<h2>Hello!</h2>
The answer is:
The relation is a function
Domain: {-5,-3,1}
Range: {6,3}
<h2>Why?</h2>
It's a function since each input (domain) has only one value at the output (range). A function exists when there is only a single value for each input, if there is more than one output for each input, the relation is not a function.
Have a nice day!
First, let’s break this down. What exactly are we looking at here? Well, Daisy measured the heights of 20 plants (in cm). The table, under Frequency, shows the # of plants that fit within a certain height range, shown on the left under Height of Plants (h).
Now, it says to take the midpoints of each group to figure out an estimate of the mean height. To find the mean, you add up all the totals and divide it by the # of items. So, let’s go through each row.
Midpoint of 0-10 is 5, and Frequency is 1, so that gives us 5.
Midpoint of 10-20 is 15, Frequency is 4, and 15x4=60.
We continue this with the other rows by finding the midpoint & multiplying the midpoint by the frequency (if the frequency is greater than 1). This gives us the numbers:
175 (25x7)
70 (35x2)
135 (45x3)
165 (55x3)
Now, we add these all together.
5+60+175+70+135+165=610
Finally, we divide 610 by the # of items (remember, there are 20 plants so we divide by 20) and 610/20 is 30.5.
FINAL ANSWER:
Thus, if I calculated correctly (which I hope I did lol), our estimate for the mean height of a plant is 30.5 cm!
Answer:
I don't understand the question take a snip it or take a picture of the question
Step-by-step explanation:
Well, whenever a number is next to a variable or next to parenthesis, (a variable is the letter[s] used to represent a value in the problem, such as 3b in this question), that means you would multiply the number times the letter, or the number times the answer in the parenthesis. So since we know a = 9, and b = 2, let's solve the equation now! :D
Now according to the order of operations of PEMDAS, let's solve what's in parenthesis first.
5(a + 3b)
⇒ a + 3b
⇒ a (a = 9), + 3 times b (b = 2)
⇒ 9 + 3 × 2
⇒ 9 + 6
⇒ 15.
⇒ 5(15)
⇒ 5 × 15
⇒ 75.
After doing all steps with the help of the order of operations of PEMDAS, your final answer would be 75. =)
I hope I helped! ^-^
Answer:
You'll need $2,500 in sales this week to end up with $600 in income for the week.
Step-by-step explanation:
Let s represent the dollar amount of the total sales for the week.
The commission earned on such sales is 1/5, or 0.20, of s:
Commission: 0.20s
Then the correct expression for your weekly income is:
$100 + 0.20s = $600.
Solving for s, subtract $100 from both sides. Then 0.20s = $500, and through division we get s = $2,500.
You'll need $2,500 in sales this week to end up with $600 in income for the week.
