Ask question

Ask question

All categories

3 years ago

9

Edugence

1 answer:

mixer [17]3 years ago

7 0

243748483929284ueudhdjd

You might be interested in

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

Find the slope of the line passing through the pair of points or state that the slope is undefined. Then indicate whether the li

SVEN [57.7K]

M= y2 - y1/ x2 - x1
m= 9-9/-2-2
m= 0/-4
m= 0

The slope is 0

8 0

3 years ago

Read 2 more answers

A.Write a polynomial to find the volume of the

Arturiano [62]

Answer:

hmmm 38

Step-by-step explanation:

?

3 0

3 years ago

What is f–1(8)??<br><br> Please select the best answer

notka56 [123]

Answer:

$f^{-1}(8)=\frac{3}{2}$

Step-by-step explanation:

Given f(x)= $2x+5$

We have to find $f^{-1}(8)$

In order to find $f^{-1}(x)$ we have to make x as the subject of the formula

Let us assume f(x)=y

⇒ $2x+5=y$

Subtracting both sides by 5

$2x+5-5=y-5$

$2x=y-5$

Dividing both sides by 2

$\frac{2x}{2}=\frac{y-5}{2}$

⇒ $x=\frac{y-5}{2}$

Now substituting y with x

we have $f^{-1}(x)=\frac{x-5}{2}$

Now $f^{-1}(8)=\frac{8-5}{2}$

= $\frac{3}{2}$

So option (ii) is correct

5 0

3 years ago

Read 2 more answers

Complete the table for the given rule

irinina [24]

Answer:

see explanation :)

Step-by-step explanation:

y = − x − 4

is in the slope-intercept form for a linear equation,

y = m x + b , where m is the slope and b is the y-intercept. In the given equation,

m = − 1 and b = − 4 .

Ordered Pairs

x ... ... . . y

4 ... . − 8

2 ... . − 6

0 ... . − 4

− 2 . ...− 2

− 4 ... . . 0

7 0

3 years ago

Read 2 more answers