In a study of exhaust emissions from school buses, the pollution intake by passengers was determined for a sample of nine school buses used in the Southern California Air Basin. The pollution intake is the amount of exhaust emissions, in grams per person per million grams emitted, that would be inhaled while traveling on the bus during its usual 18-mile trip on congested freeways from South Central LA to a magnet school in West LA. (In comparison, a city of 1 million people will inhale a total of about 12 grams of exhaust per million grams emitted.) The amounts for the nine buses when driven with the windows open are given in the table. 1.15 0.33 0.40 0.33 1.35 0.38 0.25 0.40 0.35 Click to download the data in your preferred format. CSV Excel JMP Mac-Text Minitab14-18 Minitab18+ PC Text RSPSS TI Crunchit! J.D. Marshall et al. "Vehicle self-pollution intake fraction: Children's exposure to school bus emissions," Evironmental Science and Technology, 39 (2005), pp. 2559.2563 Give the 90% confidence interval with the outliers removed for the mean pollution intake among all school buses used in the Southern California Air Basin that travel the route investigated in the study. Note that the outliers are 1.15 and 1.35. Give your answers to three decimal places. I lower boundoutliers removed upper bound outliers removed

Answer:

Diamond has to pay more

Step-by-step explanation:

I got it correct

Answer:

jamal and then diamond

Step-by-step explanation:

right on edge

The correct answer is d. emergent.

An emergent leader is an individual who grows into the leadership role naturally, often due to circumstances or necessity. They are not appointed or assigned to the position of leadership but rather emerge from the group or organization based on their skills, qualities, or actions.

Emergent leaders may possess certain qualities or demonstrate their competence and ability to guide and influence others. They gain recognition and respect from their peers, leading to their emergence as leaders within the group or organization.

This type of leadership often occurs in situations where formal leadership structures may be absent or ineffective, and individuals step up to take charge based on their capabilities and the needs of the group.

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the angle of rotation is 180°. The parallelogram in quadrant I is the image of the parallelogram in quadrant II after a counterclockwise rotation about the origin.

The angle of rotation is 180°.

The parallelogram in quadrant I is the image of the parallelogram in quadrant II after a counterclockwise rotation about the origin. This means that the parallelogram in quadrant I has been rotated 180° (a full circle) relative to the parallelogram in quadrant II. Thus, the angle of rotation is 180°.

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Answer:

pq= 12 cm

Step-by-step explanation:

I believe PQ would be 12 cm.

The decreasing part of the curve has negative gradient, i.e for x = (-1.67, 1.67).

Given that,
C is the curve with the equation \(y=x^3-2x^2-15x+5\),
the domain for the negative gradient to g=be determined.

The slope is defined as the gradient of y relative to the x and also the tangent angle made by the line with horizontal. i.e. m =tanx where x in degrees.

Here, Curve c with \(y=x^3-2x^2-15x+5\) is plotted on the graph, when the curve has a negative gradient it implies that the curve is a decreasing curve so from this we can conclude that through the bof x  = (-1.67, 1.67) the curve is decreasing.

Thus, the decreasing part of the curve has negative gradient, i.e for x = (-1.67, 1.67).

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Answer:

∠BAD ≅ ∠BCD

Step-by-step explanation:

The complete equation is attached.

Two triangles are congruent to each other if all their three sides are equal to each other and all their three angles are equal to each other.

The angle side angle (ASA) congruence theorem states that two triangles are congruent if two angles of one triangle is equal to two angles of the other triangle and also if their included side are equal.

Since AB = BC, ∠ABD = ∠CBD. For ∠ABD ≅ ∠CBD based on ASA then ∠BAD ≅ ∠BCD

Answer:

90,000

Step-by-step explanation:

Answer:

option c is correct

hope it helps

Answer:

Every minute there are 14 shirts made so there would be 420 shirts made in 30 minutes. Y=14x

Step-by-step explanation:

Divide 1120 by 80 to get 14 then you multiply 14 by 30 to get 420

Then to get an equation you write the number of shirts made per minute and then plug in how many minutes you want.

The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

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The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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(a) The firm's output supply function is given by q = (p + 199) / 2.

(b) The market-equilibrium price is $32.56, and the equilibrium number of firms is 10.

(c) Each firm sells 70 computers in the long run.

(39 - 0.009q) = (2q - 2) / q

Simplifying the equation, we find:

q = (p + 199) / 2

This represents the firm's output supply function.

p = 39 - 0.009((p + 199) / 2)

Simplifying and solving for p, we get:

p ≈ $32.56

Substituting this price back into the output supply function, we find:

q = (32.56 + 199) / 2 ≈ 115.78

Given that each firm produces 70 computers in the long run, we can calculate the equilibrium number of firms:

Number of firms = q / 70 ≈ 10

70 * 10 = 700

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the width of the river is approximately 64.03 feet.

To determine the width of the river, we can use the concept of triangle similarity.

Let's assume that the river width is represented by the variable "x".

From the information given, we have a right triangle formed by the river, the fishing hole, and the campsite. The campsite is located 200 feet from the fishing hole, and the river width is the unknown side.

Using the Pythagorean theorem, we can set up the equation:

x^2 + 200^2 = (200 + 110)^2

Simplifying the equation:

x^2 + 40000 = 44100

x^2 = 44100 - 40000

x^2 = 4100

Taking the square root of both sides:

x = sqrt(4100)

x ≈ 64.03 feet

Therefore, the width of the river is approximately 64.03 feet.

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The values of the trigonometric functions are

7. \(sin\theta = \frac{12}{13}\)

\(cos\theta = \frac{5}{13}\)

\(tan\theta = \frac{12}{5}\)

\(csc\theta =\frac{13}{12}\)

\(sec\theta =\frac{13}{5}\)

\(cot\theta =\frac{5}{12}\)

8. \(sin\theta = \frac{\sqrt{7} }{4}\)

\(cos\theta = \frac{12}{16}\)

\(tan\theta =\frac{\sqrt{7} }{3}\)

\(csc\theta = \frac{4}{\sqrt{7} } \ OR \ \frac{4\sqrt{7}}{7}\)

\(sec\theta =\frac{16}{12}\)

\(cot\theta = \frac{3}{\sqrt{7}} \ OR \ \frac{3\sqrt{7}}{7}\)

From the question, we are to determine the values of the given trigonometric functions

7.

In the given triangle,

Opposite = 12

Adjacent = 5

Hypotenuse = ?

Hyp² = Opp² + Adj² (Pythagorean theorem)

∴ Hyp² = 12² + 5²

Hyp² = 144 + 25

Hyp² = 169

Hyp =√169

Hyp = 13

Using SOH CAH TOA

\(sin\theta = \frac{12}{13}\)

\(cos\theta = \frac{5}{13}\)

\(tan\theta = \frac{12}{5}\)

\(csc\theta =\frac{1}{sin\theta} =\frac{13}{12}\)

\(sec\theta =\frac{1}{cos\theta} =\frac{13}{5}\)

\(cot\theta =\frac{1}{tan\theta} =\frac{5}{12}\)

8.

Hypotenuse = 16

Adjacent = 12

Opposite = ?

Hyp² = Opp² + Adj² (Pythagorean theorem)

Opp² = Hyp² - Adj²

∴ Opp² = 16² - 12²

Opp² = 256 - 144

Opp² = 112

Opp =√112

Opp = 4√7

Using SOH CAH TOA

\(sin\theta = \frac{4\sqrt{7} }{16} = \frac{\sqrt{7} }{4}\)

\(cos\theta = \frac{12}{16}\)

\(tan\theta = \frac{4\sqrt{7} }{12}= \frac{\sqrt{7} }{3}\)

\(csc\theta =\frac{1}{sin\theta} =\frac{16}{4\sqrt{7} } = \frac{4}{\sqrt{7} } \ OR \ \frac{4\sqrt{7}}{7}\)

\(sec\theta =\frac{1}{cos\theta} =\frac{16}{12}\)

\(cot\theta =\frac{1}{tan\theta} =\frac{12}{4\sqrt{7}} = \frac{3}{\sqrt{7}} \ OR \ \frac{3\sqrt{7}}{7}\)

Hence, the values of the trigonometric functions are

7. \(sin\theta = \frac{12}{13}\)

\(cos\theta = \frac{5}{13}\)

\(tan\theta = \frac{12}{5}\)

\(csc\theta =\frac{13}{12}\)

\(sec\theta =\frac{13}{5}\)

\(cot\theta =\frac{5}{12}\)

8. \(sin\theta = \frac{\sqrt{7} }{4}\)

\(cos\theta = \frac{12}{16}\)

\(tan\theta =\frac{\sqrt{7} }{3}\)

\(csc\theta = \frac{4}{\sqrt{7} } \ OR \ \frac{4\sqrt{7}}{7}\)

\(sec\theta =\frac{16}{12}\)

\(cot\theta = \frac{3}{\sqrt{7}} \ OR \ \frac{3\sqrt{7}}{7}\)

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The total number of students in Class 705 is 32.

Let's start by using algebra to solve the problem. Let's assume that the total number of students in Class 705 is "x". We know that 12 students returned their permission slips on the first day, so the number of students who have not returned their slips is (x-12).

On the second day, 15% of the remaining students returned their slips, which means that 0.15(x-12) students returned their slips. We also know that a total of three permission slips were returned on the second day, so we can write an equation:

0.15(x-12) = 3

Simplifying this equation:

0.15x - 1.8 = 3

0.15x = 4.8

x = 32

Therefore, the total number of students in Class 705 is 32.

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Answer:

Sofia at 13.5 seconds

Step-by-step explanation:

These numbers aren't easily compared since they don't have the same number of digits.  Sofia's time of 13.5 seconds is less than that of the other two times, 13.524 and 13.51 seconds, but the lack of a zero after the 5 in Sofia's time is concerning.  If the other times were measured toi within a hundredth of a second, why not Sofia's time also?  Perhps her true time was 13.56 seconds, but the 0.05 was dropped.  She would be slower than the other two.  But, in the absence of helpful information, the only thing that can be said is that Sofia's time is reported to be less than either Jen and Ali.

Answer:

23

Step-by-step explanation:

To solve this question I have used some formula.

1. Formula to find the value of term

x + (term number - 1) × {(greater term number - smaller term number) ÷ (greater term containing value) - (smaller term containing value)}

2. Formula to find the value of x given in 1st formula

x = value containing by term - (term number - 1) × {(value containing by greater term - value containing smaller term) ÷ (6-4)}

Here greater term number means the value containing by the greater term. In this question greater term is 6 which contain a value in it that is 18. So, greater term number in this question is 18. So, smaller term number means the smaller term containing a value in it or the number containing by the greater term.

4th term = 8

To find the value of 7th term first we need to find the value of x.

              x = 8 - (4 - 1) × {(18 - 8) ÷ (6 - 4)}

              x = 8 - 3 × (10 ÷ 2)

              x = 8 - 3 × 5

              x = 8 - 15

              x = -7

Now, to check whether the value of x is -7, I have find the 4th term by replacing x with -7 in the 1st formula.

              = -7 + (4 - 1) × {(18 - 8)} ÷ (6 - 4)

              = -7 + 3 × (10 ÷ 2)

              = -7 + 3 × 5

              = -7 + 15

              = 8

Answer came 8 and its correct answer. So, the value of x is -7

I have also find the 6th term so you understand it more properly.

6th term = 18

              = -7 + (6 - 1) × [{(18 - 8)} ÷ (6 - 4)]

              = -7 + 5 × {(10 ÷ 2)}

              = -7 + 5 × 5

              = -7 + 25

              = 18

Answer of 6th term is also correct.

I think now you know how to find the 7th term.

7th term = -7 + (7 - 1) × {(18 - 8) ÷ (6 - 4)

              = -7 + 6 × (10 ÷ 2)

              = -7 + 6 × 5

              = -7 + 30

              = 23

If you think that I have made mistake anywhere or you did not understood my explanation than please ask me in comment or you can report this answer. But, before reporting please see carefully because, once any answer got reported you can't undo it.

A value at the center or middle of a data set is a measure of center. It  is a statistical value that represents the central or average value of a dataset.

In statistics, a measure of center refers to a value that represents the central tendency or average of a data set. It provides a single value that summarizes the central or typical value of the data. The measure of center is used to understand the central position or location of the data points.

Common measures of center include the mean, median, and mode. The mean is calculated by summing all the values in the data set and dividing by the total number of values. The median is the middle value of a sorted data set, or the average of the two middle values if there is an even number of values. The mode represents the value that occurs most frequently in the data set.

These measures of center help in understanding the central tendency of the data and provide a representative value around which the data points are distributed. They are useful for summarizing and analyzing data sets, allowing for comparisons and making inferences about the data.

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Answer:

Answer is C

Step-by-step explanation:

Because you divide each side by 2 because that is the scale factor

Answer:

David is 12 years old.

Step-by-step explanation:

Let r = Rebecca's age

Let d = David's age

let p = Dad's age

David is 3 times as younger than his dad:

d = \(\frac{p}{3}\)

David is 2 times older than Rebecca:

d = 2r

Rebecca is 30 years younger than the dad:

r = p-30

All three equations can be solved by a system

2r = \(\frac{p}{3}\)

r = p-30

multiplying r = p-30 by negative 2 and adding it to 2r = \(\frac{p}{3}\)

0 = (-2p + p/3) + 60

multiplying new equation by 3

0 = (-6p + p) + 180

5p = 180

p = 36

d = 36/3 = 12

Answer:

≥

..................................................

The Lewis dot structure for BF2 is:

 F     B     F

  \   /    

   B    

  /   \

 F     B     F

In this molecule, there are three atoms (one boron and two fluorine) and a total of 12 valence electrons. Boron is in group 3, so it has 3 valence electrons, while each fluorine atom has 7 valence electrons.

To form the Lewis dot structure, we first place the atoms in a linear arrangement. Each fluorine atom shares one electron with the boron atom, giving a total of two shared electrons (or one bond) between the boron and each fluorine atom. This gives us a total of four electrons (or two bonds) between the boron and the two fluorine atoms.

The remaining four electrons are placed as nonbonding electron pairs around each fluorine atom to satisfy the octet rule. Therefore, there are a total of two bonding domains and two nonbonding electron domains around the boron atom. The electron domain geometry is tetrahedral, and the molecular geometry is linear.

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Answer:

7.5 feet

4/5=6/x

cross multiply

4x=30

x=7.5

Step-by-step explanation:

Answer:

7.5 feet

Step-by-step explanation:

Answer:

Answer is Un-defined.

Step-by-step explanation:

5(1 - 1)/ (1 + 1)(1 - 1)

=> 5(0)/(2)(0)

=> 0/0

=> Answer is Un-defined.

Hoped this helped.

Answer:\(2^{x}\) = 16

Step-by-step explanation:

Now, ORQ is a straight angle and RS its bisector.

It means:

So, ∠ORS and ∠QRS are supplementary.

We also have ray RP, that divides the angles ORQ and QRS.

It gives us one more pair of supplementary angles:

Since ∠QRS is right angle, its parts are forming a pair of complementary angles: