Answer: Ron's z-score is <u>+1.2</u>.
B. 1.2 standard deviation above the mean .
Step-by-step explanation:
Let X deontes the scores of the final exam
Given : Ms. Meyer's statistics class follow a normal distribution with Mean = 82
standard deviation =5.1
Formula :
Ron scored 88 on the final.
So, put x=88
Ron's z-score is <u>+1.2</u>.
Also, 88= 86+(1.2 x 5.1) = Mean +1.2 x (standard deviation)
i.e. This means that Ron's final score is<u> 1.2 standard deviation above the mean </u>.
9514 1404 393
Answer:
- y -8 = 8/5(x +2)
- y = 8/5x +56/5
- 8x -5y = -56
Step-by-step explanation:
Since you're given a point and slope, it is convenient to start with that form.
<u>Point-slope form</u>
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -8 = 8/5(x +2) . . . point-slope equation
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<u>Slope-intercept form</u>
y = mx + b . . . . . line with slope m and y-intercept b
The above equation can be rearranged to this form.
y = 8/5x +16/5 +8
y = 8/5x +56/5 . . . . . slope-intercept form
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<u>Standard form</u>
ax +by = c
Multiplying by 5 and subtracting the y-term gives the general form equation ...
5y = 8x +56
8x -5y +56 = 0
8x -5y = -56 . . . . . . add -56 to put into standard form
Answer:
vertex (-4,-18)
Step-by-step explanation:
f(x)=2(x+1)(x+7)
f(x)=2(x^2+8x+7)
f(x)=2x^2+16x+14
f(x)=2(x^2+8x)+14
f(x)=2(x^2+8x+4^2-4^2)+14
f(x)=2(x^2+8x+4^2)+2(-4^2)+14
f(x)=2(x^2+8x+4^2)+2(-4^2)+14
f(x)=2(x^2+8x+4^2)-18
f(x)=2(x+4)^2-18
vertex form:
f(x)=a(x-h)^2+k
h=-4
k=-18
vertex (-4,-18)
<h3>Answer: M = 1/2</h3>
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Work Shown:
Solve the second equation for y to get the following
4y+x = -9
4y = -x-9
y = (-x-9)/4
y = (-x)/4-9/4
y = (-1/4)x-9/4
The equation is in y = mx+b form where m = -1/4 is the slope of this line. Note: this is not the same as the uppercase M we're after; the lowercase m is conventionally used as the general slope term.
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The slope of the second line is -1/4. Flip the fraction to get -4/1 = -4, then flip the sign to go from -4 to +4 or just 4.
This means the slope of the first line must be 4 in order for the two lines to be perpendicular. The two perpenicular slopes multiply to -1. We see that (-1/4)*(4) = -1.
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Let's solve the first equation for y
-2x + My = 5
My = 2x+5
y = (2x+5)/M
y = (2x)/M + 5/M
y = (2/M)x + 5/M
The slope here is 2/M. It must be equal to 4, so lets equate and solve for M
2/M = 4
2 = 4M
4M = 2
M = 2/4
M = 1/2
which is our final answer
Answer:
the answer is -3
Step-by-step explanation: