HELP PLS<br> BRAINLEIST<br> 10 POINTS

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

3 years ago

Can a triangle with side lengths of 8, 15, and 17 be a right triangle?

Nookie1986 [14]

Yes it is.
Glad to help!

7 0

3 years ago

Read 2 more answers

How much dollars is in 14 quarters and 5 nickels

marishachu [46]

Answer:

$4.25

Step-by-step explanation:

4 quarters is 1 dollar

1 nickel is 5 cent

14 divided by 4 = 3.5

3.5 + 5 times 5 = $4.25

8 0

3 years ago

Read 2 more answers

Does this seem answer seem correct?

Blababa [14]

I mean I think so I’m not completely sure it’s a really hard question

5 0

3 years ago

Use the calculator to find the product. (9. 1 × 109)(7. 5 × 102) What is the exponent of the power in scientific notation?.

____ [38]

The exponent of the power is 11 in scientific notation.

<h3>Given </h3>

The numbers are;

The product of (9. 1 × 10^9)(7. 5 × 10^2)

<h3>What is scientific notation?</h3>

Scientific notation is a method of expressing numbers in terms of a decimal number between 1 and 10, but not 10 itself multiplied by a power of 10.

To find the product of the given numbers follows all the steps given below.

The product of number is;

$=(9.1 \times 10^9) \times (7.5 \times 10^2)\\\\= (9.1 \times 7.5) \times (10^{(9+2)})\\\\ =68.25 \times 10^{11}$

Hence, the exponent of the power is 11 in scientific notation.

To know more about Scientific notation click the link given below.

brainly.com/question/4964086

4 0

2 years ago

HELP PLS BRAINLEIST 10 POINTS