m∠B= 45°

m∠C=180-90-45

m∠C=45°  

Step-by-step explanation:

The vector orthogonal to the plane through the points P, Q, and R is (8, -8, 12), and the area of triangle PQR is \($\sqrt{301}$\).

For part (a), we can find a nonzero vector orthogonal to the plane through the points P, Q, and R by constructing a normal vector to the plane using the cross product of two vectors in the plane. The two vectors in the plane are \($\vec{PQ} = (1- (-2), 0-1, 1-3) = (3, -1, -2)$\) and \($\vec{PR} = (1-4, 0-2, 1-5) = (-3, -2, -4)$\). Taking the cross product of the two vectors gives us the normal vector to the plane, \($\vec{n} = \vec{PQ} \times \vec{PR} = (8, -8, 12)$\). Therefore, the vector orthogonal to the plane is \($\vec{n} = (8, -8, 12)$.\)

For part (b), the area of triangle PQR can be found using the formula for Heron's Formula, which states that the area of a triangle with sides a, b,and c is given by

\($A = \sqrt{s(s-a)(s-b)(s-c)}$\)

where \($s = \frac{a+b+c}{2}$\) . In this case, the sides are \($a = \|\vec{PQ}\| = \sqrt{3^2 + (-1)^2 + (-2)^2} = \sqrt{14}$, $b = \|\vec{QR}\| = \sqrt{(-2-4)^2 + (1-2)^2 + (3-5)^2} = \sqrt{14}$\), and\($c = \|\vec{PR}\| = \sqrt{(-3)^2 + (-2)^2 + (-4)^2} = \sqrt{29}$\). Plugging these values into the formula, we get

\(= \sqrt{s(s-a)(s-b)(s-c)} = \sqrt{\frac{7(7-\sqrt{14})(7-\sqrt{14})(7-\sqrt{29})}{4}} = \sqrt{7(7-\sqrt{14})^2(7-\sqrt{29})} = \sqrt{7(7-\sqrt{14})^2(\sqrt{14}+\sqrt{29})} = \sqrt{7(7-\sqrt{14})^2\sqrt{43}} = \sqrt{301}$\)Therefore, the area of triangle PQR is \($\sqrt{301}$\)

The vector orthogonal to the plane through the points P, Q, and R is (8, -8, 12), and the area of triangle PQR is \($\sqrt{301}$\).

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Given the following question:

We know AC, DF, and GI are parallel

Since we know FE is equal to DE

Then it's a easy assumption that JF is equal to JD since they are porportional and similar.

JD or the fourth option is your answer.

Answer:

please help me please yh the picture and answers

Given:

Number of 100-meter races = 5

The time it took Isabella to complete each race, in seconds, was 12.7, 12.807, 12.78, 12.08, and 12.087.

To find:

The decimals in order from greatest to least.

Solution:

The time it took Isabella to complete each race, in seconds, was shown below:

12.7, 12.807, 12.78, 12.08, 12.087

We need to arrange this data in descending order.

In all 5 numbers the digits before decimals are same. On comparing the digits on the tenth place and hundredth place, we get

12.807 > 12.78 > 12.7 > 12.087 > 12. 08

Therefore, the required order of given data is 12.807, 12.78, 12.7, 12.087, 12. 08.

Step-by-step explanation:

6×(2.5)+1.5

15+1.5

16.5

or

f(x)= 6x+1.5

f(2.5)= 6(2.5)+15

f(2.5)=16.5

You're welcome please add me as ur friend and brainiest please

None of the graphs shows the solution set for the given inequality, so it may be written incorrectly or maybe there are some graphs not shown in the image.

Here we have the inequality:

4x - y ≤ - 6

If we isolate the variable y, we get:

4x + 6 ≤ y

First, because of the symbol "≤" we know that we will have a solid line (the points on the line are also solutions).

We also can see that we have a positive slope

y ≥ 4x + 6

Also we can see that the y-intercept is 6, now the problem is that none of the graphs meets the 3 conditions.

So there is no correct option, which means that there may be a mistake in the inequality you wrote.

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