Find the length of x in the 45 degree, -45 degree, -90 degree triangle. Show work

Using the binomial distribution, it is found that there is a 4% probability of Anne winning two matches.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability that he wins two matches is P(X = 2), hence:

[tex]P(X = 2) = C_{2,2}.(0.2)^{2}.(0.8)^{0} = 0.04[/tex]

4% probability of Anne winning two matches.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

Now, let's apply the formula :

[tex]\qquad \sf  \dashrightarrow \:v = \frac{1}{3} \pi {r}^{2} h[/tex]

[tex]\qquad \sf  \dashrightarrow \:v = \frac{1}{3} \times 3.14 \times {(2)}^{2} \times 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:v = \frac{100.48}{ 3} [/tex]

[tex]\qquad \sf  \dashrightarrow \:v = 33.49333333.....[/tex]

[tex]\qquad \sf  \dashrightarrow \:v \approx33.5 \: \: cm {}^{3} [/tex]

Answer: A

Step-by-step explanation:

The two expressions are equivalent, which gives the same values at x=6 and x=10 when put the values of x and compare them.

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The given expressions are,

[tex]8x +40[/tex]

[tex]8(x+ 5)[/tex]

It has to determine if the two expressions are equivalent using x = 6 and x = 10.

The value of the first equation at x=6 are,

[tex]8x +40=8(6)+40\\8x +40=48+40\\8x +40=88[/tex]

The value of the first equation at x=10 are,

[tex]8(10) +40=80+40\\8(10) +40=120[/tex]

Now, the value of the second equation at x=6 are,

[tex]8[(6)+5]=48+40\\8[(6)+5]=88[/tex]

Similarly, the value of the second equation at x=10 are,

[tex]8[(10)+5]=80+40\\8[(10)+5]=120[/tex]

The values of both equation are same at x=10 and x=6.

Hence, to determine, the two expressions are equivalent using x = 6 and x = 10, put the values of x and compare the values.

Learn more about the equivalent expression here;

https://brainly.com/question/2972832

Answer:

Mr Bean will get 1000 naira.

Step-by-step explanation:

They invested in the ratio of 5:3:2 , meaning that Mr Bean will get half the profit. 1/2 X 2000 = 1000

Answer:

54cm²

Step-by-step explanation:

2(3x6) + 2(6x1) + 2(3x1)

= 54cm²

Answer:

The repeating decimal is 85/99 = 0.858585...

Step-by-step explanation:

A rational number in the form of a fraction can be represented as a decimal by dividing the numerator by the denominator. For example, this is how we get 0.75 = 3/4: (first screenshot)

Now let's divide 85.0000... by 99. Find enough decimal digits in the numerator so we can see whether the decimal terminates or starts to repeat. (second screenshot) Since the number 850 repeats itself, this is a repeating decimal.

Answer:

132 cm³

Explanation:

[tex]\sf volume \ of \ cone = \dfrac{1}{3} \pi r^2h[/tex]

put radius: 3 cm, height: 14 cm, π as 22/7

[tex]\sf \rightarrow \dfrac{1}{3} *\dfrac{22}{7} * (3)^2(14)[/tex]

[tex]\sf \rightarrow 132 \ cm^3[/tex]

Answer:

1. 32

2. 47

3. See explanation for number 3 below

Step-by-step explanation:

All you have to do is simply add 17 to however old Titus is. So if he's 15 years old, you just simply have to do 15+17, which is 32. For number 3, I'm assuming that they just want an explanation for how you do this process, in which case, this explanation is the answer to number 3. If that's not what they're looking for in number 3, then I'm sorry. But I'm pretty sure that's what they want there.

Answer:

  192

Step-by-step explanation:

It is always wise to look carefully at the question to see what information is given, and what information you are asked for. You are given two different fractions of the same number, and you want the value of a third fraction of that number. That third fraction is the sum of the other two.

__

The value of 80% of the number will be the sum of 55% and 25% of the number.

  n×80% = n×55% +n×25%

  n×80% = 132 +60

  n×80% = 192

80% of the number is 192.

_____

Additional comment

Your first clue that there may be something special about this problem lies in the fact that one fraction of a number is all you need in order to find any other fraction. Here, we're given two fractions (55% and 25%), so that is more information than we need. Why? Because it simplifies the problem to one of addition. No proportions need to be solved.

__

If you were interested, you could determine 100% of the number to be ...

  132/n = 55/100   ⇒   n = 132(100/55) = 240

or

  60/n = 25/100   ⇒   n = 60(100/25) = 240

Then ...

  0.80n = 0.80(240) = 192 . . . . 80% of the number

Or, you could write proportions for the 80% value:

  80%/55% = n/132   ⇒   n = 132(80/55) = 192 . . . . 80% of the number

  80%/25% = n/60   ⇒   n = 60(80/25) = 192 . . . . 80% of the number

__

"Look carefully" includes thinking about the ways the givens and the finds are related.

Answer:

Its 320 i think its so many numbers my eyes cant keep up

Step-by-step explanation:

just add em all up

Answer:

268

Step-by-step explanation:

Divide the figure into 3 pieces, a triangle, a rectangle, and another rectangle.

Triangle area=18*(15+6+1) * 1/2, or 189

Rectangle 1= 4*11= 44

Rectangle 2= 7*5= 35

Add all up, get 268

Answer:

A(11:15)

Step-by-step explanation:

3+3 is 6

then Is 6+2 so is 8 then ir repeats ats 3 Like 3 6 8 and then 11

Answer: [tex]log (x^3y )[/tex]

Step-by-step explanation:

First we want to make the coefficients of the log the exponents of what is in the log

[tex]3 log (x) + 2 log (y) - log (y)\\log (x^3) + log (y^2) - log (y)[/tex]

Now adding two log with the same base is the same as multiplying what you are taking the log of

[tex]log (x^3) + log (y^2) - log (y)\\log (x^3y^2) - log (y)[/tex]

Now subtracting two logs with the same base is the same as dividing what you are taking the log of

[tex]log (x^3y^2) - log (y)\\log (\frac{x^3y^2}{y} )[/tex]

Now we simplify

The [tex]y^2[/tex] cancels out the y in the denomiator

[tex]log (x^3y^2) - log (y)\\log (x^3y )[/tex]

Step-by-step explanation:

xlog3+ylog2-ylog

log3×log2 -ylog

log6-ylog

Answer:

Step-by-step explanation:

If i is 300 times as much as k, then i=300k.

So we have k(something)=300k -> that something is 300

Answer:

41

Step-by-step explanation:

an = a1 + (n-1)d

a_n = the nᵗʰ term in the sequence = 10

a_1 = the first term in the sequence = 5

d = the common difference between terms = 4

a10 = 5 + (10-1)4

a10 = 5 + (9)4

a10 = 5 + 36

a10 = 41

Answer:

It has 6 faces, So, each face has an area = 486/6 = 81 sq cm. Side of the cube =√81= 9 cm. Hence, volume of the cube = 9^3 = 729 cm^3.Jul 18, 2019

Step-by-step explanation:

Hope it's help

There's a mistake in your question it's not T.S.A of cuboid it is T.S.A of cube . Because it's not possible to find the length , breadth and height of cuboid without giving only it's Total Surface Area .

If TSA of cube box is 486 cm square , find its volume .

For solving such types of questions we must have knowledge of faces of shapes and formula for surface areas and volumes of three dimensional shapes .

We know that cube have 6 faces . So area of each faces is equal to :

[tex] \rightarrow \: \cancel\frac{486}{6} \: cm \: sq.[/tex]

Now , dividing 486 by 6 :

[tex] \rightarrow \: 81 \: cm \: sq.[/tex]

Therefore , each square faces of cuboid have area of 81 cm square .

Now , We know that area of square :

Therefore , side/edge of cube is of 9 cm ..

Now , finding volume of cube :

We know that volume of cube is equal to ,

Therefore , volume of cube is 729 cm³ .

Answer:

201

Step-by-step explanation:

C = 2pi.R

50.24/2pi = R

R= 8

area = pi R² = pi x 8² = 201

The revenue that the Spain government gained from tariffs and the revenue gained from income tax compare as given by: Option d. the government will earn €49.7616 billion more from income tax than from tariffs.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

For this case, we have these information:

Calculating the earnings from tariffs and income tax:

Tax generated from income = 21% of €552970 =

[tex]\dfrac{552.97 \times 10^9}{100}\times 21 = 116.1237 \: \rm billion \: euros[/tex]

Earning from tariffs = 52.353 billion + 14.0091 billion = 66.3621 billion

Difference in earning from income tax and tariffs is:

116.1237 billion - 66.3621 billion = 49.7616 billion euros.

Thus, the revenue that the Spain government gained from tariffs and the revenue gained from income tax compare as given by: Option d. the government will earn €49.7616 billion more from income tax than from tariffs.

Learn more about percent here:

https://brainly.com/question/11549320

Answer:

h = 8 units, b = 20 units

Step-by-step explanation:

h = 2 units
2 x 4 = 8

b = 5 units
5 x 4 = 20 units

Therefore, h = 8 units and b = 20 units

Hope this helps :)

Answer:

60 feet

Step-by-step explanation:

Answer:

55°

Step-by-step explanation:

The definition of an isosceles triangle is that there are two sides of equal length and one side of a different length. Because two sides have the same length, their respective angles have the same measure. For example, side BC goes with angle A; because it is the same length as side AB which goes with angle C, angles A and C are the same. Just set the angles equal to each other and begin solving an algebraic expression as shown here:

[tex]3x+40=x+50\\3x-x+40 = x-x+50\\2x+40=50\\2x+40-40=50-40\\2x=10\\\frac{2x}{2} =\frac{10}{2} \\x=5[/tex]

Now that you know what x is equal to, plug it into angle A's equation.

[tex]3(5)+40\\15+40\\55[/tex]

Angle A is equal to 55°

Answer:

rectangle

Step-by-step explanation:

the question is asking what the shape of the cross section would be if it was perpendicular to the base. imagine a cylinder that you could slide a piece of paper into. what would be inside the cylinder? perpendicular to the base, it would be a rectangle. if it was parallel to the base, you'd then have a circle.

Answer: Let SP of 15 candles = Rs.100. CP of 12 candles = SP of 15 candles = Rs.100 CP of 15 candles = = Rs.125 Loss = CP – SP = 125 – 100 = 25 = 20% 10.

Step-by-step explanation: This was a simple answer also CP means sale price

Answer:

Third one down |2s + 1| -3

Step-by-step explanation:

there is no value of s where it is valid

Answer:

125,44

Step-by-step explanation:

Loss = 112÷100*12

=13,44

Therefore : 112 + 13%

=112 + 13,44

=125,44

3/x=27/54

or,x×27=3×54

or,27x=162

or,x=162/27

or,x=6

Hope you will give me brainliest

scenario - as it describes the story and the character's action.

Ella wrote 8 more stories than Anna in the fifth grade.

let s, be the number of pages Anna wrote.

Expression:

s + 8

Step-by-step explanation:

a) a = base edge

b) h = height