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slavikrds [6]
3 years ago
8

A two-way frequency table shows grades for students in college and students in high school: High school College Total GPA above

3.0 14 26 40 GPA below 3.0 46 14 60 60 40 100 Based on this data, are "being in high school" and "GPA above 3.0" independent events?
Mathematics
1 answer:
Aleksandr [31]3 years ago
7 0

Answer:

No, the two events "being in high school" and "GPA above 3.0" are not independent.

Step-by-step explanation:

If two events A,B are independent P(A|B)=P(A)

P(high school | above 3.0) = \frac{14}{40}=0.35

P(high school) = \frac{60}{100}=0.6                                                                                                

So,0.35 ≠ 0.6

Since P(high school | above 3.0) ≠ P(high school), the events "being in high school" and "GPA above 3.0" are not independent.

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24,12,6,...<br>find the 8th term.<br>​
weeeeeb [17]

Answer:

a = 24

r = 1/2

<h3>8th term = ar^(n-1)</h3><h3> = 24. (1/2)^-1/2</h3>
8 0
3 years ago
hail 0.5 inch deep and weighing 1800 pounds covers a roof. the hails weight varies directly with its depth. write an equation th
frozen [14]

In a directly proportional relationship, increasing one variable will increase another. The weight of the roof whose depth is 1.75 inches is 6,300 pounds.

<h3>What is the directly proportional relationship?</h3>

In a directly proportional relationship, increasing one variable will increase another. This directly proportional relationship between p and q is written as p∝q where that middle sign is the sign of proportionality.

Let there are two variables p and q. Then, p and q are said to be directly proportional to each other if p = kq, where k is some constant number called the constant of proportionality.

Given the hail's weight varies directly with its depth. Therefore, the relation can be written as,

Weight ∝ Depth

W∝D

Introducing the constant to remove the proportionality we will get the equation as,

W = kD

1800pounds = k × 0.5 inches

3600ponds/inches = k

Now, the weight of the roof whose depth is 1.75 inches can be written as,

W = kD

W = 3600 × 1.75

W = 6,300 pounds

Hence, the weight of the roof whose depth is 1.75 inches is 6,300 pounds.

Learn more about directly proportional relationship:

brainly.com/question/13082482

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8 0
2 years ago
What is the first step you would take to solve the equation 1 1/2 + 2 1/3 = ?
sineoko [7]

The first step to solve the equation 1 1/2 + 2 1/3 = ? is (a) First, you should convert the mixed numbers to improper fractions.

<h3>How to determine the first step?</h3>

The equation is given as:

1 1/2 + 2 1/3 = ?

The terms in the equation are mixed numbers.

So, the first stem is to convert the mixed numbers to improper fractions

Hence, the true statement is (a) First, you should convert the mixed numbers to improper fractions.

Read more about fractions at:

brainly.com/question/1622425

7 0
2 years ago
A factory received an order for 1,758 laptops. For the first 6 days, it produced 125 laptops per day. If it was asked to finish
BartSMP [9]

Answer:

  • 252 laptops

Step-by-step explanation:

Target number is 1758

<u>Produced in 6  days:</u>

  • 6*125 = 750

<u>Remaining to produce:</u>

  • 1758 - 750= 1008

Days left- 4

<u>Should produce per day:</u>

  • 1008/4 = 252 laptops
8 0
3 years ago
What is the Greatest Common Factor of the two monomials?<br> 15a²b, 35ab2
m_a_m_a [10]

Answer:

5ab

Step-by-step explanation:

To find the greatest common factor (GCF), you will need to find the largest value that both of these monomials can be divided by. There are three different parts to these monomials: the number value, variable a, and variable b.

Find the largest number of each element that can be divided by both.

Numbers: the GCF of 15 and 35 is 5 (15/5 = 3, 35/5 = 7, 3 and 7 are prime numbers and therefore, cannot be divided further)

Variable a: the GCF of a² and a is a

Variable b: the GCF of b and b² is b

Therefore, the GCF is 5ab.

8 0
3 years ago
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