suppose the lifetime of a particular brand of tire for cars is approximately normally distributed with a mean of 48,000 miles and standard deviation of 3,000 miles. step 1 of 2: what is the probability that a single tire randomly selected from the population will have a lifetime between 46,800 and 49,200 miles? round your answer to 4 decimal places if necessary.

Answers

Answer 1

0.3108 is the probability that a single tire randomly selected from the population will have a lifetime between 46,800 and 49,200 miles

What is probability?

Probability is a mathematical discipline that concerns with numerical figures of how probable an occurrence is to occur or how probably a statement is to be true. A number between 0 and 1 is the probability of an occurrence, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

X ~ N ( µ = 48000 , σ = 3000 )

As we know, P ( 46800 < X < 49200 )

Standardizing the  value, we get -

Z = ( X - µ ) / σ

Z = ( 46800 - 48000 ) / 3000

Z = -0.4

Z = ( 49200 - 48000 ) / 3000

Z = 0.4

Also,

P ( -0.4 < Z < 0.4 )

P ( 46800 < X < 49200 ) =  P ( Z < 0.4 ) - P ( Z < -0.4 )

P ( 46800 < X < 49200 )  = 0.6554 - 0.3446  (Probability calculated from Z table)

P ( 46800 < X < 49200 )  = 0.3108

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Related Questions

POINTS UP FOR GRABS!!!!! URGENT!! POINTS UP FOR GRABS!!!!! Match the explanation below to the number above. Question is below. I need the full order please! Thank you so much!

BIG POINTS!

Answers

Without using the triangle sum theorem, the proof that shows that m∠G + m∠K + m∠GHK = 180° is proved below.

What is the Triangle Angle Sum Theorem?

Based on the triangle angle sum theorem, all the interior angles in a triangle will add up to the sum of 180 degrees.

The complete proof that shows that m∠G + m∠K + m∠GHK = 180 degrees is explained below.

Statement                                    Reason                                          

1. GK║HJ                                     1. Given

2. ∠G ≅ ∠IHJ                              2. Corresponding angles theorem

3. ∠K ≅ ∠JHK                             3. Alternate interior ∠s theorem

4. m∠IHK = m∠IHJ + m∠JHK     4. Additive property of angle measure

5. m∠IHK = m∠G + m∠K            5. Substitution

6. m∠IHK + m∠GHK = 180°        6. Angles forming a linear pair sum of 180°

7. m∠G + m∠K + m∠GHK = 180° 7. Substitution

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if anna divides the ingredients equally into 4 pots and she has 2/3 onions how many cups of onions will she need in each pot

Answers

Anna will need 1/2 cup of onions in each pot. This is because 2/3 of a cup is equal to 4/6 of a cup, and when divided by 4 pots, the result is 1/2 cup of onions in each pot.

What is ingredient?

An ingredient is a substance that is used as part of a recipe or product formulation. Ingredients are the components of a mixture that are used to produce a food, beverage, cosmetic, pharmaceutical, or other product. Ingredients can be natural, such as water, spices, and herbs, or man-made, such as preservatives, colorings, and flavorings. The amount and type of each ingredient used in the formulation of a product determines its properties and characteristics.

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A garden contains secral diffrent types of flowers in the garden 2/3 of the flowers are roses of the roses 1/5 of the flowes are white and 3/5 of the flowers are pink. What fractin of the total flowers in the garden are white or pink?

Answers

The total flowers in the garden white or pink is 8/15.

What is fraction?

The components of a whole or group of items are represented by fractions. A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line.

In our garden, there are 2/3 total roses, making the total number of blooms that aren't roses 1/3

4/5 = 2/3 +1/3.

Since 3 is a division of 6, we must multiply by 6 to arrive at the solution.

4 x 6 =24

5 x 6 =30

24/30

Next, we calculate half of 30 and add it to get 3/3.

Then we find 1/2 of 30 and add this to make 3/3

Just like 1/2 of 2 = 1 and 2+1 = 3

30 / 2  = 15

15 + 30 =45

The answer is 24/45

We then reduce this fraction by 3 as 6 + 8 do not divide into 45

24/45 = 8/15

The total flower in the garden is 8/15

The proportion of white or pink flowers in the entire garden is 8/15.

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Line L is the perpendicular bisector of segment WY, Z is a point on L.

NIcholas noticed that WXZ and YXZ are congruent based on side-angle-side congruency postulate.

What theorem can we prove using these congruent triangles?
Choose 1 answer:

A. Vertical angles are congruent.
B. Measures of interior angles of a triangle sum to 180\degree180°180, degree.
C. A point on the perpendicular bisector of a line segment is equidistant from the segment’s endpoints.
D. Any line segment is congruent to itself because every point on the segment maps to itself.

Answers

Given that WXZ and YXZ are congruent based on side-angle-side congruency, we can prove the theorem that states "A point on the perpendicular bisector of a line segment is equidistant from the segment’s endpoints." This theorem is often referred to as the "Perpendicular Bisector Theorem."

The required details for "Perpendicular Bisector Theorem" in given paragraph

The Perpendicular Bisector Theorem states that if a point is on the perpendicular bisector of a line segment, then it is equidistant from the segment's endpoints. This means that if we draw a line through a point that is perpendicular to a line segment, and that line passes through the midpoint of the segment, then the point is equidistant from the endpoints of the segment. In this case, we are given that line L is the perpendicular bisector of segment WY, and that Z is a point on L. We are also told that WXZ and YXZ are congruent based on side-angle-side congruency. Since WXZ and YXZ are congruent, it follows that WX and YX are congruent and that WZ and YZ are congruent. This means that the distances from Z to W and Y are equal, so Z is equidistant from W and Y.

Therefore, we can conclude that Z is a point on the perpendicular bisector of segment WY, and the Perpendicular Bisector Theorem is proved. The answer is C. "A point on the perpendicular bisector of a line segment is equidistant from the segment’s endpoints."

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For the month of April, a checking account has a balance of $501 for 23 days, $2428 for 3 days, and $241 for 4 days. What is the account’s mean daily balance for April?

Answers

The account’s mean daily balance for April will be $105.7.

What is a mean?

Mean is the total added values of all the data in a set divided by the number of data in the set.

The account had the following balances;

$501 for 23 days

$2428 for 3 days

$241 for 4 days.

To find the mean; add the total amount and divide by the total number of days

[tex]mean = \frac{501 + 2428 + 241}{23 + 3 + 4}[/tex]

[tex]mean = \frac{3170}{30}[/tex]

mean = $105.7

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PLEASE HELP RIGHT NOW

What is 3N?

Answers

Answer:

the answer is D. the 3 is simply a scalar multiple so multiply each term by 3

Answer:

D

Step-by-step explanation:

I believe that it's D since all you have to do is multiply 3 by each of the numbers that are supposedly n.

Two water tank are hown. Tank A i a rectangular prim and Tank B i a triangular prim Tank A i filled with water to the 6-meter mark ome of the water from tank A i being tranferred to Tank B o that the water in tank a i at 2 meter. Shade the amount of water in tank B to indicate the approximate height of the water in tank bafter the tranfer alo write the height, to the nearet whole number of meter, in the pace provided

Answers

The water tank's illustrated prism will stand 8 meters tall.

What is a Prism?

Prisms are significant polyhedron family members with congruent polygons at the base and top.

A prism's other faces are referred to as its lateral faces. It denotes that a prism's face is not curved.

The cross-section of a prism is constant along its length. The names of the prisms are determined by their cross-sections. The best example of a prism that best represents a real-world object is a metallic nut.

A rectangular prism that best represents a real-world object is a fish aquarium.

According to our question-

The following formula will be used to determine the triangle prism's base's area:

= 1/2 × 4 × 9

= 18m²

The rectangular tank's water will be drained of the following volume:

= (6 × 6) × 4

= 144m³

As a result, the height will be determined as follows:

18 × h = 144

18h = 144

h = 144/18

h = 8m

Hence, The water tank's illustrated prism will stand 8 meters tall.

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Solve the following absolute value inequality, then select the correct graph:



\mid r\mid-3>2∣r∣−3>2


Solve the following absolute value inequality, then select the correct graph:



\mid r\mid-3>2∣r∣−3>2

Answers

The solution for the inequality |r| - 3 > 2 is r < -5 or r > 5.

What is inequality?

Inequality shows relation between two expression which are not equal to each others.

The given inequality is,

|r| - 3 > 2.

Simplify the inequality,

|r| > 5,

Implies that,

r < -5 or r > 5

Interval notation (-∞, -5) ∪ (5, ∞).

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Round 14.5621 to the nearest hundredth. Do not include extra zeros in your answer.​

Answers

Answer:

14.56 

Step-by-step explanation:

12x^2+17x=5 answer with factoring, answers may be a fraction?

Answers

Answer:

Step-by-step explanation:

12x^2+17x = 5

12x^2+17x-5 = 0

(4x - 1)(3x+5) = 0

Solve (4x-1) and (3x +5)

4x - 1 = 0

4x = 1

x = 1/4

3x + 5 = 0

3x = -5

x = -5/3

x = { 1/4, -5/3 }

NEED HELP PLSSS
Just need to explain why is it wrong

Answers

Here’s what it should look like, the shading for the function 1/2x+2 is on the wrong side of the line it’s supposed to be less than y not more than

What is the value of x?

Answers

Answer:

14

Step-by-step explanation:

x+8=? x= 6. i do know it

Emilia clear a rectangular region in her yard for a garden if the length i a one digit whole number and the width i5. 5 meter what i the leat poible area explain how you found your anwer

Answers

If the length of the garden is one digit whole number and the width is 5 meter, then the lease possible area is 5 meters

The shape of the region is rectangular

The length of the garden is one digit whole number

One digit whole numbers are {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

The width of the rectangular region = 5 meters

We know the area of the rectangle = Length × Width

Here we have to find the least possible area

So the width is given but the length of the garden is unknown but it is a one digit whole number

To get least possible area, the length should be least number, because the area is the product of length and width

The length of the garden = 1

The least possible area = 1 × 5

= 5 meter square

Therefore, the least possible area is 5 meter square

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how far is the end of his shadow from the bottom of the lamppost after 8 seconds. use similar triangles to solve the problem​

Answers

The Distance from bottom of lamppost is 57.142 ft.

What are similar triangles?

Triangles with the same shape but different sizes are called similar triangles. Examples of similar objects include squares with any side length and all equilateral triangles. To put it another way, if two triangles are similar, their angles are the same and their sides are the same size. The "~" symbol indicates the triangular resemblance here.

Given the height of lamp post is 20 ft

height of man is 6 ft

man walking away with speed of 5 ft per sec

distance covered 8 sec is 8 x 5 = 40 ft

let us consider a triangle ΔABC and consider the triangle with man ΔDEC

which is inside ΔABC as shown in figure,

AB = 20 ft, DE = 5 ft and AD = 40 ft

consider   ΔABC and ΔDEC

∠BAC = ∠EDC = 90⁰

∠BCA = ∠ECD = common angle

so    ΔABC ~ ΔDEC by (AA property)

according to similar triangles

AB/DE = AC/DC

let DC be x and AC is 40 + x

substitute the values

20/6 = (40 + x)/x

20x = (40 + x)6

20x = 240 + 6x

14x = 240

x = 17.142ft

AC = AD + DC = 40 + 17.142 = 57.142 ft

Hence the Distance from bottom of lamp post to the end of shadow is 57.142 ft.

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Find the discriminant for the following guodutie function. Describe the number and Apes of roots it will have. Then find the roots. Write your answer in simplest radical form. Sketch a graph of the parabola using 5 points, including the vertex. f(x)= 1/2x^2-2x+10

Answers

Answer:

discriminant: -16, two complex conjugate rootsroots: 2±4igraph: see attached

Step-by-step explanation:

You want the discriminant, roots, and graph of the quadratic function ...

 f(x) = 1/2x² -2x +10

Discriminant

The discriminant of the quadratic function

  y = ax² +bx +c

is ...

  d = b² -4ac

The given function has a=1/2, b=-2, c=10, so the discriminant is ...

  d = (-2)² -4(1/2)(10) = 4 -20 = -16

The discriminant of -16 means there will be two distinct complex conjugate roots.

Roots

The roots are ...

  x = (-b ±√d)/(2a)

  x = (-(-2) ±√(-16))/(2(1/2)) = 2 ±4i

Graph

A graph of the function is attached.

use order of operations to solve 2 1/2 + 3 1/5 x 5 5/8

Answers

Answer: decimal form 20.5

Step-by-step explanation:

Does the given information represent a function?

Answers

no. there is no pattern/connection between the number in the chart

The cell phone plan from Company C costs $10 per month, plus $15 per gigabyte for data used. The plan from Company D costs $80 per month, with unlimited data.

Rule C gives the monthly cost, in dollars, of using g gigabytes of data on Company C's plan. Rule D gives the monthly cost, in dollars, of using g gigabytes of data on Company D's plan.

Which is less, C(4) or D(4)? What does this mean for the two phone plans?

Answers

The solution: is C(g) = 10 + 15g, C'(g) = 80.

Monthly pricing for utilizing 2 Gigabytes of data at Company C.

Detailed explanation:

Company C's cell phone plan is $10 per month + $15 for every gigabyte of data utilized. Company D's monthly fee is $80 and includes unlimited data.

The monthly cost for using g gigabytes of data at Company C is now: C(g) = 10 + 15g.... (1)

Again, the monthly cost for using g gigabytes of data at Company D will be as follows: C'(g) = 80......... (2) (2)

Statement C(2) = 10 + 15 2 = 40 represents Company C's monthly charges for utilizing 2 Gigabytes of data use, according to equation (1).

Thanks for your question. I had an interesting time solving this.

The equation for line f can be written as 9x+10y=10. Line g is perpendicular to line f and passes through (– 9,– 7). What is the equation of line g?

Answers

Finding line J's slope is the first step.The simplest approach to achieve this is to change the equation's format to y=mx+b, where m represents the slope.

What is the equation of line g?

9x-y=10

Take 9x off of both sides.

9x-y-9x=10-9x

Simpllify -y=-9x+10

Divide both sides by (-9x+10)-1, or -1 -y/-1.

Simplify y=9x-10

m=-1/9.

The notation (x1,y1) y-y1=m(x-x1) y-1=-1/9(x- -8) which reduces to y-1=-1/9(x+8)

y-1=-1/9x-8/9

then multiply both sides by 1.

y-1+1=-1/9x-8/9+9/9

(Using 9/9 as 1 makes it easier to use the common denominator to simplify the fractions.)

As the penultimate step, simplify.

y-1/9x+1/9

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What is the slope of the line shown?

Answers

Answer:

Below

Step-by-step explanation:

Find two convenient integer coordinates ( 0,7)  and (5,-3)

slope = (y1-y2) / (x1-x2)  

    it does not matter which point your assign as '1' or '2'

slope = (  7 - - 3 ) / (0-5) =  10 /-5  = -2

One month Ivan rented 9 movies and 7 $74. video games for a total of 3 movies and 5 video games for a total of $40. . Find the rental cost for each movie and each video game.

Answers

The rental cost for each movie is  $3.75

The rental cost for each video game is  $5.75

How to determine the rental cost

The problem is a simultaneous equation of two unknowns with two equations.

The equations are formed as follows

let the cost of renting movies be m and let the cost of video game rental be v

One month Ivan rented 9 movies and 7 video game $74

9m + 7v = $74

3 movies and 5 video games for a total of $40

3m + 5v = $40

The simultaneous equation

9m + 7v = $74

3m + 5v = $40

solving the equation gives

m = $3.75

v = $5.75

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the measure of the base angels in an isoceles triangle is 8 less than 3 times the measuee of a vertex angle.find the

Answers

The measure of base angles and vertex angle are 133° and 47° respectively.

What is an isosceles triangle ?

A triangle with two equal-length sides is known as an isosceles triangle (/assliz/). The term "equilateral triangle" can refer to a shape with either exactly two sides that are the same length or at least two sides that are the same length, with the latter definition containing the equilateral triangle as an exception.

Let the vertex angle to be 'x'

So, according to the question, the measure of the base angels in an isosceles triangle is 8 less than 3 times the measure of a vertex angle

    So, Base angles = (3 × vertex angle) - 8

We know that sum of all angles of a triangle is 180° and the base angles of an isosceles triangle are equal.

∴ Base angles + vertex angle = 180°

  (3 × vertex angle) - 8  + x = 180°

  3x - 8 + x = 180°

  4x = 188°

  x = 47°

∴ The vertex angle is 47° and,

Base angles =  (3 × vertex angle) - 8  

                     = 3 × 47 - 8

                     = 141 - 8

                     = 133°

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an experiment can be assumed to have internal validity if multiple choice all variables other than the independent variable are kept constant. the dependent variable is valid. confounding variables are present. there is a strong manipulation of the independent variable.

Answers

An experiment can be assumed to have internal validity if random assignment and experimental control is employed. So the option c is correct.

The degree to which a study reliably establishes a cause-and-effect link is a sign of its internal validity. The procedures used in the study and the level of care done have a significant impact on this type of validity.

Internal validity is essential because, if proven, it enables alternate explanations for a discovery to be disregarded.

An experiment can be assumed to have internal validity if  random assignment and experimental control is employed. So the option c is correct.

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The right question is:

An experiment can be assumed to have internal validity if:

A. the dependent variable is valid.

B. there is a strong manipulation of the independent variable.

C. random assignment and experimental control is employed.

D. confounding variables are present.

I need help with this please :D

Answers

Step-by-step explanation:

The answer is in the image above

Answer:        

Step-by-step explanation:

Apply  distributive property.

5i(3+2i)

5i⋅3+5i(2i)

Multiply

3 by 5.15i+5i(2i)

Multiply

5i(2i) .

15i + 10i2

Simplify each term.

Rewrite

i2 as −1.15i+10⋅−1

Multiply

10 by −1.15i−10

Reorder

15i and −10.−10+15i

hope it helps :)

.Find the y-intercept of the line 9y + 4x = 7.

Answers

Answer:

The y-intercept of the given line is 7/9.

Step-by-step explanation:

The y-intercept of a line is the point where the line crosses the y-axis.

So, to find the point where the line crosses the y-axis we must do x=0.

By substituting x=0 in the following equation, we get

=> 9y + 4(0) = 7

=> 9y = 7

=> y = 7/9

Hence, y = 7/9 is the y-intercept of the given line.

what are the intercepts of the line - 4x + 7y=3​

Answers

Answer:

The intercepts are: (0, 3/7) and (-3/4, 0)

Step-by-step explanation:

If X=0

-4(0) + 7y = 3

7y = 3

Y = 3/7

If Y=0

-4x + 7(0) = 3

-4x = 3

X = -3/4

the x-intercept is: 3/-4 and the y-intercept is 3/7

Last year, Mr.Henderson paid a total of $98.40 for phone service and $79.20 for garbage pickup. What was his average cost per month for phone service and garbage pickup?(Please explain it in a 5th grade level)

A.) $8.20

B.)$6.60

C.)$1.48

D.)$14.80

(Please pick one)

Answers

Mr. Henderson paid a total of $98.40 for phone service and $79.20 for garbage pickup last year. To find his average cost per month for these two services, we need to divide the total amount he paid by the number of months in a year.

Since there are 12 months in a year, we can divide the total amount Mr. Henderson paid for phone service and garbage pickup by 12 to find his average cost per month. This is calculated as follows:

Average cost per month = (98.40 + 79.20) / 12

Average cost per month = 177.60 / 12

Average cost per month = $14.80

Therefore, Mr. Henderson's average cost per month for phone service and garbage pickup last year was $14.80. This means that, on average, he paid about $14.80 per month for these two services.

your starting salary at a new company is 35000 and its increases by 2.5 each year

Answers

Answer:

35,875

Step-by-step explanation:

35000x(1+2.5%)

35000x1.025%

35,875

(sorry if it's wrong I'm assuming it is the answer because i saw a similar equation and i used the same format..)

What is the value of b?

Answers

The value of b is 20.

What is Pythagorean theorem?

The Pythagoras theorem is a mathematical law that states that the sum of squares of the lengths of the two short sides of the right triangle is equal to the square of the length of the hypotenuse.

According to the given question:

∠S and ∠Q are right angles in RSTQ quadrilateral.

RTS and RTQ are right angled triangles.

Applying Pythagorean theorem on both the triangles

sin 35° = b + 60 / RT ⇒ RT = b + 60 / sin 35°

sin 35° = 4b / RT ⇒ RT = 4b / sin 35°

Since RT is common in both equations

b + 60 / sin 35° = 4b / sin 35°

b + 60 = 4b

3b = 60

b = 20

Hence the value of b is 20

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How many turning points are in the graph of the polynomial function?

2 turning points
3 turning points
4 turning points


Answers

Graph with their Turning Point is shown with different degree of different degree Equation

What is Turning Point?

Where a graph changes, either from increasing to decreasing, or from decreasing to increasing, is called a turning point.

How to find Turning Point?

Factorization Technique

The turning point of the parabola lies exactly at the midway between the (two) x-intercepts of a quadratic function, as shown by the fact that a vertical line of symmetry divides the parabola into two equal half and crosses it. In light of this, we can use a factorisation-based method to locate the solution of a quadratic equation. The process involves five steps.

Step 1: By looking at the coefficient of x2, determine if the graph is a minimum or maximum;

Factorize the supplied quadratic function in Step 2 and set it to Zero;

Step 3: Define the function's antecedents;

Take the midpoint of the pair of roots to find the x-coordinate of the turning point in step 4;

2 turning points

Let f(x)=x³+ax²+bx+c, where the coefficients a, b and c are real numbers. The figure below shows a section of the graph of y=f(x). The curve has two distinct turning points; these are located at A and B, as shown.

But there is come limitations in this case too, a function has to follow certain conditions to have two turning points.

3 turning points

If we get 4 roots of any equation it may be containing 3 turning Points.

With some limitations in this as well.

4 turning points

If we get 5 roots of any quadratic equation it may be containing 4 turning points with some limitations in this as well.

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The idea that if one nation fell to communism, other nations in the region would also succumb was called the ______. One way to measure temperature in some applications is to monitorthe gas pressure in a rigid, closed container. What is the finaltemperature (in C) of such a vessel, calibrated to initially read 1.00atm at 0.00 C, if the pressure changes to 1.25 atm? Whats the answer please thank u 22. What is the central iden of "A Brief History of DDT"?ects. but its harmful effects led to limited use.B. Rachel Carson was attacked by the chemical Kennedy defended her.C. Pesticides such as DDT cause liver tumors in mice and cancer in humans.D. If it hadn't been for Rachel Carson, farmers would still be spraying their crops with DDT: Find the sum of 6 and 18.12 (6 +18) = X? when Sammy arrived at camp haven he couldn't stop thinking about in The Fifth Wave the direct-to-consumer shopping website abc wants to add a coupon box to the checkout page (see the example of a coupon box below), but the marketing team worries that adding a coupon box will cause users who don't have coupons to abandon their shopping basket. the team designs an experiment with the treatment being whether the user sees the coupon box on the checkout page. the experiment randomizes at the user level. the experiment will run for a week, and the experiment sample is a random set of customers who have browsed the website during the week. no actual coupon is issued, and the team will track the dollar amount spent per user during the week of the experiment. how was the US involved in South and Central America which accounting standard board set the rules that state governments follow when preparing their financial statements? group of answer choices Suppose that balloon owners get to pay lower costs for insurance next year. How would this affect the demand curve for balloon rides? How would this affect the supply curve for balloon rides? Jorge downloads a movie onto his laptop without permission from the movie provider. Jorge has violated:a. trademark law.b. copyright law.c. trade distribution law.d. cybersquatting law. Consider the following solid s. The base of S is a circular disk with radius r. Parallel cross-sections perpendicular to the base are squares. Set up an integral that can be used to determine the volume V of the solid. V = dx LIO 26TO = 2 dx Find the volume V of the solid. V= Part AWhat inference can be drawn about Bilbo's character in Chapter 2 of The Hobbit?He is conflicted over his involvement in the expedition.O He is happy to be asked to join the dwarves in their quest for gold.He resents Gandalf for involving him in the expedition.He fears the dwarves and wants to be rid of them. What is an Entrepreneur? A risk-taking gambler Someone who pursues an opportunity regardless of any resource limitations An assertive salesman and business person Anyone with a really good idea During the industrial age, what were the hardships immigrants faced that caused themChoose four answers.o leave their home countries?O famineP rising taxesU job shortagescrop failureU contaminated water adapted from Anne of Green Gablesby L. M. MontgomeryMatthew wondered why Marilla always kept Anne so plainly and soberly gowned. Surely it would do no harm to let the child have one pretty dress. So, Matthew betook himself to Carmody to buy one, resolved to go to Samuel Lawson's store, for in such a matter as this, requiring explanation and consultation, Matthew felt that he must be sure of a man behind the counter.Alas! Matthew did not know that Samuel had set up a lady clerk; she was a very dashing young person indeed, with a huge, drooping pompadour, and a mostbewildering smile."What can I do for you, Mr. Cuthbert?" Miss Lucilla Harris inquired. "Have you any-any--any-well now, say any garden rakes?" stammered Matthew.Miss Harris looked somewhat surprised, to hear a man inquiring for garden rakes in December."I believe we have one or two left over," she said, "but they're upstairs." When Miss Harris returned with the rake and cheerfully inquired: "Anything else tonight, Mr. Cuthbert?" Matthew took his courage in both hands and replied: "Well now, since you suggest it, I might as well-take-that is-look at-buy some some hayseed.""We only keep hayseed in the spring," she explained loftily."Oh, certainly certainly-," stammered unhappy Matthew, seizing the rake and making for the door when he recollected he had not paid for it and turned miserably back. While Miss Harris was counting his change, he rallied his powers for a final desperate attempt."Well now if it isn't too much trouble-I might as well-that is-I'd like to look at-at-some sugar.""There's a barrel of it over there," said Miss Harris, shaking her bangles at it. "It's the only kind we have." "T-I'll take twenty pounds," said Matthew, beads of perspiration standing on his forehead. Matthew had driven halfway home before he was his own man again, and decided a woman was required to cope with the situation, so to Mrs. Lynde he wentaccordingly, and that good lady promptly took the matter out of the abashed man's hands.How is Matthew's discomfort around women developed in this passage? A. Every time he tries to ask about the dress, he asks for things he does not need. B. He stammers every time the clerk asks him a question. C. Every time he tries to ask about the dress, he asks for gardening things instead. D. He is gripping the rake and begins perspiring on his forehead. There are 50 workers onsite at a large construction project. Six of them are left-handed, and the rest are not. Suppose that the project manager randomly selects 222 workers (without replacement).What is the probability that NEITHER of the workers selected are left-handed? The heat of combustion for sugar is 5639 kJ/mole, but that for TNT is 3406 kJ/mole. Why, if the heat of combustion for TNT is smaller than for sugar, is TNT an explosive? For which of the following conditions would you MOST likely encounter a ventricular peritoneum shunt? The two chemicals that were in the 2nd unknown solution where...Potassium ChlorideBarium ChlorideCalcium ChlorideLithium ChlorideSodium ChlorideCopper ChlorideStrontium Chloride