Answer:
y = 2x - 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 3 + 4x = 2y - 9 into this form
add 9 to both sides
12 + 4x = 2y ( divide all terms by 2 )
6 + 2x = y ← in slope- intercept form
with slope m = 2
• Parallel lines have equal slopes, hence
y = 2x + c ← is the partial equation of the parallel line
To find c substitute (4, - 4) into the partial equation
- 4 =8 + c ⇒ c = - 4 - 8 = - 12
y = 2x - 12 ← equation of parallel line
Answer:
Step-by-step explanation:
Answer:
The least score the student can get is 71 to get an overall B average at the end of the year.
Step-by-step explanation:
Let the score she needs to get be = x
We now have to take the mean of all the five subjects <em>(including x)</em> and equate it to the least score she can have to get a B grade.
Let us take the least score the student needs to get a B grade to be 85
Mean of all 5 scores =
The least score the student can get is 71 to get an overall B average at the end of the year.
You are factoring one or more linear expressions (but are not factoring variables).
2.4n+9.6 can be divided by 2.4 and then the result mult. by 2.4:
2.4n+9.6 = 2.4 [ n + 4 ]
Also: -6z+12= 6 [ -z + 2 ] Here I have simplified linear functions but factoring out common constant coefficients (not variables).
Step-by-step explanation:
a. The mean can be found using the AVERAGE() function.
x = 272.7
b. The standard deviation can be found with the STDEV() function.
s = 39.9
c. The t-score can be found with the T.INV.2T() function. The confidence level is 0.04, and the degrees of freedom is 26.
t = 2.162
d. Find the lower and upper ends of the confidence interval.
Lower = 272.7 − 2.162 × 39.9 = 186.5
Upper = 272.7 + 2.162 × 39.9 = 358.9
