There is a bag filled with 5 blue, 4 red and 3 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 different colours?

Answer:

it is (22+26)/2=24

Step-by-step explanation:

Answer:

Step-by-step explanation:

125x^9 = (5x^3)^3

64y^12 = (4y^4)^3

If you want that factored it is

(5x^3 + 4y^4)( (5x^3)^2 - 5x^3*4y^4 + (4y^4)^2 )

(5x^3 + 4y^4)( 25x^6 - 20x^3y^4 + 16y^8)

The sum of the faces is going to fall in the range {2, 3, 4, …, 12}, which contains five prime numbers {2, 3, 5, 7, 11}. You can only have one sum at a time, so these outcomes are mutually exclusive. Then

Pr[sum is prime] = Pr[sum = 2] + Pr[sum = 3] + … + Pr[sum = 11]

• sum = 2 can only happen in 1 way (1 + 1)

• sum = 3 can happen in 2 ways (1 + 2, 2 + 1)

• sum = 5 can happen in 4 ways (1 + 4, 2 + 3, 3 + 2, 4 + 1)

• sum = 7 can happen in 6 ways (1 + 6, 2 + 5, …, 6 + 1)

• sum = 11 can happen in 2 ways (5 + 6, 6 + 5)

There are a total of 6² = 36 possible sums that can be rolled, each with probability 1/36 of occurring, so the probability of getting a prime sum is

(1 + 2 + 4 + 6 + 2)/36 = 15/36 = 5/12

Answer:

C, 40 degrees

Step-by-step explanation:

All the angles of a triangle add to 180 degrees according to the Triangle Sum Theorem.

Since all angles sum to 180, we can set all the values to add to 180.

We have:

[tex]2y+y+10+50=180[/tex]

Combining like terms, we have:

[tex]3y+60=180[/tex]

Subtracting 60 from both sides gets us

[tex]3y=120[/tex]

Dividing by 3 from both sides equals

[tex]y=40[/tex]

Answer:

I think the value of y is 40

Step-by-step explanation:

i am not getting it what are you asking

Initial value is your y intercept, and to find that you just need to substitute 0 for x. Anything to the power of 0 is just 1. So you get 34.2(1), which means that your initial value is 34.2.

Answer: 1/2

Step-by-step explanation:

there are 6 sides all together and 3 of those are multiples of two. this fraction is 3/6 but that can be simplified to 1/2

Answer:

1/2

Step-by-step explanation:

For this we will be assuming a die size of six. With that in mind, all even numbers are divisible by two. There are a total of three numbers on a six sided die, those being two, four, and six. We then put this number over the total possibilities, which would be six. It is good form to simplify, which we can. We take three out from our 3/6 to leave us with 1/2.

Answer:

it would be B

Step-by-step explanation:

180 ÷3 = 60 ° (angles on a straight line equals to 180 ° )

a+b+60 =180°

a+ b= 180 ° - 60° = 120°

(a+b) are 2 variables

so 120 ÷2 =60 °

therefore a and b =60 °

c +b+ 60° = 180° ( co - interior angles are supplementary angles )

c+60° +60° =180°

c +120° =180°

c =180°-120°

c=60 °

d=60° (alternate angles are equal )

or

c+b+d=180°

60° +60° + d = 180°

d=180°-120°

d=60°

Answer:

8.90

Step-by-step explanation:

this and the other answers are the rounded ones

Answer

The IQR of the data set is 368.

Explanation

To find the interquartile range, you first need to find the median of the data set. Then, you find the median of the median and subtract them. This might be a little confusing but I'll walk through everything.

First, put the data set in order from least to greatest; 21 78 90 111 381 456 676. Find the median. The median of this data set is 111, since it is the middle number when the data set is ordered from least to greatest.

To find the Q1 and Q3 of the set, you have to find the median of the median.

The set right now is 21 78 90 111 381 456 676. Remove the 111 (if there were an even amount of numbers in the set, you wouldn't remove the 111 and you would just split the data set in half). Now you have two sets: 21 78 90 and 381 456 676. The median of the first set is 78 (this is the Q1) and the median of the second set is 456 (this is the Q3).

To find the interquartile range, subtract the Q1 from the Q3. 456-78=368.

Answer:

You have reached the concluding section of our information about (7/60)×π rad to deg.

7pi/60 rad = 21°.

The radian measure is the standard unit of measure in the areas of math involving a circle like the sine and cosine function, just to name two trigonometric functions.

Using our calculator, formula and information, you have everything for changing the angle measurement at your disposal.

If you have found our post searching for 7pi/60 radian to degrees or a similar term, then you have gotten your answer as well: 7pi/60 rad ⇔ 21°.

Answer:210

Step-by-step explanation: took the test

Answer:

Solution given:

6a+[4(2 + a) +2/3 (3a)]

Substitute value

6*5+[4(2 + 5) +2/3 (3*3)]

Use BODMAS rule and solve

30+[4*7+2/3*

30+[28+6]

30+34

64

Answer:

x=1

Step-by-step explanation:

f(x)=5x−4

f(x) = 1

1 = 5x - 4

Add 4

1+4 = 5x-4+4

5 = 5x

Divide by 5

5/5 = 5x/5

1 = x

Answers:

==============================================================

Explanation:

Refer to the diagram below.

The segment AB is the player's height of 6 ft.

The segment CD is the hoop's height, which is 10 ft.

There is a point E on CD such that rectangle BACE forms. This will help us form ED later.

Angle EBD is what we're after, which I'll call x.

Since the free throw line is 15 ft from the basket, this means segments EB and AC are 15 ft each.

In rectangle BACE, the side EC is opposite AB. So both of those sides are 6 ft each.

Since CD = 10 and EC = 6, this must mean ED = CD-EC = 10-6 = 4.

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

To summarize, we found that ED = 4 and EB = 15.

We'll focus our attention entirely on triangle EBD

We have two known legs of the triangle, specifically the opposite and adjacent sides.

So we'll use the tangent ratio.

tan(angle) = opposite/adjacent

tan(B) = ED/EB

tan(x) = 4/15 .... is the equation to solve

x = arctan(4/15) .... same as inverse tangent or [tex]\tan^{-1}[/tex]

x = 14.931417 ..... make sure to be in degree mode

x = 15 ..... rounding to the nearest whole degree

So that unknown angle in the diagram is approximately 15 degrees

Answer:

81/16

Step-by-step explanation:

(⅔)-⁴

81/16

= 5.0625

Step-by-step explanation:

A. 16 is the answer

hope this helps you

have a nice day:)

This is a special type of triangle, called a 30-60-90 triangle. The hypotenuse is double the shortest leg and the longest leg is the shortest leg multiplied by the square root of 3.

If the hypotenuse is 16, that means the shortest leg of the triangle is 8. Therefore, the longest leg of the triangle is [tex]8\sqrt{3}[/tex].

Hope this helps!

========================================================

Explanation:

The two points mentioned in bold are midpoints of segments AB and AC respectively.

To find the coordinates of a midpoint, you add up the x coordinates and divide by 2. Do the same with the y coordinates.

For example, points A and B are at (7,6) and (1,-2)

If we add up the x coordinates and divide by 2, then we get (7+1)/2 = 4. Do the same for the y coordinates to get (6+(-2))/2 = 2. So that's how (4,2) is the midpoint of segment AB. You'll use similar logic to find that (8,2) is the midpoint of segment AC.

A slight alternative is that once you find one midpoint is (4,2), you can draw a horizontal line until you reach (8,2). We're using the idea that the midsegment is parallel to BC which is also horizontal.

Answer:

it lies between P and R because I tootk the test

Answer:

isocles

Step-by-step explanation:

The sides are not equal

Answer:

66, 114, 114

Step-by-step explanation:

angle 3=angle 1=66

angle 2=angle 4=180- angle 3=114

Answer:

oi ngl levi is hawt I like your pfp ^^

Step-by-step explanation:

my name is Riley

Answer:

The answer is "[tex]\bold{f(n) = 70n + 5}[/tex]"

Step-by-step explanation:

The complete question is defined in the attached file Please find it.  

She started driving further east, 70 kilometers an hour, 5 km east of her home. Allow f(n) at the outset of its nth hour drive to just be Prachi's length from home.

F is a series of arithmetic.

Construct the series with an explicit formula.

[tex]\bold{f(n) = 70n + 5}[/tex]

Answer:

Arithmetic and it is f(n)=5+70(n-1)

Step-by-step explanation:

Khan Academy

Answer:

y = -1x -4

Step-by-step explanation:

The point slope equation is y - y1 = m(x -x1).

You will have to plug in the points (-3, -1) and (2, -6).

y - (-1) = m (x - (-3))

To find "m", find y over x.

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

m = (-6 + 1)/(2 + 3)

m = -5/5

m = -1

Then plug in "m"

y + 1 = -1(x + 3)

then distribute the "m" into the parenthesis and isolate y or subtract 1 from both sides.

y + 1 = -1x - 3

y = -1x -4

Hello!

Sharpened => 35

Unsharpened => 84-35 = 49

Good studies!

Answer:

7: 5

Step-by-step explanation:

unsharpened to sharpened

First we need to determine the number of unsharpened

84 - 35 =49

There are 35 sharpened

49:35

Divide each by 7

49/7 : 35/7

7: 5

[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd \displaystyle \Large \boldsymbol{} a_1=70 \ ; \ d=-5 \\\\S_n=\frac{a_1+a_n}{2} \cdot n \ ; \ a_n=a_1+(n-1)d \Longrightarrow \\\\\\ S_{30}=\frac{70+70-29\cdot5}{2} \cdot 30 =-75 \\\\\\Answer: S_{30}=-75[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

1. The value can be read from the graph. At 3 units to the right of the vertical axis, the line is 3 units above the horizontal axis. The independent variable has a value of 3 at that point.

__

2. The dependent variable has a value of -5 at the next grid line just below the bottom of the graph shown. The value of the independent variable is -1 at that point.

Answer:

LN ≈ 14.2

Step-by-step explanation:

Given that the triangles are similar then corresponding sides are in proportion, that is

[tex]\frac{LN}{IK}[/tex] = [tex]\frac{MN}{JK}[/tex] , substitute values

[tex]\frac{LN}{41}[/tex] = [tex]\frac{9}{26}[/tex] ( cross- multiply )

26 LN = 9 × 41 = 369 ( divide both sides by 26 )

LN = [tex]\frac{369}{26}[/tex] ≈ 14.2 ( to the nearest tenth )

Answer:

4

Step-by-step explanation:

y = kx

Use point (3, 12).

12 = k * 3

k = 12/3 = 4

y = 4x

Answer: 4

Divide y by x:

12/3 = 4

36 / 9 = 4

The constant of variation is 4