math experts. Can somebody help please.

Answer:

91

Step-by-step explanation:

You add the two measures of the intercepted arcs and divide by 2 to get the measure of the central angle.

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Answer:

91

Step-by-step explanation:

You add the two measures of the intercepted arcs and divide by 2 to get the measure of the central angle.

Hope this helped!! Please leave a rating and/or mark me the BRAINLIEST!!! Thank You :)

Planets around other stars can be detected by carefully measuring the "brightness" or "light intensity" of stars.

When a planet orbits a star, it causes a slight change in the brightness or light intensity of the star. This is known as the transit method of planet detection. As the planet passes in front of the star from our line of sight, it blocks a small portion of the star's light, causing a temporary decrease in its brightness. By carefully measuring these changes in brightness over time, scientists can infer the presence and characteristics of planets orbiting the star. This method has been instrumental in the discovery of numerous exoplanets in recent years.

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Answer: Volume is 64 m³

Step-by-step explanation: In cubical box all sides have equal length.

Lets mark length of side a. So base is a square which area is a² = 16 m²2² and

lenght of a = √(16 m²) = 4 m . Volume of cube is a³

Answer:

i don't know what is the answer but i try

Answer:

We have the sentence:

"X by the power of 5 times y to the power of 6 over 2 by the power of -2 times x by the power of 0times x by the power of 9"

Let's break it into parts.

"X by the power of 5 times y to the power of 6..."

This can be written as:

x^5*y^6

"...  2 by the power of -2 times x by the power of 0times x by the power of 9"

This can be written as:

2^(-2)*x^(0)*x^(9)

And we have the quotient between the first thing and the second thing, then the equation is:

\(\frac{x^5*y^6}{2^{-2}*x^0*x^9}\)

And any number by the power of 0 is equal to 1, then:

x^0 = 1, then we can rewrite the equation as:

\(\frac{x^5*y^6}{2^{-2}*x^9}\)

We can keep simplifying this.

We know that:

a^(-n) = (1/a)^(n)

Then:

2^(-2) = (1/2)^2 = 1/4

Then we get:

\(\frac{x^5*y^6}{2^{-2}*x^9} = \frac{x^5*y^6}{x^9}*4\)

And we also know that:

a^n/a^m = a^(n - m)

Then:

\(\frac{x^5*y^6}{x^9}*4 = 4*y^6*\frac{x^5}{x^9} = 4*y^6*x^{5 - 9} = 4*y^6*x^{-4} = \frac{4*y^6}{x^4}\)

And we can't simplify this anymore.

Multiplying the numerator and the denominator by the same constant, we get an equivalent fraction, as follows:

Then, -6/4 is equivalent to -3/2

Answer:

x = $3.5

y = $2.25

z = $1.5

Step-by-step explanation:

let x = price of a hotdog

y = price of a drink

z = price of a pretzel

according to the question:

Davis family spends: 3x+2y+z = $16.50 (equation 1)

Ruiz family spends: 4x+4y+2z = $26      (equation 2)

Cho family spends: 2x+y+3z = $13.75     (equation 3)

from eq. 1

z = 16.50-3x-2y

substituting in eq.2

4x+4y+2(16.50-3x-2y) = 26

4x+4y+33-6x-4y=26

-2x=26-33

thus x = $3.5

from eq. 3

y = 13.75-2x-3z

y = 13.75-2(3.5)-3z

y = 13.75-7-3z

y=6.75-3z

thus,

z = 16.50-3(3.5)-2(6.75-3z)

z = 16.50-10.5-13.5+6z

z-6z = -7.5

-5z = -7.5

thus z = $1.5

thus

y = 6.75-3(1.5)

y = $2.25

Answer:

coordinates are (x,y)->(x+6,y+2)

F's coordinate is (3,0)

using the coordinates we get (9,2)

Therefore the coordinates are (9,2)

The required coordinates of vertex H are (6,2).

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.

Given that triangles DFE and EHG are similar.

This means that the ratios of the lengths of their corresponding sides are equal.

As per the question, we have:

DF/FH = DE/EG

Since DF = 3 and DE = 1, we can set up the following equation to find the length of FH:

FH = EG × (DF/DE)

Substituting the known values, we get:

FH = EG × (3/1)

As we know that EG = 6, we can substitute this value to find that FH = 18.

The coordinates of F are (3,0) and the coordinates of H are (x,y), we can set up the following equations to find the values of x and y:

x - 3 = 18

y - 0 = 2

Solving these equations, we find that x = 21 and y = 2.

Thus, the coordinates of vertex H are (6,2).

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Amanda and Diana given right solution set.

The solution set of given graph of inequality is,

x < 4.

Now, The solution of given created inequality,

Amanda:-  -3x + 5 > -7

       => -3x> -7 -5

       => - 3x > -12

        => 3x < 12

         => x < 4

So, it is correct

Briana:- 1/2 (2x - 4)> 2

       => 2x - 4  > 4

       => 2x > 8

       => x > 4

It is wrong

Courtney:-   -7x+8 > -3x + 24

      =>   -7x + 3x > 24 - 8

      => -4x > 16

      => 4x < -16

     => x < -4

It is wrong

Diana:- 9x -6 < 3x + 18

         => 9x - 3x < 18 + 6

         => 6x < 24

       => x < 4

So, it is right

Hence, Amanda and Diana given right solution set.

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The yy-component of vector a a is -y-direction, which is equal to 0 m/s2.the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.

Given a vector, a⃗ a→ = (5.0 m/s2, −y−direction)Find the yy -component of the given vector a⃗ a→.Solution: The yy-component of the given vector a⃗ a→ = -y-directionTo find the yy-component of the given vector a⃗ a→, we have to take the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.Therefore, the yy-component of vector a⃗ a→ is :a_yy = -y-direction = (-1)(0) = 0 m/s²  Answer: 0 m/s².

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The yy-component of vector a⃗ a→ is -y-direction.

The yy-component of a vector represents the magnitude of the vector in the y-direction.

In this case, the vector a⃗ a→ is given as (5.0 m/s2, −y-direction).

Since the yy-component is the magnitude in the y-direction, the yy-component of the vector a⃗ a→ is -y-direction.

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As per the required total time taken by one person to complete a task from beginning to end without taking into any account holidays, time off, or any other project work is known as Work effort estimate.

As given in the question,

Total time taken by one person to complete the task with conditions:

-: From beginning to end no holiday.

-: No time off

-: no other project work

A. Duration estimate represents the time taken to complete any project.

Incorrect option.

B. Work effort estimate represents the point clearly mentioned to what is required to complete the task.

Here clearly mentioned all the points .

Correct option.

C .  Bottom-up estimate represents estimates for individual components of work that are designed to rolled up into the overall estimate.

Incorrect option.

D. Parametric estimate represents the different parameters like total cost , time and resources required for the project.

Incorrect option.

Therefore, for the required total time taken by one person to complete a task from beginning to end without taking into any account holidays, time off, or any other project work is known as Work effort estimate.

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Answer:

The answer would be y = 5x + 3

Step-by-step explanation:

When a data value is converted to a standardized scale representing the number of standard deviations the data value lies from the mean, we call the new value a Z-Score.

In statistics, each mathematical formula and each element has an internationally recognised name. This is to ensure that everyone in the world understands what every researcher has to say in every letter. A statistic that tells the number of standard deviations a data value is above or below the mean is called a z-score. And its formula is, Z = (X − μ)/σ

where, μ--> population mean,

σ --> population standard deviation and

x --> the raw-score.

Hence, when a data value is converted to a standardized scale, new value, Z-Score is representing the number of standard deviations the data value lies from the mean.

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The probability of getting someone in the 18-21 age bracket or someone who refused to respond is approximately 0.34 or 34%.

To find the probability of getting someone in the 18-21 age bracket or someone who refused to respond, we need to add the probabilities of these two events happening.

First, let's find the probability of getting someone in the 18-21 age bracket. Out of the total 374 people contacted, 88 are in this age bracket. So the probability of getting someone in this age bracket is 88/374.

Next, let's find the probability of getting someone who refused to respond. Out of the total 374 people contacted, 13 in the 18-21 age bracket and 26 in the 22-29 age bracket refused to respond. So the total number of people who refused to respond is 13+26=39. Therefore, the probability of getting someone who refused to respond is 39/374.

Finally, we add these two probabilities to get the probability of getting someone in the 18-21 age bracket or someone who refused to respond:

88/374 + 39/374 = 127/374

total is 0.34% or 34%

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The difference in Adult cats a the pet care center on Monday and Saturday is 3.

ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio.

let the total number of cats be p.

total shares = 4 + 3 which is 7

number of ca on Saturday = 3/7 x p

so that

3/7 x p = 24

3p/7 = 24

cross multiply

3p = 24 x 7

3p = 168

p = 168/3

p = 56

Number of Adult cats = 56 - 24 which is 32

difference in number of cat between Saturday and Monday is 35 - 32 = 3

In conclusion 3 is the difference between the number of Adult cats on Saturday and Sunday

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Answer:

13) ?=90°

14) ?=180°-48° (int angles, u//v)

=132°

15) ?=93° (alt angles, u//v)

16) ?=96° (alt angles, u//v)

Answer:

13: 90°

14: 132°

15: 87°

16: 84°

Step-by-step explanation:

Just subtract the value given from 180

Hope this helps!

Answer:

Step-by-step explanation: Given that, The sum of two numbers is 60

ie, 1st no + 2nd no = 60

Let us assume that 1st no is ‘x’

then x + 2nd no = 60

=> 2nd no = 60 - x

According to question, 3 times the number is 12 more than the other

=> 3 * 1st no = 12 + 2nd no

=> 3 * x = 12 + (60 - x)

=> 3x = 12 + 60 - x

=> 3x + x = 72

=> 4x = 72

=> x = 72 / 4

=> x = 18

So 1st no = 18

And 2nd no = 60-x = 60–18 = 42

Varification:

=> 3 * 1st no = 12 + 2nd no

=> 3 * 18 = 12 + 42

=> 54 = 54

Varified

Ans: 18 and 42

1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

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Answer:

26. QOR = 59 - 24

= 25

27. POS = 19+31+15

=65

28. ROS = 46 - (61-28)

= 13

Answer:

L = 60

Step-by-step explanation:

Darling, the slope is 2/1

Hope this help~

All real values of p and q such that the set of all linear combinations of u = (1, p, −1) and v = (3, 2, q) is a plane in R^3 is p - 2q = 3.

For a set to be all of R^2, its span must be all of R^2. In other words, any point in R^2 can be written as a linear combination of the vectors in the set.

The set of all linear combinations of u = (−3, p) and v = (2, 3) is given by:

span{(−3, p), (2, 3)}

For a vector (a, b) to be in the span, we need to find scalars c and d such that c(−3, p) + d(2, 3) = (a, b).c(-3, p) + d(2, 3) = (a, b) = (-3c + 2d, pc + 3d)

Thus, we need to solve the system of equations:

c(-3) + d(2) = acp + 3d = b

For the set to span all of R^2, we must be able to solve this system of equations for any (a, b).This is only possible if the system of equations has no restrictions on c and d. That is, the determinant of the matrix of coefficients must not be zero.

This means: -3(3) - 2(2) = -11 ≠ 0

Thus, the set of all linear combinations of u = (−3, p) and v = (2, 3) spans all of R^2 for all values of p.

In conclusion, all real values of p such that the set of all linear combinations of u = (−3, p) and v = (2, 3) is all of R^2.

For a set to be a plane in R^3, its span must be a plane in R^3. In other words, any point in the plane can be written as a linear combination of the vectors in the set.

The set of all linear combinations of u = (1, p, −1) and v = (3, 2, q) is given by:

span{(1, p, −1), (3, 2, q)}

For a vector (a, b, c) to be in the span, we need to find scalars d and e such that

d(1, p, −1) + e(3, 2, q) = (a, b, c).d(1, p, −1) + e(3, 2, q) = (a, b, c) = (d + 3e, dp + 2e, −d + eq)

Thus, we need to solve the system of equations:

d + 3e = a dp + 2e = b −d + eq = c

For the set to be a plane in R^3, the system of equations must have restrictions on d and e. That is, the determinant of the matrix of coefficients must be zero. This means:

-1(-2q) - 1(3) + p(2) = 0 ⇒ p - 2q = 3

Thus, the set of all linear combinations of u = (1, p, −1) and v = (3, 2, q) spans a plane in R^3 if and only if p - 2q = 3.

In conclusion, all real values of p and q such that the set of all linear combinations of u = (1, p, −1) and v = (3, 2, q) is a plane in R^3 is p - 2q = 3.

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Answer:

See below

Step-by-step explanation:

Part A: $125 is constant.

PART B: Earning depends on hour

By using unit conversion and direct proportionality model, we find that 45 bushels of soybeans are equal to a weight of 1.225 tonnes.

In this question we have an application of direct proportionality model, whose form is shown below:

y = k · x     (1)

Where:

If we know that x = 45 bu and k = 1/36.744, then the soybean quantity in tonnes is:

y = (1/36.744 t/bu) · (45 bu)

y = 1.225 t

By using unit conversion and direct proportionality model, we find that 45 bushels of soybeans are equal to a weight of 1.225 tonnes.

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Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Answer:

Step-by-step explanation:

x -4  , 3x-11 , 5x - 18 ,.......

first term = a = x -4

Common difference (d) = second term  - first term

                                =  3x -11 - [ x - 4]

                                = 3x - 11 - x + 4

                                = 3x - x - 11 + 4

                                 = 2x - 7

nth term = a + (n-1)*d

12th term = x - 4 + 11*(2x - 7)

               = x - 4 + 11*2x  - 7 *11

                = x - 4 + 22x - 77

                =x + 22x - 4 - 77

                = 23x - 81

The measure of angle ∠L is 18.14° or 0.32 radians. Then the correct option A.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.

A 9.5 feet pole casts a shadow that is 29 feet long.

Perpendicular = 9.5 feet

Base = 29 feet

The angle is given by the tangent. The tangent is given as

\(\rm tan \ \theta = \dfrac{Perpendicular }{Base}\)

Then we have

\(\rm tan \ \theta = \dfrac{9.5}{29}\\\\tan \ \theta = 0.3276\\\\\theta \ \ \ \ \ = tan ^{-1} 0.3276\\\\\theta \ \ \ \ \ = 18.14^o \ or \ 0.32 \ rad\)

The measure of angle ∠L is 18.14° or 0.32 radians. Then the correct option A.

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Answer:

A on Edge

Aka 0.32 rad

Step-by-step explanation:

Next one is:

Solve the equation where the sine of 30 degrees is equal to YZ/50.Solve 180 – (30 + 90) = 60 to find the measure of angle Z. Then use the cosine of Zto write and solve an equation.Use the 30°-60°-90° triangle theorem to find that YZ = 50/2.

(a) The 95% confidence interval for the population mean of the treatment group is [7.02, 10.98].

(b) To calculate Cohen's d, we need the standard deviation of the sample. Using the given sample scores, the standard deviation is approximately 2.68. Cohen's d is then (9 - 8.31) / 2.68 = 0.26, indicating a small effect size.

(c) To perform a hypothesis test, we compare the sample mean of 8.31 (obtained from the given sample scores) with the population mean of 9. Using a t-test, assuming a significance level of 0.05 and a two-tailed test, we calculate the t-value as (8.31 - 9) / (2.68 / sqrt(6)) = -0.57. The critical t-value for a 95% confidence level with degrees of freedom of 5 (n-1) is 2.571. Since |-0.57| < 2.571, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a significant difference between the population mean of the treatment group and the mean of the general population.

(d) Bayesian factor (BF) represents the strength of evidence for one hypothesis over another. Without specific information about the alternative hypothesis, we cannot compute a Bayesian factor in this case.

(a) To compute a 95% confidence interval for the population mean of the treatment group, we can use the formula:

Confidence Interval = sample mean ± (t-value * standard error)

From the given sample scores, the sample mean is (10 + 7 + 9 + 6 + 10 + 12) / 6 = 8.31. The t-value for a 95% confidence level with degrees of freedom 5 (n-1) is 2.571. The standard error can be calculated as the sample standard deviation divided by the square root of the sample size.

Using the sample scores, the sample standard deviation is approximately 2.68. The standard error is then 2.68 / sqrt(6) ≈ 1.09.

Plugging in the values, the 95% confidence interval is 8.31 ± (2.571 * 1.09), which gives us [7.02, 10.98].

(b) Cohen's d is a measure of effect size, which indicates the standardized difference between the sample mean and the population mean. It is calculated by subtracting the population mean from the sample mean and dividing it by the standard deviation of the sample.

In this case, the population mean is given as 9. From the sample scores, we can calculate the sample mean and standard deviation. The sample mean is 8.31, and the standard deviation is approximately 2.68.

Using the formula, Cohen's d = (sample mean - population mean) / sample standard deviation, we get (8.31 - 9) / 2.68 ≈ 0.26. This suggests a small effect size.

(c) To perform a hypothesis test, we can compare the sample mean of the treatment group (8.31) with the mean of the general population (9) using a t-test. The null hypothesis assumes that the population mean of the treatment group is equal to the mean of the general population.

Using the sample scores, the standard deviation is approximately 2.68, and the sample size is 6. The t-value is calculated as (sample mean - population mean) / (sample standard deviation / sqrt(sample size)).

Plugging in the values, the t-value is (8.31 - 9) / (2.68 / sqrt(6)) ≈ -0.57. The critical t-value for a 95% confidence level with 5 degrees of freedom (n-1) is 2.571.

Since |-0.57| < 2.571, we fail to reject the null hypothesis. This means there is not enough evidence to suggest a significant difference between the population mean of the treatment group and the mean of the general population.

(d) Bayesian factor (BF) represents the strength of evidence for one hypothesis over another based on prior beliefs and data. However, to compute a Bayesian factor, we need specific information about the alternative hypothesis, which is not provided in the given question. Therefore, we cannot calculate a Bayesian factor in this case.

(a) The 95% confidence interval for the population mean of the treatment group is [7.02, 10.98].

(b) Cohen's d suggests a small effect size, with a value of approximately 0.26.

(c) The hypothesis test does not provide enough evidence to suggest a significant difference between the population mean of the treatment group and the mean of the general population.

(d) A Bayesian factor cannot be computed without information about the alternative hypothesis.

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