Given:
Consider the below figure attached with this question.
and
.
To find:
The measure of angle 3.
Solution:
From the below figure it is clear that, angle 3 and angle 4 are vertically opposite angles.
We know that, vertically opposite angles are always equal. So,
Now,
Therefore, the measure of angle 3 is 140 degrees.
Answer: Probability that the proportion of students who graduated is greater than 0.743 is P = 0.4755
Step-by-step explanation:
Given that,
Probability of freshmen entering public high schools in 2006 graduated with their class in 2010, p = 0.74
Random sample of freshman, n = 81
Utilizing central limit theorem,
So,
= P( Z > 0.0616)
= 0.4755 ⇒ probability that the proportion of students who graduated is greater than 0.743.
Answer:
4.75 inches.
Step-by-step explanation:
We must introduce the symbols for inches and feet.
Here we will use, x' = x feet and x" = x inches
A high school track teams long jump record is 21 feet and inches i.e. 21'2.25" this year.
Now, Tim's best long jump is 20 feet and inches i.e. 20'9.5".
So, the difference between the record jump and Tim's best jump is
(21'2.25" - 20'9.5")
= (21'2.25" - 21') + (21' - 20'9.5")
= 2.25" + 2.5" {Since, 1' = 12" i.e. 21' = 20' 12"}
= 4.75"
Therefore, Tim has to jump 4.75 inches farther to break the record. (Answer)