A bag contains 8 red marbles, 4 blue marbles and 2 green marbles. If two marbles are
drawn out of the bag, what is the exact probability that both marbles drawn will be
red?

First rewrite the equation in slope intercept form

slope intercept form: y = mx + b [ where m is slope and b is y-intercept ]

[tex]\rightarrow \sf 8y = -2x+32[/tex]

[tex]\rightarrow \sf y =\dfrac{ -2x+32}{ 8}[/tex]

[tex]\rightarrow \sf y =\dfrac{ -2x}{ 8} + \dfrac{32}{8}[/tex]

[tex]\rightarrow \sf y =\dfrac{ -1}{ 4}x + 4[/tex]

comparing with y = mx + b

x-intercept:          ( then y will be 0 )

[tex]\hookrightarrow \sf -2x + 32 = 0[/tex]

[tex]\hookrightarrow \sf -2x = -32[/tex]

[tex]\hookrightarrow \sf x = 16[/tex]

In order to graph the line

Graph:

Compare to slope intercept form

Answer:

(n + 4)^3/5 .

Step-by-step explanation:

⁵√(n + 4)^3

⁵√(n + 4) = (n + 4)^1/5

⁵√[(n + 4)^3]  =  (n + 4)^1/5 ^ 3

=  (n + 4)^3/5 .

So

Answer:

0.6

Step-by-step explanation:

0.551567

You look at the hundredth value to see if you can find it up to the tenth.

If it's at least between 5-9 then round anything below between1-5 you can not found.

Answer:

0.6

Step-by-step explanation:

Answer:

7.62

Step-by-step explanation:

Using Phythagoras' theorem...

Hyp^2 = a^2 + b^2

that is:

8^2 = 11^2 + r^2

64 = 121 + r^2

64-121 = r^2

58 = r^2

therefore r = sqrt of 58

NB: Not sure but there you go.

Answer:

r ≈ 3.6

Step-by-step explanation:

∠ OAB is right ( angle between tangent and radius at point of contact )

then Δ OAB is a right triangleΔ

using Pythagoras' identity in the right triangle

with hypotenuse OB = r + 8 , then

OB² = OA² + AB² , that is

(r + 8)² = r² + 11²

r² + 16r + 64 = r² + 121 ( subtract r² from both sides )

16r + 64 = 121 ( subtract 64 from both sides )

16r = 57 ( divide both sides by 16 )

r = [tex]\frac{57}{16}[/tex] ≈ 3.6 ( to the nearest tenth )

Answer:

1.5 seconds

Step-by-step explanation:

plug 0 in for y

0=-16t^2+36

then slove for t

-36=-16t^2

-36 / -16 = 9/4

9/4=t^2

square root of 9/4 is 3/2 or 1.5

t=1.5

Answer:

The domain is equal to (x)=√x

(x)=x is x>0x>0

Answer:

i am not 100% sure but i think

Step-by-step explanation:

20,666.88 i believe that is the answer

Answer:Answer C) 7

Step-by-step explanation:

M= -14-20+32

-34 + 32

M=-2

N= 19-32+22

N = 19-10

N = 9

M + N = -2+9

M+N = 7

Answer c

Answer:

$1349.75

Step-by-step explanation:

Use the equation for volume of a cylinder - pi * radius^2 * height

Halve the diameter to find the radius - 1.5 / 2 = 0.75 ft

Find the volume of the cylinder - pi * 0.75^2 * 30 = 53.0143760293 cubic feet or ft^3

Multiply volume by cost per cubic foot - 53.014... * 25.46 = 1349.746013706

Round to nearest cent = $1349.75

:)

Answer...

Ok done. Thank to me >:33

Answer:

Step-by-step explanation:

Remark

Normally you would have to make sure that the bottoms of each fraction to be added would be the same. In this question, they are, so nothing further to getting the bottoms the same has to be done,

Solution

answer = 7 / 16 + 3 / 16

answer = (7 + 3) / 16

answer = 10/16        

Both top and bottom are even numbers so you can divide both top and bottom by at least 2.

10/2 = 5

16 / 2 = 8

So answer = 5/8

OptionAStep-by-step explanation:95% confidence interval is obtained using the following formulaCOnfidence interval lower bound = mean - critical value * sigma/sq rt nand upper bound = mean + critical value*sigma/sq rt nThus margin of error = critical value*sigma/rt nvaries indirectly as n provided others are remaining the same.Hence lower sample indicates higher margin of errorOut of 4 options given we find that 1 option has maximum margin of error as 21%Hence option. A is most likely coming from a small sample.

Answer:

81.7 in (nearest tenth)

Step-by-step explanation:

[tex]\textsf{Circumference of a circle}=\sf 2 \pi r\quad\textsf{(where r is the radius)}[/tex]

Given:

Substituting given value into the formula:

[tex]\begin{aligned}\implies \textsf{Circumference} & =2 \pi \cdot 13\\ & = 26 \pi\\ & = 81.7\: \sf in\:(nearest\:tenth)\end{aligned}[/tex]

Answer:

360

Step-by-step explanation:

The inside corners of an equilater trinagle measure 60 degrees

Besides: ∠M + ∠N = 180 because supplementary angles

∠M + 60 = 180 --> ∠M = 120

Same reasoning for the pair ∠Q , ∠R and for the pair ∠X , ∠top insideangle

Hence ∠R = 120 and ∠X = 120

Therefore, the sum of the exterior angles is

∠M + ∠R + ∠X = 360

Answer: 60

Step-by-step explanation:

Area = ½base × height

600 = ½b × 20

600/20 = ½b

Base = 30 × 2

Answer:

The answer is (-3,-2)

Step-by-step explanation:

I cant do this right now.

Answer:

95

Step-by-step explanation:

Answer:

95°

Step-by-step explanation:

you need to read where the line is along the numbers.

Answer:

a. 3p-3q-3r

b. -88a+22b

c. 2y-2

Answer: Here are your answers...

a.) 3p - 3q - 3r

b.) -88a + 22b

c.) 2y - 2

Step-by-step explanations:

For A: 3 × p - 3 × q - 3 × r

For B: -11 × 8a -11 × -2b

For C: 2 × y - 2 × 1

I hope this helped you!

Answer: -5.6

Step-by-step explanation: Subtract 2.4 from both sides

Divide both sides by -3

Answer: y= X-3

Step-by-step explanation:

I plugged it into the calculator. You can also use the formula y2-y1 all over x2-x1. Then use the formula y-y1=m(x-x1).

Answer:

2.9 years

Step-by-step explanation:

80.6

I know that’s right because I took the test.

You were on the right track. Here are two ways to go about it.

• By definition of conditional probability,

Pr[A | B] = Pr[A and B] / Pr[B]

Out of the total 100 participants in the survey, there are 18 people that both have a positive attitude and are over 35, so

Pr[positive and over 35] = 18/100

Out of the 100 pariticipants, 40 are over 35, so

Pr[over 35] = 40/100

Then the conditional probability you want is (18/100) / (40/100) = 18/40 = 9/20.

• There are 40 people over 35 in the survey. You want the probability that someone randomly chosen from this group has a positive attitude, of which there are 18. Hence the probability is 18/40 = 9/20.

Answer:

1 cm : 5 feet

Step-by-step explanation:

4 cm : 20 feet

1 cm : 5 feet

20 has been divided by 4.

Answer:

They bisect each other.

Step-by-step explanation:

→Solution,

Here, coordinate of quadrilateral DEFG are D(-3,-5), E(-4,3), F(2,6) and G(3,-2).

⇒For diagonal DF.

Let,(x1,y1)=(-3,-5)

     (X2,Y2)=(2,6)

→Using midpoint formula.

[tex]x=\frac{x_1+x_2}{2} ,y=\frac{y_1+y_2}{2} \\\\x=\frac{-3+2}{2} ,y=\frac{-5+6}{2}\\\\x=\frac{-1}{2} ,y=\frac{1}{2}[/tex]

⇒For diagonal EG.

Let,(x1,y1)=(-4,3)

     (X2,Y2)=(3,-2)

→Using midpoint formula.

[tex]x=\frac{x_1+x_2}{2} ,y=\frac{y_1+y_2}{2} \\\\x=\frac{-4+3}{2} ,y=\frac{-2+3}{2}\\\\x=\frac{-1}{2} ,y=\frac{1}{2}[/tex]

Here, the midpoint of diagonal DF and EG is equal.

Hence they bisect each other.

Midpoint of DF and EG must be same

#DF

M(x,y)

#EG

P(x,y)

As mid points are equal diagonals bisect each other

The second image in the diagram is a hyperbola. As can be seen, the plane cutting the cone can be at any angle but never equal to the slant angle of the cone. This has a very important implication. The plane cuts both cones of the double-napped cone. The third double-napped cone of Figure 3 shows two hyperbolas.

The plane sliced a third double-napped cone to produce a hyperbola

The second image in the diagram is a hyperbola.

As can be seen, the plane cutting the cone can be at any angle but never equal to the slant angle of the cone.

The slant angle of a pick is defined as the angle between the axis of the pick and the normal direction of the rock surface being cut by the pick.

This has a very important implication.

The plane cuts both cones of the double-napped cone.

The third double-napped cone in two hyperbolas.

Thus, The plane sliced a third double-napped cone to produce a hyperbola.

To learn more about the hyperbola visit:

https://brainly.com/question/2351925

#SPJ2

Answer:

Approximately normal

Mode: 4

Range:9

Step-by-step explanation:

The data is pretty evenly spread, the data isn’t pushed to the left or right giving the answer of approximately normal.

Mode: The number that occurs the most is the mode. This means that 4 would be the answer because it has the most dots.

Range: To find the range subtract the smallest number from the biggest number. In this case you would get 9-0 (this is because no data is recorded for 10) which equals 9.

I hope this helps! :)