I need help with a problem.

Answer:

90°

Step-by-step explanation:

A quadrilateral is a shape with 4 sides.

Its interior angles always sum up to 360°.

The other angles = 52 + 97 + 121 = 270°

The missing angle = 360 - 270 = 90°

Answer:

Step-by-step explanation:

From the picture attached,

Given:

GH║KL and J is the midpoint of HK.

To Prove:

ΔGHJ ≅ ΔLKJ

       Statements                              Reasons

1. GH║KL                                  1. Given

2. J is the midpoint of HK       2. Given

3. JH ≅ JK                                3. Definition of the midpoint of a segment

4. ∠JKL ≅ ∠JHG                      4. Alternate interior angles

5. ∠GJH ≅ ∠KJL                      5. Vertically opposite angles

6. ΔGHJ ≅ ΔLKJ                      6. By ASA theorem of congruence

    Statements                              Reasons

1. GH║KL                                  1. Given

2. J is the midpoint of HK       2. Given

3. JH ≅ JK                                3. Definition of the midpoint of a segment

4. ∠JKL ≅ ∠JHG                      4. Alternate interior angles

5. ∠GJH ≅ ∠KJL                      5. Vertically opposite angles

6. ΔGHJ ≅ ΔLKJ                      6. By ASA theorem of congruence

We have to prove the statement, ∠GHJ = ∠LKJ

Given; GH || KL, J is the midpoint of HK.

To prove; ∠GHJ = ∠LKJ

Given; J is the midpoint of HK,

By definition midpoint of a segment,

The midpoint is the middle part of the line segment J, it is equidistant from both endpoints it is the centroid of the segment of the endpoints.

JH ≅ HK

Then, by the property of alternate interior angles,

∠JKL≅ ∠JKH

Therefore, by the property of vertically opposite angles,

When two lines intersect they form four angles. Vertical angles are the angles that are opposite to each other. Any two intersecting lines form two pairs of vertical angles that are opposite to each other.

∠GJH ≅ KJL

By ASA congruence theorem,

When two triangles are congruent to each other - If two angles and the involved side of one triangle is equivalent to the two angles and the included side of the other triangle.

ΔGHJ ≅ ΔLKJ

Hence Proved.

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Answer:

Step-by-step explanation:

Equation

y = x^2 + 8x + 7                      Put brackets around the first two terms

y = (x^2 + 8x) + 7                    Take 1/2 the linear term's coefficient  (8)

8/2 = 4                                    Put this result inside the brackets and  square

y = (x^2 + 8x + 4^2) + 7          Take - 4^2 and add it to the seven.

y = (x^2 + 8x + 16) + 7 - 16       What you did, did not change the eqiuation

Y = (x^2 + 8x + 16) - 9              The first 3 terms make a perfect square

y = (x + 4)^2 - 9

The minimum should be at - 4,-9  Just to make sure it is, I'll graph the original equation. The y intercept should be at 7 and the two x roots should x = + 3 - 4 and x = -3 - 4. or x = -1 and x = - 7

Let's see if this all checks out.

Graph of original equation.

The statement "An estimator is consistent if as the sample size decreases, the value of the estimator approaches the value of the parameter estimated" is False.

Consistency is an important property of estimators in statistics. An estimator is consistent if its value approaches the true value of the parameter being estimated as the sample size increases.

In other words, if we repeatedly take samples from the population and compute the estimator, the values we obtain will be close to the true parameter value.

This is an essential characteristic of a good estimator, as it ensures that as more data is collected, the estimation error decreases.

However, as the sample size decreases, the value of the estimator is more likely to deviate from the true value of the parameter. The reason for this is that a small sample size may not be representative of the population, and as a result, the estimation error may increase.

As a consequence, the statement is false. In conclusion, consistency is a property that an estimator possesses when its value converges to the true value of the parameter as the sample size grows.

As the sample size decreases, the estimator may become less reliable, leading to an increase in the estimation error.

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Answer:

A, B, E

Step-by-step explanation:

A) 40 + 40

B) 2/22 +20

E)22 +15) +22+5)

Draw the circle with the center at the intersection of the perpendicular bisectors and the radius equal to the distance found in step 4.

When constructing a circle circumscribed about a triangle, the following step is needed:

Identify the three vertices of the triangle.

Let's say the triangle has vertices A, B, and C.

Find the perpendicular bisectors of the triangle's sides.

For each side of the triangle, construct a line that is perpendicular to the side and passes through its midpoint.

Locate the point of intersection of the perpendicular bisectors.

The point where all three perpendicular bisectors intersect is the center of the circumscribed circle.

Measure the distance from the center to any of the triangle's vertices.

This distance is the radius of the circumscribed circle.

By following these steps, you can construct a circle that passes through all three vertices of the triangle. This circle is known as the circumscribed circle or circumcircle of the triangle. It is unique to each triangle and provides a useful geometric property that can be applied in various mathematical and geometric contexts.

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Answer:

56

Step-by-step explanation:

Answer:

13.3 US$

Step-by-step explanation:

How to find it

Written using the formula: x = 66.50 ÷ 20%

Convert the percent to a decimal.

20% ÷ 100 = 0.2.

X = 66.50 ÷ 0.2.

So 20% of 66.60 is 13.3.

Answer:

336

Step-by-step explanation:

To define whether we use permutations or combinations we must define whether or not the order in which we arrange the results matters. If the order matters we use permutations and if the order doesn't matter we use combinations.

In this case, since we are talking about the first places in a competition, order definitely does matter, so we use permutations. Also in permutations it must be indicated if repetition is allowed, in this case not because the same person cannot be in more than one place.

We use the following formula:

\(P=\frac{n!}{(n-r)!}\)

where in this case n is the numer of swimmers and r is the number of places we are considering (1st 2nd and 3rd), which is 3 places.

n = 8

and

r = 3

thus the number of permutations is given bt:

\(P=\frac{8!}{(8-3)!}\\ \\P=\frac{8!}{5!} \\\\P=\frac{8*7*6*5*4*3*2*1}{5*4*3*2*1}\\ \\P=8*7*6\\P=336\)

the answer is that there are 336 ways in which the swimmers can finish in first second and third place

Using the simplex method, the maximum value of Z=5A+4B is found to be 19.2 when A=3.6 and B=1.2. The calculations can be confirmed by using any software that solves linear programming problems.

To solve the given linear programming problem using the simplex method, we start by converting the problem into standard form. We introduce slack variables to convert the inequalities into equations.The initial tableau is as follows:

      | A | B | S1 | S2 | S3 | S4 |   RHS

------------------------------------------

 Z    | -5 | -4 | 0  | 0  | 0  | 0  |    0

------------------------------------------

 S1   |  6 |  4 | 1  | 0  | 0  | 0  |   24

 S2   |  1 |  2 | 0  | 1  | 0  | 0  |    6

 S3   | -1 |  1 | 0  | 0  | 1  | 0  |    1

 S4   |  0 |  1 | 0  | 0  | 0  | 1  |    2

We perform the simplex iterations until the optimal solution is reached. After applying the simplex method, the final tableau is obtained as follows:

      |  A  |  B  |  S1  |  S2  |  S3  |  S4  |   RHS

------------------------------------------------------

 Z    |  0  | 1.8 | 0.2  | -1   | -0.4 |  0.4 | 19.2

------------------------------------------------------

 S1   |  0  |  0  |  0   | 1.5  | -1   |  1   |  3

 S2   |  1  |  0  | -0.5 |  0.5 |  0.5 | -0.5 | 1.5

 A    |  1  |  0  | 0.5  | -0.5 | -0.5 |  0.5 |  0.5

 S4   |  0  |  0  |  1   | -1   | -1   |  1   |  1

From the final tableau, we can see that the maximum value of Z is 19.2 when A=3.6 and B=1.2. This solution satisfies all the constraints of the problem. The calculations can be verified using any software that solves linear programming problems, which should yield the same optimal solution.

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The function satisfies the following properties:

(a) satisfies (u,v) = (v,u)

(c) satisfies (u, v+w) = (u,v) + (u,w)

(e) satisfies c(u,v) = (cu,v)

(g) satisfies (v,v) >= 0 and (v,v) = 0 if and only if v = 0

(a) The function satisfies (u,v) = (v,u) because the order of the elements in the inner product does not affect the result.

(c) The function satisfies (u, v+w) = (u,v) + (u,w) because it follows the distributive property of addition.

(e) The function satisfies c(u,v) = (cu,v) because it follows the property of scalar multiplication.

(g) The function satisfies (v,v) >= 0 and (v,v) = 0 if and only if v = 0 because it fulfills the requirements for a non-negative value for the inner product and the condition for the inner product to be zero only when the vector is the zero vector.

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Answer:

How many square feet does maraina need to fill though?

In a simple linear regression model, the coefficient of the independent variable (x) in the estimated sample regression equation indicates the change in the predicted value of the dependent variable (y) when x increases by one unit. This coefficient is also known as the slope of the regression line. Therefore, to calculate the predicted value of y, we multiply the coefficient by the value of x and add the intercept.

In a simple linear regression model, the coefficient that indicates the change in the predicted value of y when x increases by one unit is the "slope coefficient" or the "regression coefficient" (usually denoted as b1). This coefficient represents the relationship between the independent variable x and the dependent variable y.

The linear regression equation is given as:

y = b0 + b1 * x

Where:
- y is the predicted value of the dependent variable
- b0 is the intercept coefficient (where the line intersects the y-axis)
- b1 is the slope coefficient (the change in y when x increases by one unit)
- x is the independent variable

In this equation, b1 indicates the change in the predicted value of y when x increases by one unit.

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247 students are a good prediction of the number of students that chose volleyball as their favorite sport.

To predict the number of students that chose volleyball as their favorite sport, we can calculate 19% of the total number of students in the school.

Given that the school has 1,300 students and 19% of them chose volleyball, we can calculate the prediction as follows:

Prediction = 19% of 1,300

To find 19% of a number, we can multiply that number by 0.19.

Prediction = 1,300 * 0.19

Prediction = 247

Therefore, a good prediction for the number of students that chose volleyball as their favorite sport in the school would be approximately 247 students.

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If Rachana randomly selects two mugs from the set, the probability that she gets two different mugs is 0.1556 or 15.56%.

To solve this problem, we can use the concept of combinations. Since there are 10 mugs in the set, there are 10 choose 2 = 45 ways to select two mugs without considering order.

Out of these 45 ways, we need to count the number of ways Rachana can select two different mugs. Since there are 3 different types of mugs, Rachana can choose any one of the three types for the first mug. There are 10 mugs in the set, out of which 3 belong to the chosen type. Therefore, the probability of choosing a mug of the chosen type is 3/10.

For the second mug, Rachana can choose from the remaining 9 mugs. Since she needs to choose a different type of mug, she can choose any one of the 2 remaining types. There are 7 mugs left from the other 2 types. Therefore, the probability of choosing a mug of a different type is (7/9) * 2/3 = 14/27.

Therefore, the probability of selecting two different mugs is the product of the probabilities of selecting a mug of the chosen type and a mug of a different type. This is given by (3/10) * (14/27) = 7/45, which is approximately 0.1556 or 15.56%.

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Complete question is:

Rachana has a set of ten mugs the set up is made of 3 different mugs. If Rachana randomly selects two mugs from the set, what is the probability that she gets two different mugs?

Answer: total cost of the stuff she buys ≤ 18 since she only has 18 dollars to buy stuff

Step-by-step explanation:

let's add up the cost of the stuff she buys:

- a flat cost of $6.50

- a savings of $5.75 (she's technically not spending money but we can count this as part of her expenses since it's taking away from the 18 dollars)

- some number (x) candy bars. if each candy bar costs $1.15 then the money she spends on candy bars is $1.15

with that being said:

6.50 + 5.75 + 1.15x ≤ 18

solve for x

since we are talking about whole # candy bars, if you get a decimal from this, round down to the nearest whole #

Answer:

Andrea can buy 5 candy bars.

Step-by-step explanation:

First to solve this we will subtract 6.50 from 18 because Andrea already spent that money. Then we must subtract 5.75 from 18 because Andrea can't spend that money. All the subtracting equals 5.75. After that we can divide the remaining money by 1.15 to see how many candy bars we can buy which equals 5. Finally the answer is that Andrea can buy 5 candy bars.

Answer:

24

Step-by-step explanation:

   \(y=kx\)

at (4, 8):  8 = 4k  ⇒  k = 2

So  \(y=2x\)

when \(x=12\), \(y=2 \times 12=24\)

The mean difference of the means is a measure of central tendency that quantifies the difference between the means of two data sets. It is calculated by subtracting one mean from the other and taking the absolute value of the result.

Mean Difference of the Means = | Mean₁ - Mean₂ |Therefore, to calculate the mean difference of the means, you need to find the means of the two data sets and subtract the smaller mean from the larger mean. The result will be the mean difference between the means.

It is important to note that the mean difference of the means can be positive or negative depending on which mean is larger. So, to enter the nearest whole number, you would need to round the result to the nearest whole number.

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If 10% of the registered voters in a small city are called for jury duty in a particular calendar year, then the probability of any one registered voter being called is 0.1 or 10%.

Since people are selected for jury duty at random, the selection process does not favor any one individual over another. Furthermore, the rule that the same individual cannot be called more than once during the calendar year ensures that everyone has an equal chance of being selected.

Suppose there are 1000 registered voters in the city. Then, 100 of them will be called for jury duty in that calendar year. If a person is not called in a given year, they still have a chance of being called in subsequent years.

Overall, the selection process for jury duty in this city is fair and ensures that all registered voters have an equal opportunity to serve on a jury.

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The answer of the given question is the vertical component of the given vector is 8.

The "vertical component" can refer to different concepts depending on the context. Here are a few possible interpretations:

In physics or mechanics: The vertical component typically refers to the portion of a vector or force that acts in the vertical direction, perpendicular to the horizontal plane. For example, if you have a force applied at an angle to the horizontal, you can break it down into its horizontal and vertical components.

In mathematics: The vertical component can refer to the y-coordinate of a point or vector in a Cartesian coordinate system. In a 2D coordinate system, the vertical component represents the displacement or position along the y-axis.

Given, Initial point of a vector is (−2,−4) and terminal point of a vector is (3,4).

The vertical component of a vector is the y-coordinate of its terminal point minus the y-coordinate of its initial point.

So, the vertical component of the vector v is 4 - (-4) = 8.

Therefore, the vertical component of the given vector is 8.

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a. After performing regression analysis, the quadratic function that models the data is m(x) = -0.066x² + 8.234x - 77.603.

b. The gas mileage is the greatest at a speed of approximately 62 mph.

c. The maximum gas mileage is approximately 32 mpg.

Using the given data points, we can perform a regression analysis to find the coefficients of the quadratic function. This analysis can be done using mathematical software or spreadsheet programs that provide regression capabilities.

Performing the regression analysis on the given data, we obtain the quadratic function:

m(x) = -0.066x² + 8.234x - 77.603

The coefficients of the quadratic function, rounded to three decimal places, are: a = -0.066, b = 8.234, and c = -77.603.

Now, let's proceed to answer the remaining questions:

b. To determine the speed at which the gas mileage is the greatest, we need to find the vertex of the quadratic function. The vertex represents the maximum point of the parabolic curve.

For a quadratic function in the form m(x) = ax² + bx + c, the x-coordinate of the vertex is given by the formula: x = -b / (2a).

Using the coefficients obtained from the regression analysis, we can substitute them into the formula:

x = -8.234 / (2 * -0.066) = 62.439

Rounding this result to the nearest mile per hour, the speed at which the gas mileage is the greatest is approximately 62 mph.

c. To find the maximum gas mileage, we substitute the x-value obtained in part b into the quadratic function m(x) = -0.066x² + 8.234x - 77.603. This will give us the corresponding y-value, which represents the gas mileage.

Plugging in x = 62 into the quadratic function:

m(62) = -0.066 * (62)² + 8.234 * 62 - 77.603 ≈ 31.797

Rounding this result to the nearest mile per gallon, the maximum gas mileage is approximately 32 mpg.

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The table that represents a function is A. Table B is a function because the y - values do not repeat.

To ascertain if data demonstrate function, it's obligatory that each x-value be linked to precisely one y-value. Supposing there are multiple y-values associated with a single x-value the set of data stands erroneous and is not considered indicative of a function.

As we see, in Table B we observe individual x-values correspond exclusively with distinct y-values - without any repeats. Consequently, this attributed quality signifies an exemplary display of a functional set of data.

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The probability that the equivalent strength of the part will be between 439 MPa and 544 MPa is approximately 0.3231

The probability that the equivalent strength of the part made from 1045hr will be between 439 MPa and 544 MPa can be determined using the properties of the normal distribution.

First, we need to standardize the values using the formula: z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation.

For 439 MPa:

z1 = (439 - 414) / 85 = 0.2941

For 544 MPa:

z2 = (544 - 414) / 85 = 1.5294

Next, we can find the probability associated with each z-value using a standard normal distribution table or a statistical software.Using the standard normal distribution table, we can find the area to the left of z1, which is approximately 0.6151, and the area to the left of z2, which is approximately 0.9382.

To find the probability between these two values, we subtract the smaller area from the larger area:

P(439 ≤ x ≤ 544) = 0.9382 - 0.6151 = 0.3231

Therefore, the probability that the equivalent strength of the part will be between 439 MPa and 544 MPa is approximately 0.3231 or 32.31%.

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The approximated area Jamie needs to cover is 462.05 ft

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

The area Jamie needs to cover in the figure is calculated as

Area = Pentagon + Trapezoid + Parallelogram

Using the given dimensions, we have

Area = 1/4 * √[5 * (5 + 2√5)] * 10² + 1/2 * (18 + 20) * 10 + 10 * 10

Evaluate

Area = 462.05

Hence, the area Jamie needs to cover is 462.05 ft

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The Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

To investigate whether the span of a person's dominant hand is greater than that of their non-dominant hand, the most appropriate statistical technique would be the Paired samples t-test.

The Paired samples t-test is used when comparing the means of two related groups or conditions. In this case, the dominant and non-dominant hands are related because they belong to the same individuals in the study. By comparing the means of the dominant and non-dominant hand spans, we can determine if there is a significant difference between the two.

The other options listed, ANOVA (Analysis of Variance), Independent samples t-test, Wilcoxon's matched-pairs signed rank test, and Mann-Whitney U test, are not suitable for this scenario because they are designed for different types of comparisons:

- ANOVA is used when comparing the means of three or more independent groups, which is not the case here.

- Independent samples t-test is used when comparing the means of two independent groups, which is not the case here as the measurements are paired.

- Wilcoxon's matched-pairs signed rank test and Mann-Whitney U test are non-parametric tests that are used when the data do not meet the assumptions of parametric tests. However, in this case, we have paired measurements, and the paired samples t-test is the appropriate parametric test.

Therefore, the Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

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Answer:

u didnt put the anwsers but its 80% percent now can i have brainliest pls ty

Step-by-step explanation:

Answer:

To find an appropriate measure of center, we need to determine the typical or central value of the data. There are several measures of center, such as mean, median, and mode.

However, in this case, we need to consider the extreme value of 8, which is significantly lower than the rest of the values. This value may be an outlier, and including it in the calculation of the mean could skew the result.

Therefore, the most appropriate measure of center in this case would be the median, which is the middle value when the data set is ordered.

To find the median, we first need to order the data set:

8, 20, 22, 23, 23, 24

There are six values in the data set, so the median will be the average of the two middle values, which are 22 and 23.

Median = (22 + 23) / 2 = 22.5

Therefore, the most appropriate measure of center for this data set would be the median of 22.5.