<span>204
First, lookup a standard normal table and see what the z-score is for 0.025 (one half of 100% - 95%) to allow for equal sized tails. You should find that the z-score is 1.96. That means that 95% of the time, the value should be within 1.96 standard deviations of the mean. Now let's calculate the standard deviation.
800 is 800 - 1200 = -400 to the left of the mean of 1200.
1600 is 1600 - 1200 = 400 to the right of the mean of 1200.
So we are an equal distance of 400 on both sides of the mean. And we know from the z-score of 1.96, that we're 1.96 standard deviations from the mean. So a little division will give us the standard deviation. Which is:
400 / 1.96 = 204.0816327
So the standard deviation of the light bulbs is 204</span>
Answer:
All real numbers are solutions
Step-by-step explanation:
Let's solve your equation step-by-step.
−2(2x+3)=−4(x+1)−2
Step 1: Simplify both sides of the equation.
−2(2x+3)=−4(x+1)−2
(−2)(2x)+(−2)(3)=(−4)(x)+(−4)(1)+−2(Distribute)
−4x+−6=−4x+−4+−2
−4x−6=(−4x)+(−4+−2)(Combine Like Terms)
−4x−6=−4x+−6
−4x−6=−4x−6
Step 2: Add 4x to both sides.
−4x−6+4x=−4x−6+4x
−6=−6
Step 3: Add 6 to both sides.
−6+6=−6+6
0=0
Answer:
All real numbers are solutions.
Step-by-step explanation:
supplementary angles.
Answer:
70.71cm2
Step-by-step explanation:
2*5*7.071 = 70.71cm2
