ST=X+3 and TU= 4x-6 <br>what is the value of ST? <br>

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

The number of people who use the ATM at night outside your local bank branch can be modeled as a Poisson distribution. On averag

Marina86 [1]

Answer:

0.6988

Step-by-step explanation:

Given that the number of people who use the ATM at night outside your local bank branch can be modeled as a Poisson distribution.

Let X be the number of customers arriving between 10 and 11 am.

X is Poisson with mean= 1.2

Required probability

= the probability that in the hour between 10 and 11 PM at least one customer arrives

= P(X≥1)

=1-P(X=0)

=1-0.3012

= 0.6988

6 0

3 years ago

The triangles below are similar. Triangle Y X Z. Side Y X is 6 centimeters, X Z is 7 centimeters, and Z Y is 3 centimeters. Tria

kotykmax [81]

Answer:

I would go with c.

Step-by-step explanation:

Hope this helped!

7 0

2 years ago

Read 2 more answers

Which values satisfy the inequality? |x| < 3 Choose all answers that are correct. A. x = –6 B. x = –5 C. x = –1 D. x = 2

ahrayia [7]

Lets plug in the answer choices and see which one works

A. x = -6

| -6 | < 3
6 < 3

False, so A is not the answer

B. x = -5

| -5 | < 3
5 < 3

False, so B isn't the answer

C. x = -1

| -1 | < 3
1 < 3

True, so C is the answer.

But lets just check D to make sure C is the answer.

D. x = 2

| 2 | < 3
2 < 3

False, so D isn't the answer either.

C is your answer :)

4 0

3 years ago

F(x) = -1/2x^2 + 3/2x - 2 I need to find the zeros

Pachacha [2.7K]

Answer:

{-1, 4}

Step-by-step explanation:

In the given f(x) = -1/2x^2 + 3/2x - 2

set f(x) = 0 and then multiply all the numeric terms by -2 to remove the fractions:

f(x) = -1/2x^2 + 3/2x - 2 = 0 => 1x^2 - 3x - 4 = 0

This factors into (x - 4)(x + 1) = 0, whose roots are {-1, 4}. These are the zeros.

4 0

3 years ago

ST=X+3 and TU= 4x-6 what is the value of ST? ​

ST=X+3 and TU= 4x-6 what is the value of ST?