A jar of 150 jelly beans contains 22 red jelly beans, 38 yellow, 20 green, 28 purple, 26 blue, and the rest are orange. Let B = the event of getting a blue jelly bean Let G = the event of getting a green jelly bean. Let O = the event of getting an orange jelly bean. Let P = the event of getting a purple jelly bean. Let R = the event of getting a red jelly bean. Let Y = the event of getting a yellow jelly bean. Find P(R)

Answer:

14 : 12 , 21 : 18 and 28 : 24 .

Step-by-step explanation:

Answer:

14 : 12 , 21 : 18 and 28 : 24 .

Step-by-step explanation:

Therefore, 14 : 12 , 21 : 18 and 28 : 24

Answer:

9 cm

Step-by-step explanation:

The volume of a square based pyramid is given as :

V = 1/3a²h

Where ; a = base edge ; h = Height

Volume, V = 48 cm³ ; a = 4cm

48 = 1/3 * 4² * h

48 = 1/3 * 16h

48 * 3 = 16h

144 = 16h

h = 144 / 16

h = 9 cm

Height = 9cm

Answer:

4. 52 ft^2

5. 25 ft^2

Step-by-step explanation:

15 -11 To get the width of scrapbooking which is = 4

4 * 13 = 52 ft^2

9 - 4 = 5 ft

5 * 5 = 25ft

Answer:

33 and 55

Step-by-step explanation:

[tex]\frac{x}{y}: \frac{3}{5}[/tex]

x + y = 88

3 + 5 = 8

[tex]y(\frac{x}{y}): y(\frac{3}{5})[/tex]

[tex]x= \frac{3}{5}y[/tex]

[tex]y+\frac{3}{5}y=88[/tex]

[tex]\frac{8y}{5}=88[/tex]

[tex]5(\frac{8y}{5})=5(88)[/tex]

8y = 440

8y ÷ 8 = 440 ÷ 8

y = 55

x + y = 88

x + 55 = 88

x + 55 - 55 = 88 - 55

x = 33

Answer:

B'(3, 5)

Step-by-step explanation:

Rule for the translation of a point (x, y) by 'h' units left and 'k' units upwards,

(x, y) → (x - h, y + k)

If h = 4 and k = 3,

[tex](x, y)\rightarrow(x-4,y+3)[/tex]

Following this rule coordinates of the image point of B will be,

B(7, 2) → B'(7 - 4, 2 + 3)

           → B'(3, 5)

Therefore, coordinates of the image point B' will be,

B'(3, 5)

52 Step-by-step explanation:

Answer:

No solution is posible from the information provided

Step-by-step explanation:

Answer:

1. B

2. C

3. 8, 36

Answer:

Its B since the decimals are lower than the data.

A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

Scientific notation is helpful when dealing with really large numbers with a lot of zeroes because you can express them with smaller numbers, and it looks a lot more simple. It's just a different way to express numbers.

Here's an example : Let's say someone asked me to put the number

650,000,000 into scientific notation.

That would be 6.5 ✕ 10^8

Hope this helps, please mark brainliest if possible. Have a nice day.

Answer:1%

Step-by-step explanation:

Answer:

A= 21.65063509

Step-by-step explanation:

triangle area is =base*hight/2

Because we have a right triangle we can apply the trigonometric functions

sin30 =base/hypothenuse = base/10

cos 30 = hight/hypothenuse =hight/10

sin30 = base /10  ; multiply both sides by 10

base = 10*sin30

cos 30 = hight /10 ; multiply both sides by 10

hight = 10 cos 30

A= 10*sin30*10*cos30/2 =

      100*sin 30*cos 30/2=

            50*sin30*cos30 = ; use calculator make sure is set up in degrees

A= 21.65063509

Answer:

x = 3 or x = 4.

Step-by-step explanation:

We are given the following inequality:

[tex](x - 2)(x - 5) < 0[/tex]

It is a product, and a product is negative when one term is positive and the other is negative.

First case:

[tex]x - 2 > 0 \rightarrow x > 2[/tex]

And

[tex]x - 5 < 0 \rightarrow x < 5[/tex]

Thus, in the natural set: x = 3 and x = 4.

Second case:

[tex]x - 2 < 0 \rightarrow x < 2[/tex]

And

[tex]x - 5 > 0 \rightarrow x > 5[/tex]

Empty set.

Union of the cases:

Second case is the empty set, so we only count the first case. Thus x = 3 or x = 4.

Answer:

I don't understand pls explain

Answer: (-2x-10y)-(-4x-3y)

-2x-10y-(-4x-3y)

-2x-10y+4x+3y

-2x+4x-10y+3y

-2x+4x-10y+3

Answer =2x-7y

Step-by-step explanation:

Answer:

The continents moved by 1.905 centimeters each year.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

In the past 100 years, scientists measured the movement of the continents to be 190.5 centimeters. How much it moved in a year?

100 years - 190.5 centimeters.

1 year - x centimeters

[tex]100x = 190.5[/tex]

[tex]x = \frac{190.5}{100}[/tex]

[tex]x = 1.905[/tex]

The continents moved by 1.905 centimeters each year.

Answer:

the only zero should be -1

Answer:

1 meter =1,000 millimeters. So, the scale is:

7 mm:1,000 mm                      Divide both sides by 7

1 mm:142 6/7 mm - This is the scale that was used

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Let 12x represent the original number.

One fourth of that number can be represented by 3x, and one third of the number can be represented by 4x.

Create an equation that sets this equal to 38, and solve for x:

12x + 3x + 4x = 38

19x = 38

x = 2

The original number is represented by 12x, so plug in 2 as x:

12(2)

= 24

So, the original number is 24.

Answer:

y= 40

Step-by-step explanation:

The sum of the angle of a triangle is 180

2y+ 50 + y+10 = 180

Combine like terms

3y + 60 =180

Subtract 60 from each side

3y +60-60 = 180-60

3y = 120

Divide by 3

3y/3 = 120/3

y= 40

Answer:

y=40

Step-by-step explanation:

2y+ y+10+50=180

3y+60=180

3y=180-60

3y=12O

y=120/3

y=40

hope it helps:)

Answer:

a positive number as 0 is a neutral.

Step-by-step explanation:

1.

[tex] \tan \beta = \frac{1}{ \cot \beta } = - \frac{3}{2 \sqrt{10} } = - \frac{3 \sqrt{10} }{20} [/tex]

[tex] \csc \beta \tan \beta = \frac{1}{ \cos \beta } = \sec \beta [/tex]

Therefore,

[tex] \sec \beta = ( \frac{7}{3} )( - \frac{3 \sqrt{10} }{20} ) = - \frac{7 \sqrt{10} }{20} [/tex]

2.

[tex] \csc y = \frac{1}{ \sin y} = - \frac{ \sqrt{6} }{2} [/tex]

[tex] = > \sin y = - \frac{ \sqrt{6} }{3} [/tex]

Use the identity

[tex] \cos y = \sqrt{1 - \sin ^{2} y} \: \: \: \: \: \: \: \: \: \: \: \\ = \sqrt{1 - {( - \frac{ \sqrt{6} }{3}) }^{2} } = - \frac{ \sqrt{3} }{3} [/tex]

We chose the negative value of the cosine because of the condition where cot y > 0. Otherwise, choosing the positive root will yield a negative cotangent value. Now that we know the sine and cosine of y, we can now solve for the tangent:

[tex]\tan \beta = \frac{ \sin y}{ \cos y} =( - \frac{ \sqrt{6} }{3} )( - \frac{3}{ \sqrt{3} } ) = \sqrt{2} [/tex]

3. Recall that sec x = 1/cos x, therefore cos x = 5/6. Solving for sin x,

[tex] \sin x = \sqrt{1 - \cos ^{2} x} = \sqrt{ \frac{11}{6} } [/tex]

Solving for tan x:

[tex] \tan x = \frac{ \sin x}{ \cos x} = (\frac{ \sqrt{11} }{ \sqrt{6} } )( \frac{6}{5} ) = \frac{ \sqrt{66} }{5} [/tex]

Problem 1

Answer:  It is possible to draw a triangle

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

Explanation:

We use the triangle inequality theorem. Consider a triangle with sides a,b,c

A triangle is only possible if and only if the following three inequalities are all true

Basically, if we can add any two sides to get a sum larger than the third side, then we can form a triangle.

If a = 3, b = 4, and c = 5, then

All three conditions are met, therefore we have a triangle possible.

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

Problem 2

Answer:  No, a triangle is not possible

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

Explanation:

For this problem, and the next two problems, we'll use the triangle inequality theorem also.

Notice that a+b = 4+5 = 9 but this is not larger than c = 9

So the condition a+b > c is not true, and therefore we do not have a triangle possible.

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

Problem 3

Answer:  No, a triangle is not possible

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

Explanation:

Similar to problem 2. A triangle isn't possible because a+b = 5+6 = 11 which is not larger than c = 12.

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

Problem 4

Answer:  It is possible to draw a triangle

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

Explanation:

A triangle is possible here because

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

Problem 5

Answer:   a, c, b

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

Explanation:

Here are two rules we'll use here

This applies to triangles only.

From the diagram, we can see that the 28 inch side is the longest. Angle 'a' is opposite this, making angle 'a' to be the largest angle.

Then we see that angle b is opposite the smallest side, so angle b is the smallest angle. Angle c is somewhere in between angles 'a' and b. So that's why we get the order a, c, b when sorting the angles from largest to smallest.

Answer:

x = 46°

Step-by-step explanation:

the obtuse triangle is isosceles so the angle adjacent to ∠x is 22°

therefore, ∠x = 180-(90+22+22) = 46

Answer:

-6

Step-by-step explanation:

-5+7=2

2-2=0

0-the remaining 6 of the 8=-6

Step-by-step explanation:

22.99 × 2 + 2.02 + 16 × 2 + 26= $106

Answer:

5.4 (rounded)

Step-by-step explanation:

the volume of a cube is length*width*height so here all three are 1 3/4 (same as 1.75) and so you multiply 1.75 * 1.75 * 1.75 and that gives you 5.4 when rounded.

Area of circle=796.5m²

Answer:

Solution given:

circumference of circle=100m

2πr=100m

r=100/(2π)

r=15.92m

now

area of circle=πr²=π×15.92²=796.5m²[approximately]

Answer:

A =796.1783439 m^2

Step-by-step explanation:

circumference  = 2 * pi *r

100 = 2 * pi *r

Divide by 2

50 = pi r

Divide by pi

50/pi = r

Using 3.14 for pi

50/3.14 = r

15.92356688=r

Now we can find the area

A = pi r^2

A = 3.14 ( 15.92356688)^2

A =796.1783439 m^2

equation: 39 - 12 = x

x = 27 (stamps)