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3 years ago

12

A group of students at a high school took a standardized test. The number of students who passed or failed the exam is broken do

wn by gender in the following table. Determine whether gender and passing the test are independent by filling out the blanks in the sentence below, rounding all probabilities to the nearest thousandth.
Passed Failed
Male 58 14
Female 98 11
Since P(male)xP(fail) = ___and P(male and fail)= ,___ the two results are_______ - so the events are________

1 answer:

Anuta_ua [19.1K]3 years ago

5 0

Answer:

Since P(male)xP(fail) = 0.0549 and and P(male and fail) = 0.0773, the two results are different, so the events are not independent.

Step-by-step explanation:

Independent events:

Two events, A and B are independent, if:

$P(A \cap B) = P(A)P(B)$

Probability of male:

58 + 14 = 72 males out of 58 + 14 + 98 + 11 = 181

So

P(male) = 72/181 = 0.3978

Probability of failling:

14 + 11 = 25 students fail out of 181. So

P(fail) = 28/181 = 0.1381

Multiplitication of male and failling:

0.3978*0.1381 = 0.0549

Probability of being male and failing:

14 out of 181. So

14/181 = 0.0773

Different probabilities, so not independent.

Since P(male)xP(fail) = 0.0549 and and P(male and fail) = 0.0773, the two results are different, so the events are not independent.

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GarryVolchara [31]

Answer: x=sqrt10-2, x=-sqrt10-2

Step-by-step explanation: square root both sides of the equation.

x+2=sqrt10,-sqrt10

subtract 2 from both sides of the equation

x=sqrt10-2, -sqrt10-2

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3 years ago

Between 2005 and 2008, the average rate of inflation was about3.4 per year. If a cart of groceries cost $140 in 2005, what did i

Elan Coil [88]

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3 years ago

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3 years ago

In 2010, the population of Kingsford was 8000. By 2014 the population had increased by 15% and 2/5 of the population was age 12

Anastasy [175]

<h2>Hello!</h2>

The answer is: The population age 12 or under was 3680.

<h2>Why?</h2>

If in 2010 the population of Kignsford was 8000, and by 2014 the population had increased by 15% we need to calculate the total population and then, calculate how many people was age 12 or under.

We must remember that we cannot work with percentage values, so, to make 15% a real number, we need to divide it by 100:

$15(Percentage)=\frac{15}{100}=0.15$

So,

Calculating the population by 2014, we have:

$Population_{2014}=Population_{2010}+ Population_{2010}*0.15$

Then, substituting we have:

$Population_{2014}=8000+ 8000*0.15=9200$

Now, calculating the population that was age 12 or under, knowing that it was 2/5 of the total population, we have:

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So, the population age 12 or under was 3680.

Have a nice day!

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3 years ago

An angle measures 67.2° less than the measure of a supplementary angle. What is the measure of each angle?

arlik [135]

Two supplementary angles always adds up to 180 degrees. If an angle is 67.2 degrees less than the measure of a supplementary angle, an equation can be formed where "A" represents the larger angle, and (A - 67.2) represents the smaller angle.

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(Combine the A's)

2A - 67.2=180

(Add 67.2 to both sides)

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A = 123.6

123.6 degrees is the larger angle.

The smaller angle is represented by (A - 67.2). We now know the value of A so lets plug it in. (123.6 - 67.2) = 56.4. 56.4 is the value of the smaller angle.

We can double check to make sure we got the right answer.

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3 years ago