Three interior angles of a quadrilateral have measures of 111, 134, and 64. Find the fourth angle measure

Answer:

The standard deviation of the measurements is 0.2859

Step-by-step explanation:

n = number of terms = 5

We first find the mean, u

mean = sum of the values of terms / number of terms

\(u = (4.54 + 4.89+5.23+5.12+4.70)/5\)

u = 4.896

Finding standard deviation, S

\(S = \sqrt{(Sum(x-u)^2/(n-1)}\)

Finding the sum, we have,

\(Sum(x-u)^2 = (4.54-4.896)^2 + (4.89 - 4.896)^2 + (5.23 - 4.896)^2+(5.12 - 4.896)^2+(4.70 - 4.896)^2\\Sum(x-u)^2 = 0.32692\)

Now, then S will be,

\(S = \sqrt{(Sum(x-u)^2/(n-1)}\\S = \sqrt{0.32692/(4)}\\\\S = 0.2859\)

Hence the standard deviation is 0.2859

The probability that Sara will pick a blue marker is 3/20.

What is probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Math's to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen.

Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.

Given,

the box contains red markers = 5

blue marker = 3

purple marker = 9

pink markers = 3

Total number of markers = 20

The probability that she picks blue marker = 3/20

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Step-by-step explanation:

you can simply multiply things out.

4/9 × y = 8/3

4y = 9×8/3 = 3×8 = 24

y = 6

or you could have transformed the right hand side into a fraction of the same denominator (9) :

8/3 = 8/3 × 3/3 = (8×3)/(3×3) = 24/9

4/9 × y = 24/9

that means 4y = 24

y = 6

The total cost of financing the $2,300 large screen TV over 30 months with a fixed installment simple interest loan at a rate of 3.5% interest is $2,555.50.

Supporting Answer: To calculate the total cost of financing the $2,300 large screen TV over 30 months with a fixed installment simple interest loan at a rate of 3.5% interest, we need to consider the formula for calculating simple interest:

Simple Interest = Principal * Rate * Time

Given that the principal (P) is $2,300, the rate (R) is 3.5%, and the time (T) is 30 months, we can substitute these values into the formula:

Simple Interest = $2,300 * 0.035 * 30

= $2415

The simple interest for financing the TV is $2415. Adding this to the original purchase price gives us the total cost:

Total Cost = Principal + Simple Interest

= $2,300 + $2415

= $5550.50

Therefore, the total cost of financing the $2,300 large screen TV over 30 months with a fixed installment simple interest loan at a rate of 3.5% interest is $2,555.50.

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Answer: amplitude

Step-by-step explanation: The amplitude represents half the distance between the maximum of a sine or cosine graph.

The solution is Option B.

The amplitude represents half the distance between the maximum of a sine or cosine graph

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the distance between the maximum of a sine or cosine graph be A

Now , the maximum of sine graph is when θ = 90°

So , sin 90° = 1

The sine function ranges between -1 and 1, so the minimum is -1 and the maximum is 1

And , the maximum of cos graph is when θ = 360°

So , cos 360° = 1

Maximum value of cos θ is 1 when θ = 0˚, 360˚. Minimum value of cos θ is –1 when θ = 180 ˚.

Hence , amplitude represents half the distance between the maximum of a sine or cosine graph

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The general solution in both vector and scalar form is as follows:

Vector form:

\(\[\mathbf{x} = c_1\mathbf{v}_1e^{\lambda_1t} + c_2\mathbf{v}_2e^{\lambda_2t}\]\)

Scalar form:

\(\[\begin{aligned}x &= c_1v_{11}e^{\lambda_1t} + c_2v_{21}e^{\lambda_2t} \\y &= c_1v_{12}e^{\lambda_1t} + c_2v_{22}e^{\lambda_2t}\end{aligned}\]\)

What are eigenvalues?

Eigenvalues are a concept in linear algebra that are used to analyze the properties of linear transformations or matrices. In simple terms, eigenvalues represent the scaling factors by which a vector is stretched or compressed when it is transformed by a linear transformation or multiplied by a matrix.

To find the general solution for the given system of differential equations:

\(\[\begin{aligned}x' &= -6x + 5y \\y' &= -5x - 4y\end{aligned}\]\)

We can rewrite the system in matrix form as follows:

\(\[\mathbf{x'} = \begin{bmatrix} -6 & 5 \\ -5 & -4 \end{bmatrix} \mathbf{x}\]\)

where \($\mathbf{x} = \begin{bmatrix} x \\ y \end{bmatrix}$.\)

To find the general solution, we need to find the eigenvalues and eigenvectors of the coefficient matrix\($\begin{bmatrix} -6 & 5 \\ -5 & -4 \end{bmatrix}$.\)

The characteristic equation is given by:

\(\[\det(\mathbf{A} - \lambda \mathbf{I}) = 0\]\)

where \($\mathbf{A}$\) is the coefficient matrix,\($\lambda$\)is the eigenvalue, and \($\mathbf{I}$\)is the identity matrix.

Substituting the values, we have:

\(\[\begin{aligned}\det \begin{pmatrix} -6-\lambda & 5 \\ -5 & -4-\lambda \end{pmatrix} &= 0 \\(-6-\lambda)(-4-\lambda) - (5)(-5) &= 0 \\\lambda^2 + 10\lambda + 6 &= 0\end{aligned}\]\)

Solving this quadratic equation, we find the eigenvalues \(\lambda_1$ and $\lambda_2$.\left \{ {{y=2} \atop {x=2}} \right.\)

Once we have the eigenvalues, we can find the corresponding eigenvectors\($\mathbf{v}_1$ and $\mathbf{v}_2$\) by solving the equation:

\(\[(\mathbf{A}-\lambda\mathbf{I})\mathbf{v} = 0\]\)

Substituting the eigenvalues, we solve for the eigenvectors.

Let's denote the eigenvalues as \(\lambda_1$ and $\lambda_2$,\) and the corresponding eigenvectors as \(\mathbf{v}_1$ and $\mathbf{v}_2$.\)

Once we have the eigenvalues and eigenvectors, we can express the general solution in both vector and scalar form as follows:

Vector form:

\(\[\mathbf{x} = c_1\mathbf{v}_1e^{\lambda_1t} + c_2\mathbf{v}_2e^{\lambda_2t}\]\)

Scalar form:

\(\[\begin{aligned}x &= c_1v_{11}e^{\lambda_1t} + c_2v_{21}e^{\lambda_2t} \\y &= c_1v_{12}e^{\lambda_1t} + c_2v_{22}e^{\lambda_2t}\end{aligned}\]\)

wherec_1 andc_2 are arbitrary constants\(, $v_{ij}$\) that represent the \(i$-th\)component of the jth eigenvector and \($e^{\lambda_it}$\) represent the exponential term with the eigenvalue.

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The given case of Gallup asking the same 50 people how many hours had they worked at a job in the past 7 days. is an example of dependent sample.

The measured values in relation in a dependent sample (also called a paired sample).

Some characteristics of dependent sample are-

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The value for QCRIT using the HSD test for groups with subjects in each group will be 5.24.

We have,

HSD test for 6 groups,

And,

Subjects for HSD test = 6,

And,

α = 0.01

And,

The HSD test means Honestly Significant Difference test that determines whether the relationship between two data sets is statistically significant, i.e., used to check differences among sample way for significance.

So,

Here,

K = 6 ,

And,

Degree of freedom = 6 × 6 - 6 = 30,

And,

From the HSD table,

Q-critical i.e. QCRIT= 5.24 at level = 0.01

So,

QCRIT is 5.24.

Hence we can say that the value for QCRIT using the HSD test for groups with subjects in each group will be 5.24.

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The minimum sample size needed is 93.

In order to obtain survey findings that accurately represent a population you are researching while maintaining your chosen sampling error and confidence, you must have a required sample size.

A political scientist polls 300 random selection Atlanta votes cast, asking each one who those who currently support in the city's mayoral race in 2020. While 184 people indicated they would vote for candidate b, 184 people said they would pick for option a, and 15 people stated they felt undecided or would vote for a different candidate.

The community proportion of all Atlanta electors who intend to vote for candidate a was calculated with a 95% confidence level in query 8 by the political researcher. Furthermore, the researcher wants to determine p with a 3% error margin.

n = 101

p = 0.5

e = 5%=0.05

z score at 95% = 1.96

\(z score = (observed value - mean of the sample) / standard deviation of the sample\)

On auditing the value to the given equation:

n = 93

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Answer:

Isaac's total bill is $84.53

Step-by-step explanation:

$37.00 + $42.00 = $79.00 < b (bill)

b + t (sales tax) = c (total cost)

(7%/100 = 0.07)

(0.07 * 79 = 5.53)

(t = $5.53)

$79.00 + $5.53 = $84.53

Good luck!!

Answer: Isaac's total bill is $84.53

WAAAHHHHHHH MAMA THEY DELETING ME LIKE LITERALLY ITS BEEN ONE WEEK EXACTLY

;0;

A statement that not true about the Mann Whitney U test. The correct answer is B. The two samples are equal in size.

The Mann Whitney U test, also known as the Mann-Whitney-Wilcoxon test or the Wilcoxon rank-sum test, is a nonparametric test that is used to compare two independent samples to determine whether they come from the same population. It is often used when the data is not normally distributed or when the assumptions of the t-test are not met.

The Mann Whitney U test involves ranking the observations from both samples, calculating the sum of the ranks for each sample, and then comparing these sums to determine whether the samples are significantly different from each other.

The statement that is not true about the Mann Whitney U test is that the two samples are equal in size. This is not a requirement for the test, as it can be used with samples of different sizes.

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The point has an x-coordinate of 2 and a y-coordinate of 6 thus, option (B) is correct.

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.

The coordinate is written as (x,y)

Here, x is the horizontal distinctions and y is the vertical distinctions.

In (2,6) here 2 is the x-coordinate while 6 is the y-coordinate.

Hence "The point has an x-coordinate of 2 and a y-coordinate of 6".

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Answer:

A rotation ____on the coordinate plane________ a figure around a fixed point called the center of

___rotation_____________.

Marcia or her agency could respond to such criticism by emphasizing the importance of advocating for public health issues and the responsibility of healthcare professionals to address the broader social determinants of health.

They could highlight that nurses, like Marcia, have a unique perspective on the healthcare system and the well-being of their patients, which extends beyond individual patient care. The response could address the following points:

a) Commitment to public health: Marcia and her agency can emphasize their commitment to public health, emphasizing that advocating for policy changes and addressing social issues that affect health outcomes is an integral part of their profession.

b) Evidence-based approach: They can highlight that their advocacy efforts are grounded in evidence-based research, citing studies and data that support the need for policy changes in the specific issue at hand.

This would demonstrate that their actions are not merely political but based on the best interests of public health.

c) Collaboration and stakeholder involvement: Marcia and her agency can mention their efforts to collaborate with other healthcare professionals, community organizations, and policymakers to ensure that their advocacy is well-informed, inclusive, and representative of the needs and perspectives of various stakeholders.

d) Ethical and professional obligations: They can assert that as healthcare professionals, they have an ethical duty to promote the well-being of their patients and the community as a whole.

Advocacy for policy changes that address systemic issues impacting health aligns with this duty.

e) Separation of personal and professional life: Marcia or her agency can emphasize that while individuals may hold personal political beliefs, their advocacy work is separate from their professional responsibilities.

They can highlight that their actions are motivated by the desire to improve the health and well-being of the community, rather than personal political affiliations.

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There are 10,010 committees possible where computer science majors outnumber math majors on the committee. To determine how many different committees of size 5 are possible from a group of 8 math majors and 14 computer science majors, we can use the combination formula.

(a)  We have a total of 8+14 = 22 people to choose from. We will choose 5, so the combination is represented as C(22,5).
C(22,5) = 22! / (5! * (22-5)!) = 22! / (5! * 17!) = 26,334
So, there are 26,334 different possible committees.

(b) If exactly 2 math majors must be on the committee, we can use the combination formula again. We need to choose 2 math majors from the 8 available, and 3 computer science majors from the 14 available.
C(8,2) = 8! / (2! * 6!) = 28
C(14,3) = 14! / (3! * 11!) = 364
Now, multiply the two results together to find the total possible committees with exactly 2 math majors: 28 * 364 = 10,192
There are 10,192 committees possible with exactly 2 math majors.

(c) If computer science majors must outnumber math majors on the committee, there are two possible scenarios: 1 math major and 4 computer science majors, or 0 math majors and 5 computer science majors. We'll calculate both scenarios and add them up.
Scenario 1 (1 math major and 4 computer science majors):
C(8,1) = 8! / (1! * 7!) = 8
C(14,4) = 14! / (4! * 10!) = 1,001
Multiply the two results together for this scenario: 8 * 1,001 = 8,008
Scenario 2 (0 math majors and 5 computer science majors):
C(14,5) = 14! / (5! * 9!) = 2,002
Now, add both scenarios together: 8,008 + 2,002 = 10,010
There are 10,010 committees possible where computer science majors outnumber math majors on the committee.

(a) To find the total number of different committees that can be formed, we need to use the combination formula. So, the answer is:
C(8,5) * C(14,0) + C(8,4) * C(14,1) + C(8,3) * C(14,2) = 56 * 1 + 70 * 14 + 56 * 91 = 7,196 different committees possible.

(b) If exactly 2 math majors must be on the committee, we need to choose 2 math majors from the group of 8 and 3 members from the remaining 14. So, the answer is:
C(8,2) * C(14,3) = 28 * 364 = 10,192 committees possible.

(c) If the computer science majors must outnumber the math majors, we need to choose at least 3 computer science majors and at most 2 math majors. So, the answer is:
C(8,0) * C(14,3) + C(8,1) * C(14,3) + C(8,2) * C(14,3) + C(8,0) * C(14,4) + C(8,1) * C(14,4) = 364 + 2,548 + 5,832 + 1,001 + 7,196 = 16,941 committees possible.

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For a sampling distribution that has a sample size of 36 for a 95% confidence level and the population standard deviation is known to be 12, then the margin of error will be 3.98.

Given that the sample size is 36, confidence level is 95% and the population standard deviation be 12.

We are required to find the margin of error of the sampling distribution.

Margin of error is the difference between real values and the calculated values of the sampling distribution.

Margin of error=z*σ/\(\sqrt{n}\)

,in which σ is population standard deviation and n is the sample size.

z value of 95% confidence level is 1.96.

Margin of error=1.96*12/\(\sqrt{36}\)

=1.96*12/6

=1.96*2

=3.98

Hence for a sampling distribution that has a sample size of 36 for a 95% confidence level and the population standard deviation is known to be 12, then the margin of error will be 3.98.

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Answer:

\(V=(3W^{3} + 12W^{2} ) units^{3}\)

Step-by-step explanation:

we know that

The volume of a rectangular prism is equal to

\(V=LBH-- >\)\(EquationA\)

where

L is the length

W is the width

H is the height

we know that

\(L=3W--- > EquationB\)

\(H = W + 4----- > EquationC\)

substitute equation B and equation C in equation A

\(V=(3W)(W)(W+4)\)

Apply distributive property

\(V=(3W^{3} + 12W^{2} ) units^{3}\)

Pls mark me Brainliest

Answer:

Step-by-step explanation:

4y-9+9= 4y since the 9's cancel each other out.

The final rankings of the top 20 ncaa college basketball teams are an example of ordinal level of measurement.

The ordinal scale can referred to as a second level of measurement that is used in statistics. This is the type of measurement that has to do with ranking and data ordering that has to be done without any forms of variation.

Hence we can conclude that the answer is ordinal. The final rankings of the top 20 ncaa college basketball teams are an example of ordinal level of measurement.

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Answer:

height is 27/πr^2

Step-by-step explanation:

h

Answer

Step-by-step explanation:

easy

Answer:

3 and 4

Step-by-step explanation:

Answer:

6x2+x+2

Step-by-step explanation:

Mark Brainliest?

Answer:

36 9/16 in

Step-by-step explanation:

Amount of wood left = original length of the wood - length cut - length wasted

45\(\frac{1}{2} - \frac{1}{16} - 8\frac{7}{8}\)

\(37\frac{8 - 1 - 14}{16}\)

\(37\frac{-7}{16}\)

36\(\frac{9}{16}\)

Yes, the true mean of 33 is within the margin of error of the sample mean, we can conclude that the confidence interval does contain the true mean.

To determine whether the confidence interval contains the true mean of 33, we need to calculate the margin of error for the confidence interval. The margin of error is a measure of the precision of the estimate, and it is calculated using the sample size, the standard deviation of the population, and the desired level of confidence.

For a 95% confidence interval, the margin of error can be calculated using the following formula:

The margin of error = 1.96 * (standard deviation / √sample size)

Plugging in the values, we get:

Margin of error = 1.96 * (14 / √42)

Performing the calculation, we find that the margin of error is 3.39. This means that the sample mean of 31 is likely to be within 3.39 units of the true mean, with a confidence level of 95%.

Since the true mean of 33 is within the margin of error of the sample mean, we can conclude that the confidence interval does contain the true mean. This means that our estimate of the population mean, based on the sample size 42, is likely to be accurate.

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The equation of the tangent line to the curve y = x^4 + 5x^2 - x at the point (1, 5) is y = 13x - 8.

To find the equation of the tangent line to the curve y = x^4 + 5x^2 - x at the point (1, 5), we need to find the derivative of the curve at that point, which will give us the slope of the tangent line.

Taking the derivative of y = x^4 + 5x^2 - x, we get:

y' = 4x^3 + 10x - 1

Plugging in x = 1 (since we want the tangent line at the point (1, 5)), we get:

y' = 4(1)^3 + 10(1) - 1 = 13

So the slope of the tangent line at (1, 5) is 13. To find the equation of the tangent line, we use the point-slope form of a line:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the point we're given (in this case, (1, 5)). Plugging in m = 13 and (x1, y1) = (1, 5), we get:

y - 5 = 13(x - 1)

Expanding and simplifying, we get:

y = 13x - 8

So the equation of the tangent line to y = x^4 + 5x^2 - x at the point (1, 5) is y = 13x - 8.

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Answer:

L(0, 2) --> L'(-6, -4)

M(0, 6) --> M'(-6, 0)

N(10, 5) --> N'(4, -1)

Step-by-step explanation:

To find the coordinates after translation, we notice that we are moving 6 to the left which is the same as subtracting 6 from the x coordinate. We are also moving 6 down, which is the same as subtracting 6 from the y coordinate. We can apply this to all points:

L(0, 2) --> L'(-6, -4)

M(0, 6) --> M'(-6, 0)

N(10, 5) --> N'(4, -1)

1) The polygons are not similar.

2) They polygons are similar.

3)  They polygons are similar.

Two polygons are similar if they have the same shape but different sizes. The corresponding angles are equal and the ratios of their corresponding sides are also equal.

Using the above concept, we can equate the ratio of the corresponding sides to see if the polygons are similar. That is:

No. 1

10/5 = 2

12/6 = 2

8/4.5 = 1.77

The ratios of the corresponding sides are equal. Thus, they are not similar.

No. 2

24/12 = 2

13.2/6.6 = 2

The ratios of the corresponding sides are equal. Thus, they are similar.

No. 3

22/5.5 = 4

26/6.5 = 4

12/3 = 4

The ratios of the corresponding sides are equal. Thus, they are similar.

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