Answer:
Height of building is 76 feets
Step-by-step explanation:
The scenario is illustrated in the attached photo. The stretched rope is seen coming from the top of the building, passing through the top of the tree which is halfway the height of the building and touching the state which is on the ground.
The distance, x of the tree to the building on the ground is equal to the distance, x of the tree from the stake, hence,
Distance of the stake from the building is 2x
Height of the tree = 38 feets
Height of the building = y feets
The triangles formed are similar triangles. Therefore,
38/x = y/2x
Cross multiplying
2x × 38 = x × y
xy = 76x
y = 76x/x = 76 feets
Answer:
The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
Suppose a sample of 292 tenth graders is drawn. Of the students sampled, 240 read above the eighth grade level.
So 292 - 240 = 52 read below or at eight grade level, and that 
80% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).
Answer: 10 and 3
Step-by-step explanation:
A coefficient is a number placed before a variable so its 10 and 3 in this expression.
Okay. So, what you do is subtract the negative number from the positive number. Let’s find the lowest common multiple of each number. The lowest common multiple (LCD) is 6. So we set this problem up as 2 3/6 - 1 1/6. When we subtract both numbers, you get 1 2/6. or 1 1/3 in simplest form. Now, you subtract again. Because 1 3/4 is greater than the number we are subtracting from, which is 1 1/3, the answer will be negative. The LCM of 3 and 4 is 12, so 12 will be the LCD. Let’s subtract to get our negative difference. 1 9/12 - 1 4/12 is 5/12. Plug in the negative symbol and you have -5/12. There. The answer is -5/12.
