Sqrt(-2), can be written as i * sqrt(2). Thus, our answer is x - i sqrt(2).
We have been given that the distribution of the number of daily requests is bell-shaped and has a mean of 38 and a standard deviation of 6. We are asked to find the approximate percentage of lightbulb replacement requests numbering between 38 and 56.
First of all, we will find z-score corresponding to 38 and 56.


Now we will find z-score corresponding to 56.

We know that according to Empirical rule approximately 68% data lies with-in standard deviation of mean, approximately 95% data lies within 2 standard deviation of mean and approximately 99.7% data lies within 3 standard deviation of mean that is
.
We can see that data point 38 is at mean as it's z-score is 0 and z-score of 56 is 3. This means that 56 is 3 standard deviation above mean.
We know that mean is at center of normal distribution curve. So to find percentage of data points 3 SD above mean, we will divide 99.7% by 2.

Therefore, approximately
of lightbulb replacement requests numbering between 38 and 56.
Answer:
88°
Step-by-step explanation:
The triangle is an isosceles triangle, so two of the angles are both 46°. We also know that the sum of all the angles in any triangle is 180°, so we can set up the following equation:
46° + 46° + e = 180°
Solving this gets e = 88°.
Step-by-step explanation:
your don't see what went wrong ?
Tyrell worked on
16 - 2(4 + 3x)
what do brackets mean ? they mean that this operation has to be done before everything else in the expression.
as this contains a variable, we cannot fully calculate it, true, but we need to keep this in mind and always treat the content of the brackets as one package.
so, whatever I do from the outside with one part of that package, I have to do also with all the other parts of that package.
so, the multiplication with -2 has to happen with both : 4 and 3x. not just with 4.
therefore, the correct simplification looks like
16 - 8 - 6x
8 - 6x or -6x + 8
Amelia multiplied correctly, but then made a mistake summing things up
10x - 3(4x + 1)
10x - 12x - 3
10x - 12x = -2x
I can't mix the pure constant -3 into the factors of x. that would be like the famous mixing of apples and oranges.
so, the result is
-2x - 3