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3 years ago

10

Picking a blue marble from a bag of 4 red marbles, 6 blue marbles, and 1 white marble

1 answer:

salantis [7]3 years ago

6 0

You have a 1:11 ratio of choosing a blue marble from a bag of 4 <span>red marbles, 6 blue marbles, and 1 white marble.</span>

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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

Perpendicular lines are lines that ___ ?

konstantin123 [22]

Answer:

Perpendicular lines are lines that intersect at a right (90 degrees) angle.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A square room has walls that are each 6 feet long. How much carpet would be needed to cover the floor of this room.

Helga [31]

36 feet of carpet cause its a square so 6x6 is 36

4 0

3 years ago

Read 2 more answers

What is the Mean Absolute Deviation:

Neko [114]

128.309728

add all numbers together and divide by 50(there are 50 numbers)

find the difference of each number and 67.92(the mean)

add all these numbers together and divide by 50

3 0

3 years ago

Use the equation below to find c, if a = 43 and b = 49. c=180-a-) ?

Luden [163]

Answer:

88

Step-by-step explanation:

43 + 49= 92.

Then 180 - 92= 88

C= 88

7 0

3 years ago