Answer: x = 24
Step-by-step explanation:
Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.
<u>Step 1:</u><u> </u><u><em>Remove parentheses.</em></u>
12 (2 − 2) + 32 = + 6 + 2
<u>Step 2:</u><u> </u><u><em>Simplify 2 − 2 to 0.</em></u>
12 × 0 + 32 = + 6 + 2
<u>Step 3:</u><u> </u><u><em>Simplify 12 × 0 to 0.</em></u>
0 + 32 = + 6 + 2
<u>Step 4:</u><u> </u><u><em>Simplify 0 + 32 to 32.</em></u><em> </em>
32 = + 6 + 2
<u>Step 5:</u><u> </u><u><em> + 6 + 2 to </em></u><u><em> + 8.</em></u>
32 = + 8
<u>Step 6:</u><u> Subtract 8 from both sides.</u>
32 − 8 =
<u>Step 7:</u><u> Simplify 32 − 8 to 24.</u>
24 =
<u>Step 8:</u><u> </u><u><em>Switch sides.</em></u>
= 24
~I hope I helped you! :)~
Answer:
0.0003
Step-by-step explanation:
Mean=μ=8.21
Standard deviation=σ=2.14
We have to find P(3 randomly monitored call completed in 4 min or less).
P(Xbar≤4)=?
μxbar=μ=8.21
σxbar=σ/√n=2.14/√3=1.2355
Z-score associated with xbar=4
Z=[Xbar-μxbar]/σxbar
Z=[4-8.21]/1.2355
Z=-4.21/1.2355
Z=-3.4075
P(Xbar≤4)=P(Z≤-3.41)
P(Xbar≤4)=P(-∞<Z<0)-P(0<Z<-3.41)
P(Xbar≤4)=0.5-0.4997
P(Xbar≤4)=0.0003
Thus, the probability that three randomly monitored calls will each be completed in 4 minutes or less is 0.0003.
C- 47/9 because 5 2/9 can become C if turned into an improper fraction.
Answer:
- <em>The studend first made an error in the </em><u><em>second setp</em></u><em>, </em>since he/she did not apply the distributive property correctly.
Explanation:
Here, I copy each step given and review them algebraically, until finding the first error made by the student.
0) <u>Start: System of equations:</u>
1) <u>Step 1:</u>
−2(y) = −2(15 − 2z) [Equation A is multiplied by −2.]
2y = 3 − 4z [Equation B]
This procedure is algebraically correct, since the student used correctly the multiplicative property of equalities: both sides of the equation A are multiplied by the same number, 2.
Whereas, the equation B is not algebraically manipulated.
2) <u>Step 2: </u>
- −2y = 15 − 2z [Equation A in Step 1 is simplified.]
This procedure is algebraically wrong, since the student applied wrongly the distributive property of multiplication to simplify the equation A:
- The error is that the student did not multiply - 2 times 15 and -2 times - 2z
- The correct procedure had been:
-2y = -2(15) - 2( - 2z)
-2y = - 30 + 4z
<u>Conclusion:</u> The studend made an error in the second setp, since he/she did not apply the distributive property correctly.
B its the full pie of the circle