685 students X 0.80 = 548 students going on the field trip.
Answer:
a) For the 90% confidence interval the value of
and
, with that value we can find the quantile required for the interval in the t distribution with df =3. And we can use the folloiwng excel code: "=T.INV(0.05,3)" and we got:
b) For the 99% confidence interval the value of
and
, with that value we can find the quantile required for the interval in the t distribution with df =106. And we can use the folloiwng excel code: "=T.INV(0.005,106)" and we got:
Step-by-step explanation:
Previous concepts
The t distribution (Student’s t-distribution) is a "probability distribution that is used to estimate population parameters when the sample size is small (n<30) or when the population variance is unknown".
The shape of the t distribution is determined by its degrees of freedom and when the degrees of freedom increase the t distirbution becomes a normal distribution approximately.
The degrees of freedom represent "the number of independent observations in a set of data. For example if we estimate a mean score from a single sample, the number of independent observations would be equal to the sample size minus one."
Solution to the problem
Part a
For the 90% confidence interval the value of
and
, with that value we can find the quantile required for the interval in the t distribution with df =3. And we can use the folloiwng excel code: "=T.INV(0.05,3)" and we got:
Part b
For the 99% confidence interval the value of
and
, with that value we can find the quantile required for the interval in the t distribution with df =106. And we can use the folloiwng excel code: "=T.INV(0.005,106)" and we got:
Answer: The answer is (n = 5r + 10).
Step-by-step explanation: Given that in a theatre, there are 15 seats in the first row, 20 seats in the second row, 25 seats in the third row, etc.
We are to write the linear equation that represents the number of seats 'n' in each row 'r'.
Now,
Number of seats in the 1st row = 15 = 5 × 3 = 5 × (1+2),
number of seats in the 2nd row = 20 = 5 × 4 = 5 × (2+2),
number of seats in the 3rd row = 25 = 5 × 5 = 5 × (3+2), etc...
Therefore, number of seats 'n' in the r-th row is given by the following linear equation -
n = 5 × (r+2), i.e., n = 5r + 10.
Thus, the required linear equation is n = 5r + 10.
The required equation of line B is 2y+5x=-2
The equation of a line in point-slope form is expressed as:
y-y0 = m(x-x0)
m is the slope of the line
(x0, y0) is the point on the line
Given the line A expressed as:
2x = 5y – 25
Rewrite in standard form
5y = 2x + 25
y = 2/5 x + 5
The slope will be 2/5
The slope of the perpendicular line will be;

Substitute the point (-6, 14) and slope -5/2 into the equation above to get the required equation of line B

Hence the required equation of line B is 2y+5x=-2
Learn more here: brainly.com/question/13140886
1) To write 0.259 as a fraction let's firstly rewrite as

2) Count the digits the dot has gone to the left. Each digit to the left means divided by ten. Like this:
3) Since it starts with a zero then it can't be a Mixed number. So it is an improper fraction. No further simplification could be done.