at 5:45 p.m., a jet is located 108 mi due east of a city. a second jet is located 214 mi due north of the city. to the nearest tenth of a mile, what is the distance between the two jets?

Answer:

parallel: CE and BF

perpendicular skew:CA

Step-by-step explanation:

In the inter-quartile graph , the data is contained in about 75% of the total (IQR).

A sort of graph used to show numerical data visually is the box-and-whisker plot. In this graph, the inter-quartile range (IQR) of the data is shown as a rectangular box, and the median is shown as a line extending from the box. The minimum and maximum values of the data are indicated by the whiskers extending from the box. It is clear from the box-and-whisker plot's information that roughly 75% of the data falls inside the inter-quartile range. The first quartile (Q1) is subtracted from the third quartile to determine the IQR (Q3). The median of the lower half of the data is the lower quartile (Q1), and the median of the higher half is the upper quartile (Q3). The dispersion of the middle half of the data is thus indicated by the IQR. When evaluating data, having this knowledge is crucial since it makes it easier to see any outliers or numbers outside the IQR.

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The complete question is

considering the attached box-and-whisker plot, what percent of data lies within the inter-quartile range (iqr) and find the data?

Answer:

The 13th Amendment to the United States Constitution provides that "Neither slavery nor involuntary servitude, except as a punishment for crime whereof the party shall have been duly convicted, shall exist within the United States, or any place subject to their jurisdiction."

Step-by-step explanation:

Answer:

133°

Step-by-step explanation:

 supplementary angeles sum 180°

a = 3b - 8. Eq. 1

a + b = 180. Eq. 2

Replacing Eq.1 in Eq.2

(3b - 8) + b = 180

3b + b = 180 + 8.

4b = 188

b = 188/4.

b = 47°

From Eq. 1:

a = 3b - 8.

a = 3*47 - 8.

a = 141 - 8.

a = 133°

then:

133>47

The larger anglel is:

133°

The results of this test will be used to determine if the average tenure of U.S. workers is significantly different from the stated 4.6 years. If the results are statistically significant, then we can reject the null hypothesis and conclude that the average tenure of U.S. workers is 4.6 years.

Hypothesis: The average tenure of U.S. workers is 4.6 years

Null Hypothesis: The average tenure of U.S. workers is not 4.6 years

Alternative Hypothesis: The average tenure of U.S. workers is 4.6 years

Test Statistic: One-sample t-test

Significance Level: α = 0.05

The purpose of this one-sample t-test is to determine whether the average tenure of U.S. workers is 4.6 years. The null hypothesis states that the average tenure of U.S. workers is not 4.6 years, while the alternative hypothesis states that the average is 4.6 years. The significance level for this test will be set at α = 0.05. The test statistic is a one-sample t-test, which is used to compare the mean of a sample to a known population mean. The results of this test will be used to determine if the average tenure of U.S. workers is significantly different from the stated 4.6 years. If the results are statistically significant, then we can reject the null hypothesis and conclude that the average tenure of U.S. workers is 4.6 years.

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Answer:

4 feet

Step-by-step explanation:

I'll use ratios:

10 feet tall is to 5 foot shadow  as  x feet tall is to 2 foot shadow

 or

10 / 5 = x /2    Multiply both sides of the equation by 2

20 / 5 = x  = 4 feet tall

The height of other tree is 4 foot.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

10 feet tall cats a shadow of 5 foot.

let x feet casts a shadow of 2 foot.

Using proportion

10/ 5 = x / 2

2 = x/2

x = 4 feet.

Thus, the 4 feet tall tree casts a shadow of 2 foot.

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The value of y are 8, 7, 6, 5, 4, 3 and graph of the line is a straight line.

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

Given is an equation, x+y = 6, we need to find the value of y corresponding to the value of x which are given,

x+y = 6

For x = -2,

-2+y = 6

y = 8

For x = -1,

-1+y = 6

y = 7

For x = 0

0+y = 6

y = 6

For x = 1,

1+y = 6

y = 5

For x = 2,

2+y = 6

y = 4

For x = 3,

3+y = 6

y = 3

Therefore, we get the value of y = 8, 7, 6, 5, 4, 3

Plotting for same, we get a straight line (attached graph)

Hence, the value of y are 8, 7, 6, 5, 4, 3 and graph of the line is a straight line.

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P(A n B) = P(A|B) * P(B) = (2/3) * (3/4) = 1/2

Therefore, there is a 50% probability that both occurrences A and B will happen. P(A and B)=1/2

The possibility that something will occur is called the probability. the total number of conceivable outcomes. Because there is only one way to receive a head and there are a total of two possible outcomes, the probability of flipping a coin and getting heads is 1 in 2. (a head or tail). We state P(heads) = 12.

A probability is a number that expresses the likelihood or chance that a specific event will take place. Probabilities can be stated as percentages ranging from 0% to 100% or as proportions from 0 to 1.

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Answer:

let 5= a and b = 3^1/3

(a+b) ( a-b)

a^2-b^2

putting the value of a and b we get

(5)^2-(3)^2/2

25-3

22

Quantitative research is the procedure of gathering and performing a numerical analysis. It can be used to identify trends and averages, formulate hypotheses, examine causality, and extrapolate findings to larger population.

Statistical methods involved in carrying out a study include planning, designing, collecting data, analysing, drawing meaningful interpretation and reporting of the research findings.

Quantitative research collects information from existing and potential customers using sampling methods and sending out online surveys, online polls, and questionnaires, for example. One of the main characteristics of this type of research is that the results can be depicted in numerical form.

An unofficial relationship is mentioned in a theory. If the frequency of winning is correlated with the frequency of purchasing lottery tickets, for instance. "Then" is followed by a forecast of what will happen if you buy lottery tickets more frequently or less frequently.

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Answer: He can have 8 friends.

Step-by-step explanation: 78 minus 42(Private party fee)= 36.

36 divided by 4.5(Per person)= 8

Answer:(n-5)(4n+5)

Step-by-step explanation:

[tex] = \frac{3}{4} \times \frac{1}{2} \\ [/tex]

[tex] = \frac{3}{8} \\ [/tex]

Since there are 20 students, and only 14 cookies, it is practically impossible for each student to get one whole cookie.

If there are 20 students and only 14 cookies, it is not possible for every student to get one cookie equally.

Dividing 14 cookies equally among 20 students means each student would get only 0.7 cookies, which is not possible since cookies are discrete objects.

In this scenario, the best solution would be to divide the 14 cookies as equally as possible among the 20 students, with some students getting one cookie and others getting none. This is known as an unequal distribution and is the fairest solution in such a scenario.

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The ratio of his science marks to his mathematics marks is 4/5 or 4:5

What are equivalent ratios?

The ratios that are same when compared are called equivalent ratios. The equivalentity of two or more ratios can be determined by comparing them to one another. For instance, 1:2 and 2:4 have the same ratio.

In general, the ratio of a to b is a/b

So,

The ratio of his science marks to his mathematics marks

=60/75

Divide both terms by 5

= 12/15

Divide both terms by 3

= 4/5

The ratio of his science marks to his mathematics marks is 4/5 or 4:5

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Answer:

I have solved and attached a graph in the explanation.

Step-by-step explanation:

We know

Morwenna rents a truck. She pays $20 plus $0.25 per mile.

0.25 is the slope

20 is the y-intercept

So, we have the equation is

y = 0.25x + 20

The angle of elevation at which Luke shoots the squirt gun is 25.641°

A frequently used idea in relation to height and distance is the angle of elevation, particularly in trigonometry. It is described as a relationship between an oblique line from the observer's eye to an item above his eye and the horizontal plane. This angle eventually develops above the surface. The angle of elevation is made in such a way that it is above the observer's eye, as the name suggests.

Given that, the height of Luke is 6 ft .

the height of squirt gun from the ground is 30ft.

So, the height of squirt gun from the Luke's eye is 30-6 = 24 ft

The horizontal distance of Luke from Alex's building is 50 feet .

Let the angle of elevation is θ.

tan θ = the height of squirt gun from the Luke's eye / The horizontal distance of Luke from Alex's building

tan θ = 24/50

tan θ = 0.48

θ = tan⁻¹ 0.48

θ = 25.641°

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Answer:8x^2-2x+1

Step-by-step explanation: Add both and combine like terms.

Answer:

X < 3

Step-by-step explanation:

2x-1<x+2

2x - x < 2 + 1

X < 3

Answer & Step-by-step explanation:

Let's start by defining some variables:

M = Mina's age

O = Mina's older sister's age

Y = Mina's younger sister's age

A = Mina's mother's age. We can now use the information given in the problem to set up a system of equations:

O = 2M + 3

Y = 2M - 8

A = 2Y + 10

Grandmother's age = M + O + Y + A

We can substitute the first three equations into the fourth equation to get:

Grandmother's age = M + (2M + 3) + (2M - 8) + (2(2M - 8) + 10)

Simplifying this expression, we get:

Grandmother's age = 9M + 9

Finally, we can substitute M = 7 (Mina's age) to get:

Grandmother's age = 9(7) + 9 = 72 Therefore, Mina's grandmother is 72 years old.

The difference using the column method is: 172,088.

The column method of subtraction simply deals with the arrangement of the figures in a column format. This can be done as follows:

  240040

-     67952

   172, 088

The above method employs the same logic of subtracting numbers but the only difference is the fact that the larger number is placed above the smaller number and the subtraction sign is placed somewhere besides the arrangement. When the subtraction is done, the number obtained is 172,088.

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The slope coefficient in a regression model represents the change in the response variable for a one-unit change in the predictor variable, holding all other predictors constant.

The significance of the slope coefficient is determined by the p-value associated with it in the regression output. A p-value less than 0.05 indicates that the slope coefficient is significantly different from zero at a 5% level of significance, meaning that the predictor variable has a significant effect on the response variable. A p-value greater than 0.05 suggests that the predictor variable does not have a significant effect on the response variable.

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Complete Question:

What is the slope coefficient? Is this coefficient significant at a 5% level of significance (alpha=0.05)?

Total surface area of cuboid is 56 sq.units.

Total surface area is the total space covered by an object. It includes both top and bottom of an objects.

Let a be the side of the cube, a=2.

The cube with 2 units are placed adjacent to each other it forms cuboid.

The dimensions of cuboid are,

length, l = a + a + a ⇒ 2+2+2=6 units.

breadth, b = a=2 units.

height, h =a=2 units.

Total surface area of cuboid = 2(lb+bh+hl) sq. units

                                               = 2(6*2+2*2+2*6)

                                               = 56 sq.units.

Hence, the total surface area of the cuboid thus formed is 56 sq.units.

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Answer:

50%

Step-by-step explanation:

50% = 0.5

$90000 times 0.5 = $45000

So, 50% of $90000 is equal to $45000

Answer: 50%

Hope this helps :)

Step-by-step explanation:

45,000 / 90,000 = .5 (50 out of 100)

45 * 2 = 90

The extraneous solutions of the equation is -2 and 15.

ln stands for logarithm and it is a function that returns the power to which a certain number (base) must be raised to obtain a given value. The logarithm is commonly used to simplify mathematical expressions and can be thought of as an inverse operation to exponentiation.

In this equation, we have two logarithmic expressions on the left and right side. To solve for x, we need to find what number raised to the power of the base (ln), will result in x² - 30 and 13x.

So, if we find the height for one triangle, we can find the height for the other triangle. To do this, we will use the logarithmic property:

ln(aᵇ) = b * ln(a)

Where a and b are any positive real numbers.

Applying this property to both logarithmic expressions, we get:

ln(x² - 30) = ln((x² - 30)^(1/ln)) = 1/ln * ln(x² - 30)

Equating the two, we get:

1/ln * ln(x² - 30) = 1/ln * ln(13) + 1/ln * ln(x)

Dividing both sides by 1/ln, we get:

ln(x² - 30) = ln(13) + ln(x)

Using the logarithmic property, we can simplify further:

x² - 30 = 13 * x

Dividing both sides by x, we get:

x²/x - 30/x = 13

x - 30/x = 13

x² - 30 = 13x

x² - 13x - 30 = 0

This is a quadratic equation and can be solved using the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

Where a = 1, b = -13, c = -30

So,

x = (-(-13) ± √((-13)^2 - 4 * 1 * -30)) / 2 * 1

x = (13 ± √(169 + 120)) / 2

x = (13 ± √289) / 2

x = (13 ± 17) / 2

So,

x = (13 + 17) / 2 = 15 or

x = (13 - 17) / 2 = -2

These are the two solutions to the equation. To check for extraneous solutions, we substitute x = 15 and x = -2 back into the equation and see if it is true.

Complete Question:

Find the solution(s) to[tex]\ln\left(x^2-30\right)=\ln\left(13x\right)\ln ( x^2 - 30 ) = ln( 13 x )[/tex]

Check for extraneous solutions.

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The quadratic function from the given graph is g(x)= -1/2 x². Therefore, option A is the correct answer.

A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.

The given function is f(x)=x².

From the given figure, graph of f(x) is

Direction: Opens Up

Vertex: (0, 0)

Focus: (0, 1/4)

Axis of symmetry: x=0

Directrix: y= -1/4

Direction: Opens Up

Vertex: (0, 0)

Focus: (0, -1/2)

Axis of symmetry: x=0

Directrix: y=1/2

So, the function is g(x)= -1/2 x²

Therefore, option A is the correct answer.

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Luis is  9.43 km from the starting point.

Let us assume that x represents the distance between the starting point and end point.

Let m be the east side distance and n be the northside diatnce.

Using Pythagoras theorem we find the distance between the starting point and end point i.e., the value of x.

x² = m² + n²

x = [tex]\sqrt{m^2+n^2}[/tex]

x = [tex]\sqrt{5^2+8^2}[/tex]

x = 9.43 km

Therefore, he is  9.43 km from the starting point.

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The complete question is:

Luis walks 5 kilometer due to east and 8 kilometer due to north. How far is he from the starting point?

Th different triangles that can you make if three property of the triangle is known and one side must be known, will be one.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

To specify the triangle, atleast one of the sides must be known and any other two property like side-angle, side-side, and angle-angle.

Th different triangles that can you make if three property of the triangle is known and one side must be known, will be one.

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The area occupied by the Nelson's column in London is 225πm².

Nelson's Column is a monument in London, England that stands 50m tall and has a diameter of 3m at the base. To find the area that it occupies, we must use the formula for the area of a cylinder.

The formula for the area of a cylinder is A = 2πr² + 2πrh, where r is the radius and h is the height. The radius of Nelson's Column is half of the diameter, or 1.5m.

Plugging these values into the formula, we get

=> A = 2π(1.5m)² + 2π(1.5m)(50m) = 225πm².

Therefore, the area occupied by Nelson's Column is 225πm².    

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Complete Question:

The height and column diameter of Nelson's column in London are approximately 50m and 3m respectively.

Then find the area it occupied