Hannah needs to calculate the cotangent of an angle. She uses the ratio
opposite leg
for her calculation. Did Hannah correctly calculate the cotangent of the angle?
adjacent leg
A
B.
Yes, Hannah correctly calculated the cotangent of the angle.
adjacent leg
No, Hannah should have used the ratio
opposite leg
hypotenuse
No, Hannah should have used the ratio
opposite leg
O c.
D.
No, Hannah should have used the ratio
adjacent leg
hypotenuse

Subtracting these elevations, their difference is 65,130 feet.

We find the difference subtracting these two elevations. They are given as follows:

The difference is given by:

29,028 - (-36,070).

Subtracting a negative number is the same as adding the positive number, hence:

29,028 - (-36,070) = 29,060 + 36,070 = 65,130.

The difference of these elevations is of 65,130 feet.

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Probability that the coin lands heads exactly 11 times is 0.1602 so Option a is correct.

Given:

an unbiased coin is tossed 20 times.

The probability that the coin lands heads exactly 11 times:

P = n(E)/n(S)

n(S) = 2^tosses

= 2^20

= 1048576

n(E) = C(20,11)

= 20!/11!(20-11)!

= 20!/11!*9!

= 167960

Probability P = 167960/1048576

= 0.16017 ≈ 0.1602

Therefore Probability that the coin lands heads exactly 11 times is 0.1602 so Option a is correct.

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answer

the answer is 200

Answer:200

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

follow the pattern  in its timetables,hope this helps u!

sketch of the line 4x + 3y = 11, slope (-4/3),  y-intercept of the line y = 11/3

Step 1: Convert the equation to slope-intercept form (y = mx + b) by solving for y:

3y = -4x + 11

y = (-4/3)x + 11/3

Step 2: Identify the slope and y-intercept:

From the equation in slope-intercept form, we can see that the slope (m) is -4/3 and the y-intercept (b) is 11/3.

Step 3: Plot the y-intercept:

On the y-axis, mark a point at y = 11/3 (approximately 3.67). This is the y-intercept of the line.

Step 4: Use the slope to find additional points:

Using the slope of -4/3, we can find other points on the line. The slope represents the change in y for every 1 unit change in x. So, starting from the y-intercept, we can move down 4 units and to the right 3 units to find the next point, and continue this pattern to find more points.

Step 5: Connect the points:

Once you have a few points on the line, you can connect them with a straight line. Make sure the line extends beyond the plotted points to show that it continues indefinitely.

The resulting line should have a negative slope (-4/3) and be slanting downward from left to right.

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The expression that represents the volume of the pyramid is V = (n³-n²)/3

A pyramid is a three-dimensional figure. It has a flat polygon base.

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

The volume of a pyramid is expressed as;

V = 1/3 base area × height.

base area = n× n = n²

height = n-1

Therefore the expression for the volume of a pyramid is

V = n² ( n-1) /3

V = (n³-n²)/3

therefore the expression is V = (n³-n²)/3

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Answer: 62

Step-by-step explanation:

Since the triangle adds to 180

Subtract the 2 angles from 180

put in your calculator 180-70-48=

x=62

Answer: The value of x is 184.

Step-by-step explanation:

According to the similar right angled triangle properties, the product of same side of triangles is equal to the another side product.

Now calculating the value of x for the given pair of similar​ triangles.

According to the given figure:

24 × (2x - 8) = 45 × (x + 8)

(24 × 2x) - (24 × 8) = (45 × x) + (45 × 8)

48x - 192 = 45x + 360

48x - 45x = 360 + 192

3x = 552

x = 184

Thus, the value of x is 184.

Answer:

1.3333333333333333 hrs

or

1 1/3

Step-by-step explanation:

9 1/3 over 7

28/3/7

1.3333

brainliest appreciated

The expression 1.6×10⁻⁷ can be computed as 0.00000016 in decimal notation. In scientific notation, 10⁻⁷ means moving the decimal point 7 places to the left, resulting in 0.00000016.

In scientific notation, numbers are expressed in the form of a decimal number multiplied by a power of 10. In the given expression, 1.6 represents the decimal number, and 10⁻⁷ indicates that we need to move the decimal point 7 places to the left.

To compute the expression, we start with the decimal number 1.6 and move the decimal point 7 places to the left. Each place we move the decimal point corresponds to multiplying the number by 10 raised to the power of -1. Thus, moving the decimal point 7 places to the left results in dividing the number by 10⁷.

1.6 ÷ 10⁷ = 0.00000016

Therefore, the expression 1.6×10⁻⁷ is equal to 0.00000016 in decimal notation.

Scientific notation is a way to express numbers that are very large or very small in a concise and standardized format. It is commonly used in scientific and mathematical calculations, as well as in expressing values in fields such as physics, chemistry, and astronomy. In scientific notation, a number is represented as a product of a decimal number (greater than or equal to 1 and less than 10) and a power of 10.

The power of 10 indicates the number of places the decimal point needs to be moved to obtain the original number. By using scientific notation, it becomes easier to work with extremely large or small numbers and to compare their magnitudes.

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Answer: 108

Step-by-step explanation:

144% of 75 =108

Explanation:

144% of 75 means

144% × 75

144/100 × 75

= 144 × 3/4 = 36 × 3 = 108

Heron's formula is used to calculate the area of a triangle. The formula is \(a = √s(s - a)(s - b)(s - c), where s = (a + b + c)/2\)and a, b, and c are the side lengths of the triangle.

We are given the side lengths of a triangle, 14 in, 26 in, and 31 in.

To find the area of the triangle, we first need to calculate the value of s using the formula:s = (a + b + c)/2where \(a = 14 in, b = 26 in, and c = 31 in.s = (14 + 26 + 31)/2 = 35.5 in\)

Next, we can substitute the values of a, b, c, and s into Heron's formula:\(a = √s(s - a)(s - b)(s - c)a = √35.5(35.5 - 14)(35.5 - 26)(35.5 - 31)a = √35.5(21.5)(9.5)(4.5)a = √58082.875a ≈ 241.1\)

The area of the triangle is approximately 241.1 in².

Rounding to the nearest tenth, we get 241.1 in².

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Answer: d. (if a polygon has congruent angles, then it is regular)

Step-by-step explanation:

Converses follow the format of "if q, then p" (while  the original conditional is "if p, then q")

Just because there are clouds does not mean its raining (cloudy days)

just because it has four equal sides does not make it a square (rhombi have four equal sides but are not squares)

just because you cannot see the sun does not mean it is not daytime (solar eclipses)

if a polygon is regular, it must have congruent angles

Answer:

y = 2x + 7

Step-by-step explanation:

Step 1: Find slope

m = (9 - 3)/(1 + 2)

m = 2

y = 2x + b

Step 2: Find b

9 = 2(1) + b

9 = 2 + b

7 = b

Step 3: Rewrite equation

y = 2x + 7

Answer:

B) y - 9 = 2(x - 1)

Step-by-step explanation:

(-2, 3) ;(1,9)

\(Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{9-3}{1-[-2]}\\\\=\frac{6}{1+2}\\\\=\frac{6}{3}\\\\=2\)

(1, 9 ) ;  m = 2

Equation: \(y - y_{1}=m(x - x_{1})\\\\\)

y - 9 = 2(x - 1)

y - 9 = 2x -2

      y = 2x - 2 + 9

      y = 2x + 7

The equation of the trend line is y = (-1/2)x + 14.

The overall pattern or trend in a collection of data is represented by a trend line, sometimes referred to as a regression line. In statistics, it is frequently used to illustrate the connection between two variables, one of which is the independent variable and the other the dependant variable. Regression analysis, which determines the line that most accurately fits the data points based on their connection, is used to compute the trend line. In order to anticipate or estimate future values of the dependant variable based on the independent variable, the equation of the trend line may then be utilised.

The slope of the line can be found using the formula:

slope = (change in y) / (change in x)

slope = (8 - 12) / (12 - 4)

slope = -4 / 8

slope = -1/2

Using the point slope form:

y - y1 = m(x - x1)

y - 12 = (-1/2)(x - 4)

y = (-1/2)x + 14

Hence, the equation of the trend line is y = (-1/2)x + 14.

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Answer:

C. 8 units.

Step-by-step explanation:

The maximum value of the cosine ( cos) function is 1

So, for y = 3cos(2x - 8) + 5

Maximum value  is 3 *1 + 5 = 8.

y = -3cos(2x - 8) + 5 is the above graph reflected in the y axis so the maximum value is also 8.

The probabilities of different events related to the type B' blood in four randomly selected people from the United States are 0.000207, 0.0600,  0.400. The events in parts (a) and (b) are considered unusual.

The probability that a person in the united states has type b* blood is 12%. four unrelated people in the united states are selected at random of different scenarios are calculated.

The probability that all four have type B' blood is 0.000207, The probability that none of the four have type B' blood is 0.0600, The probability that at least one of the four has type B' blood is 0.400, The events in parts (a) and (b) can be considered unusual because their probabilities are less than or equal to 0.05.

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_____The given question is incomplete, the complete question is given below:

The probability that a person in the United States has type B' blood is 12 % Four unrelated people in the United States are selected at random Complete parts (a) through (d) The probability that all four have type B' blood is 000207 (Round to six decimal places as needed) (b) Find the probability that none of the four have type B' blood The probability that none of the four have type B' blood is 0600 (Round to three decimal places as needed) (c) Find the probability that at least one of the four has type B' blood The probability that at least one of the four has type B' blood is 400 (Round to three decimal places as needed) (d) Which of the events can be considered unusual? Explain Select all that apply OA The event in part (a) is unusual because its probability is less than or equal to 0.05 OB. The event in part (c) is unusual because its probability is less than or equal to 0.05 O C. None of these events are r uual O D. The event in part (b) is unusual because its probability is less than or equal to 0.05 Click to select your answer and then click Check Answer

Answer:

I think it's 6 because there are 6 sides that make up the cube, hopefully I'm right.

Answer:

All the lines put 10 above it

Step-by-step explanation:

All the dimensions (Number of squares) Are equal to ten

We need to set the function equal to zero.

x² - 3x - 10 = 0

x = 5

x = -2

The answer is -2, 5

The equation of the line in point slope form is y - b = -3/4 (x - a), where (a, b) is a point on the line.

Equation of a line in point slope form is y - y₁ = m(x - x₁), where m is the slope of the line and (x₁, y₁) is a point on the line.

Given that slope, m = -3/4.

It is not given a point that the line passes through.

Let (a, b) be a point that the line passes through.

Substituting these in the point slope form,

y - y₁ = m(x - x₁)

y - b = -3/4 (x - a)

After simplifying we can write it as,

y - b = -3/4x + 3/4a

y = -3/4 x + (3/4a + b)

Hence the equation of the line is found.

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On solving the provided question, we can say that the equation is

\(\\(x+3)^2 + (y-6)^2 = 9\)\(\\(x+3)^2 + (y-6)^2 = 9\),  \((q^4)^z = q^12\)x = 3 and x = 7 and q = 1

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

the equation is

\(\\(x+3)^2 + (y-6)^2 = 9\)

\(\\(x+3)^2 + (y-6)^2 = 9\)

\((q^4)^z = q^12\)

x = 3 and x = 7 and q = 1

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(a) Median: Stays the same at 503.

The correct answer is option 3.

(b) Mean: Increases to approximately 503.11.

The correct answer is option 2.

To answer the given questions, let's analyze the effect of changing the number 388 to 433 in the list of trading cards.

(a) The median is the middle value when the data is arranged in ascending order. Since the list is already ordered from least to greatest, the current median is the number in the middle, which is 503.

When we change 388 to 433, the new list becomes: 398, 433, 441, 482, 503, 523, 532, 548, 568.

Now, the median is the middle value in the new list. As we can see, the number that occupies the middle position is still 503. Therefore, the median stays the same.

(b)  The mean, also known as the average, is calculated by summing all the values and dividing by the total number of values.

The sum of the original list is 388 + 398 + 441 + 482 + 503 + 523 + 532 + 548 + 568 = 4183.

After changing 388 to 433, the new sum becomes 433 + 398 + 441 + 482 + 503 + 523 + 532 + 548 + 568 = 4528.

To find the new mean, we divide the new sum by the total number of values, which is 9.

The original mean is 4183/9 ≈ 464.78.

The new mean is 4528/9 ≈ 503.11.

Therefore, the mean increases from approximately 464.78 to approximately 503.11 when the number 388 is changed to 433.

When the number 388 in the list of trading cards owned by 9 middle-school students is changed to 433, the median remains the same at 503 making option 3 the correct answer .This means that the middle value of the data set remains unchanged. However, the mean, which is the average value, increases from approximately 464.78 to approximately 503.11 making option 2 the correct answer. This is due to the higher value introduced by replacing 388 with 433 in the calculation of the mean.

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The question probable may be:

The numbers of trading cards owned by 9 middle-school students are (Note that these are already ordered from least to greatest.) given below. 388, 398, 441, 482, 503, 523, 532, 548, 568 Suppose that the number 388 from this list changes to 433. Answer the following.

(a) What happens to the median?

1. It decreases by

2. It increases by

3.  It stays the same

(b) What happens to the mean?

1. It decreases by

2.  It increases by

3.  It stays the same.

Answer:

600

Step-by-step explanation:

Volume=l*b*h=5*12*10=600

The 87% confidence interval for the population proportion of drivers who claim to always buckle up is approximately 0.73 to 0.81.

To determine the Z-score for an 87% confidence level, we need to find the critical value associated with that confidence level. We can consult a Z-table or use a statistical calculator to find that the Z-score for an 87% confidence level is approximately 1.563.

Now, we can substitute the values into the formula to calculate the confidence interval:

CI = 0.768 ± 1.563 * √(0.768 * (1 - 0.768) / 382)

Calculating the expression inside the square root:

√(0.768 * (1 - 0.768) / 382) ≈ 0.024 (rounded to three decimal places)

Substituting the values:

CI = 0.768 ± 1.563 * 0.024

Calculating the multiplication:

1.563 * 0.024 ≈ 0.038 (rounded to three decimal places)

Substituting the result:

CI = 0.768 ± 0.038

Simplifying:

CI ≈ (0.73, 0.81)

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The methods used to analyze data produced by scientific studies are called statistics. Option (c) is correct.

What are experiments and how do we analyze them using statistics?

Experiments are procedures or methods carried out under controlled conditions to discover a new fact or to test or  establish a hypothesis  that already exists.

From experiments we generate certain scientific data but to analyze data we need statistics.

Statistics is a process of collecting and analyzing and interpreting data.

Therefore the methods used to analyze data produced by scientific studies will be done by statistics.

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Answer:

Step-by-step explanation: Hello,

the answer

There are 23 small prints, 264 medium prints ,188 large prints and 42 extra large prints which are being sold by Mr. Carandang.

Given that there is total sales of 1790 prints of one of the drawings by Mr, Caradang. Out of which 1273 unframed prints, 152 were small, 544 were medium. Out of the framed prints 23 were small,42 were extra large. Out of large prints 188 were framed, 496 were unframed.

We are required to find the number of small prints,medium prints, large .extra large in total and  total framed print of the drawings.

Total framed print=Small print+Medium print+Large print+Extra large print

=23+264+188+42

=517

Unframed print:

Small=152

Medium=544

Large=496

Extra large=81

Total unframed print=Small+Medium+large+extra large

=152+544+496+81

=1273.

Hence there are 23 small prints, 264 medium prints ,188 large prints and 42 extra large prints which are being sold by Mr. Carandang.

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There are 1365 ways to distribute the 12 identical books among 5 students.

To determine the number of ways 12 identical books can be distributed among 5 students, we can use the concept of "stars and bars."

Imagine we have 12 identical books represented by stars (************). We need to distribute these stars among 5 students, and the bars "|" will represent the divisions between students.

For example, if we have a distribution like this: **|****|***|**|****, it means that the first student received 2 books, the second student received 4 books, the third student received 3 books, the fourth student received 2 books, and the fifth student received 4 books.

The number of ways to distribute the books can be found by determining the number of ways to arrange the 12 stars and 4 bars. In this case, we have a total of 16 objects (12 stars and 4 bars), and we need to arrange them.

The formula to calculate the number of arrangements is given by:

C(n + r - 1, r)

where n is the number of stars (12 in this case) and r is the number of bars (4 in this case).

Using the formula, we have:

C(12 + 4 - 1, 4) = C(15, 4)

= (15! / (4! × (15-4)!))

= (15! / (4! × 11!))

Evaluating this expression, we find:

(15 × 14 × 13 × 12) / (4 × 3 × 2 × 1) = 1365

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104 ft^2

Explanation:

The surface areaa of a rectangular prism is given by the formula:

2 (lw + hl + hw)

l = length

w = width

h = height

Substitute the formula with the givsn dimensions:

2 ([6 x 2] + [5 x 6] + [5 x 2])

= 2 (12 + 30 + 10)

2 (52)

= 104

So the SA is 104 square feet or ft^2

Hope this helps!

Hey!!

Solution,

3x^2+6x

take the common,

3x(X+2)

hope it helps

Good luck on your assignment