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2 years ago

15

Given the following table, determine the matching representations.

1 answer:

Anton [14]2 years ago

8 0

The 3rd answer choice (y = x - 2). The y-intercept based on the table is at -2 (0,2), and the slope is y/x which in this case is -1/-1 = 1. The equation y = x - 2 follows the form of y = mx + b where “b” is the y-intercept and “m” is the slope. Since the slope is “1”, m = “1”, leaving the equation to have “x” by itself without a true coefficient. To add on, the y-intercept is -2, letting b = -2. Hence, the third option is correct.

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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

2 years ago

5/6 of ______= 35 brainly

antiseptic1488 [7]

Answer: 42

Step-by-step explanation: 35 divided by 5=7 so 35+7=42

7 0

3 years ago

for what value of k, the line joining 3x-ky+7=0 is perpendicular to the line joining (4 ,3) and ( 5, -3).

Schach [20]

Answer:

k = 18

=========

<h2>Given</h2>

<h3>Line 1</h3>

3x - ky + 7 = 0

<h3>Line 2</h3>

Passing through the points (4, 3) and (5, - 3)

<h2>To find</h2>

The value of k, if the lines are perpendicular

<h2>Solution</h2>

We know the perpendicular lines have opposite reciprocal slopes, that is the product of their slopes is - 1.

Find the slope of line 1 by converting the equation into slope-intercept from standard form:

<u><em>Info:</em></u>

<em>standard form is ⇒ ax + by + c = 0, </em>
<em>slope - intercept form is ⇒ y = mx + b, where m is the slope</em>

3x - ky + 7 = 0
ky = 3x + 7
y = (3/k)x + 7/k

Its slope is 3/k.

Find the slope of line 2, using the slope formula:

m = (y₂ - y₁)/(x₂ - x₁) = (-3 - 3)/(5 - 4) = - 6/1 = - 6

We have both the slopes now. Find their product:

(3/k)*(- 6) = - 1
- 18/k = - 1
k = 18

So when k is 18, the lines are perpendicular.

4 0

1 year ago

Simplify the expression. -2(x + 5) - x + 4

wlad13 [49]

Answer:

−3 x −6

Step-by-step explanation:

7 0

3 years ago

I need a formula for this problem. Three workers each take home two packs Post-It Notes, at a cost of $.67 per pack

ludmilkaskok [199]

3[2(.67x)] I think and I hope I'm right

4 0

3 years ago

Read 2 more answers