In the diagram, Find the value of w

Answer:

P(X1) = 1, P(X2)= 2/3, P(X3)= 2/3, P(X4)= 1/3, P(X5)= 2/3, P(X6)= 1/3, P(X7)= 1/3 and P(X8)= 0

Step-by-step explanation:

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)

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

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]

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:

the only zero should be -1

Answer:

I don't understand pls explain

Answer:

5

Step-by-step explanation:

Given the set {4,9,12,19,26}

The cardinality of any given set is the measure of the size of the set. Hence, cardinality if a set simply means the size of a set, which is obtained by counting the number of distinct element in the set.

The set Given above, the number of distinct element in the set is 5 ; Hence, the cardinality of the set is 5

Step-by-step explanation:

22.99 × 2 + 2.02 + 16 × 2 + 26= $106

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:

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:1%

Step-by-step explanation:

52 Step-by-step explanation:

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.

Answer:

Its B since the decimals are lower than the data.

Answer:

-6

Step-by-step explanation:

-5+7=2

2-2=0

0-the remaining 6 of the 8=-6

equation: 39 - 12 = x

x = 27 (stamps)

Answer:

a positive number as 0 is a neutral.

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: (-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:

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:

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:

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:

No solution is posible from the information provided

Step-by-step explanation:

Answer:

1. B

2. C

3. 8, 36

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

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:

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.