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Hello!
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❖ The mean is 
1 + 2 + 2 + 2 + 3 + 3 + 4 = 17
17 ÷ 7 = 2 R 3 ()
~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡
~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ
Answer:
- left: a, 0.4A; b, 0.4A; c, 0.4A; d, 0.4A; e, 0.8A
- right: a, 0.4A; b, 0.2A; c, 0.4A, d, 0.2A; e, 0.6A
Step-by-step explanation:
The currents into and out of a single device are the same. The sum of currents into and out of a junction are the same.
<u>Left Circuit</u>
The two branches at the bottom of the circuit are identical, so will have the same current. The current in each branch will be half the current shown coming from the battery:
a = b = c = d = (0.8 A)/2 = 0.4 A
The current at e into the battery will be the same as the current shown coming out of the battery:
e = 0.8 A
__
<u>Right Circuit</u>
0.6 A is the sum of the currents into the two branches. The current in the bottom branch is shown as 0.2 A, so the current in the top branch must be 0.4 A. That way, the currents total 0.6 A.
As before, the current throughout any given branch is the same, so ...
a = c = 0.4 A
b = d = 0.2 A
e = 0.6 A
Answer:
y = -1x + 6 or y = -x + 6
Step-by-step explanation:
First, let's identify what slope-intercept form is.
y = mx + b
m is the slope. b is the y-intercept.
We know the slope is -1, so m = -1. Plug this into our standard equation.
y = -1x + b
To find b, we want to plug in a value that we know is on this line: (2, 4). Plug in the x and y values into the x and y of the standard equation.
4 = -1(2) + b
To find b, multiply the slope and the input of x(2)
4 = -2 + b
Now, add 2 from both sides to isolate b.
6 = b
Plug this into your standard equation.
y = -1x + 6
This is your equation.
Check this by plugging in the point again.
y = -1x + 6
4 = -1(2) + 6
4 = -2 + 6
4 = 4
Your equation is correct.
Hope this helps!
Answer:
<em>c</em> = 32.1
<em>b = </em>34.4
<em />
47 degrees
Step-by-step explanation:
Using sine = opp/hyp. to find side c:
Using cosine = adj/hyp. to find side b:
Finding angle B:
It's a right triangle and you're given one of the acute angles, which means you can find the missing third angle. All triangles interior angles add to equal 180 degrees.
180 - (43 + 90) = 47 degrees
Answer:
B. y = -2/3x + 12
Step-by-step explanation:
Formula to find the slope when given two points on a line:
<u>y</u><u>2</u><u> </u><u>-</u><u> </u><u>y</u><u>1</u>
x2 - x1
Substitute the two given points (6, 8) (9, 6):
<u>6</u><u> </u><u>-</u><u> </u><u>8</u>
9 - 6
Slope = -2/3x
We found the slope! And the answer choices already gave us one y-intercept, which is 12. The last thing we do is we form an equation with the information we solved and that was given to us.
y = slope (x) + y-intercept
y = -2/3x + 12
The answer choice that matches this equation is B.
In conclusion, the equation that best estimates the line of best fit shown above is answer choice B.
