In a class test, +4 marks were awarded for the correct answers and -1 mark for the wrong answers. Student scores 40 marks. If his correct answers were 11, find his wrong answers. *

Answer:

y=5x-3

Step-by-step explanation:

slope is 5, plug in (1,2) for x and y to find b

Answer:

[tex] {x}^{2} = {(13 - 6)}^{2} + {9}^{2} = {7 }^{2} + {9}^{2} \\ = 130 \\ x = \sqrt{130} = 11.4[/tex]

Answer:

the answer is 4

Step-by-step explanation:

8x-1=5x+11

3x=12

x=4

Answer:

Answer is B: (-sqrt(3/2 , -1/2)

Step-by-step explanation:

First convert radians to degrees

theta = (7pi/6)*(180/pi)

=210 degrees

Cos(210 degrees)= -sqrt3/2

Thats the x coordinate

sin(210 degrees)= -1/2

thats the y coordinate

Answer:

The corresponding point on the unit circle for the radian measure is [tex](\frac{\sqrt{3} }{2},\frac{1}{2})[/tex]

Step-by-step explanation:

What is unit circle?

A unit circle is typically drawn around the origin (0,0) of a X,Y axes with a radius of 1.

What is radian measure?

One radian is the measure of a central angle that intercepts an arc s equal in length to the radius r of the circle.

The radian measure is,

α=[tex]\frac{7\pi }{8}[/tex]

Changing to degree measure,

[tex]\frac{7\pi }{6} *\frac{180}{\pi } \\=210^{o}[/tex]

The measure on the unit circle is,

(cos [tex]\alpha[/tex] , sin [tex]\alpha[/tex])=(cos 210 , sin 210)

                    =[tex](\frac{\sqrt{3} }{2},\frac{1}{2})[/tex]

Option A.

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Answer:

30%

Step-by-step explanation:

there are two numbers that fit in the x<=3 category, those being -3 and -5, so you add the two decimals for them (.17 and .13) to get .30 and move the decimal two times to the right to make it in percentage form.

The probability of P(x ≤ -3) is 0.30 or 30% if the probability table is provided.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have given a probability table in the picture.

P(x ≤ -3) = P(x = -5) + p(x = -3)

From the table:

P(x ≤ -3) = 0.17 + 0.13

P(x ≤ -3) = 0.30 or 30%

Thus, the probability of P(x ≤ -3) is 0.30 or 30% if the probability table is provided.

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Step-by-step explanation:

y2-y1/x2-x1

is how you can find the slope

Step-by-step explanation:

Given

Maria goal's is to Jog 17.4 miles

She runs 2.75 miles each day for 7 days

Total distance covered by her in 7 days

[tex]\Rightarrow 2.75\times 7=19.25\ \text{miles}[/tex]

So, she covers more than what she had planned.

Therefore, she is successful in her plan.

Answer:

The answer I believe is :  D.

~  Hope this is correct, if I'm wrong I'm sorry, have a gr8 day/ night my friend!~

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

big box is 14 pounds

small box is 6 pounds

Answer:

13 quarts

Step-by-step explanation:

Remember this:

1 mug = 16 oz

1 quart = 32 oz

Find total quarts of coffee.

Setup proportion and solve for x ounces:

[tex]\frac{1 mug}{16 oz} =\frac{26 mugs}{xoz}\\\\x oz=16(26)=416 oz[/tex]

Setup another proportion to solve for x quarts and also use the 416 oz.

[tex]\frac{32oz}{1 qt} =\frac{416oz}{xqt} \\x=\frac{416}{32} = 13 qt[/tex]

The surface area of the composite solid is 165 [tex]feet^2[/tex].

We possess

4 triangles, each measuring 6 feet in height and 5 feet in base

4 rectangles, each measuring 5 feet long and 4 feet wide

1 square has side a = 5 feet.

The formula for a triangle's area is:

[tex]A_T=\frac{1}{2} bh[/tex]

Substitute:

[tex]A_T=\frac{1}{2} 5*6\\A_T=\frac{1}{2} 30\\A_T=15 ft^2[/tex]

Formula for calculating a rectangle's area:

[tex]A_R=lw[/tex]

Substitute:

[tex]A_R=5*4\\A_R=20 ft^2[/tex]

The formula for a square's area is as follows:

[tex]A_s=a^2[/tex]

Substitute:

[tex]A=s=5^2\\A_s=25 ft^2[/tex]

The composite solid's surface area is:

[tex]SA=4A_T+4A_R+A_s[/tex]

Substitute:

[tex]SA=4*15+4*20+25\\SA= 60+80+25\\SA=165 ft^2[/tex]

The composite solid has a surface area of 165 [tex]feet^2[/tex].

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Answer:

45 minutes

Step-by-step explanation:

this is an over-estimate and the reason is 200/5=40 the closest one is actually 45 minutes

Answer:

240

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

Answer:

Step-by-step explanation:

First do 4 -2 to get 2. Then do 30-15 to get 15. It’s 2:15.

You can also do this on a calculator by doing 4.15-2.30. You get 1.85

Remember that time is only up to 60 So you have to subtract 15 from 85 to get 60. So it’s 2 hours and 15 minutes. Hope this helps!

Answer:

A = 60 and B = 30  

Now, A + B = 60 + 30 = 90  

Also, A – B = 60 – 30 = 30  

sin (A + B) = sin 90 = 1  

sin A cos B + cos A sin B = sin 60 cos 30 + cos 60 sin 30

Answer:

1. Adjacent and formed a linear pair

2. Adjacent and formed a linear pair

3. Adjacent

4. Not adjacent

Step-by-step explanation:

In essence, adjacent angles are two angles side by side. Two adjacent angles can form a linear pair when they are created by two lines intersecting. So, in broad terms, they are adjacent on a flat plane (or a straight line), and together they make a 180° angle.

Answer: [tex]882\ in.^2[/tex]

Step-by-step explanation:

Given

The surface area of the cube is [tex]294\ in.^2[/tex]

Surface area is increased by a scale factor of 3

Enlarged surface area is

[tex]\Rightarrow 294\times 3=882\ in.^2[/tex]

Answer:

y + z = x

Step-by-step explanation:

9514 1404 393

Answer:

  14.7

Step-by-step explanation:

The law of sines tells you side lengths are proportional to the sine of the opposite angle.

  x/sin(46°) = 7/sin(20°)

  x = 7(sin(46°)/sin(20°)) ≈ 14.7

The value of x is about 14.7.

Answer:

x= 0

Step-by-step explanation:

1. Combine like terms  

2. Subtract 18x from both sides of the equation

3. Simplify

Solution

= 0

Answer:

1 = A

-1/3 = C

5/6 = B

I am pretty sure

Answer:

3

Step-by-step explanation:

to find the parallel  of this line we need to find function with same slope

1) x+y=-2 ⇒ y=-x-2

2)x=1    

3) x-y=5  ⇒ y=x-5

4)y=1

so third

Answer:

Well since there aren't any specifics all you can be given is an equation on how to solve it, if a box has 6 sides and it's a cube then it will just be L*W=A then multiply that area by 6, that gives you the full surface area and if you want it for 150 boxes then just multiply whatever you got for the surface area by 150. It will be different if it's a rectangular box though, with that you must solve the surface area for 3 different pieces and multiply them all by 2 then add them all up and you get the surface area of that shape, then you multiply by 150 and that's your answer.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Determine the corresponding sides by the same opposite angles.

Opposite sides to 24° angle are FG and KL.

Correct expression is A:

Answer:

Domain would be all real numbers

Step-by-step elelamation

Range would be either:  y ≥ -3 or y ≤ -3 depending whether the vertex is a minimum or a maximum

Answer:

http://fumacrom.com/8rEB

Step-by-step explanation:

http://fumacrom.com/8rEB

Answer:

I dont know, i'm just doing this to get points. lol

Answer:

No

Step-by-step explanation:

A trapezoid is never a square. A trapezoid only has one pair of parallel lines and a square has two.

Answer:

0.335

Step-by-step explanation:

1. There is a 30 percent chance of a flight being delayed because of icy weather ,then the probability of being delayed is 0.3 and of being not delayed is 0.7.

2. If a flight is delayed because of icy weather, there is a 10 percent chance the flight will also be delayed because of a mechanical problem, then the probability of being delayed is 0.1 and the probabilty of not being delayed is 0.9.

3. If a flight is not delayed because of icy weather, there is a 5 percent chance that it will be delayed because of a mechanical problem (MP), then the probability of being delayed is 0.05 and the probabilty of not being delayed is 0.95. (See attached probability tree)

Delayed of icy weather - 0.3

Delayed of MP when weather is not icy - 0.7·0.05=0.035

Now, if one flight is selected at random from the airport in January, the probability that the flight selected will have at least one of the two types of delays is

0.3+0.035=0.335

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Answer:

equilateral

Step-by-step explanation:

all angles are the same size. Has to be equilateral