1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
notka56 [123]
2 years ago
14

What kind of reasoning was used in part (d)? Explain.

Mathematics
1 answer:
Lorico [155]2 years ago
6 0
There is no picture for us to answer
You might be interested in
A track star runs two races on a certain day. The probability thathe wins the first race is 0.7, the probability that he wins th
NARA [144]

Answer:

a) 80% probability that he wins at least one race.

b) 30% probability that he wins exactly one race.

c) 20% probability that he wins neither race.

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that he wins the first race.

B is the probability that he wins the second race.

C is the probability that he does not win any of these races.

We have that:

A = a + (A \cap B)

In which a is the probability that he wins the first race but not the second and A \cap B is the probability that he wins both these races.

By the same logic, we have that:

B = b + (A \cap B)

The probability that he wins both races is 0.5.

This means that A \cap B = 0.5

The probability that he wins the second race is 0.6

This means that B = 0.6

B = b + (A \cap B)

0.6 = b + 0.5

b = 0.1

The probability that he wins the first race is 0.7.

This means that A = 0.6

A = a + (A \cap B)

0.7 = a + 0.5

a = 0.2

A) he wins at least one race.

This is

P = a + b + (A \cap B) = 0.2 + 0.1 + 0.5 = 0.8

There is an 80% probability that he wins at least one race.

B) he wins exactly one race.

This is

P = a + b = 0.2 + 0.1 = 0.3

There is a 30% probability that he wins exactly one race.

C) he wins neither race

Either he wins at least one race, or he wins neither. The sum of these probabilities is 100%.

From a), we have that there is an 80% probability that he wins at least one race.

So there is a 100-80 = 20% probability that he wins neither race.

6 0
3 years ago
An animal shelter has 24 puppies. If the puppies are 32% of the total dog and cat population, how many dogs and cats are in the
34kurt

population *32% = 24

population *.32 = 24

population = 24/.32

population = 75

4 0
2 years ago
Find the slope intercept form of a linear equation that passes through the points:
Fed [463]

Answer:

y = 2x + 7

Step-by-step explanation:

Find the slope with y2-y1/x2-x1, which is 2

Find y intercept, which is 7

3 0
3 years ago
PLEASE ANSWERRRRRRRRRR
Jet001 [13]

Step-by-step explanation:

D. Both charges must be different.

Because, like charges repel each other and different charges attract each other.

5 0
3 years ago
Read 2 more answers
Simplify write in scientific notation 0.5(8x10^5)
Oksi-84 [34.3K]
10 to the 5th power means 5 times zero, place 8 before that and it will be 800000 then multiply with 0.5 it will be 400000. In scientific notation it will be like 4x10 the 5th power.
7 0
3 years ago
Read 2 more answers
Other questions:
  • Covert 47 degrees Fahrenheit to celsius
    6·1 answer
  • How to find area of a shape
    8·1 answer
  • 4(-6)+y=10<br> can someone hellp
    13·2 answers
  • -6+3k-8k+2 simplify the expressions
    11·1 answer
  • Please answer quick I have a lot of work to do :C
    7·1 answer
  • What are the steps to solve 650÷2/3
    11·2 answers
  • Could someone explain why (-4)² is equal to 16 but -4² is equal to -16​
    6·2 answers
  • What is the closest whole number?
    11·1 answer
  • Calculate the finance charge and new balance using the previous balance method.
    10·1 answer
  • Tell whether the ordered pair (1,1) is a solution of the system of inequalities.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!