Factorise: a) 22y -33z b) ax + bx –ay

In a large school, it was found that 77% of students are taking a math class, 74% of student are taking an English class, and 70

Iteru [2.4K]

Answer:

0.81 = 81% probability that a randomly selected student is taking a math class or an English class.

0.19 = 19% probability that a randomly selected student is taking neither a math class nor an English class

Step-by-step explanation:

We solve this question working with the probabilities as Venn sets.

I am going to say that:

Event A: Taking a math class.

Event B: Taking an English class.

77% of students are taking a math class

This means that $P(A) = 0.77$

74% of student are taking an English class

This means that $P(B) = 0.74$

70% of students are taking both

This means that $P(A \cap B) = 0.7$

Find the probability that a randomly selected student is taking a math class or an English class.

This is $P(A \cup B)$ , which is given by:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

So

$P(A \cup B) = 0.77 + 0.74 - 0.7 = 0.81$

0.81 = 81% probability that a randomly selected student is taking a math class or an English class.

Find the probability that a randomly selected student is taking neither a math class nor an English class.

This is

$1 - P(A \cup B) = 1 - 0.81 = 0.19$

0.19 = 19% probability that a randomly selected student is taking neither a math class nor an English class

6 0

3 years ago

How does slope relate to the equation for a proportional relationship?

Sindrei [870]

The steepness of the slope for directly proportional relationships increases as the value of the constant m (y = mx) increases. In our two speed examples, the change in steepness of slope represents the change in speed or the change in the unit rate.

8 0

3 years ago

How do I find the exact area of a circle with a diameter

kirill115 [55]

Answer:

Divide the diameter by 2 and insert for radius in the equation

Step-by-step explanation:

To find the area of a circle, we can use the equation A=pir^2 or area=pi*radius squared.

The radius is half of the diameter, so just divide the diameter by 2 and plug it into the equation.

Hope this helps!

4 0

3 years ago

Read 2 more answers

Help with these 4 questions

Vika [28.1K]

a. $S_1 = \{1,2,3,4,5,6\}$

b. $S_2=\{A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z\}$

c. $S_3 = \{HH, HT, TH, TT\}$

d. $S_4 =\{1T,2T,3T,4T,5T,6T,1H,2H,3H,4H,5H,6H\}$

Step-by-step explanation:

We will write the sample space of all options one by one.

a. Rolling a 6 sided die

As the die has six sides numbered from 1 to six then the sample space will be:

$S_1 = \{1,2,3,4,5,6\}$

b. Guessing the first initial of a student's name:

As the English language has 26 alphabets, the first initial can be any alphabet so the sample space will be all letters:

$S_2=\{A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z\}$

c. Tossing two coins

As two coins are tossed, the outcomes will be a combination of two outcomes

$S_3 = \{HH, HT, TH, TT\}$

d. Rolling a 6 sided die and tossing a coin

As the die is rolled and then a coin is tossed. The die's coin will either combine with heads or tails

So,

$S_4 =\{1T,2T,3T,4T,5T,6T,1H,2H,3H,4H,5H,6H\}$

Hence,

a. $S_1 = \{1,2,3,4,5,6\}$

b. $S_2=\{A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z\}$

c. $S_3 = \{HH, HT, TH, TT\}$

d. $S_4 =\{1T,2T,3T,4T,5T,6T,1H,2H,3H,4H,5H,6H\}$

Keywords: Sample Space, Probability

Learn more about sample space at:

#LearnwithBrainly

7 0

3 years ago

Evaluate the diversity of this portfolio. Explain, using complete sentences, if this portfolio is not diverse, minimally diverse

irina [24]

This investment seems very diverse. It is divided into 5 different categories with no more than 25% in any one category.

It is a very conservative approach. 95% of the investments are in very stable account. Only 5% is devoted to a developing firm.

This investment plan would be for an investor who is very fearful of losing money. They would most likely be close to retirement age, in a situation where they just want to maintain the value of their account.

8 0

3 years ago

Factorise: a) 22y -33z b) ax + bx –ay – by