Consider the hypothesis test below. H. : P1 – P2 <0 Hq : P1 – P2 > 0 The following results are for independent samples taken from the two populations. Sample 1 Sample 2 ni = 100 n2 = 300 P1 = = 0.24 P2 = 0.15 Use pooled estimator of p. a. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. b. With a = 0.05, what is your hypothesis testing conclusion? - Select your answer -

Answers

Answer 1

a. To find the p-value, we first need to calculate the test statistic:

z = (p1 - p2) - 0 / sqrt(pooled(1 - pooled)(1/n1 + 1/n2))

where pooled = (n1p1 + n2p2) / (n1 + n2)

pooled = (1000.24 + 3000.15) / (100 + 300) = 0.174

z = (0.24 - 0.15) - 0 / sqrt(0.174(1-0.174)(1/100 + 1/300)) = 1.732

Using Table 1 from Appendix B, the p-value is approximately 0.0418.

b. Since the p-value (0.0418) is less than the significance level (0.05), we reject the null hypothesis H0 and conclude that there is evidence to support the alternative hypothesis Ha, which is that P1 - P2 > 0. Therefore, we can infer that the proportion of success in population 1 is higher than that in population 2.

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Related Questions

1. A contractor is building a new room onto the back of
Darnell's house. The contractor adds a diagonal brace to
the frame of one of the walls. The frame is 15 feet long
and 8 feet tall. How long is the diagonal brace?

Answers

Answer:

the answer is 23

Step-by-step explanation: use the formala of a triangle

which means you either add or subtract the sides and since it is the big side you  are missing you have to add and when you do you get 23

what is the round up form of 52.149 in the nearest hundreths​

Answers

Answer:

52.15

Step-by-step explanation:

52.149

Since last digit is 9,

The tenth digit, which is 4 gets rounded to 5.

Therefore answer: 52.15

Answer: 52.15

Step-by-step explanation: you would round to .05 because the 9 is bigger than five. greater than five round up less than 4 keep the same :) hopes this helps

Matthew's curtain company is making curtains for a local hotel. he wants each curtain to be 36 inches long. at the fabric store, fabric is sold by the foot. if matthew's curtain company wants to make 74 curtains, how many feet of fabric will he need?

Answers

Matthew will need 222 feet of fabric to make 74 curtains.

According to the question,

We have the following information:

Required length of each curtain = 36 inches

Total number of curtains to be made = 74

Now, the total length of the fabric needed to make 4 curtains can be found by multiplying length of one curtain by total number of curtains.

So, we have the following expression:

36*74

2664 inches

Now, we will convert this into feet:

1 inch = 1/12 foot

2664 inches = 2664/12 feet

2664 inches = 222 feet

Hence, Matthew will need 222 feet of fabric to make 74 curtains.

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POSSIBLE POLYGONS Determine if it is possible for a regular polygon to have an interior angle with the given angle measure. Explain your reasoning a. 165 b. 171 c. 75 d. 40​

Answers

Answer:

yes for all 4.

Step-by-step explanation:

I am not sure I see the whole information.

but if the question truly is simply, whether a polygon can have an internal angle of 165 or 171 or 75 or 40 degrees, then the answer is a resounding yes to all 4.

the simplest polygon is a triangle.

the sum of all angles in a triangle is always 180 degrees.

so, any angle smaller than 180 degrees is a possible internal angle in a triangle (and therefore in polygons in general), because the difference to 180 can then be split into 2 angles (e.g. half/half).

so, if one angle is 165 degrees, then the other two angles have to have 15 degrees together (e.g. 10 and 5, or 7 and 8, or 2 and 13, or ...). they will be narrow angles, but they are still angles.

similar for 171 degrees. now the other two angles have to have only 9 degrees together. like 5 and 4.

for 75 degrees the other two angles must have 180-75 = 105 degrees together. like 20 and 85.

for 40 degrees the other two angles must have 180-40 = 140 degrees together. like 90 and 50.

which of the following is (are) time series data? i. weekly receipts at a clothing boutique ii. monthly demand for an automotive part iii. quarterly sales of automobiles

Answers

i. weekly receipts at a clothing boutique

ii. monthly demand for an automotive part

Which data sets represent time series data?

Time series data refers to information collected and recorded at regular intervals over a specific period. In the case of i. weekly receipts at a clothing boutique and ii. monthly demand for an automotive part, both data sets are examples of time series data.

Time series data consists of observations recorded over regular intervals, allowing for the analysis of patterns and trends over time. In i. weekly receipts at a clothing boutique, the data is collected on a weekly basis, providing insights into the boutique's revenue fluctuations over different weeks. Similarly, ii. monthly demand for an automotive part captures the demand for the part on a monthly basis, enabling analysis of monthly variations and seasonal patterns.

On the other hand, iii. quarterly sales of automobiles do not fall under time series data. While it represents sales data, the intervals between measurements are not consistent enough to qualify as time series. Quarterly intervals are less frequent and may not capture shorter-term trends or variations as effectively as weekly or monthly intervals.

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a sixth grade student can complete 20 multiplication facts in one minute if you works at the same rate how long should it take him to complete 35 multiplication facts? [type answer as decimal number.]​

Answers

Answer:

It should take him 1.75 minutes to complete 20 multiplication facts, which is the same thing as 1 minute and 45 seconds, or 105 seconds.

Step-by-step explanation:

a. If it takes him one minute to complete 20 multiplication facts, that's 3 seconds per question, because 60/20 = 3.

b. Multiply 3 x 35 questions to get 105 seconds.

c. Divide 105 seconds by 60 seconds (60 in a minute) to get 1.75 minutes, which is the same thing as 105 seconds.

Hope this helps! Feel free to give me Brainliest if you feel this helped. Have a good day and good luck on your assignment. :)

Answer:

The answer is 1.75 minutes :)

Step-by-step explanation:

I used my calculator to figure this one out.

Please help me with this math problem!!!

Please help me with this math problem!!!

Answers

Answer:

A) 840 Miles

B) 14 Milers per Gallon

Step-by-step explanation:

A) 350/24 = 14 miles per gallon

14 X 60 = 840 miles.

B) 350/24 = 14 miles per gallon

A normal population has a mean of $75 and standard deviation of $5. You select random samples of 40. a Apply the central limit theorem to describe the sampling distribution of the sample mean with » = 40. What condition is necessary to apply the central limit theorem?

Answers

The Central Limit Theorem states that for a random sample of n observations drawn from any population with a finite mean μ and a finite standard deviation σ, the sampling distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.

To apply the Central Limit Theorem, the following condition is necessary:

1. The random sample should be selected from a population that has a finite mean (μ) and a finite standard deviation (σ).

In this case, the population mean is given as $75 and the population standard deviation is given as $5. Since both the mean and standard deviation are finite, the condition for applying the Central Limit Theorem is satisfied.

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Find each missing measure.

Find each missing measure.

Answers

Answer:

Each angle is 60 degrees

Step-by-step explanation:

The sides of the triangle are equal, which means the angles are equal. Since the sum of the interior angles of a triangle are 180 degrees, each angle is 180/3 = 60 degrees.

For some reason, in our history class, there are 14 more boys than there are girls. If a total 32 students are in the class, how many boys and how many girls are there

Answers

Answer:

We can assume X is the number of girl, so the number of boy should be X+6.

 

Based on question, we can get X+X+6=32

2X+6=32

2X=26

X=13

So the answer is, 13 girls are in the class.

Step-by-step explanation:

(10 points) suppose two fair dice are rolled. find each probability of getting (a) a sum of 5 or sum of 7 (b) the first die shows a 3 or the sum of the result is 6 or 8

Answers

The required probability of a sum of 5 or sum of 7 and the first die shows a 3 or the sum of the result is 6 or 8 are 5/18 and 1/18 receptively.

What is probability?

Probability is just the way that logical something is to occur. Whenever we're uncertain about the result of an occasion, we can discuss the probabilities of specific results — how likely they are. The investigation of occasions administered by likelihood is called statistics.

According to given data:

Two fair dice are thrown then the number of  possible way is 6×6 = 36

a) a sum of 5 or sum of 7 :-

The total possible way for dice occurs sum 5 or sum 7 is (1, 4), (2, 3), (3, 2), (4, 1), (1, 6), (2, 4), (3, 4), (4, 3), (5, 2), (6, 1).

So, the total number possible way for dice occurs sum 5 or sum 7 = 10.

Probability = 10/36 = 5/18

Hence, the probability is 5/18.

b) The first dice shows 3 or the sum of the result is 6 or 8 :-

As, first dice shows 3 we have fixed 3 in first dice or results sum is 6 or 8 then second dice possibilities only consist two number either 3 or 5,

So, total possible ways for first dice shows 3 or sum of result is 6 or 8 is (3, 3), (3, 5).

There are only two ways,

Therefore, probability = 2/36 = 1/18

Hence, the probability is 1/18.

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examples of integers

Answers

Answer: It is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043

Slope of (-2, 5) and (-1, 3)

Answers

Hi student, let me help you out! :)

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

We are asked to find the slope of

\(\star~\mathrm{(-2,5)}\)

\(\star~\mathrm{(-1,3)}\)

This can be done with the help of the slope formula:

\(\star~\mathrm{\cfrac{y2-y1}{x2-x1}}\)

Where

y2 and y1 are y-coordinates

x2 and x1 are x-coordinates

Substitute the values:

\(\mathrm{\cfrac{3-5}{-1-(-2)}}\)

\(\mathrm{\cfrac{-2}{-1+2}}\)

Upon simplifying,

\(\mathrm{\cfrac{-2}{1}}\)

Finally,

\(\bigstar~\mathrm{\underline{Slope=-2}}\)

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

Answer: Slope = -2

Step-by-step explanation:

Slope = change in y/change in x

Slope = y2-y1/x2-x1

Substitue:

Slope = 3-5/-1-(-2)

Solve:

Slope = -2/1

Simplify:

Slope = -2

Suppose that f is a positive function with f
′′
(x)<0 for a≤x≤b. Show that, for any choice of n T
n

<∫
a
b

f(x)dx n

(b) Find an example of a function f(x), a positive integer n≥2, and an interval [a,b] where T
n

and M
n

are either both underestimates or both overestimates of ∫
a
b

f(x)dx.

Answers

To show that for any choice of n, T_n < ∫(a to b) f(x)dx, we can use the Trapezoidal Rule. The Trapezoidal Rule approximates the definite integral of a function by dividing the interval [a, b] into n subintervals of equal width, and approximating the area under the curve with trapezoids.



For each subinterval, the trapezoid's area is given by (h/2)(f(x_i) + f(x_i+1)), Since f''(x) < 0 for a ≤ x ≤ b, it implies that f'(x) is decreasing. Therefore, as we divide the interval into more subintervals (i.e., increase n), the function values will decrease. This means that the trapezoids will underestimate the area under the curve, leading to T_n < ∫(a to b) f(x)dx.

For an example where T_n and M_n are both underestimates or both overestimates, consider the function f(x) = x^2, the interval [a, b] = [0, 2],

and n = 2.
Using the Trapezoidal Rule, we have T_2 = (2/2)(f(0) + f(1) + f(1) + f(2))

= (1/2)(0 + 1 + 1 + 4)

= 3.
For the definite integral, we have ∫(0 to 2) f(x)dx = ∫(0 to 2) x^2 dx

= [1/3 x^3] (0 to 2)

= (8/3).

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Write the explicit formula (function) to represent the arithmetic sequence below:
8, 13, 18, 23, ...

Answers

The formula is 5n+3
You generate this by;
You get the rule of the sequence in this case it’s rule is 5 by this I mean like you add five to a number to get the next number

Then you get the first number, in this case it’s 8
And then in to brackets (n-1)
8+5(n-1)
= 5n+3
The first number has to come first then you add it with the rule

Am not really good at explaining though I hope this helps

Please help! I don't really understand this.

Please help! I don't really understand this.

Answers

Step-by-step explanation:

11.

Area of rectangle = 408 in²

Length = 3x-2 and width = x

The area of a rectangle is given by :

A = lb

(3x-2)x = 408

x = 12 inch and x = -11.33 in

Neglecting negative value,

The width of rectangle = 12 inch

The length of rectangle = 3x-2 = 3(12)-2 = 34 inch

12.

Base of triangle = 2x+2

Height = x

The area of a triangle is given by :

\(A=\dfrac{1}{2}bh\\\\600=\dfrac{1}{2}\times (2x+2)x\\\\600=(x+1)x\)

x = 24 cm and x = -25 cm

Neglecting negative value, x = 24 cm

Base = 2x+2 = 2(24)+2 = 50 cm

Hence, this is the required solution.

certain standardized math exams have a mean of 100 and a standarad deviation of 60. of a sample of 36 students who take this exam, what percent could you expect to score above 110

Answers

Using the Normal Z-distribution and the values from the Z-table, We can calculate that 12.5% can be expected to score between 70 and 90 according to the value of the mean and standard deviation provided.

A unique type of normal distribution with a mean of 0 and a standard deviation of 1 is known as the standard normal distribution or z-distribution. By transforming the values of any normal distribution into z scores, it is possible to standardize it.

mean =100

standard deviation =60

70≤ x ≤ 90

70 - 100 ≤ x - 100 ≤ 90 -100

-0.5 ≤  Z ≤ -0.167

P = 0.125(From Z-Table)

Required percentage  = 12.5%

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The correct question is:

certain standardized math exams have a mean of 100 and a standard deviation of 60. of a sample of 36 students who take this exam, what percent could you expect to score between 70 and 90?

#13 suppose Q is the midpoint of PR

#13 suppose Q is the midpoint of PR

Answers

Answer:

PQ = 31

Step-by-step explanation:

Assuming you're the same person I helped before and this still has Q as the midpoint of PR, we get PQ = QR.

\(PQ=2x+1=QR=5x-44\\2x+1=5x-44\\1=3x-44\\45=3x\\15=x\\x=15\\\\PQ=2(15)+1\\PQ=30+1\\PQ=31\)

Solution :

In the given question, P is mid point of PQ, therefore

PQ = QR

let's solve for x :

\( \hookrightarrow \: 2x + 1 = 5x - 44\)

\( \hookrightarrow \: 5x - 2x = 1 + 44\)

\( \hookrightarrow \: 3x = 45\)

\( \hookrightarrow \: x = 45 \div 3\)

\( \hookrightarrow \: x = 15\)

now, let's find measure of PQ :

\( \hookrightarrow \: PQ = 2x + 1\)

\( \hookrightarrow \: PQ = (15 \times 2) + 1\)

\( \hookrightarrow \: PQ = 30 + 1\)

\( \hookrightarrow \: PQ = 31 \: \: units\)

Inverses, contrapositives and converses. Below are examples of mathematical statements you’ll encounter in this class. Assume x, y, a, b, c are integers.
If the difference x − y is even then x and y are also even.
If a divides b or a divides c then a divides bc. (Note: a divides b means that the fraction b/a is an integer. For example, 3 divides 6 but 3 does not divide 7.)
If x2 ≥ 100 and x ≥ 0, then x ≥ 10.
(i) (9 pts.) State the inverse, contrapositive and converse of each statement above. When possible, avoid using the word "not." Instead, replace "not even" with "odd", etc.
Recall that for P → Q,
contrapositive: ¬Q →¬P
converse: Q → P
inverse: ¬(P → Q) = ¬(¬P ∨ Q) = P ∧ ¬Q
(ii) (3 pts.) Then indicate their truth values. Thus, for each statement you must determine whether the statement itself, its inverse, contrapositive and converse are true or false. That’s four true/false answers for each statement.

Answers

1. Statement: True

Inverse: True

Contrapositive: True

Converse: True

2. Statement: True

Inverse: True

Contrapositive: True

Converse: True

3. Statement: True

Inverse: True

Contrapositive: True

Converse: True

(i)

Statement: If the difference x - y is even, then x and y are also even.

Inverse: If x and y are not even, then the difference x - y is not even.

Contrapositive: If x and y are not even, then the difference x - y is not even.

Converse: If x and y are even, then the difference x - y is even.

Statement: If a divides b or a divides c, then a divides bc.

Inverse: If a does not divide b and a does not divide c, then a does not divide bc.

Contrapositive: If a does not divide b and a does not divide c, then a does not divide bc.

Converse: If a divides bc, then a divides b or a divides c.

Statement: If x^2 ≥ 100 and x ≥ 0, then x ≥ 10.

Inverse: If x^2 < 100 or x < 0, then x < 10.

Contrapositive: If x^2 < 100 or x < 0, then x < 10.

Converse: If x ≥ 10, then x^2 ≥ 100.

(ii)

For each statement, we need to evaluate the truth values of the statement, inverse, contrapositive, and converse.

Statement: True

Inverse: True

Contrapositive: True

Converse: True

Statement: True

Inverse: True

Contrapositive: True

Converse: True

Statement: True

Inverse: True

Contrapositive: True

Converse: True

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Which of the following situations are equal to 30%? Select all that apply A) 27 out of 90 B) 12 out of 36 C) 50 out of 80 D) 9 out of 30 E) 6 out of 24​

Answers

Answer:

27 out of 90; 9 out of 30

Solve the system for x, y, and z:

4x-2y+6z=10
x+3y+z=16
5y-z=19​

Answers

Answer:

x=3

y=4

z=1

Step-by-step explanation:

4x-2y+6z=10

-(4x+12y+4z=64)

= -14y+2z=-54

= -7y+z=-27

-7y+z=-27

+(5y-z=19​)

= -2y=-8

y=4

5(4)-z=19

20-z=19

z=1

x+12+1=16

x=3

Help pls I need help with sand and a word with my

Help pls I need help with sand and a word with my

Answers

Answer: X= 4/5x + 8

Step-by-step explanation: Distribution factor

write the following ratio in their simplest form (a)150minutes:1 1/2 hours (b) 150cm:1060mm ​

Answers

Answer:

a) 5:3

b) 7.5:5.3

Step-by-step explanation:

150min : 90min (1 and a half hour)

10 : 6

5 : 3

150 × 10 mm : 1060 mm

1500 : 1060

750 : 530

7.5 : 5.3

How many F ratios (i.e. F statistic values) are figured in a two-way analysis of variance known as a 2x2 Factorial Design?
a) as many as there are cells in the design
b) 2
c) 3
d) 1

Answers

Therefore, the correct answer is c) 3, as there are three F ratios calculated in a 2x2 factorial design.

How many F ratios in a 2x2 Factorial Design?

In a two-way analysis of variance (ANOVA) known as a 2x2

factorial design, there are three F ratios or F statistic values calculated. This design involves two independent variables, each with two levels or categories.

The three F ratios represent the main effects of each independent variable and the interaction between the two variables.The main effects F ratios determine whether there are significant differences between the levels of each independent variable individually, ignoring the other independent variable.

There will be two main effects F ratios, one for each independent variable.The interaction F ratio examines whether there is a significant interaction between the two independent variables. It determines whether the effect of one independent variable differs across the levels of the other independent variable.

This F ratio assesses the joint influence of both independent variables.

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Product of square of x and cube of y

Answers

Where’s the image? I don’t see it

Last Sorry...Remember I am slow

Last Sorry...Remember I am slow

Answers

Answer:

rosewood

Step-by-step explanation:

PLEASE HELP ME!!! WILL GIVE BRAINLIEST! PLEASE IT SHOULD BE EASY FOR SOMEONE WHO ISNT SUPER SICK!!

PLEASE HELP ME!!! WILL GIVE BRAINLIEST! PLEASE IT SHOULD BE EASY FOR SOMEONE WHO ISNT SUPER SICK!!

Answers

Answer:

The answer is 1530 cubic centimeters

Step-by-step explanation:

9 x 10 x 9 + 10 x 4 x 18

810 + 720

1530 cubic centimeters

If you could visit anybody like even people who passed who would it be?

Answers

Answer:

Kobe Bryant

Step-by-step explanation:

He is the goat

Answer:

Juice WRLD

Step-by-step explanation:

Because he da GOAT

number 7 please
7. Determine the approximate location of a GPS receiver if it has been determined that: (4 mark) - Station 1 (at 74, 41) is \( 44 \mathrm{~km} \) away. - Station \( 2( \) at 0,43\( ) \) is \( 38 \math

Answers

If Station 1 (at 74, 41) is 44 km away and Station 2( at 0,43 ) is 38 km away. The required approximate location of the GPS receiver is (42, 10).

The location of the GPS receiver can be determined with the help of trilateration. Trilateration is a process of determining absolute or relative locations of points by measurement of distances, using the geometry of circles, spheres, or triangles. If three stations (or more) are in known locations, with a known distance from the point of interest, we can determine the position of the GPS receiver with the help of trilateration.

It can be determined by the following method:

1: Plot the given stations on a coordinate plane. Stations are:

Station 1: (74, 41)

Station 2: (0, 43)

2: Calculate the distance of the GPS receiver from each station using the distance formula.

Distance Formula: The distance formula is used to find the distance between two points in the coordinate plane. The distance between points (x1,y1) and (x2,y2) is given by

d = √[(x2 - x1)² + (y2 - y1)²]

Station 1: Distance from station 1 = 44 kmSo, d1 = 44 km

Station 2: Distance from station 2 = 38 kmSo, d2 = 38 km

3: Plot the given distances as the circle on the coordinate plane.

Circle 1: Centred at (74, 41) with a radius of 44 km.

Circle 2: Centred at (0, 43) with a radius of 38 km.

4: The intersection of two circles. Circle 1 and Circle 2 intersect at point P (approx) (42, 10). So, the approximate location of the GPS receiver is (42, 10).

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What is an equation of the line that passes through the points (-3, 8) and (-2, 3)?

Answers

Answer:

y = -5x - 7

Step-by-step explanation:

(Change in y) / (Change in x)

(3-8) / (-2 - (-3))

-5 / 1

-5 is the slope

So far we have y = -5x

Plug in a set of values and find the difference

3 = -5(-2)

3 = 10

This is false

We need to subtract 7

Our equation therefore is

y = -5x - 7

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When an object is dilated , the resulting image is congruent to the pre image . How is inequality in Indian society justified? Use evidence fr om the Rigveda and The Laws of Manu to justify your answer. an effective technique to use in the conclusion of your speech to reinforce the central idea is to refer to don'ts practice to be avoided in seating guest. pls give 5 examples. calculate the number of each atom in 2.5 gram of caco3 To USE ThE DEFINITION OF DERIVATIVE to Find f(X) WHEN f(x) = 4x^2 -7X Find y' : ] A)Y^2x^3 e^5x2B)Y=tan^-1 (3x^2+5)C)y = sin4 (X^2 + 1)D)y=x^3+2 / x^2+5x a. Set up an expression calculate the area of the region between xy = 4, x = 1 and y = 2 (integrating with respect to x). Simplify the integral completely, and do not evaluate the integral. b. Set up an expression to calculate the area of the region between xy = 4, x = 1 and y = 2 (integrating with respect to y). Simplify the integral completely, and do not evaluate the integral. a block of mass m is pulled along a rough horizontal floor by an applied force as shown. the vertical component of the force exerted on the block by the floor is: every state has a(n) that consists of people who are unable to obtain auto insurance due to the high risk they present. umbrella liability insurance coverage is auto insurance that pays for your injuries when the other driver is legally liable but unable to pay. personal injury protection (pip) coverage is auto insurance that protects you from damage to your car from causes other than collision or vehicle overturning. assigned risk pool is auto insurance in which drivers receive reimbursement for their expenses from their own insurer, regardless of who caused the accident. uninsured/underinsured motorist a(n) is any violation of the law committed by the driver of a vehicle while it is in motion. comprehensive serious traffic offenses that may incur fines as well as jail time are called . no-fault insurance coverage is auto insurance that protects your own car against damage from accidents or vehicle overturning. moving violation is auto insurance that pays for medical, hospital, and funeral costs of the insured and his or her family and passengers, regardless of fault. misdemeanors supplements basic auto and personal liability coverage by expanding limits and including additional risks. collision _____ is an insignificant value per share of capital stock specified in the corporate charter. Multiple choice question. Seasoned value Treasury Stock Par value Additional Paid-in Capital Determine if the two figures below are congruent. Use the drop-down menus below to justify why. Which point on Figure 2 corresponds to point PP on Figure 1? liquid polymer is supplied to a water treatment plant as an 8% solution. how many gallons of liquid polymer should be used to make 55 gallons of a 0.5% polymer solution? Evaluate the double integrals. 1 20) (x + 5y) dy dx -3 S A) -16 B) - 6 C) -112 D) -13 42.-3 4If 4 =and B-what is the solution to the equation AX = B?-7 -35-34O4 - 12/3718,3 111911-142624-431-11Save and ExitMark this and return Why does Thoreau think that conscience rather than the majority should govern the state? On a recent math assignment consisting of 32 problems, Wendy had 5 application problems, and therest involved only computation. What percent of the problems were only computation? one of the goals of delivering bad news is to regain the confidence of the receiver. a. true b. false Kaycee made 8 identical bags using 7 yards of fabric. How much fabric did Kaycee use for each bag? A box is at rest on a slope with an angle of 30.0o to the horizontal. If the mass of the box is 20.0kg, what is the perpendicular component of the weight? (10 points) Indicate whether the statement is true or false. a. Virtual is associated with a negative sign. b. Light does not actually pass through a real focus. c. A minus magnification means the ima