You select 35 marbles from a bag. The results are as follows: 4 blue marbles, 9 green marbles, 7 red marbles, 7 white marbles, and 8 yellow marbles. Find P(green). Write the probability as a fraction in simplest form, a decimal, and a percent.

Answer:

[tex]5\sqrt{15}[/tex]

Step-by-step explanation:

[tex](\sqrt{3}+\sqrt{48})(\sqrt{20}-\sqrt{5})[/tex]

[tex]\textsf{Use} \quad \sqrt{a}\sqrt{b}=\sqrt{ab}[/tex]

[tex]\implies (\sqrt{3}+\sqrt{16 \cdot 3})(\sqrt{4 \cdot 5}-\sqrt{5})[/tex]

[tex]\implies (\sqrt{3}+\sqrt{16}\sqrt{3})(\sqrt{4}\sqrt{5}-\sqrt{5})[/tex]

[tex]\implies (\sqrt{3}+4\sqrt{3})(2\sqrt{5}-\sqrt{5})[/tex]

[tex]\implies (5\sqrt{3})(\sqrt{5})[/tex]

[tex]\implies 5\sqrt{3}\sqrt{5}[/tex]

[tex]\implies 5\sqrt{3 \cdot 5}[/tex]

[tex]\implies 5\sqrt{15}[/tex]

Answer:

5√15

Step-by-step explanation:

(√3 + √48)(√20 - √5)

step 1 simplify √48

(√3 + 4√3)(√20 - √5)

step 2 add √3 and 4√3

(5√3)(√20 - √5)

step 3 simplify √20

(5√3)(2√5 - √5)

step 4 subtract √5 from 2√5

(5√3)(√5)

step 5 multiply 5√3 and √5

= 5√15

explanation of each step

step 1 and 3

To simplify radicals you list the factors of the number under the sqaure root

For 48 we have 2 × 2 × 2 × 2 × 3

We then pair the factors off as powers of 2 if possible

We get 2² × 2² × 3 which can further be simplified as 4² × 3

We then list the number with the power on the outside of the radical and leave the numbers with no power on the inside to get 4√3.

This process is used to simplify √20 as well.

step 2 and 4

For these two steps we are adding and subtracting radicals  with the same radicand ( number inside of the square root. ) This is very simply as we keep the radicand the same and just perform the operation to the coeffecients ( number on the outside of the square root )

Eg. a√b + c√b = (a+c)√b or a√b - c√b = (a-c)√b

Hence, 4√3 + √3 = (4+1)√3 = 5√3

Step 5.

Finally we multiply the two radicals. This is very simply as we can use the rule to do so.

a√b × c√d = (a×c)√b×d

Hence, 5√3 × √5 = (5×1)√(3×5) = 5√15

The area decreases by 1155.52 square meters

What we must do is calculate the area before and after making the diameter cut.

The area of a circle is equal to:

a = pi * r ^ 2

now the diameter is equal to:

d = 2 * r

therefore r,

r = d / 2

before the cut would be

r = 96/2

r = 48

replacing in the area formula

a1 = 3.14 * 48 ^ 2

a1 = 7234.56 square meters.

after cutting the diameter decreases by 8, that is, 96 - 8 = 88, calculating the radius would be:

r = 88/2

r = 44

now calculating the new area would be:

a2 = 3.14 * 44 ^ 2

a2 = 6079.04 square meters.

now we calculate the difference

a1 - a2 = 7234.56 - 6079.04

= 1155.52 square meters

means that the area decreases by 1155.52 square meters

Answer:

Good seats sold=80

Poor seats sold=130

Step-by-step explanation:

g + p = 210 seats.  Then p = 210 - g.

($5)g + ($2)p = $660.  Substite 210 - g for p,

($5)g + ($2)(210 - g) = $660

Simplify, 5g + 420 - 2g = 660 => 3g = 240  =>  g = 80

80 and 130

Answer:

key words for less than or equal to is

is at most

is not greater than

does not exceed

has maximum

key words for

is no more than

key words for greater than or equal to is

is at least

is not less than

is not under

has minimum value

is more than or equal to

and for the number line do a open circle on 5 draw line to the right because when I solve 8n=40 you divide 8 on both sides and i get

n>5

Answer:

down below - hope this helped :)

Step-by-step explanation:

question 1 =

below smaller than

under beneath

not more than lesser than

lower than not as much as

question 2

is greater than

is not less than

has minimum value

is more than or equal to

question 3

n x 8 > 40

question 4

4 : 5

16: 20

20 : 25

36 : 45

48 : 60

question 5

-- answered in question 4

Answer:

Step-by-step explanation: The probability of rolling an even number is three out of six, or three-sixths. This fraction can be simplified as the numerator and denominator are both divisible by three.

Answer:

-5

-3

-2

0

1

Step-by-step explanation:

just put the number they give you for x and solve and the answer you get is the answer for y

Answer:

Step-by-step explanation:

Given the slope-intercept form:[tex]y=\frac{1}{3}x-2[/tex]

Slope-intercept form: [tex]y=mx+b[/tex]

We substitute our x-values (-9, -3, 0, 6, and 9) for x in [tex]y=\frac{1}{3}x-2[/tex] to find the y-values.

For -9:

[tex]y=\frac{1}{3}x-2 < ==substitute\ -9\ for\ x\\\\y=\frac{1}{3}(-9)-2\\\\y=\frac{-9}{3}-2 < ==divide\ (don't\ forget\ the\ signs)\\\\y=-3-2 < ==add\ or\ subtract\\\\y=-5 < =value\ of\ y\\\\(-9,-5)[/tex]

For -3:

[tex]y=\frac{1}{3}x-2 < ==substitute\ -3\ for\ x\\\\y=\frac{1}{3}(-3)-2\\\\y=\frac{-3}{3}-2 < ==divide\ (don't\ forget\ the\ signs)\\\\y=-1-2 < ==add\ or\ subtract\\\\y=-3 < =value\ of\ y\\\\(-3,-3)[/tex]

For 0:

[tex]y=\frac{1}{3}x-2 < ==substitute\ 0\ for\ x\\\\y=\frac{1}{3}(0)-2 < ==any\ number\ multiplied\ by\ 0\ equals\ zero\\\\y=\frac{0}{3}-2 < ==divide\ (don't\ forget\ the\ signs)-zero\ divided\ by\ any\ \#\ equals\ 0\\\\y=0-2 < ==add\ or\ subtract\\\\y=-2 < =value\ of\ y\\\\(0,-2)[/tex]

For 6:

[tex]y=\frac{1}{3}x-2 < ==substitute\ 6\ for\ x\\\\y=\frac{1}{3}(6)-2\\\\y=\frac{6}{3}-2 < ==divide\ (don't\ forget\ the\ signs)\\\\y=2-2 < ==add\ or\ subtract\\\\y=0 < =value\ of\ y\\\\(6,0)[/tex]

For 9:

[tex]y=\frac{1}{3}x-2 < ==substitute\ 9\ for\ x\\\\y=\frac{1}{3}(9)-2\\\\y=\frac{9}{3}-2 < ==divide\ (don't\ forget\ the\ signs)\\\\y=3-2 < ==add\ or\ subtract\\\\y=1 < =value\ of\ y\\\\(9,1)[/tex]

*View the attached graph to verify these answers*

Hope this helps!

Answer:

I think its 26 cents i'm not positive tho

Step-by-step explanation:

Answer:

I hope this will help

Answer:

the mean is the closest of 2 or 3

Answer:

The answer is 3.5

Answer:

50% or 1/2

Step-by-step explanation:

P(adult)=0.5

P(children)=0.5

0.5*40=20

20/40=2/4=1/2=0.5

0.5*100=50%

Answer:

227.63 meters^2

Step-by-step explanation:

The formula to find an area of a parallelogram is a = bh (base multiplied by height). According to the figure, the base is 22.1 meters and the height is 10.3 meters.

a = bh
a = 22.1(10.3)
a = 227.63 meters^2

Answer:

420

Step-by-step explanation:

Base is the bottom across

Height is in the middle so multiply them and you get 420 inches

Answer:

rounded answer (+) 171036

rounded answer (-) 169692

Step-by-step explanation:

Answer:

Step-by-step explanation:

Formula for finding slope

Substituting the given points

Answer:

4311/9900 = 0.4354

530/900 = 0.58

674/990 = 0.689

4936/990 - 4.985

8099/ 990 = 8.180

Step-by-step explanation:

Just divide and it should give you the decmile version

Answer:

C

Step-by-step explanation:

Mean is all the numbers in the list added / the number of numbers

(Ex: 14, 13, 15, 17

Mean = (13 + 14 + 15 + 17) / (number of numbers in the list)

Mean = 59 / 4

Mean = 14.75)

Range = (The largest number - the smallest number)

Mode is the number that appears the most

The median is the central number of a data set. Arrange data points from smallest to largest and locate the central number

________________________________________________________

Mean of Ernie = 19

Mean of Lori = 17.6

A is False

Range of Ernie = 7

Range of Lori = 8

B is false

Median of Ernie = 18

Median of Lori = 18

C is true

Mode of Ernie = 17

Mode of Lori = 18

D is false

Answer:

11 soccer balls (rounded estimate; should be close to 11)

Step-by-step explanation:

Because you need to match the limit, you first have to convert in. to ft. That will get you at 2.3 (it is an non-stopping number, so I rounded to the tenths). 11 x 2.3 is  25.3. You can’t go lower, so you have to have that extra soccer ball. Hope this helps.

Answer:

A and E

Step-by-step explanation:

they are both of them correct

Answer:

Jay has the fastest time because the he gained more meters per second.

Step-by-step explanation:

hope this helps if do mark brainllest pls!

Answer:

A) Jay is faster because he is running 5 m/s

AM = MB

CM = common side

∠3 = ∠4

△AMC ≅ △BMC

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

CM ⊥ AB

∠3 = ∠4

We have to prove △AMC ≅ △BMC.

Now,

If CM ⊥ AB

AM = MB

Now,

AM = MB

CM = common side

∠3 = ∠4

△AMC ≅ △BMC

Thus,

AM = MB

CM = common side

∠3 = ∠4

△AMC ≅ △BMC

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

Answer:

Factor and set each factor equal to zero.

g=2a

345

Step-by-step explanation:

Answer: Austin college, 5, Barton college, 3.

Step-by-step explanation:

In the stem 7 there is no 70, but higher, so we just count the leaves on the stem 6; Austin's college contains 5 numbers, and Barton's contains 3.