Timpony school district surveyed a random sample of 6060 middle school students about the amount of time they watch tv. of the students surveyed, 1414 average watching more than 44 hours of tv each day. there are 11431143 middle school students in the timpony school district. based on the data, what is the most reasonable estimate for the number of timpony school district middle school students who average watching more than 44 hours of tv each day?

267 students.

Step-by-step explanation:

Let x be the total number of students who average watching more than 4 hours of TV each day.

We have been given that Timpony School District surveyed a random sample of 60 middle school students about the amount of time they watch TV. Of the students surveyed, 14 average watching more than 4 hours of TV each day.  

So the probability of a student watching more than 4 hours of TV each day will be

To find the estimated number of students, who watch the TV more than 4 hours each day, we will use relative probability as it is the ratio of the occurrence of a singular event and the total number of outcomes.

So we can set a proportion as:

Upon dividing both sides of our equation by 1143 we will get,

Therefore, approximately 267 students of Timpony School District middle school average watching more than 4 hours of TV each day.

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

your answer is -9

step-by-step explanation: