All categories

3 years ago

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

2 answers:

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

You might be interested in

Help with my geometry question

Vaselesa [24]

For an inscribed angle like angle AHB, the measure will be half of the intercepted arc which we can see is 90 degrees.. therefore the measure of angle AHB is 45 degrees.

5 0

3 years ago

cone A has a height of 3 meters and radius of 2 meters. Cone B has the same radius, but height og 6 meters, calculate the volume

Alex73 [517]

The volume of Cone B is twice the volume of Cone A.

4 0

3 years ago

Read 2 more answers

In order to estimate the difference between the average hourly wages of employees of two branches of a department store, the fol

Julli [10]

Answer:

$0.071,1.928$

Step-by-step explanation:

Downtown Store North Mall Store

Sample size n 25 20

Sample mean $\bar{x}$ $9 $8

Sample standard deviation s $2 $1

$n_1=25\\n_2=20$

$\bar{x_1}=9\\ \bar{x_2}=8$

$s_1=2\\s_2=1$

$x_1-x_2=9-8=1$

Standard error of difference of means = $\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}$

Standard error of difference of means = $\sqrt{\frac{2^2}{25}+\frac{1^2}{20}}$

Standard error of difference of means = $0.458$

Degree of freedom = $\frac{\sqrt{(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}})^2}{\frac{(\frac{s_1^2}{n_1})^2}{n_1-1}+\frac{(\frac{s_2^2}{n_2})^2}{n_2-1}}$

Degree of freedom = $\frac{\sqrt{(\frac{2^2}{25}+\frac{1^2}{20}})^2}{\frac{(\frac{2^2}{25})^2}{25-1}+\frac{(\frac{1^2}{20})^2}{20-1}}$

Degree of freedom =36

So, z value at 95% confidence interval and 36 degree of freedom = 2.0280

Confidence interval = $(x_1-x_2)-z \times SE(x_1-x_2),(x_1-x_2)+z \times SE(x_1-x_2)$

Confidence interval = $1-(2.0280)\times 0.458,1+(2.0280)\times 0.458$

Confidence interval = $0.071,1.928$

Hence Option A is true

Confidence interval is $0.071,1.928$

4 0

2 years ago

What is the answer for (-7) - (-4)?

mina [271]

Answer:

- 3

Step-by-step explanation:

Note that - (-) = +

Given

- 7 - (- 4)

= - 7 + 4

= - 3

7 0

3 years ago

Read 2 more answers

PLEASE HELP WILL MARK BRAINLIEST THANK YOU

grin007 [14]

Answer: 200 units²

Step-by-step explanation:

The length at the bottom is 10 and all sides of the 15x15 square are all 15, therefore the bottom length is 25. This is because the shape consists of all squares, so the sides are all equal.

This means the area of the entire rectangle is 25x25=625 units².

The bottom left corner triangle is 10x10=100 units².

The bottom right corner triangle is 15x15=225 units².

The whole diagram is symmetrical due to it having squares (which are regular and all sides are equal), we can assume the square at the top right is also 10x10=100 units².

All that remains is to find the shaded region, by taking away the rest of the area of the squares from the total area.

225+100+100= 425 units²

625-425= 200 units²

4 0

2 years ago