1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Diano4ka-milaya [45]
2 years ago
5

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

proficient in reading, 78% were found to be proficient in mathematics, and 65% were found to be proficient in both reading and mathematics. A student is chosen at random.
What is the probability that the student is proficient in neither reading nor mathematics?
Mathematics
1 answer:
Aneli [31]2 years ago
6 0

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.

You might be interested in
Carlos and Lily want to know the combined amount of money they made last week. They both made $12 per hour, but Carlos also made
steposvetlana [31]

Answer:

  • Lily is right

Step-by-step explanation:

<u>Carlos made:</u>

  • 12C + 35

<u>Lily made:</u>

  • 12L

<u>Together they made:</u>

  • 12C + 35 + 12L = 12(C + L) + 35

Lily is right. We don't know what 120 means in Carlos's equation, he should put 12L for Lily.

6 0
2 years ago
Which describes the graph of mc014-1.jpg on [0, 3)? The steps are at –2 from 0 to 1, at –1 from 1 to 2, and at 0 from 2 to 3. Th
Strike441 [17]
1) The graph consists of three horizontal segments, with discontinuities (jumps) at x = 1, x = 2, and x = 3. 
A horizontal segment at y = - 2 for the values x = 0 to 1.
A horizontal segment at y = - 1 for values x = 1 to 2
A horizontal segment at y = 0 for values x - 2 to 3.


2) To know whether the end points of a segment are defined by the left or the right values you have to look for the circle at the extreme of the segment: if it is a solid dot, means that the end is included, if is is an open circle (white inside) then the end is not included in that segment.

3)  That function is based on the function named integer part because if relates y with the integer part of x.

The integer value function is [x] and it makes correspond y values witht he integer values of x.:

y = 0 witht the integer value of x for x between 0 and 1, excluding 1.

y = 1 with the integer value of x between 1 and 2 (excluding 2)

y = 2 with the integer value of x between 2 and 3 (excluding 3)
y = 3 with the integer value of x between 3 and 4 (excluding 4)

But our function is two units below, so it is [x] - 2
8 0
2 years ago
Read 2 more answers
Determine the volume of the parallelepiped with one vertex at the origin and the three vertices adjacent to it at (2, â1, â1), (
valentinak56 [21]

Answer:

23

Step-by-step explanation:

Here is the complete question

Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at (1, 0, -3), (1, 2, 4), and (5, 1, 0).

Solution

We find the volume of the parallelepiped by making a 3 × 3 column matrix whose columns are the corresponding coordinates of the vertices of the parallelepiped.

So, (1, 0, -3), (1, 2, 4)  and (5, 1, 0)

A = \left[\begin{array}{ccc}1&1&5\\0&2&1\\-3&4&0\end{array}\right]

The determinant of A is the volume of the parallelepiped. So,

detA = 1(2 × 0 - 4 × 1) - 1(0 × 0 - (-3) × 1) + 5(0 × 4 - (-3) × 2)

= 1(0 - 4) - 1(0 + 3) + 5(0 + 6)

= 1(-4) - 1(3) + 5(6)

= -4 - 3 + 30

= 23

So the volume of the parallelepiped is 23

4 0
2 years ago
What is 6,4 rounded to the nearest whole number
Aleks04 [339]
6.4 rounded to the nearest whole number will be 6.

if the decimal was 5 or larger, it would’ve been 7.
6 0
2 years ago
Elliot wants to compare the density of four objects to the density of water. Elliot knows that if an object sinks in water, it h
matrenka [14]

Answer: A would be the best answer

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • The table below shows the process of solving using successive approximations. Continue this process to find the positive solutio
    6·2 answers
  • Using the quadratic formula to solve x2 = 5 – x, what are the values of x? StartFraction negative 1 plus-or-minus StartRoot 21 E
    8·2 answers
  • What does it mean by find the slope of each line
    5·1 answer
  • Find the value of x in the<br> following parallelogram:
    9·1 answer
  • BÉ is an angle bisector of ZABC.
    11·1 answer
  • Find g(x) if it is known that g(2t)=8t−1.
    14·1 answer
  • Please help I'll mark you as brainiest
    7·1 answer
  • The number -8 lies to the right of ___________ on the number line.<br> 8<br> 0<br> -6<br> -12
    15·1 answer
  • Which description best fits the graph?
    11·1 answer
  • PLEASEEE HELPPP!!! what is the value of x?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!