Question 9
The triangles shown are

Given:

The two statements.

To find:

The probability of an impossible event.

The probability of a certain event.

Solution:

Formula for probability is:

[tex]P=\dfrac{\text{Possible favorable outcomes}}{\text{Total number of outcomes}}[/tex]

For an impossible event, the possible favorable outcomes is 0. So,

[tex]P=\dfrac{0}{\text{Total number of outcomes}}[/tex]

[tex]P=0[/tex]

For a certain event (sure event), the possible favorable outcomes is equal to total number of outcomes. So,

[tex]P=\dfrac{\text{Total number of outcomes}}{\text{Total number of outcomes}}[/tex]

[tex]P=1[/tex]

Therefore, an event that is impossible has probability 0 and an event that is certain has probability 1.

Step-by-step explanation:

Answer:

y^13/12 or y^1 1/12

Step-by-step explanation:

Convert the fractions to compatible bases. In this case, you can multiply the 3/4 by 3 making it 9/12, and multiply the 1/3 by 4 making it 4/12. If you add these now compatible fractions, you get 13/12. The base remains the same, I hope this helps!

Answer:

It would be A. 4.47

Answer: B: -4 by -4 by -4

Step-by-step explanation: When a number is to be used with a negative exponent, the number is to be multiplied by however many times the number says to multiply it, and whether the exponent is positive or negative determines the numbers being multiplied, whether they should be negative or positive. (Sorry, I'm not good at wording this, I'll provide an example below.);

4^-3 means that you multiply four three times, but the exponent is also negative, so it would make each of the base numbers negative.

-4 by -4 by -4

[tex] \sqrt{74} \: units.[/tex]

Step-by-step explanation:

Let (2,3) = (x1 , y1) and (7,10) = (x2 , y2)

By using Distance formula

[tex] \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]

[tex] \sqrt{ {(7 - 2)}^{2} + {(10 - 3)}^{2} } [/tex]

[tex] \sqrt{ {5}^{2} + {7}^{2} } [/tex]

[tex] \sqrt{25 + 49} [/tex]

[tex] \sqrt{74} [/tex] units.

Answer:

Step-by-step explanation:

no of days                                                   no of men

30                                                                         20

24                                                                             20

30/24=x/20

24 x=30*20

24x=600

x=600/24

x=25

therefore  5 more men are needed to complete the work in 24 days                

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Work Shown:

cos(angle) = adjacent/hypotenuse

cos(B) = BC/AB

cos(B) = 5/13

Answer:

IM NOT SURE WHAT

Step-by-step explanation:

Answer:

109 days and 9 hours

Step-by-step explanation:

Answer:

About 110 days

Step-by-step explanation:

Round up

2,197 would round up to 200

Divide 2,200 by 20, and there is your answer

Step-by-step explanation:

5 = 5(-4)+c

5 = -20 + c

5+20= 25

25= c

so

y = 5x + 25

Answer:

m= 5

Points=(-4,5)

y-y'= m(x-x')

y-5 = 5(x-(-4)

y-5=5(x+4)

y-5=5x + 20

y - 5x -25 = 0

Or

y= 5x + 25.

Answer:

Step-by-step explanation:

Answer:

40320

Step-by-step explanation:

8! is equal to 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 , which equal 40320

Answer:

40320

Step-by-step explanation:

An exclamation point denotes a factorial, so multiply all the numbers less than or equal to  8  until you get to  1

[tex]8*7*6*5*4*3*2*1=40320[/tex]

The rates of population growth are not the same, of course, in all parts of the world. Among the industrialized countries, Japan and most of the countries of Europe are now growing relatively slowly—doubling their populations in 50 to 100 years. Another group of industrialized countries—the United States, the Soviet Union, Australia, New Zealand, Canada, and Argentina—are doubling their populations in 30 to 40 years, approximately the world average. The pre-industrial, low-income, and less-developed areas of the world, with two thirds of the world’s population—including Asia (except Japan and the Asiatic part of the Soviet Union), the southwestern Pacific islands (principally the Philippines and Indonesia), Africa (with the exception of European minorities), the Caribbean Islands, and Latin America (with the exception of Argentina and Uruguay)—are growing at rates ranging from moderate to very fast. Annual growth rates in all these areas range from one and one-half to three and one-half per cent, doubling in 20 to 40 years.

The rates of population growth of the various countries of the world are, with few exceptions, simply the differences between their birth rates and death rates. International migration is a negligible factor in rates of growth today. Thus, one can understand the varying rates of population growth of different parts of the world by understanding what underlies their respective birth and death rates

Answer:

4^-5

Step-by-step explanation:

4^-3 = 1/4^3

1/4^3 · 1/^2 = 1/4^5 which is the same as 4^-5

Answer:

6 3/8 pounds (also 6.375 pounds)

Step-by-step explanation:

2 2/3 + 1 5/6 + 1 7/8 = x

8/3 + 11/6 + 15/8 = x

(multiply each fraction by to create the denominator 24)

8/3 x 8/8 = 64/24

11/6 x 4/4 = 44/24

15/8 x 3/3 = 45/24

64/24 + 44/24 = 108/24

108/24 + 45/24 = 153/24

153/24 = 6.375 = 6 3/8

Answer:

45cm2

Step-by-step explanation:

10x7(base x height)=70

70/2=45

Answer:

D

Step-by-step explanation:

"x" represents the hours.

so 8 is the fee for the hours, rather than insurance.

6 is the insurance fee.

if the cost per hours is doubled, it'll now be 16.

the answer is "6 + 16x" (D)

Answer:

9 cm

Step-by-step explanation:

Arc length = θ/360 × 2πr

A circle has an arc with a measure of 120 degrees and a lenght of 3π cm. What is the diameter of the circle

Hence,

3π = 120/360 × 2πr

Diameter = 2r

3π = 1/3 × 2πr

Cross Multiply

9π = 2πr

2r = 9π/π

Note that :

Diameter = 2r

Hence,

Diameter = 9 cm

Answer: true

Step-by-step explanation:

Answer:

Multiplication of fractions do not require the same denominator, or the bottom number of the fraction, like addition and subtraction does. Instead, you would simply multiply the denominators and the top numerators.

Answer: It is a rectangle.

Step-by-step explanation: 2 rectangles of different sizes are being in top of each other.

Answer:

the surface area of the square is "378"

Step-by-step explanation:

2×(9×9 + 9×6 + 9×6) = 378

Answer:

Because the airline allows each suitcase to hold up to 50 pounds, and it doesn't force them to hold exactly 50 pounds

Answer:

Step-by-step explanation:

b/c she doesn't have to have exactly 50 pounds,  she can have any were from 0 to 50 pounds  in each suit case.   They are not going to charge her more, if she only brings 49 pounds :DDDD  It's the same charge up to and including 50 pounds.  If she brings 51 pounds then maybe she would get charged more :P    But not for 50 pounds or less .  :)  Make sense?

Answer:

9a) 6 1/5

b) 6 4/7

c) 1 1/0

d) 4 1/8

e) 1 1/3

f) 3 1/6

10a) 15 years old

b) 14 1/6 years old

11) 8/3 = 2 2/3

7/5 = 1 2/5

2 2/3 + 1 2/5 = 4 1/15

12a) They ate 3 11/12 pizzas

b) They ate 1 1/3 more cheese pizzas than veg

Answer:

Step-by-step explanation:

P=2l+2w

28=2l+2w

2l=2w-28

l = (2w-28)/2

l =2(w-14)/2

l = w-14

Answer:

63/50 or 1 13/50

Step-by-step explanation:

Answer:

Step-by-step explanation:

the first one

Answer:

, hope u understand and happy

Answer:

Oral traditions are things that have been passed down from generations, such as folktales, pieces of art, stories, and more

Step-by-step explanation:

Answer:

10 inches

Step-by-step explanation:

Surface Area = π R² + π R L [ L is Slant Height ]

200 π = π (10)² + π (10) L

200 π = π (100) + π (10) L

200 π - 100 π = 10 π L

100 π = 10 π L

100 π / 10 π = L

10 = L

L = 10 inches

Hope this Helps......

[tex]\huge{ \mathrm{  \underline{ Answer} \:  \:  ✓ }}[/tex]

Given terms :

Now, we know

[tex] \large\boxed{\mathrm{surface \: \: area = \: \pi r(l + r) }}[/tex]

(note : " l " represents slant height.)

Therefore, Measure of slant height (l) :

[tex] \huge \boxed{10 \: \: in \: }[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]