According to the given graph, the function is not increasing from x = -1 to x = 1.
Remember that not increasing behavior is expressed as a horizontal line.
<h2>Hence, the interval is [-1, 1].</h2>
Answer:
17
Step-by-step explanation:
y=4(3)+5
y=12+5
y=17
Answer:
The tank can hold 4110.26 gallons of water.
Step-by-step explanation:
In order to solve this question we need to compute the volume of this tank, the volume is given by:
V = (area of the base)*height
Since the base is circullar, it is given by:
area of the base = pi*r^2
So we have:
V = height*pi*r^2
The radius of circle is the diameter divided by 2, so in this case r = 10/2 = 5 ft. We can now use the values on the equations:
V = 7*3.14*(5)^2 = 549.5 ft^3
Since each cubic foot holds 7.48 gallons of water the volume in gallons is:
V = 549.5*7.48 = 4110.26 gallons
The tank can hold 4110.26 gallons of water.
Answer:
3.14 thousand dollars
Step-by-step explanation:
Standard deviation is the average distance of your data values from the mean (basically, how far off you were from the center). We calculate standard deviation or σ by taking each value, subtracting it from the mean, squaring it, then dividing by the mean.
First, we need to find the mean, which is the sum of all values / number of values.
5 + 6 + 5 + 10 + 9 = 35 / 5 = 7
Take the absolute value of the difference of each value from 7:
5 - 7 = 2
6 - 7 = 1
5 - 7 = 2
10 - 7 = 3
9 - 7 = 2
Square each of these values and add them together:
2^2 + 1^2 + 2^2 + 3^2 + 2^2 = 22
Divide the sum by the mean:
22 / 7 = 3.14
<u>The standard deviation is 3.14 thousand dollars.</u>
How to Find the Mean. The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
Median
Arrange your numbers in numerical order.
Count how many numbers you have. If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
To find the mode, or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode.
