Lisa had a starting balance in her checking account of $956.02. She

All the fourth-graders in a certain elementary school took a standardized test. A total of 85% of the students were found to be

Aneli [31]

Answer:

There is a 2% probability that the student is proficient in neither reading nor mathematics.

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 a student is proficient in reading

B is the probability that a student is proficient in mathematics.

C is the probability that a student is proficient in neither reading nor mathematics.

We have that:

$A = a + (A \cap B)$

In which a is the probability that a student is proficient in reading but not mathematics and $A \cap B$ is the probability that a student is proficient in both reading and mathematics.

By the same logic, we have that:

$B = b + (A \cap B)$

Either a student in proficient in at least one of reading or mathematics, or a student is proficient in neither of those. The sum of the probabilities of these events is decimal 1. So

$(A \cup B) + C = 1$

In which

$(A \cup B) = a + b + (A \cap B)$

65% were found to be proficient in both reading and mathematics.

This means that $A \cap B = 0.65$

78% were found to be proficient in mathematics

This means that $B = 0.78$

$B = b + (A \cap B)$

$0.78 = b + 0.65$

$b = 0.13$

85% of the students were found to be proficient in reading

This means that $A = 0.85$

$A = a + (A \cap B)$

$0.85 = a + 0.65$

$a = 0.20$

Proficient in at least one:

$(A \cup B) = a + b + (A \cap B) = 0.20 + 0.13 + 0.65 = 0.98$

What is the probability that the student is proficient in neither reading nor mathematics?

$(A \cup B) + C = 1$

$C = 1 - (A \cup B) = 1 - 0.98 = 0.02$

There is a 2% probability that the student is proficient in neither reading nor mathematics.

6 0

2 years ago

What is 2/5 divided by -1/2 minus 3/2

shutvik [7]

Answer:

$- \frac{23}{10}$

Step-by-step explanation:

$\frac{2}{5} \div \frac{ - 1}{2} - \frac{3}{2}$

➡️ $- \frac{2}{5} \times 2 - \frac{3}{2}$

➡️ $- \frac{4}{5} - \frac{3}{2}$

➡️ $- \frac{23}{10}$

5 0

2 years ago

Read 2 more answers

Hcf of 14 154 and 28

anyanavicka [17]

Answer:

14

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Q#2 Graph the relation in the table.Then use the vertical-line test.Is the relation a function

tresset_1 [31]

The graph of the relation between x and y is as shown in attached figure

By applying the vertical line test we find that the relation is not a function because there are two points which are (1,-1) , (1,3) have the same value of x with different values of y which contradicts with with the rule of function.

5 0

2 years ago

Read 2 more answers

Write an algebraic expression from the following

gavmur [86]

A: (x^2) + 2x

B: (3x)/(4+x)

C: (5-x) × 3x

4 0

2 years ago