If P(E)=0,40,P(E or F)=0.55, and P/E and F)=0.20, find P(F).
P(F)-(Simplify your answer.)

Given :-

To Find :-

Solution:-

Taking the given equⁿ :

[tex]\bf \implies30=\dfrac{5}{6}y[/tex]

[tex]\bf \implies 30\times 6=5y[/tex]

[tex]\bf\implies y=\dfrac{\cancel{30}\times6}{\cancel5}[/tex]

[tex]\underline{\boxed{\red{\bf{\longmapsto \qquad y \qquad = \qquad 36 \qquad}}}}[/tex]

[tex]\boxed{\green{\bf\pink{\dag}\: Hence\:the\:value\:of\:y\:is\:36.}}[/tex]

Some rules :-

On transposing numbers or variables,

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

Explanation:

The order is important for ABC and XYZ so we can see what letters pair up.

Based on that, we can see that AB pairs with XY as they are the first two letters of ABC and XYZ respectively.

Divide the length XY over AB and reduce

XY/AB = 10/15 = 2/3

We could also divide XZ over AC

XZ/AC = 14/21 = 2/3

and we get the same ratio

Answer: x = 2

If x is the width of the window, the value for x that results in the greatest area-- presumably admitting the greatest amount of light.

Step-by-step explanation:

Initial calculations to find a starting value for w.

Determine dimensions that will have a sum of 8 as the perimeter. The length of the arc plus three sides of the rectangle.

The length of the arc is  half the circumference of the circle, the width is the diameter. So, modifying the equation: C= πd,  a = πw/2

Three sides of a rectangle (presumably a square for the initial calculation) 3w

Initial equation: 3w + πw/2 = 8    Substitute 3.14 for π  and solve for w

2(3w) + 2(3.14w/2) = 2(8)   multiply all terms by 2 to eliminate denominator

6w + 3.14w = 16   combine like terms

9.14w  = 16   divide both sides by 9.14

w ≈ 1.75

Calculate the area using this value:

Area of semicircle:  πr²/2   r= 1.75/2  

3.14(.875)²/2 ≈ 1.203

Area of rectangle  1.75 × 1.75 = 3.0625

Total Area with width 1.75  :  4.265 ft²

Increasing the width to 2

The length of the arc becomes 3.14   This is twice the area of the semicircle.

3.14/2 = 1.57

The height of the rectangle reduces to 1.43

1.43 × 2 = 2.86

Total area with width of 2 ft   2.86 + 1.57 = 4.43 ft²

So 2 ft seems to be the optimal width.

=$75.66 all in all and $67.99 dollars

Answer:

n=8

Step-by-step explanation:

Add 8 to both sides of the equals sign, then bring down -8n, add -72+8, You'll get -64, lastly you divide -64 and -8, and you'll get your answer

Answer:

Shop A & $400

Step-by-step explanation:

-4.7 + 27.5 + 122.3 = $145.1 (Shop A)

-0. 2 + 14.5 + 130.4 = $144.7 (Shop B)

Difference = 145.1 - 144.7 = $0.4

0.4 × 1000 = $400

A is the right anwer to your Question because of the Hours and weeks

Answer:

110

Step-by-step explanation:

88+22=110

Answer:

1/6

Step-by-step explanation:

The value of the fraction that is equal to the number 0.16666... would be 5/30.

Given that,

Change the number 0.16666... into a fraction.

Used the concept of fraction which stated that,

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction.

Let us assume that the number 0.1666.. equal to x.

Hence,

x = 0.166666 .....  .. (i)

Multiply by 10 on both sides,

10x = 1.66666...  (ii)

Also, multiply by 100 in equation (i),

100x = 16.6666.. (iii)

Subtract equation (ii) from (ii),

100x - 10x = 15

90x = 15

x = 15/90

Simplify for the simplest form,

x = 5/30

Therefore, the value of the fraction is 5/30.

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Answer:

it must be 30, 30, 33

Step-by-step explanation:

first, divide 93 by 3, since a triangle has 3 sides, you would get 31, yet if you took away that three in 93, it'd be 30. For that one that exceeds the others by 3, add the three to one of the thirds, and the other two are just the same, so when it said, "exceeds the length of one of the other sides," It didn't really change anything, because the other side is just as long.

Answer:

1,030.11703766971

Step-by-step explanation:

Just use a calculator (windows + r and then type calc if your on windows or search up calculator)

Answer:

Claires mother did better because her z score was greater than Claires

Step-by-step explanation:

I j took the quiz

Claire's mother did better because her z-score was greater than that of Claires.

A Z-score is defined as the fractional representation of data point to the mean using standard deviations.

As per the given information, the solution would be as

Here is Claire's data:

ц₁ = 510

σ₁ = 110

X₁ = 690

⇒ z-score = (X₁-ц₁ )/σ₁

Substitute the values,

⇒ z-score = (690 - 510)/110

⇒ z-score = 180/110

⇒ z-score = 1.636

Here is Claire's mother's data:

ц = 490

σ₂ = 100

X₂ = 680

⇒ z-score = (X₂-ц )/σ₂

Substitute the values,

⇒ z-score = (680 - 490)/100

⇒ z-score = 190/100

⇒ z-score = 1.9

So Claire's mother's z-score > Claire's z-score

Therefore, Claire's mother did better because her z-score was greater than that of Claires.

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Answer: Do you have the original ration so we can simplify it then??

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.64 : x = 0.04 ⇒ x = 1.64 : 0.04

1.64 : 0.04 → 164 : 4 = 41

Check:

1.64 : 41 = 0.04

1.64 divided by the number 41 equals 0.04.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

The given numbers are 1.64 and 0.04.

Let the unknown number be x.

1.64 divided by x equals 0.04, that is

1.64/x =0.04

0.04x=1.64

x=1.64/0.04

x=41

Therefore, 1.64 divided by 41 equals 0.04.

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Answer:

first what the full question and if 25*16/2=200

Step-by-step explanation:

Answer:

[tex]\huge\boxed{x=2}[/tex]

Step-by-step explanation:

[tex]-20=-4x-6x\qquad|\text{combine like terms}\\\\-20=-10x\qquad|\text{divide both sides by (-10)}\\\\\dfrac{-20}{-10}=\dfrac{-10x}{-10}\\\\2=x\to x=2[/tex]

Answer:

i think the answer be 150 feet per minute

hope this is right

Answer:

150

Step-by-step explanation:

use points on the line i'll use (2,300) and (1,150)

m=y2-y1/x2-x1

300-150=150

2-1=1

150/1=150

hope this helps :3

sorry if im wrong

Answer: y = 2x - 1

Step-by-step explanation: The form of the equation of a line is y = mx + b, where m is the slope and b is the y-intercept. Just plug in the values, and you have your answer!

Answer:

2/9

Step-by-step explanation:

You are responsible for any repairs.

Answer:

9

18

27

36

45

54

63

72

81

90

Step-by-step explanation:

I just take the last numer of the times 9 and subtract 1 and put whatever equals 9.

example 9x7=63

7-1=6+3 so 63

Sorry if it does not make sense

Answer:

44 degrees

Step-by-step explanation:

Because a right angle triangle if added all angles will=to 180 degrees

so 46+90=136

180-136=44

Answer:

44

Step-by-step explanation:

You add 46 to the 90 degree angle (right angle) and get 136. Then, because the angles of a triangle add up to 180 degrees all the time, you would do 180-136 and get 44.

a) 2x

b) 14

c) x^2 -49

d) -1

Question attached

Answer :

There is no such formular

Explanation:

there is no such Formula I'm the options given. However the total product units sold by the sales representative for the period can be calculated in the excel sheet by adding up the cells with the units sold(cells F179,F180... to F186) and inserting the formula in the cell under total units sold by sales representative. So any change of figures in the cells added would reflect in the total units cell E176, if there is an additional figure for units sold in another cell, we could add this cell to formula in E176

Answer:

800000

Step-by-step explanation: