points \text{a}astart text, a, end text and \text{b}bstart text, b, end text lie on a circle with radius 111, and arc \stackrel\frown{ab} ab ⌢ a, b, start superscript, \frown, end superscript has length \dfrac{\pi}{3} 3 π ​ start fraction, pi, divided by, 3, end fraction. what fraction of the circumference of the circle is the length of arc \stackrel\frown{ab} ab ⌢ a, b, start superscript, \frown, end superscript ?

The formula will return 5, because none of the conditions in the nested IF statement are true for the value of A1 being "C".

The formula =IF(A1="A",1,IF(A1="B",2,IF(A1="D",4,5))) is a nested IF statement that checks the value of cell A1 and returns a corresponding value based on the conditions.

In this case, the value of A1 is "C". Therefore, the first condition, A1="A", is not true, so the formula moves on to the second condition, A1="B". This condition is also not true, so the formula moves on to the third condition, A1="D". However, this condition is also not true, because the third condition has a typo, where there is an extra space before the "D". Therefore, the formula evaluates the final "else" option, which is 5.

Thus, the formula will return 5, because none of the conditions in the nested IF statement are true for the value of A1 being "C".

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Answer:

i can give you tuturing 1 on 1 if you give me brainliest

Step-by-step explanation:

30*4 =120 +50

30*9=270+50

By identifying and minimizing these uncertainties, it is possible to improve the accuracy of the data and obtain more reliable results.

Experimental uncertainties refer to the errors or variations that may occur in the process of conducting an experiment. There are several sources of experimental uncertainties that can affect the accuracy of the data, specifically:

1. Instrument uncertainties: These uncertainties arise from the limitations of the instruments used in the experiment. For example, if a measuring device has a limited resolution or if it is not properly calibrated, it can lead to inaccuracies in the measurements.

2. Operator uncertainties: These uncertainties arise from the variations in the way different people conduct the experiment. For example, if different people are measuring the same quantity, they may have different techniques, which can lead to variations in the measurements.

3. Environmental uncertainties: These uncertainties arise from the variations in the environment in which the experiment is conducted. For example, if the temperature or pressure of the environment changes during the experiment, it can affect the measurements.

Each of these sources of experimental uncertainties can affect the accuracy of the data by introducing errors or variations in the measurements. By identifying and minimizing these uncertainties, it is possible to improve the accuracy of the data and obtain more reliable results.

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Answer: 28

Step-by-step explanation:

28 is thhe missing number

Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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The linear correlation coefficient of the data is approximately 0.94.

The coefficient of determination (R²) represents the proportion of the variance in the dependent variable (y) that can be explained by the independent variable (x) in a linear regression model. The linear correlation coefficient (r) represents the strength and direction of the linear relationship between the two variables.

The relationship between R² and r is given by the equation:

R² = r²

Since the coefficient of determination is 0.88, we have:

0.88 = r²

Taking the square root of both sides, we find:

r = √(0.88) = 0.94

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In order to calculate the Mean Squared Error (MSE) for each region, you will need to have a dataset with values for each region.

Once you have this dataset, you can calculate the MSE using the following formula:

MSE = 1/n x ∑(yi - ŷi)²

where n is the number of data points in the region, yi is the actual value for the ith data point, and ŷi is the predicted value for the ith data point. Once you have calculated the MSE for each region, you can compare the values to determine if the variability around the fitted regression line is approximately the same for each region.

If the MSE values are similar for each region, then the variability around the fitted regression line is approximately the same. If the MSE values are different for each region, then the variability around the fitted regression line is not the same for each region.

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Answer:

its B

Step-by-step explanation:

i got it right on edge 2022

Answer:

The correct answer is B

Step-by-step explanation:

Answer:

B,because it says he wants to have

Aya can make 14 mats of 1 foot long.

Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"

Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.

Let can make x mats out of the given chain, since each mat is 1 foot long, so,

1×x =  14\(\frac{2}{5}\)

x = 72/5

x = 14.4

x ≈ 14

Hence, She can make 14 mats out of the given chain.

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The maximum area of a rectangle that is above the x-axis and below the graph of a parabola can be determined using calculus. The parabola is given by the equation y = ax^2 + bx + c, and the rectangle's dimensions are x (width) and y (height).

The area of the rectangle is given by A = xy. To find the maximum area, we need to find the maximum value of A. To do this, we can substitute the parabola equation for y in the area equation:
A = x(ax^2 + bx + c)
Next, we take the derivative of A with respect to x:
dA/dx = a(3x^2) + b(2x) + c
To find the critical points, we set dA/dx to zero:
0 = 3ax^2 + 2bx + c
Now, we solve for x to find the critical points. These points will help us determine where the maximum area occurs. After identifying the maximum point, we can substitute the x-value back into the parabola equation to find the corresponding y-value. Finally, the maximum area can be calculated by multiplying the obtained x and y values:
Max Area = x_max * y_max.

Hence, The maximum area of a rectangle that is above the x-axis and below the graph of a parabola can be determined using calculus. The parabola is given by the equation y = ax^2 + bx + c, and the rectangle's dimensions are x (width) and y (height).

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Answer:

$318.70

Step-by-step explanation:

To find the cost of one boxed lunch, we can divide the total cost of the 8 boxed lunches by the number of boxed lunches: 99.60 / 8 = $12.45.

To find the cost of 26 boxed lunches, we can multiply the cost of one boxed lunch by the number of boxed lunches: 26 * $12.45 = $<<26*12.45=318.70>>318.70. Answer: \boxed{318.70}.

Using algebraic equations:

Cost of 6 pen = Rs 72

Cost of 5 pencils = Rs 30.

Total cost = 30 + 72 = Rs 102.

Let the x be used to represent cost of pencil. Therefore, we would represent the situation using algebraic expressions as shown below:

Cost of pencil = x

Cost of pen = 2x

Cost of 5 pen = 5 × 2x = 10x

Cost of 6 pencils = 6 × x = 6x

We are given that the total cost of 5 pens and 6 pencils is Rs 96, therefore, the following algebraic equation would be written to find the value of x:

10x + 6x = 96

16x = 96

x = 6.

Cost of 6 pen = 6 × 2x = 6 × 2(6)

Cost of 6 pen = Rs 72

Cost of 5 pencils = 5(x) = 5(6)

Cost of 5 pencils = Rs 30.

Total cost = 30 + 72 = Rs 102.

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Answer: One way to find the total number of handshakes is to use a table of values to track the number of handshakes as the number of people in the meeting increases.

Number of People | Number of Handshakes

1 | 0

2 | 1

3 | 3

4 | 6

5 | 10

6 | 15

7 | 21

8 | 28

9 | 36

10 | 45

11 | 55

12 | 66

13 | 78

14 | 91

We can use the formula for the triangular number (n*(n-1))/2 where n is the number of people in the meeting.

So, total handshakes (14*13)/2 = 91

Step-by-step explanation:

Answer:

< 5 + < 6 = 180°

Step-by-step explanation:

The sum of angles 5 and 6 are 180° because they are adjacent supplementary angles--they have a common arm and a common vertex. The adjacent supplementary angles share the common line segment and vertex with each other. Two angles are also supplementary, if one of its angles is an acute angle and another angle is an obtuse angle. These characteristics match the given figure.

Therefore, < 5 and < 6 are supplementary angles, and have a sum of 180°.

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The solution to the linear function M(x) = 180 is of x = -5.

The linear function equation is the slope-intercept form. Thus, it is expressed as f(x) = mx + b where m is the slope and b is the y-intercept of the line.

In this problem, the function is defined as follows:

M(x) = 120 - 12x.

M(x) represents the balance remaining on the gift card after x movie tickets priced at $12 are purchased.

The domain of the situation is given as follows:

x ≥ 0. {discrete}

As the number of tickets cannot assume negative neither decimal values.

The equation is:

M(x) = 180.

The solution is calculated as:

120 - 12x = 180

12x = -60

x = -60/12

x = -5.

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Answer:

-x = -5 7/8

Step-by-step explanation:

7/8 - x = -5

(7/8 - 7/8) - x = -5 -7/8

-x = -5 7/8

The sum of the first 11 terms of the geometric sequence aₙ = 2aⁿ - 1 with an initial value of a₁ = 1/8 is -10.71.

Therefore the answer is -10.71.

The geometric sequence aₙ = 2aⁿ - 1 with an initial value of a₁ = 1/8 represents the amount of money saved after n years of investing.

So sum of n terms

Sn = 2a - 1 + 2a² - 1 + ... + 2aⁿ - 1

Sn = 2( a + a² + ... + aⁿ) - n

The sum of the first n terms of a geometric sequence aₙ = arⁿ⁻¹ with first term a₁ and common ratio r is given by the formula:

Sn = a₁(1 - rⁿ)/ (1 - r), that is

\(S_{n} = a_{1}\frac{ (1 - r^n)}{1 - r}\)

So a + a² + ... + aⁿ = a(1 - aⁿ)/ (1 - a)

Thus Sn = 2( a + a² + ... + aⁿ) - n

Sn = 2a(1 - aⁿ)/ (1 - a) - n

In this case, a₁ = a = 1/8 and n = 11

So the sum of the first 11 terms of the geometric sequence is:

Sn = 2×1/8×( 1 - (1/8)¹¹)/ (1 - 1/8) - 11

Sn = -10.71

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The dimensions of impulse are (M¹L¹T⁻¹).

Impulse is equal to force multiplied by time, or can be formulated as:

P = FT

where:

P = impulse

F = force

T = time

The dimensions of force and time are:

Dimension of Force: (M¹L¹T⁻²)

dimensions of Time: (T).

When you multiply these two quantities together, you get :

P = FT

P = (M¹L¹T⁻²) * (T)

P = (M¹L¹T⁻¹).

Therefore, the dimensions of impulse are (M¹L¹T⁻¹).

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The first step in writing the function in vertex form is (c) Write the function in standard form.

From the question, we have the following parameters that can be used in our computation:

f(x) = 6x² + 5 – 42x

To start with, the function must be rearranged to conform with the standard form of a quadratic function

Using the above as a guide, we have the following:

f(x) = 6x² – 42x  + 5

Hence, the first step in writing the function in vertex form is (c) Write the function in standard form.

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Answer:

Step-by-step explanation:

Let Michael's age be x and James' age be y

x  +  y  =  98        ------------------       (1)

x  -  y  =  22        -------------------       (2)

Adding (1) and (2) , we get ,

2x  =  120

x = 60 yrs
y = 98 - 60 = 38 yrs

Answer:

FE = 9 , DE = 15

Step-by-step explanation:

Δ FDE and Δ HGE are similar , then the ratios of corresponding sides are in proportion , that is

\(\frac{FE}{HE}\) = \(\frac{FD}{HG}\) ( substitute values )

\(\frac{FE}{6}\) = \(\frac{12}{8}\) ( cross- multiply )

8 × FE = 6 × 12 = 72 ( divide both sides by 8 )

FE = 9

and

\(\frac{DE}{GE}\) = \(\frac{FD}{HG}\)

\(\frac{DE}{10}\) = \(\frac{12}{8}\) ( cross- multiply )

8 × DE = 10 × 12 = 120 ( divide both sides by 8 )

DE = 15

The objective function formula that is nonlinear is - 2xy/2xy + z

From the question, we have the following parameters that can be used in our computation:

- 2xy/2xy + z

- x + y + z

- 3x - 2y + z

A linear function is a function that has a degree of 1

Other functions with other degrees are nonlinear

Using the above as a guide, we have the following functions with a degree of 1

- x + y + z

- 3x - 2y + z

Hence, the objective function formulas that is nonlinear is - 2xy/2xy + z

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Answer:

The correct option is the second option.

How to make a Box-and-whisker plot:

Solution explanation:

if you apply the rules of the boxplot above with both choices, the second lines up perfectly.

A circle is a curve sketched out by a point moving in a plane. The length of wx is 18 cm.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

Given the length of the circle's diameter, z is 72 cm, therefore, the length of zx(Radius) is 36cm. Since the length of yz is 30 cm, the length of xy is 6 cm.

Also, the length of the circle's diameter, w is 48 cm, therefore, the length of wy(Radius) is 24 cm. Since the length of xy is 6 cm, the length of wx will be equal to,

Length of wx = wy-xy = 24cm - 6cm = 18 cm

Hence, the length of wx is 18 cm.

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a. There are no real solutions to the equation. Therefore, there is no value of α for which P(-1 < X < 2) = 0.75.

b. The value of parameter α for  P(|X| < 1) = P(|X| > 2) is 4

a. We know that for a uniform distribution over (−α,α), the probability density function is given by f(x) = 1/(2α) for −α ≤ x ≤ α and zero otherwise. Thus, the probability of the event (-1 < X < 2) can be computed as:

P(-1 < X < 2) = ∫(-1)²/(2α) dx + ∫2²/(2α) dx

= (1/2α) ∫(-1)² dx + (1/2α) ∫2² dx

= (1/2α) [x]₋₁¹ + (1/2α) [x]²₂

= (1/2α) (2α - 1) + (1/2α) (4 - α²)

= (3 + α²)/(4α)

We want this probability to be 0.75. So, we solve the equation (3 + α²)/(4α) = 0.75 for α:

(3 + α²)/(4α) = 0.75

=> 3 + α² = 3α

=> α² - 3α + 3 = 0

This is a quadratic equation in α with discriminant:

Δ = b² - 4ac

= (-3)² - 4(1)(3)

= 9 - 12

= -3

Since Δ is negative, there are no real solutions to the equation. Therefore, there is no value of α for which P(-1 < X < 2) = 0.75.

b. The pdf of a uniform distribution is given by:

f(x) = 1/(b-a), for a ≤ x ≤ b

In this case, a = -α and b = α. Therefore,

f(x) = 1/(2α), for -α ≤ x ≤ α

Now we can calculate the probabilities as follows:

P(|X| < 1) = P(-1 < X < 1) = ∫(-1 to 1) f(x) dx = ∫(-1 to 1) 1/(2α) dx = 1/(2α) * [x]_(-1 to 1) = 1/α

P(|X| > 2) = P(X < -2 or X > 2) = P(X > 2) + P(X < -2) = ∫(2 to α) f(x) dx + ∫(-α to -2) f(x) dx = ∫(2 to α) 1/(2α) dx + ∫(-α to -2) 1/(2α) dx = 1/4

Therefore, we need to find α such that P(|X| < 1) = P(|X| > 2) = 1/4.

From P(|X| < 1) = 1/α, we get α = 1/P(|X| < 1) = 1/(1/4) = 4.

From P(|X| > 2) = 1/4, we get the same value of α = 4.

Hence, α = 4 satisfies both conditions.

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The true statement is, it is likely that Dr. Stats will get about 50% heads.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Given: Dr. Stats plans to toss a fair coin 10,000 times.

Heads and tails are equally likely to occur by chance, thus we expect about 5000 of the 10,000 tosses to result in heads and about 5000 of the 10,000 tosses to result in tails.

However, it is not necessarily exactly 5000, the number of heads/tails could vary about 5000, but is expected to be close to 5000 (actual number of heads/tails could be smaller or larger than 5000).

This then implies that we expect about 50% of all tosses to result in heads (and about 50% of all tosses to result in tails).

Hence, it is likely that Dr. Stats will get about 50% heads.

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We know that an arc is a part of the entire perimeter of a circle.

Radian is defined as a unit of plane angular measurement that is equal to the angle subtended by the circle at the center by an arc that is of the length equal to the radius

We also know that the circle as a whole contains 2π radians

we know that s=rΘ

S=rθ represents the central angle in radians and r is the length of the radius.

Thus we can say that radian measure of an angle theta is the length of the arc.

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