Let's solve your equation step-by-step.
−2(4k−7)=22−8k
Step 1: Simplify both sides of the equation.
−2(4k−7)=22−8k
(−2)(4k)+(−2)(−7)=22+−8k(Distribute)
−8k+14=22+−8k
−8k+14=−8k+22
Step 2: Add 8k to both sides.
−8k+14+8k=−8k+22+8k
14=22
Step 3: Subtract 14 from both sides.
14−14=22−14
0=8
So, the answer is 0=8.
Answer:
y = 2x - 4
Step-by-step explanation:
<u>Step 1: Convert to slope intercept form which is y = mx + b</u>
y - 2 = 2(x - 3)
y - 2 + 2 = 2x - 6 + 2
y = 2x - 4
Answer: y = 2x - 4
Answer: 86.64%
Step-by-step explanation:
Let x be a random variable that represents the diameter of metal samples.
Given : Population mean : 
Standard deviation: 
Specified tolerance on the diameter is 0.75 mm.
i.e. range of diameter = 10-0.75< x <10+0.75 = 9.25< x< 10.75
Formula to find the z-score corresponds to x: 
At x= 0.75, 

Using standard normal table for z-value,
P-value : 
∴ Percentage of samples manufactured using this process satisfy the tolerance specification = 86.64%
Solution:
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Answer:
A. The next 3 terms are —9, —11, —13
B. The sequence is Arithmetic
C. The sequence has a common difference of —2
Common difference = T2 — T1 or = T3 — T2
=T2 — T1 = —3 —(—1) = —2 or
= T3 — T2 = —5 —(—3) = —2
D. Tn = a + d(n—1)
a = first term = —1
d = Common difference = —2
n = 27
T27 = —1 + —2(27—1)
T27 = —1 + —2(26)
T27 = —1 —52
T27 = —53