Answer:
Their will be enough water for each student to consume 2 cups of water.
Step-by-step explanation:
Grade 3, 4 and 5 have their annual field day together . Each grade level is given 16 gallons of water. This means the three grades have 16 × 3 = 48 gallons of water.
The total students involved is 350 student. The total student is the sum of the student in all three grades.
Since the water will be distributed to the students in cups let us convert gallons to cups.
1 gallons = 16 cups
48 gallons = ? cups
cross multiply
48 × 16 = 768 cups.
768 cups of water is available to be shared among the 350 students.
1 student is entitled to 2 cups of water.
350 students will consume 350 × 2 = 700 cups of water.
Therefore, their will be enough water for each student to consume 2 cups of water.
The first thing we must do for this case is to find the equation of the line.

We have then:

We choose an ordered pair:

Substituting values:
From here we conclude:
Intersection with y:
We evaluate x = 0 in the function:
Slope of the line:
Point (-2, -5):
We evaluate the value of x = -2 and the value of y = -5

The equation is satisfied.
Point (8, 0):
It is part of the table, therefore belongs to the line.
Answer:
The slope is 1/2
The y-intercept is -4.
The points (-2, -5) and (8, 0) are also on the line.
Answer:


Step-by-step explanation:
Notation
represent the sample mean
population mean (variable of interest)
s represent the sample standard deviation
n represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
For this case the 9% confidence interval is given by:

We can calculate the mean with the following:

And we can find the margin of error with:

The margin of error for this case is given by:

And we can solve for the standard error:

The critical value for 95% confidence using the normal standard distribution is approximately 1.96 and replacing we got:

Now for the 98% confidence interval the significance is
and
the critical value would be 2.326 and then the confidence interval would be:


We have to divide using long division.
__4
4| 19
16
3
The divisor becomes the denominator, the remainder becomes the numerator, and the quotient becomes the whole number.
So we have: