This isn't a table, but you can easily make it into one.
s t
-2 -5.5
-1 -2.75
0 0
1 2.75
2 5.5
Answer:
x = 8
Step-by-step explanation:
The measures of the angles in a triangle add up to equal 180°
That being said we can create an equation to solve for x
( note that this is a right triangle indicated by the square. A right triangle has a right angle which has a measure of 90° )
180 = 90 + 5x + 5 + 5x + 5
now we solve for x using basic algebra
step 1 combine like terms
90 + 5 + 5 = 100
5x + 5x = 10
now we have 180 = 100 + 10x
step 2 subtract 100 from each side
180 - 100 = 80
100 - 100 cancels out
now we have 10x = 80
step 3 divide each side by 10
10x / 10 = x
80 / 10 = 8
we're left with x = 8
Answer:
4.5 years ; (3.25, 4.75)
Step-by-step explanation:
Given that :
Mean , m = 4
Standard deviation, s = 0.75
The upper quartile, which is the 3rd quartile of a standard normal distribution is 0.67
Therefore, the upper quartile Q3:
Q3 = mean + 0.67 * standard deviation
Q3 = 4 + 0.67(0.75)
Q3 = 4 + 0.5025
Q3 = 4.5025
Q3 = 4.5 years
Range of values that contain the middle 68%
According to the empirical rule;
68% is within 1 standard deviation of the mean
Therefore ;
Interval will be ;
Mean ± 1 standard deviation
(4 - 0.75) ; (4 + 0.75)
(3.25, 4.75)
Answer:
Given statement: The number of gallons of water in the swimming pool x minutes after turning on the faucet is represented by :
.....[1]
The equation of straight line is represented by
.....[2]
where
m represents the slope of line
and
b is the y-intercepts.
On comparing the equation [1] with [2] we get;
slope(m) = 24 and
y-intercept(b) = 285.
x-intercept defined as the graph crosses the x-axis i.e,
substitute the value of y =0 in [1] to solve for x;
0= 24x + 285
Subtract 285 from both sides we get;
-285 = 24x
Divide both sides by 24 we get;
![x = -\frac{285}{24} = -11.875](https://tex.z-dn.net/?f=x%20%3D%20-%5Cfrac%7B285%7D%7B24%7D%20%3D%20-11.875)
x = -11.875
(a)
y= 24x + 285 where x is in minute.
You can see the graph of the equation as shown below.
(b)
Slope of the equation = 24
y-intercepts = 285
(c)
Since, x intercept is not applicable to this problem because value of x is negative as x represents the time(in minutes)