In a class test of 15 questions, (+4) marks are given for every correct answer, (– 2) marks are
given for every incorrect answer and 0 marks are given for questions that are not attempted. Punit
scored (– 2) marks. If he answered 3 questions correctly, how many did he get wrong? How many
questions did he not attempt?

The correct equation must have a slope of 3/2. The required equation is y=3/2x

The standard equation of a line is y = mx + b

where;

m is the slope

b is the y-intercept

Given the following equation

y=−2/3x+1

The slope of the line is -2/3

For two lines to be perpendicular, the product of their slope must be zero.

mm1 = 01
-2/3m = -1
m = 3/2

This shows that the correct equation must have a slope of 3/2. The required equation is y=3/2x

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Answer:

[tex]\sqrt{10}[/tex]

Step-by-step explanation:

Define your points x1, y1 and x2, y2

(x1,y1) = (-4,-2)

(x2,y2) = (-5,1)

Use the distance formula, the distance between the center and that point is the radius of the circle.

[tex]\sqrt{(x2-x1)^{2} +(y2-y1)^{2}}\\\sqrt{(-5--4)^{2} +(1--2)^{2}}\\\\\sqrt{(-1)^{2} +(3)^{2}}\\\\\sqrt{1 +9}\\\\\sqrt{10}\\[/tex]

Answer: D.2

Step-by-step explanation:

First,

Add all the number together.

32+24+16+8

=80

Next,

80 divided by amount of customers.

80 / 40 = 2

Therefore the average is 2.

Answer: B. 431.59

Step-by-step explanation:

1.6*12 =19

90*2 = 180

circle area = pier^2

127.25 for upper and 88.35 for lower

triangle is just the square / 2

i rounded so my answer is not exact but b should be correct

Answer:

Mr. white started with 45 dollars, he spent 9 dollars on a wallet and was left with 36, he then spent 15 dollars on a tie and was left with 21 dollars.

Step-by-step explanation:

45 * 0.8 = 36
he started with 45 dollars
30 * 0.7 = 21, in the end he was left with 21 dollars

Answer:

m∠C = 110.9° (1 dp)

Step-by-step explanation:

The largest angle in a triangle is opposite the longest side.

Therefore, from inspection of the diagram, angle C is the largest angle since length AB is the longest side length.

To find angle C, use the cosine rule:

[tex]\sf c^2=a^2+b^2-2ab \cos C[/tex]

(where a, b and c are the sides, and C is the angle opposite side c)

Given:

Substituting the given values into the formula and solving for C:

[tex]\implies \sf c^2=a^2+b^2-2ab \cos C[/tex]

[tex]\implies \sf 15^2=11^2+7^2-2(11)(7) \cos C[/tex]

[tex]\implies \sf 225=170-154 \cos C[/tex]

[tex]\implies \sf \cos C=\dfrac{225-170}{-154}[/tex]

[tex]\implies \sf \cos C=-\dfrac{5}{14}[/tex]

[tex]\implies \sf C=\cos ^{-1}\left(-\dfrac{5}{14}\right)[/tex]

[tex]\implies \sf C=110.9248324...^{\circ}[/tex]

Therefore, m∠C = 110.9° (1 dp)

Answer:

see photo for detailed analysis

Answer: d. the correct decision has been made

Step-by-step explanation:

Answer:

0.416

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Hope this helps

A statement which proves that the diagonals of square PQRS are perpendicular bisectors of each other is: option D.

Mathematically, the slope of a line is given by the following formula;

[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

For line RP, we have:

[tex]Slope = \frac{9\;-\;2}{5\;-\;4}\\\\Slope = \frac{7}{1}[/tex]

Slope RP = 7.

For line SQ, we have:

[tex]Slope = \frac{6\;-\;5}{1\;-\;8}\\\\Slope = \frac{1}{-7}[/tex]

Slope SQ = negative one-sevenths.

For the midpoint, we have:

In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).

Midpoint on x-coordinate = (8 + 1)/2 = 9/2 = 4.5.

Midpoint on y-coordinate = (9 + 2)/2 = 11/2 = 5.5.

In conclusion, a statement which proves that the diagonals of square PQRS are perpendicular bisectors of each other is that the midpoint of both diagonals is (4.5, 5.5), the slope of RP is 7, and the slope of SQ is negative one-sevenths.

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Answer:

D. The midpoint of both diagonals is (4 1/2, 5 1/2) , the slope of RP is 7, and the slope of SQ is - 1/7.

Step-by-step explanation: I just did it on edge 2023. Hope this helps!

Answer:

x = 21 degrees or A

Step-by-step explanation:

7x - 3 + 2x - 6 = 180

9x - 9 = 180

9x = 189

x = 21

The total combination will be, 45195 if the selecting dance troupe with 6 girls and 7 boys out of 20 girls and 15 boys who auditioned.

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Selecting a dance troupe with 6 girls and 7 boys out of 20 girls and 15 boys who auditioned.

It is a combination problem:

Selecting 6 girls out of 20 = C (20, 6)

Selecting 7 boys out of 15 = C (15, 7)

Total combination = C (20, 6) + C (15, 7)

= 38760 + 6435

= 45195

Thus, the total combination will be, 45195 if the selecting dance troupe with 6 girls and 7 boys out of 20 girls and 15 boys who auditioned.

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Answer:

The gradient is 20

Step-by-step explanation:

Gradient = Change in Charge / change in hours worked.

Gradient = 200 - 80/ 6 - 0

= 120/ 6

= 20

b. The gradient of the line represents the amount the plumber charges per hour

Answer:

8

Step-by-step explanation:

divide 14 by 7 to get 2. IT is 2 tests a week so multipy 7 by 2 to get 14 then just add 2 to get 16. you added two meaning you added a week because each week is two tests so the answer will be 8 weeks.

Tim have to attend a total of 8 weeks this quarter before he will have taken a total of 16 quizzes.

The unitary method is a process for solving a problem by first finding the value of a unit, and then finding the necessary value by multiplying the single unit value.

According to the problem,

Tim took 14 quizzes over the course of 7 weeks.

∴ Tim can take 1 quiz over the course of [tex]\frac{7}{14}[/tex] weeks

Tim can take 16 quizzes over the course of [tex](\frac{7}{14})[/tex] x 16 weeks = 8 weeks

∴ Tim can take 16 quizzes over the course of 8 weeks.

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Answer:

The ratio is 1:4 or 1 computer for every 4 sixth graders.

Step-by-step explanation:

20 for 80 = 20:80

20:80 divided by 10:10 = 2:8

2:8 divided by 2:2 = 1:4

Answer:

10

Step-by-step explanation:

Its outside the graph

The volume of the solid generated by revolving the region bounded by the given curve and lines y = 2x, y = 2, x = 0 about the x-axis will be  

V = 8π/3

When the integration is done in the three dimensions in the three coordinates x,y and z then we will call it as a volume integration.

I set y=2x = y=2 to find where the intersect each others so I can have my boundaries for integration.

You goal is to find the area so you can integrate around that area. We're revolving around the x-axis so the area will be a circle.

V = ∫A(x)dx =  ∫(πr²)dr

Since we have two different radius, we subtract them from each others.

∫(πr₂² - πr₁²)dr

∫(π(2)² - π(2x)²)dr

∫(4π - 4πx²)dr

4π∫(1 - x²)dr

integrate from 0 to 1 since that's where our boundary is.

V = 4π∫(1 - x²)dr = 8π/3

Hence the volume of the solid generated by revolving the region bounded by the given curve and lines y = 2x, y = 2, x = 0 about the x-axis will be V = 8π/3

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Answer:

Step-by-step explanation:

Answer:

P(2 red in 5 offspring) = 26.4%

P(no more than 2 red flowers) = 65.9%

Step-by-step explanation:

P(red) = 25%

P(white) = 75%

P(2 red in 5 offspring) = 5C2 P(red)*P(red)*P(white)*P(white)*P(white)

= 10 * 0.25 * 0.25 * 0.75 * 0.75 * 0.75 = 26.4%

P(no more than 2 red flowers) = P(1 red in 5 offspring) + P(2 red in 5 offspring)

= 5C1 P(red)*P(white)^4 + 0.2637

= 5 * 0.25 * 0.75* 0.75 * 0.75 * 0.75 + 0.2637

= 0.6592 = 65.9%

The triangles are similar triangles, and the values of HK and GH are (b) 4 and 2√5, respectively

The triangles are similar triangles, and they are represented by the following similarity ratio:

GK : HK = HK : JK

From the question, we have:

GK = 2 and JK = 8

So, we have:

2 : HK = HK : 8

Express as fractions

[tex]\frac{2}{HK} = \frac{HK}{8}[/tex]

Cross multiply

HK² = 16

Take the positive square root of both sides

HK = 4

The length GH is calculated using the following Pythagoras theorem

GH² = GK² + HK²

This gives

GH² = 2² + 4²

Evaluate the squares

GH² = 20

Solve for GH

GH = 2√5

Hence, the values of HK and GH are (b) 4 and 2√5, respectively

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Answer:

25

Explanation:

As can be seen from the figure:

The length of each support cable is:

√ 24² + 7² (pythagorean

theorem/

√576 +49

= √625

= √25²

25 feet

so the answer is 25

Answer:

648

Step-by-step explanation:

108X1=108 so 108X6=648

Step-by-step explanation:

I am not sure i understand the text you put there.

what I think is clear is to find the expected number of the appearances of the number 3 when spinning the spinner 100 times.

to do this we start by checking the given information.

and we see that the given table based on the result of in total 50 spins (7+8+9+7+11+8).

when spinning the spinner additional times, we can expect the same structure of distribution of the individual possible results as before. we just scale everything to the new size of the overall sample.

before, with 50 spins, we saw the number 3 9 times.

so, with 100 spins, which is 2×50, we expect to see the number 3 then 2×9 = 18 times.

Answer:

A 95% confidence interval for the mean μ of a population is computed from a random sample and found to be 9 ±3. We may conclude that A. there is a 95% probability that μ is between 6 and 12.

Step-by-step explanation:

hope it helps

Answer:

3/10 chance.

Step-by-step explanation:

Since Theoretical Probability is number of favorable outcomes over number of total outcomes, You can see it here that there are two l's and one c. This means that you will have 3 chances to get the letter you want. There are also 10 different letters. This means that you have a 3/10 chance of getting an l or c.

Answer:

i think that the answer is b

Step-by-step explanation:

lmk if im wrong

Answer:

i

Step-by-step explanation:

i = [tex]\sqrt{-1}[/tex] ⇒ i² = ([tex]\sqrt{-1}[/tex] )² = - 1 , then

[tex]i^{5}[/tex]

= i² × i² × i

= - 1 × - 1 ×i

= 1 × i

= i

Answer:

2/4

Step-by-step explanation:

2/4 does not equel a whole number instead it only reaches 1/2

Answer:

There is no Quadrant V only

Quadrant I

Quadrant II

Quadrant III

Quadrant VI

Answer:

That would be quadrant V

Step-by-step explanation:

Because Quad means 4 and in roman V

Hence, the answer is Quadrant V

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