Someone help and plz make sure it’s right :)

Answer:

6 < x < 30

Step-by-step explanation:

The angle of the side AB = 48 degrees

the angle of the side AD = 2x - 12 degrees

If the angle AD is greater than zero;

  2x -12 > 0

= 2x > 12

= x > 12/ 2

= x > 6

if the maximum angle of AD is equal to angle AB, then;

= 2x -12 = 48

 2x = 48 + 12

2x/ 2 = 60 / 2

x = 30

Therefore, the range of x is; 6 < x < 30

Answer:

264

Step-by-step explanation:

if you take away 57 from 264 you get 207

so x is 264

The confidence interval for the proportion of registered voters who believe illegal immigrants who have lived in the United States since they were children should be eligible for legal citizenship is 0.5998 to 0.6602.

To analyze the results of the poll, we can use the given information to calculate the confidence interval.

Given:

- Sample size (n): 904 registered voters

- Proportion who answered "should be" eligible for legal citizenship (p): 63%

- Margin of error (E): 3%

- Confidence level: 95%

To calculate the confidence interval, we can use the formula:

Confidence Interval = p ± (Z * √((p * (1 - p)) / n))

First, let's find the critical value (Z) corresponding to a 95% confidence level. Since the confidence level is 95%, the alpha level (α) is 1 - 0.95 = 0.05. Dividing this by 2 (for a two-tailed test), we have α/2 = 0.025. Looking up this value in the Z-table, we find that the critical value Z is approximately 1.96.

Next, we can substitute the values into the formula and calculate the confidence interval:

Confidence Interval = 0.63 ± (1.96 * √((0.63 * (1 - 0.63)) / 904))

Confidence Interval = 0.63 ± (1.96 * √((0.63 * 0.37) / 904))

Confidence Interval = 0.63 ± (1.96 * √(0.23211 / 904))

Confidence Interval = 0.63 ± (1.96 * 0.0154)

Confidence Interval = 0.63 ± 0.0302

Therefore, the confidence interval for the proportion of registered voters who believe illegal immigrants who have lived in the United States since they were children should be eligible for legal citizenship is approximately 0.5998 to 0.6602.

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Answer:

0.19 50% 15/20 9/10 95%

Step-by-step explanation:

I know

Answer:

2

Step-by-step explanation:

Answer:

94 children, 64 students, and 47 adults attended the movie theater.

Step-by-step explanation:

Let; a be for adults, s for students, and c for children.

Make a system to solve for the amount of people.

c/a = 2

a + 2a + s = 205

3a + s = 205

Simplify.

s = 205 - 3a

s = 205 - 3a

c = 2a

Plug it in.

5c + 7s + 12a = 1482

10a + 7(205 -3a) + 12a = 1482

10a + 1435 - 21a + 12a = 1482

a + 1435 = 1482

a = 47

Substitute.

c = 2(47)

c = 94

Solve.

s = 205 - 3(47)

s = 64

Step-by-step explanation:

Use the form (a + b)(a - b) = a^2 - b^2:

(2x^4 + 3x^3)(2x^4 - 3x^3) = 4x^8 - 9x^6.

Answer:

Step-by-step explanation

C

A 2x3x2 factorial design has three independent variables. What is a factorial design? A factorial design is an experimental design that studies the impact of two or more independent variables on a dependent variable.

The notation of a factorial design specifies how many independent variables are used and how many levels each independent variable has. In a 2x3x2 factorial design, there are three independent variables, with the first variable having two levels, the second variable having three levels, and the third variable having two levels.

The number of treatments or conditions required to create all feasible combinations of the independent variables is equal to the total number of cells in the design matrix, which can be computed as the product of the levels for each factor.

In this case, the number of cells would be 2x3x2=12.Therefore, a 2x3x2 factorial design has three independent variables and 12 treatment groups..

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Answer:

x+y-3+6

or

x+y+3

Answer:

A or D

Step-by-step explanation:

because I dont know what the experiment is just that it was grown differently

Answer:

x = 111°

Step-by-step explanation:

Angles in a triangle add up to 180

180 - (29+82) = 69

Angles on a straight line add up to 180

180 - 69 = 111

Answer:

111°

Step-by-step explanation:

the sum of the outer angles of a triangle is alway 180

so 180-82-29= 69°

180-69= 111°

Part A

p = 0.32 = probability of someone voting by internet

n = 13 = sample size

x = 10 = number of people who voted by internet

Apply the binomial probability formula.

\(P(x) = (_n C _x)*(p)^{x}*(1-p)^{n-x}\\\\P(10) = (_{13} C _{10})*(0.32)^{10}*(1-0.32)^{13-10}\\\\P(10) = (286)*(0.32)^{10}*(0.68)^{3}\\\\P(10) \approx 0.0010124942242\\\\P(10) \approx \textbf{0.00101}\\\\\)

Note: the \(_n C_x\) refers to the combination formula.

=============================================================

Part B

We could apply the binomial theorem for the following values of x: {10,11,12,13}. Then would add up the results.

However, such a task is fairly tedious and it's more efficient to use computer software (or a graphing calculator). Also, there's the element of limited time that you'll need to consider. I showed the steps for part A above because your teacher may have wanted you to list them. Usually it's better to rely on software for that task as well. At the very least, it's useful to have software to check your answer.

Whichever method you use, you should find the following:

The last value isn't exactly 0, but it's so small that it's effectively zero. This is because we only have 5 decimal places to work with.

Add up those four values to get:

\(P(x \ge 10) = P(10)+P(11)+P(12)+P(13)\\\\P(x \ge 10) \approx 0.00101+0.00013+0.00001+0\\\\P(x \ge 10) \approx 0.00115\\\\\)

A faster shortcut is to use your calculator's binomCDF function.

This result of 0.00115 is fairly small. The usual distinction we make between whether a probability is small or not is to set up some kind of threshold. This threshold is known as the significance level. By default, it's set to 0.05 unless your teacher specifies otherwise. Another common significance level is 0.01, but it's usually mentioned.

Since 0.00115 is smaller than 0.05, and even 0.01, we consider the probability of getting 10 or more internet voters to be a significant event. It's fairly unusual to get 10 or more people voting by internet in this sample of n = 13 people.

=============================================================

Part C

Like with part B, we could find the binomial probability values for x = {1,2,3,...,11,12,13}. We could add up the values like I did, or use the binomCDF function which is faster.

Another approach is to use the complement of the event "at least 1". If x is some number in the set {0,1,2,..,12,13}, then either \(x = 0\) or \(x \ge 1\)

From this, we can say

\(P(x=0) + P(x \ge 1) = 1\\\\P(x \ge 1) = 1-P(x=0)\\\\P(x \ge 1) \approx 1-0.00665\\\\P(x \ge 1) \approx 0.99335\\\\\)

This then rounds to 0.993

Answer:

Step-by-step explanation:

x is increasing by 2

y is decreasing by 4

Rise over run:

-4/2 --> -2

Answer: I believe the answer is -2

Answer:

$110.2

Step-by-step explanation:

$76 × 45%

$34.2

$76 + $34.2

$110.2

Answer:

Mean: 1.962963

Median: 2

Mode: 1.666666667, 2

Step-by-step explanation:

(A) The equation of the tangent line at x = 1 is y = -64x + 50.

(B) The tangent line is horizontal at x = 0 and x = 9.

(A) The equation of the tangent line at x = 1 is calculated as follows;

The given function;

f(x) = 2x⁴ - 24x³ + 8

The derivative of the function

f'(x) = 8x³ - 72x²

f'(1) = 8(1)³ - 72(1)²

f'(1) = 8 - 72

f'(1) = -64

The y-coordinate of the point on the curve at x = 1.

f(1) = 2(1)⁴ - 24(1)³ + 8

f(1)  = 2 - 24 + 8

f(1)  = -14

The point on the curve at x = 1 is (1, -14), and

The slope of the tangent line at that point is -64.

The equation of the tangent line is calculated as;

y - (-14) = -64(x - 1)

y + 14 = -64x + 64

y = -64x + 50

(B) The value(s) of x where the tangent line is horizontal is calculated as follows;

8x³ - 72x² = 0

x²(8x - 72) = 0

x² = 0

x = 0

8x - 72 = 0

8x = 72

x = 9

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SOLUTION

Given the question in the question tab, the following are the solution steps to get the rental cost for each movie and each video game.

Step 1: Write the representation for the two rentals

Let m represents movies

Let v represent video games

Step 2: Write the statements in form of a mathematical equation

Step 3: Solve the equations above simultaneously using elimination method to get the values of m and v

Rental cost for each movies is $3.25

Rental cost for each video games $5.50

Answer: Uh, hurray?

Step-by-step explanation: I can do 100 in a minute

Answer:

um are you saying i have to do this?

Step-by-step explanation:

n o not happening i've never been good at push-ups

Answer:

false

Step-by-step explanation:

The statement "Construct validity ensures that the measure includes an adequate and representative set of items." is true because researchers can determine the extent to which a measure has construct validity and whether it includes an adequate and representative set of items.

Construct validity is established by accumulating evidence through various means. One way to establish construct validity is by examining the content of the measurement tool. This involves carefully selecting items that represent the construct of interest.

In mathematical terms, we can think of construct validity as a process of creating a mathematical model that accurately reflects the construct being measured. This model should include a comprehensive set of items that adequately represent the construct.

In practice, researchers employ statistical techniques such as factor analysis to examine the relationships between the items and the construct.

Construct validity also involves assessing the convergent and discriminant validity of the measure. Convergent validity refers to the degree to which different items measuring the same construct are positively related to each other.

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m∠MAR is 68°. Answer: 38°.

What is the angle bisectors?

In geometry, an angle bisector is a line or ray that divides an angle into two equal parts. More formally, given an angle ABC, an angle bisector is a line or ray AD such that it divides the angle ABC into two equal angles: ∠ABD ≅ ∠CBD.

Since ray AT bisects ∠MAR, we know that m∠MAT + m∠RAT = m∠MAR.

Substituting the given values, we get:

(4x - 5)° + (2x + 7)° = m∠MAR

Simplifying and solving for x, we get:

6x + 2° = m∠MAR

Now, we know that the sum of the angles in a triangle is 180°. So:

m∠MAT + m∠RAT + m∠MAR = 180°

Substituting the given values and the expression we found for m∠MAR, we get:

(4x - 5)° + (2x + 7)° + (6x + 2°) = 180°

Simplifying and solving for x, we get:

x = 11°

Finally, we can substitute x = 11° into the expression we found for m∠MAR:

6x + 2° = 6(11°) + 2° = 68°

Hence, m∠MAR is 68°. Answer: 38°.

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Considering that point y splits segment xz, the value of variable a is given by a = 4.

Point y splits segment xz into two parts, hence the length of segment xz can be given by the following equation:

xz = xy + yz.

The measures are given as follows:

Hence, we replace into the equation and solve for a.

xz = xy + yz

6a + 24 = 7a + 5a

12a = 6a + 24

6a = 24

a = 24/6

a = 4.

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Given that the periodic function f(t) is explained with the alternative Fourier coefficients.  A1∠θ1= 3∠5°, A4∠θ4= 4∠4° and the frequency, ωo = 1000radHz.We know that a periodic function can be expressed as the sum of sine and cosine waves.

The Fourier series represents a periodic function as a sum of an infinite series of sines and cosines. This representation can be expressed mathematically as,

f(t) = a0 + Σ[an cos(nω0t) + bn sin(nω0t)]Here, ωo is the angular frequency of the waveform. a0, an, and bn are the Fourier coefficients and are expressed as follows; a0 = (1/T) ∫T₀f(t) dt an = (2/T) ∫T₀f(t)cos(nω₀t) dt bn = (2/T) ∫T₀f(t)sin(nω₀t) dt

where T₀ is the period of the waveform, and

T

= n T₀ is the interval over which the Fourier series is to be computed. In this case, the values of a1 and a4 have been given, A1∠θ1

= 3∠5° and

A4∠θ4

= 4∠4°. Hence the expression of the function is,  f(t)

=  a0 + 3cos(ω0t + 5°) + 4cos(4ω0t + 4°) where,

ω0 = 1000 rad/s. This is the required expression of the function f(t).

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I'm guessing 90cm ?? I'm not sure

The volume of the cone without a base made from a quarter-circle is 27π³/5.

Given that a cone without a base is made from a quarter-circle. The base of the cone is a circle of radius 3 cm. We are to find the volume of the cone.To find the volume of the cone, we need to know the radius of the cone, height of the cone and apply the formula for the volume of a cone, which is given by V = 1/3πr²h.

As the radius of the base of the cone is 3 cm, then the circumference of the base of the cone is given byCircumference, C = 2πr = 2 × π × 3 = 6π cmIf a quarter-circle is used to form the cone, the radius of the quarter-circle is equal to the circumference of the circle. Hence the radius of the quarter-circle is 6π/4 = 3π/2 cm.The slant height, l of the cone can be found using the Pythagorean theorem.l² = (r + h)² + r²l² = (3π/2 + h)² + 3²From the figure above, we can form a right-angle triangle using the slant height, radius, and height of the cone.

Hence,l² = r² + h²l² = 3² + h²But r = 3π/2,l² = (3π/2)² + h²l² = 9π²/4 + h²Equating the two equations gives9π²/4 + h² = (3π/2 + h)² + 9h²9π²/4 + h² = 9π²/4 + 6πh + h² + 9h²9π²/4 - 9π²/4 = 6πh + 10h²h(6π + 10h) = 0h = 0 or h = -6π/10Rejecting h = 0 as an extraneous solution, we obtain h = 3π/5.Substituting the value of h into the equation for the slant height, l givesl² = (3π/2 + 3π/5)² + 3²l² = (15π/10 + 9π/10)² + 9l² = (24π/10)² + 9l² = 576π²/100 + 9l²The volume of the cone is given byV = 1/3πr²h = 1/3π(3)²(3π/5)V = 9π²/5(3/1) = 27π³/5.

Therefore, the volume of the cone is 27π³/5. Hence, the volume of the cone without a base made from a quarter-circle is 27π³/5.

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Answer:

3.667+ 2

Step-by-step explanation:

Area of a rectangle = length x width

11x + 10 = (3x +5) x width

to determine the width, divide both sides of the equation by 3x + 5

(11x + 10) / (3x + 5) = width

width = 3.667 + 2

Answer:

B

Step-by-step explanation:

The standard form of a circle equation is:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center and r is the radius.

We can plug in the given values to get:

(x - 1)^2 + (y - 2)^2 = 3^2

This is the sam as option B

The correct order of the steps in the scientific method is: observation, hypothesis, experiment, result, and conclusion

The correct order of the steps in the scientific method is as follows:

e. Observation - Start by making observations or gathering information about a particular phenomenon or problem. This involves carefully observing and noting relevant details and patterns.

b. Hypothesis - Based on the observations, formulate a hypothesis, which is a proposed explanation or prediction that can be tested through experimentation.

c. Experiment - Design and conduct experiments or investigations to test the hypothesis. This step involves carefully controlling variables, collecting data, and performing measurements.

a. Result - Collect and analyze the data obtained from the experiments or investigations. This analysis helps determine if the results support or reject the hypothesis.

d. Conclusion - Draw a conclusion based on the analysis of the data. Evaluate whether the results support the hypothesis and discuss the implications and significance of the findings. The conclusion may also involve suggesting further research or revisions to the hypothesis.

The scientific method is a systematic approach used in scientific inquiry to investigate and understand the natural world. It allows researchers to gather evidence, test hypotheses, and draw reliable conclusions based on empirical data.

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Answer:

FDG=NMP

Step-by-step explanation:

You can see below that the bases DG and MP are equal, and one of the saides DF and NM are equal, and D=P, so the triangles are the same, you can also see the triangles are isosceles, so they are the same since NM=FD=FG=NP and FD=NM is shown in the picture