Answer:
The 95% confidence interval for the average number of units that students in their college are enrolled in is between 11.7 and 12.5 units.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 45 - 1 = 44
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 44 degrees of freedom(y-axis) and a confidence level of . So we have T = 2
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 12.1 - 0.4 = 11.7 units
The upper end of the interval is the sample mean added to M. So it is 12.1 + 0.4 = 12.5 units
The 95% confidence interval for the average number of units that students in their college are enrolled in is between 11.7 and 12.5 units.
Answer:
Step-by-step explanation:
GIVEN: A car was sold standard washed in a day , which was of their total sales for that day.
TO FIND: Total amount of washes that the car wash sold that day.
SOLUTION:
Let the total sales of car washes sold for that day
total number of standard car washes sold
As, total standard car washes sold are of total sales in a day
putting value in equation
Hence the total number of car washes sold that day are
The set of side measurements that could be used to form a right triangle is 3, 4 and 5 option (D) is correct.
What is a right-angle triangle?
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
It is given that:
The side length of the triangle is shown in the option:
As we know,
Pythagoras' theorem is the square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
Using Pythagoras' theorem:
From option(D):
3, 4 and 5
(3)² + (4)² = 5²
9 + 16 = 25 (True)
Thus, the set of side measurements that could be used to form a right triangle is 3, 4 and 5 option (D) is correct.
Learn more about the right-angle triangle here:
brainly.com/question/3770177
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Answer:
62 1/2
Step-by-step explanation:
I won't make you wait longer sorry if I'm too late
So, there is a rectangular park with longer side (length) 150 yards and shorter side (width) 125 yards.
so walking around the rectangular park once is like covering the Perimeter (p) of the rectangular park.
So, lets find the perimeter of the park.
Perimeter of rectangle = 2 ( l + w)
= 2 ( 150 + 125 )
= 2 * 275
= 550 yards
Now, walking around the park two times is like doubling the Perimeter of the rectangle. So, when Debbie walks around the park 2 times, he covers the perimeter of the rectangular field twice.
i.e. Debbie walked 2 * Perimeter
= 2 * 550
= 1100 yards
Now, If Debbie wanted to walk 1,000,000 yards, she has to walk the rectangular park (1,000,000 / the Perimeter of the park)
i.e. 1,000,000 / 550
= 1818.18 times
So,
(a) she walks 1100 yards
(b) She have to walk 1818.18 times