A contestant on a quiz show gets 150 points for every correct answer and loses 250 points for each incorrect answer. After answering 20 questions, the contestant has 200 points. How many question has the contestant answered correctly? ard

Answers

Answer 1

Given data:

The points obtained after getting correct answer is c=150.

The points losses after getting incorrect answer is i=250.

The expression for total questions is,

\(\begin{gathered} c+i=20 \\ i=20-c \end{gathered}\)

The expression for total marks is,

\(150c-250i=200\)

Substitute (20-c) for i in the above expression.

\(\begin{gathered} 150c-250(20-c)=200 \\ 150c-5000+250c=200 \\ 400c=5200 \\ c=13 \end{gathered}\)

The numbers of incorrect questions are,

\(\begin{gathered} i=20-13 \\ =7 \end{gathered}\)

Thus, the numbers of correct questions are 13, and numbers of incorrect questions are 7.


Related Questions

Please help Giving 15 points

Please help Giving 15 points

Answers

Answer:

you said you're giving 15 points but its 8

From the top of the 140-foot high tower, an air traffic controller observes an airplane on the runway at an angle of depression of 18°.
18°
140 ft
How far is it from the base of the tower to the airplane? Round your answer to the nearest tenth of a foot.

Answers

Answer:

Step-by-step explanation:

The angle of depression is the downward angle the air traffic controller

looks down from in the tower.  It also equals the angle of elevation which is the angle formed by the runway and the line of sight.

With this information you can find the remaining angle:

180 - (90 + 18)

180 - 108 = 72

Let Angle B = 72°

Angle A = 18°

Angle C =90°

We have one side - 140 feet - this is side a - it is across from angle A.

There is a right triangle formed by the runway (side b) the tower, side a, and the line of sight (side c)

Using the law of sines:

sin A/a = sinB/b

sin 18°/a = sin72°/b

.3090/140 = .9510/x

cross multiply and then divide

140 × .9510/.3090

133.14/.3090

430.873 ft

round to a tenth = 430.9 ft

When electricity (the flow of electrons) is passed through a solution, it causes an oxidation-reduction (redox) reaction to occur. If the solution contains a metal cation such as Ag+, the flow of electrons will reduce the silver ion, causing solid silver to plate onto the electrode. The amount of metal plated depends on the number of electrons passed. The total charge of a mole of electrons is 96, 485 coulombs (C) and 1 ampere = 1 coulomb/second (C/s).
What mass of Cu(s) is electroplated by running 28.5 A of current through a Cu2+ (aq) solution for 4.00 h? Express your answer to three significant figures and include the appropriate units.
How many minutes will it take to electroplate 37.1 g of gold by running 5.00 A of current through a solution of Au+(aq)? Express your answer to three significant figures and include the appropriate units.

Answers

Answer:

a. 135 g

b. 60.6 min

Step-by-step explanation:

a. What mass of Cu(s) is electroplated by running 28.5 A of current through a Cu2+ (aq) solution for 4.00 h? Express your answer to three significant figures and include the appropriate units.

The chemical equation for the reaction is given below

Cu²⁺(aq) + 2e⁻ → Cu(s)

We find the number of moles of Cu that are deposited from

nF = It where n = number of moles of electrons, F = Faraday's constant = 96485 C/mol, I = current = 28.5 A and t = time = 4.00 h = 4.00 × 60 min/h × 60 s/min = ‭14,400‬ s

So, n = It/F = 28.5 A × ‭14,400‬ s/96485 C/mol = ‭410,400‬ C/96485 C/mol = 4.254 mol

Since 2 moles of electrons deposits 1 mol of Cu, then 4.254 mol of electrons deposits 4.254 mol × 1 mol of Cu/2 mol = 2.127 mol of Cu

Now, number of moles of Cu = n' = m/M where m = mass of copper and M = molar mass of Cu = 63.546 g/mol

So, m = n'M

= 2.127 mol × 63.546 g/mol

= 135.15 g

≅ 135 g to 3 significant figures

b. How many minutes will it take to electroplate 37.1 g of gold by running 5.00 A of current through a solution of Au+(aq)?

The chemical equation for the reaction is given below

Au⁺(aq) + e⁻ → Au(s)

We need to find the number of moles of Au in 37.1 g

So, number of moles of Au = n = m/M where m = mass of gold = 37.1 g and M = molar mass of Au = 196.97 g/mol

So, n = m/M = 37.1 g/196.97 g/mol = 0.188 mol

Since 1 mol of Au is deposited  by 1 moles of electrons, then 0.188 mol of Au deposits 0.188 mol of Au × 1 mol of electrons/1 mol of Au = 0.188 mol of electrons

We find the time it takes to deposit 0.188 mol of electrons that are deposited from

nF = It where n = number of moles of electrons, F = Faraday's constant = 96485 C/mol, I = current = 5.00 A and t = time

So, t = nF/It

= 0.188 mol × 96485 C/mol ÷ 5.00 A

= ‭18173.30‬ C/5.00 A

= 3634.66 s

= 3634.66 s × 1min/60 s

= 60.58 min

≅ 60.6 min to 3 significant figures

If x + 4 = 12, what is the value of x?

Answers

Answer:

x = 8

Step-by-step explanation:

x + 4 = 12

x=12-4

x=8

Answer:

8

Step-by-step explanation:

x+4=12, so 12-4=x (if you use an the inverse operation of addition, subtraction.)

12-4=x, so all you have to do is subtract and, there you have it, 8. It makes sense, 8+4=12. :)

What is 3.79 x 8 because hhteuensgs

Answers

Answer:

\(3.79*8=30.32\)

Step-by-step explanation:

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer....

3.79 × 8 = 30.32

Hope it helps!

Brainliest plz....

Follow me! ;)

Which angle is an alternate exterior angle to ∠8?
∠3
∠4
∠5
∠6
*20 POINTS!!!!!!!!!!!*

Which angle is an alternate exterior angle to 8?3456 *20 POINTS!!!!!!!!!!!*

Answers

There is no alternate exterior angle corresponding to ∠8.

What are alternate exterior angles?

Alternate Exterior Angles – Alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal.

here, we have,

Given is a geometrical figure as shown in the image.

A pair of alternate exterior angles exist for a pair of parallel lines.

Hence, there is no alternate exterior angle corresponding to ∠8.

Therefore, there is no alternate exterior angle corresponding to ∠8.

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lim (x->0) ((x^3 - 2x) ln(1+sinx))/ ln(cos 3x)

Answers

Answer:

qijejejsllaoajvrjaoaq

A population has a mean of 200 and a standard deviation of 50. Supposed a sample of size 100 is selected and x is used to estimate μ.

What is the probability that the sample mean will be within ±5 of the population mean?

Answers

   The probability that the sample mean will be within ±5 of the population mean is 0.6826

What is the probability of the sample mean?

If the population is normally distributed, the sample means will be normally distributed even with smaller samples. [This is known as the Central Limit Theorem, which states that when a large number of random samples are drawn from a population, the means of these samples will be normally distributed.]

Z=X-μ/σ

Given here, σ = 50 , μ =200 , σₓ = 5 , n = 100 ,                                                                      

                     z = 205-200/5    z = 195-200/5

we get z= ±1

From the z table, we get P( z= -1)  = 0.1587

From the z table we get P( z= 1)  = 0.8413

Thus the final answer is = 0.8413- 0.1587

                                        =  0.6826

Hence,  the probability that the sample mean will be within ±5 of the population mean is  0.6826

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The random variable X has the following probability density function: fX(x) = ( xe−x , if x > 0 0, otherwise. (a) Find the moment generating function of X. (b) Using the moment generating function of X, find E[Xn] for all positive integers n. Your final answer should be an expression that depends only on n.

Answers

Answer:

Follows are the solution to the given points:

Step-by-step explanation:

Given value:

\(\to f_X (x) \ \ xe^{-x} \ , \ x>0\)

For point a:

Moment generating function of X=?

Using formula:

\(\to M(t) =E(e^{tx})= \int^{\infty}_{-\infty} \ e^{tx} f(x) \ dx\)

\(M(t) = \int^{\infty}_{-\infty} \ e^{tx}xe^{-x} \ dx = \int^{\infty}_{0} \ xe^{(t-1)x} \ dx\)

integrating the values by parts:

\(u = x \\\\dv = e^{(t-1)x}\\\\dx =dx \\\\v= \frac{e^{(t-1)x}}{t-1}\\\\M(t) =[\frac{e^{(t-1)x}}{t-1}]^{-\infty}_{0} -\int^{\infty}_{0} \frac{e^{(t-1)x}}{t-1} \ dx\\\\\)  

        \(= \frac{1}{t-1} (0) - [\frac{e^{(t-1)x}}{(t-1)^2}]^{\infty}_{0}\\\\=\frac{1}{(t-1)^2}(0-1)\\\\=\frac{1}{(t-1)^2}\\\\\)

Therefore, the moment value generating by the function is \(=\frac{1}{(t-1)^2}\)

In point b:

\(E(X^n)=?\)

Using formula: \(E(X^n)= M^{n}_{X}(0)\)

form point (a):

\(\to M_{X}(t)=\frac{1}{(t-1)^2}\)

Differentiating the value with respect of t

\(M'_{X}(t)=\frac{-2}{(t-1)^3}\)

when \(t=0\)

\(M'_{X}(0)=\frac{-2}{(0-1)^3}= \frac{-2}{(-1)^3}= \frac{-2}{-1}=2\\\\M''_{X}(t)=\frac{(-2)(-3)}{(t-1)^4}\\\\M''_{X}(0)=\frac{(-2)(-3)}{(0-1)^4}= \frac{6}{(-1)^4}= \frac{6}{1}=6\\\\M''_{X}(t)=\frac{(-2)(-3)}{(t-1)^4}\\\\M''_{X}(0)=\frac{(-2)(-3)}{(0-1)^4}= \frac{6}{(-1)^4}= \frac{6}{1}=6\\\\M'''_{X}(t)=\frac{(-2)(-3)(-4)}{(t-1)^5}\\\\M''_{X}(0)=\frac{(-2)(-3)(-4)}{(0-1)^5}= \frac{24}{(-1)^5}= \frac{24}{-1}=-24\\\\\therefore \\\\M^{K}_{X} (t)=\frac{(-2)(-3)(-4).....(k+1)}{(t-1)^{k+2}}\\\\\)

\(M^{K}_{X} (0)=\frac{(-2)(-3)(-4).....(k+1)}{(-1)^{k+2}}\\\\\therefore\\\\E(X^n) = \frac{(-2)(-3)(-4).....(n+1)}{(-1)^{n+2}}\\\\\)


please help i have no idea

please help i have no idea

Answers

The radius would be 2.07

Answer:  radius = 2.07

Step-by-step explanation:

radius is circumference divided by 2pi

so for future reference

to find radius just divide the circumference by 6.28

if the circumference was 15 to find the radius you simply

divide 15 by 6.28 and you get 2.39

What is the best description of originality?

nonobvious

special or interesting

convergent

having a low probability, unique

Answers

Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.

An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.

Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.

Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.

Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.

In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

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The net of a triangular prism is shown. Use the ruler provided to measure the dimension of the net to the nearest half centimeter.

Which measurement is closest to the total surface area of the triangular prism in square centimeters?

A.20cm2
B.14cm2
C.8cm2
D.6cm2

Answers

Answer:

408cm

Step-by-step explanation:

U got this

The total surface area of the triangular prism is 14 cm². Then the correct option is B.

What is a triangular prism?

A triangular prism is a closed solid that has two parallel triangular bases connected by a rectangular surface.

The total surface area of the triangular prism will be

\(\rm Total\ area = 3(area \ of\ rectangle) + 2(area\ of \ triangle)\)

The area of the triangle will be

\(\rm area\ of \ triangle = \dfrac{1}{2} * 2 * 4\\\\area\ of \ triangle = 4\)

The area of the rectangle will be

\(\rm area\ of \ rectangle = 2 *1\\\\area\ of \ rectangle = 2\)

Then the total area will be

\(\rm Total\ area = 2*4 + 3*2\\\\Total\ area = 8 + 6 \\\\Total\ area = 14\)

The total surface area of the triangular prism is 14 cm². Then the correct option is B.

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The net of a triangular prism is shown. Use the ruler provided to measure the dimension of the net to

Please help with geometry,will give brainliest

Please help with geometry,will give brainliest

Answers

Answer:

90

Step-by-step explanation:

i think

3 mi 1,622 yd − 3 mi 1,038 yd =
mi
yd

Answers

Answer: 584 yds

Step-by-step explanation:

3mi-3mi=0

1622-1038=584yds

makayla is taking a math course and is working with the perimeter of rectangles. she knows the perimeter and length of her rectangle but wants to solve for the width. rearrange the following equation for w, where p is the perimeter, l is the length, and w is the width of the rectangle.

Answers

The equation for w(width of rectangle) is: W = (P - 2L)/2

The correct answer is an option (c)

We know that the formula for the perimeter of the rectangle is:

P = 2L + 2W

where P is the perimeter of the rectangle,

L is the length of the rectangle,

and W is the width of the rectangle.

We need to rearrange this equation for w.

Consider equation,

P = 2L + 2W

P - 2L = 2L + 2W - 2L      ......(subtract 2L from each side of equation)

P - 2L = 2W

(P - 2L)/2 = 2W/2             .....(divide each side by 2)

W = (P - 2L)/2

Therefore, the correct answer is  W equals the quantity P minus 2 times L all over 2

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The complete question is:

Makayla is taking a math course and is working with the perimeter of rectangles. She knows the perimeter and length of her rectangle but wants to solve for the width. Rearrange the following equation for W, where P is the perimeter, L is the length, and W is the width of the rectangle. P = 2L + 2W.

a) W = 2P − 2L

b) W = P/ 2-2 times L

c) W equals the quantity P minus 2 times L all over 2

d) W = 2P + 2L

Answer:

c) W equals the quantity P minus 2 times L all over 2

Step-by-step explanation:i just took the test

Simplify each algebraic expression by combing like terms 7x^2-5x+10x-8x^2

Answers

Answer: -x^2 + 15x

Step-by-step explanation:

Simplify each algebraic expression by combing like terms 7x^2-5x+10x-8x^2
You just add the 7x^2 with the -8x^2 which gives you -x^2. Then you add the 10x with the -5x and get 5x.

When the source data is final and will not be edited, you can use a static consolidation.
(TRUE OR FALSE)

When the source data is final and will not be edited, you can use a static consolidation.(TRUE OR FALSE)

Answers

Answer:

TRUE

Step-by-step explanation:

There are two types of data consolidation; Static consolidation and Dynamic Consolidation.

Static consolidation: data from multiple worksheets are consolidated, but if changes are made to the original data, the consolidated data do not recalculate or update. The static consolidation is best used when preparing report and the source data is final and will not be edited.

Dynamic: changes made to the original data will be updated in the consolidated data.

Can someone explain me this please

Consider a space shuttle which has a mass of about 1.0 x 105 kg and circles the Earth at an altitude of about 200.0 km. Calculate the force of gravity that the space shuttle experiences

uhm i don't understand wut to put below the formula please make it clear thank you alot

Answers

Answer:

The force of gravity experienced by the shuttle would be 1.6675×10^N

The ratio of Mary's saving to Janet's savings in January was 7:4. When Mary's saving was decreased by 40% in February and Janet's savings increased by half as much, their total savings in February became $2040. How much was Janet's savings in January?​

Answers

Janet's savings in January is $800

What is word problem?

A word problem in math is a math question written as one sentence or more. This statements are interpreted into mathematical equation or expression.

Represent Mary's savings by x and Janet's savings by y

7/4 = x/y

40/100 × x = 40x/100 = 2x/5

New savings for Mary =

x -2x/5 = 5x - 2x)/5 = 3x/5

50/100 × y = y/2

New savings for Janet =

y + y/2 = 3y/2

3y/2 + 3x/5 = 2040

15y + 6x = 20400

7y = 4x

y = 4/7x

Substitute (4/7)x for y

15( 4/7) x + 6x = 20400

(60/7 )x + 6x = 20400

60x + 42x = 142800

102x = 142800

x = 142800/102

x = $ 1400

y = 4/7 × 1400

y = $800

Therefore, the savings for Janet in January is $800.

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DriverIntoxicated?Pedestrian Intoxicated?YesNoYes5885No250597If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was intoxicated. (Round your answer to 4 decimal places.)Probability =

DriverIntoxicated?Pedestrian Intoxicated?YesNoYes5885No250597If one of the pedestrian deaths is randomly

Answers

Given:

The number of pedestrian intoxicated and driver is not intoxicated is 250.

The number of pedestrian intoxicated and driver is intoxicated is 58.

Total number of people is 58+85+250+597=990

The probability that the pedestrian was intoxicated is,

\(P=\frac{58+250}{990}=\frac{308}{990}=0.3111\)

Answer: probability is 0.3111

If you have a lot of money, you don’t need insurance. true or fasle

Answers

Answer:

it would be false

Step-by-step explanation:

the reason it is false is even though you have lots of money you still arent safe just by having money you need to be protected both on car and your self and other things

Mr. Gosain?(1 Aana = 31.8 m²) b) A real estate agent bought two triangular Kittas' having a common side as shown in the figure from two people for Rs 20,00,000 altogether. If he immediately sold the land in the shape of a quadrilateral at Rs 15,00,000 per Kattha, find his profit or loss.(1 Kattha= 338.63 sq. m) danta Excel in Mathematics - Book 9 86 36 m Approved by Curriculum Development Cen 20 m 29 m 25 m 21 m aktapur​

Answers

The information given regarding the computation of the profit or loss shows that there's a loss of RS 500,000.

How to calculate the profit?

From the information given, it was stated that the real estate agent bought two triangular Kittas' having a common side as shown in the figure from two people for Rs 2000,000 altogether.

It was further depicted that he sold the land in the shape of a quadrilateral at Rs 1,500,000. In their case, the sale is less than the cost and therefore, there's a loss.

The loss will be:

= 2,000,000 - 1,500,000

= 500,000

Therefore, the information given regarding the computation of the profit or loss shows that there's a loss of RS 500,000.

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what is the inequality of this and step by step explanation please

what is the inequality of this and step by step explanation please

Answers

The inequality graphed on the number line can be written as:

-3 ≤ x < 2

How to identify the inequality?

Here we can see an inequality graphed on a number line, we can see that we start with a closed circle at x = -3

A closed circle means that x = -3 is a solution.

And we can see that it ends with an open circle at x = 2, the open circle means that the point is not a solution.

Then the inequality thati is shown in the number line is written as:

-3 ≤ x < 2

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Drew ran 5 3/ 8 miles yesterday. Collin ran 8 5/12 miles yesterday. How much farther did Collin run? Choose the correct values to leave your answer as a mixed number. Numbers may be used once or not at all.​

Answers

Answer:

3 1/24

Step-by-step explanation:

Drew: 5 3/8

Collin: 8 5/12

8 5/12-5 3/8=

Joey had eight pencils in the morning. He gave some pencils away to friends who needed them. To determine the number of pencils he has left, ___ the number of pencils he gave away. count difference subtract add​

Answers

Answer : Subtract



Hope it help you

Please mark me brianliest

find the range of the balances for the 5 day period

Answers

What but yasss period!!!

Plz help I don’t know what to do it and I need a explanation for it

Plz help I dont know what to do it and I need a explanation for it

Answers

Answer:

A function is defined as an equation in which no x value has two y values.  You can find the answer to this via the vertical line test.  If you move a pencil across a graph and it does not touch the graph at two points, then it is a function.  Utilizing this logic, the correct answer is yes, this is a function.

Step-by-step explanation:

Abe digs a hole at a steady rate of (meaning negative) 1.2 feet every hour.

Consider ground level to be 0.

What value represents the elevation of the hole relative to ground level after digging for 2.5 hours?

Enter your answer in the box.

Answers

0-1.2(2.5) = -3
The elevation of the hole relative to ground level after digging for 2.5 hours is -3.

This graph shows a proportional relationship.

What is the constant of proportionality?

Enter your answer as a decimal in the box.

This graph shows a proportional relationship.What is the constant of proportionality?Enter your answer

Answers

Answer is 13.8

Step by step

Your constant of proportionality is the slope or rate of the graph.

The constant of proportionality k is given by k=y/x.

From your graph you have points given ( 2, 27.60) and ( 6, 82.80)

k = 27.60/2 = 13.8

k = 82.80/6 = 13.8

Rate is the same and the line goes through (0, 0) so it is proportional

help please with this question

help please with this question

Answers

Answer:

Step-by-step explanation:

7x - 2 = 3x + 38

4x - 2 = 38

4x = 40

x = 10

7(10) - 2 = 70 - 2= 68

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