P(Jack or Queen or 2)

A cube has a volume of 64cm cubed. What is the area of one face of the cube?

goldfiish [28.3K]

Answer:

96 cm squared

Step-by-step explanation:

5 0

2 years ago

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

6

ELEN [110]

Answer:

swap the middle two steps to put them in order

Step-by-step explanation:

The steps in order would be ...

-11 -5z = 30z +24 . . . . . eliminate parentheses
-11 = 35z +24 . . . . . . . . add 5z
-35 = 35z . . . . . . . . . . . . subtract 24
-1 = z . . . . . . . . . . . . . . . . divide by 2

6 0

3 years ago

12 and 1/2 + 1 and 5/8

ki77a [65]

Answer: 14 1/8

Step-by-step explanation: To add mixed numbers, first add the fractions. In this case, we have two fractions $\frac{1}{2}$ and $\frac{5}{8}$ and these fractions have unlike denominators. We need to find a common denominator for both of these fractions to be able to add.