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Whitepunk [10]
3 years ago
15

If two events are complementary, then the sum of their probabilities is

Mathematics
2 answers:
arsen [322]3 years ago
8 0
The sum of  2 complementary probabilities is equal to ONE:

Let roll a dye, the probability of getting, sat number 4==> P(getting 4) = 1/6

Ant the probability of getting(either,1 or 2 or 3 or 5 or 6) ==> P(1,2,3,5,6) =5/6

5/6 is the complement of 1/6==> P(4) + P(1,2,3,5,6)= 1/6 +5/6 =1
aliya0001 [1]3 years ago
6 0
The sum of the probabilities of complementary events are 1 or 100% if you need it in percents.
Ex. P(rain) =.70; P(not rain) = .30
.70 + .30 = 1
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PLEASE HELP ME WITH BOTH OF THESE PROBLEMS THIS IS DUE SOON PLEASE HELP ME
iogann1982 [59]

Answer:

Step-by-step explanation:

4.

a)

P = 2width + 2length

8x = 2x + 2 length; 8x-2x = 2 length; 6x=2 length

length = 3x

b)

sides= 1/4 of 3x = 3x/4

perimeter of square = 4* side = 4*3x/4 = 3x

c)

x= 4

P rectangle =8x= 8*4= 32

P square = 3x = 3*4 = 12

32-12 = 20 cm greater is the P rectangle than P of square

d)

A rectangle = 2x*x = 2*4*4 = 32

A square =(3x/4)² = (3*4/4)² = 9

32-9 = 23 cm² greater is the A rectangle than A of square

5.

4Comic+1 Nonfiction

4comic = 8y so 1 comic = 2y

1 nonfiction = (3+7y)+ 2y

a)

1 nonfiction = 7y+2y+3 = 9y+3

b)

total= 8y+9y+3 = 17y+3

if y=4

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7 0
4 years ago
Read 2 more answers
Five more than the product of two and a number,
never [62]

Answer:

It was difficult reading the question, as written.  Check my assumptions.

Step-by-step explanation:

"five more than the product of two and a number,

decreased by seven"

---

Let the "number" be a.

We are told "five more than . ." means +5,

"the product of two and a number" means 2a,

"decreased by seven" mean -7

Put the statements together to obtain:

+5+2a-7

Simplify to 2a-2

Evaluate when a = 8:

2a-2

2(8)-2

16-2

= 14

7 0
2 years ago
Select all the correct answers. If the measure of angle 0 is 5(pi)/4, which statements are true?
elixir [45]

Finding the equivalent angle of \theta, the correct statements are given as follows:

  • The Measure of the reference angle is 45.
  • \cos{\theta} = \frac{\sqrt{2}{2}}.
  • \tan{\theta} = 1
  • \sin{\theta} = \frac{\sqrt{2}{2}}.

<h3>What are equivalent angles?</h3>

Each angle on the second, third and fourth quadrants will have an equivalent on the first quadrant.

In this problem, the given angle is as follows:

\theta = \frac{5\pi}{4}

It is on the third quadrant, as it is between pi and 1.5 pi, hence the equivalent on the first quadrant, also known as the reference angle, is given by:

\frac{5\pi}{4} - \pi = \frac{5\pi}{4} - \frac{4\pi}{4} = \frac{\pi}{4}

The angle of 45º has equal sine and cosine, and tangent of 1, hence the correct statements are:

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  • \cos{\theta} = \frac{\sqrt{2}{2}}.
  • \tan{\theta} = 1
  • \sin{\theta} = \frac{\sqrt{2}{2}}.

More can be learned about equivalent angles at brainly.com/question/24787111

#SPJ1

8 0
2 years ago
What is 63/80 as a percent?
Romashka [77]
63/80 x 100 = 78.8%

You divide normally but multiply by 100 (moving the decimal over two places).
6 0
3 years ago
Read 2 more answers
a pet store buys bags of dog food for 30.00 dollars per bag and sells them for 54.00 dollars per bag. What is the percent markup
Alenkinab [10]

Answer:

80%

Step-by-step explanation:

(54-30)/30 *100 = 80%

7 0
4 years ago
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