A box contains colored pencils. The probability of drawing 2 green pencils at random without replacement is 11/295, and the probability of drawing 1 green pencil is 1/5. What is the probability of drawing a second green pencil given that the first pencil drawn is green?

Answer:

40217.6 cubic feet

Step-by-step explanation:

Given data

Diameter= 40feet

Radius= 20feet

Height=32feet

The expression for the volume is given as

V= πr^2h

Substitute

V= 3.142*20^2*32

V= 3.142*400*32

V=40217.6 cubic feet

Hence the volume of the tank is 40217.6 cubic feet

9x - 2y = 19, 7x = 21

7x = 21

=> x = 21/7

= x = 3 —————(1)

9x - 2y = 19

=> 9(3) - 2y = 19 [From (1)]

=> 27 - 2y = 19

=> -2y = 19 - 27

=> -2y = -8

=> y = -8/-2

=> y = 8/2

=> y = 4

So, x = 3 and y = 4.

Answer:

ax2+bx+c

Step-by-step explanation:

A-2

B-3

C-1

Answer:

A = 2, B = 3. C = 1

Step-by-step explanation:

A, B, and C correspond to the coefficients of the terms. (ax² + bx + c)

Therefore:

A = 2

B = 3

C = 1

Answer:

f(x) and g(x) are closed under multiplication because when multiplied, the result remains a polynomial.

Step-by-step explanation:

First, to be closed means that once an operation has commenced, the result is a polynomial, just like the two original ones.

When polynomials are multiplied, exponents simply add together, and constants are multiplied. A polynomial is a finite sum of terms in which all variables have whole numbered exponents.

In this scenario, when we multiply polynomials, exponents are solely added together, and one whole number plus another is still a whole number. Similarly, constants multiplied by constants stay as constants, and constants multiplied by variables keeps it in polynomial form. (e.g. 3 * x² makes it 3x², and 3x² is fine in a polynomial).

Therefore, given these facts, f(x) and g(x) are closed under multiplication because when multiplied, the result remains a polynomial.

Let the third side be x

using Pythagoras theoram

x²+4²=7²

x²= 49-16

x²= 33

x=√33

Answer:

49.6% of container A is still full

Step-by-step explanation:

volume of a cylinder : pi×r²×h

Va = pi × 12² × 15 = pi×144×15 = 6785.84013... ft³

Vb = pi × 8² × 17 = pi×64×17 = 3418.05281... ft³

how much of A is still filled, when B has been completely filled ?

Va left = Va - Vb = 3367.78732... ft³

100% of Va = 6785.84013... ft³

1% of Va = 67.8584013... ft³

so, how often does 1% of Va fit into the remaining filing volume of A (Va left) ?

3367.78732... / 67.8584013... = 49.6(2962963...)%

Answer:

8y

Step-by-step explanation:

Product means multiply

8*y

8y

Answer:

336 m³

Step-by-step explanation:

You just have to multiply the height × width × lenght:

12×14×2=336

Answer:

C

Step-by-step explanation:

4 squares and each square has 2 slots out of 3 filled in

4×2/3

Yes, you can post it and I'll try to answer

Answer:

50 muffins

Step-by-step explanation:

20 : 40%

y : 100%

[tex]\frac{20}{y} :\frac{40}{100}[/tex]

y · 40 = 20 · 100

40y = 2000

40y ÷ 40 = 2000 ÷ 40

y = 50

Answer:

50

Step-by-step explanation:

first you must find out how many muffins are in 1%, that will be .5 muffins which also meens that every 2% there will be 1 muffin. so we do 100 dived by 2 and you will get 50 which is the amount of muffins that will be made

Answer:

The correct answer is – 1/2

Answer:

The answer is -1/2

Step-by-step explanation:

If we compare this with y = mx + c, we can do a comparison. m is the slope and c is the added constant.

Since y = -1/2 x + 1/4,

m = -1/2

Since m is the slope, the slope is -1/2.

Answer:

y = 1/6x -4

Step-by-step explanation:

First find the slope

m= ( y2-y1)/(x2-x1)

m=(-5 - -3)/( -6 -6)

   = (-5+3)/ (-6-6)

       = -2/-12

       = 1/6

The slope intercept form is

y= mx+b where m is the slope and b is the y intercept

y = 1/6 x +b

Substitute a point into the equation

-5 = 1/6(-6) +b

-5 = -1+b

Add 1 to each side

-4 = b

y = 1/6x -4

Answer:

y=1/6x-4

Step-by-step explanation:

Answer:

y = 5x - 13

Step-by-step explanation:

point slope form: y - y1 = m (x - x1)

plug in: y1 = -3,  x1 = 2,  m = 5

y - (-3) = 5 (x - 2)

y + 3 = 5x - 10                                     <- simplify and expand

y = 5x - 13                                    <answer for slope intercept

equation: y = 5x - 13

I'm not sure what equation type you would like as well as your possible answer choices, but I hope this helps!

Answer:

[tex]\sqrt{1}[/tex]

Step-by-step explanation:

Anything to the zeroth power becomes 1, and anything to the negative power can be turned into the root of it. For example, 1 to the -2 power = [tex]\sqrt{1\\}[/tex]

Hope this helps!!

Please mark me Brainliest

:)

Answer:

√13 + 3 = x

-√13 + 3 = x

Step-by-step explanation:

y = x² - 6x - 4

0 = x² - 6x - 4

0 + 13 = x² - 6x - 4 + 13

13 = x² - 6x + 9

13 = (x-3)²

±√13 = x-3

±√13 + 3 = x

√13 + 3 = x

-√13 + 3 = x

Answer:

See explanation

Step-by-step explanation:

Let

x = number of messages Salma sent

x + 9 = number of messages Brian sent

2(x + 9) = number of messages Chang sent

Total messages sent = 55

x + (x + 9) + 2(x + 9) = 55

x + x + 9 + 2x + 18 = 55

4x + 27 = 55

4x = 55 - 27

4x = 28

x = 28/4

x = 7

Number of messages Salma sent = x = 7 messages

Number of messages Brian sent = x + 9

= 7 + 9

= 16 messages

Number of messages Chang sent = 2(x + 9)

= 2(7 + 9)

= 2(16)

= 32 messages

Answer:

10

Step-by-step explanation: can u tell me if am right

Answer:

Suppose x∈R is such that x+20x=p is a prime. Then x2−px+20=0 , and this equation has a solution x∈R if and only if p2–80≥0 . So the primes which admit no real solution are those that satisfy p<80−−√ , or 2 , 3 , 5 , and 7 . ■

Step-by-step explanation:

E? <3

The primes which accept no real solution exist as those that satisfy

p<[tex]\sqrt{80}[/tex], or 2, 3, 5, and 7.

A prime number exists as a real number greater than 1 whose only factors that exist are 1 and itself. A factor exists as an entire number that can be divided evenly into another number. The first prime numbers exist 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. Numbers that contain better than two factors exist named composite numbers.

If the function f(x) = (20/x) + x = k. Suppose x∈R exists such that x+20x=p exists a prime. Then [tex]$x^2-px+20=0[/tex], and this equation contains a solution x∈R if and only if [tex]$p^2-80[/tex] ≥ 0. So the primes which accept no real solution exist as those that satisfy p < [tex]\sqrt{80}[/tex], or 2, 3, 5, and 7.

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Answer:

This question is so complex

Step-by-step explanation:

kfdsjbdsnmvn sdbvjhsbadjvm dashbnvdjnzcxshjd

Answer:

1) 3,3

2) 4,5

3) 6,1

4) 1/36

There are 36 possible outcomes when you roll a dice. Rolling two 3s is only one of the possible outcomes. Therefore, the fraction 1/36 can represent this probability.

Answer:

Step-by-step explanation:

first arrange the data from ascending to descending order.

11 , 12 , 15 , 17 , 19 , 20 , 21 , 22

Median(Q2)=(N+1)/2

=8+1/2

=9/2

=4.5 th term

=(4 th term + 5 th term)/2

=(17+19)/2

=36/2

=18

therefore the median of the set of data is 18.

From the given equation, [tex]4^{t}[/tex] represent the number of bacteria increases by a factor of 4 each day.

An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

A microbiologist during a study on a culture of 250 bacteria noticed that he can model the number of bacteria after t number of days by the equation

[tex]B = 250 \times[/tex] [tex]4^{t}[/tex]

t stands for training days(Add one to the power of 4 every day)

Every day is four time more than the day before.

So, the number of bacteria increases by a factor of 4 each day.

So, this answer is Option C.

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Answer 813.8

Step-by-step explanation:

Well 813.8 is the answer. Why? Lets talk it out if there are 75 submissions and it says Paul will accept 2/5 of the submissions so we have to do is 75- 2/5 will be 74.6 and multiply by 13 because 13 pages is in a article so we got 969.8 and then minus 156 because it asking us how many "more" pages they need so 813.8 is the answer if you subtract 969.8 and 156.

Answer:

1,099 cubic inch or 18.01 liter

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Radius (r) = 5 inches

Height (h) = 14 inches

So, Volume of can = π[tex]r^{2}[/tex]h

By putting the value in the formula, we get

= π [tex]5^{2}[/tex] × 14

= π 25 × 14

= 350π

= 350 × 3.14

= 1,099 cubic inch

As 1 liter = 61.02 cubic inch

So, 1,099 ÷ 61.02 = 18.01 liter

Answer:

false

Step-by-step explanation:

used cars can often have higher interest rates

Answer:

300

Step-by-step explanation:

Answer:

3) The value of k is 8. 5) The slope of the line y=-17x+47/3 is -17.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(k-5)/(2-1)

m=(k-5)/1

m=k-5

k-5=3

k=3+5

k=8

----------------------

5) y=mx+b where m=slope and b=y-intercept.