Step-by-step explanation:
since in a triangle each side must be shorter than the sum of the other 2 sides (otherwise the end points cannot connect, and there is no triangle), the necessary inequality condition must be
side < 1 + 2 = 3
so,
side < 3
for a lower limit let's go through the cases
1 < 2 + side (is always true)
2 < 1 + side
1 < side (side must be larger than 1)
and again
side < 1 + 2 = 3
side < 3
so the full restriction for the third side is
1 < side < 3
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.
Literally just learned this in algebra are you a freshman too ????? lol
A natural number is a positive or nonnegative integer. All the counting numbers, (1, 2, 3, etc.) are natural numbers. Other names for the same type of object include whole number and counting counting.
Area of triangle=1/2(base×height)
360=1/2((4x-2)(7x+5))
720=(4x-2)(7x+5)
FOIL the binomial
720=28x^2+6x-10
Bring 720 to the other side
28x^2+6x-10-720=0
28x^2+6x-730=0
Factor 2 out
2(14x^2+3x-365)=0
Factor 2(14x+73)(x-5)=0
x-5=0
x=5
It can't be 14x-73=0 because the length can't be negative.
You're welcome.
Answer:
8
Step-by-step explanation:
128-16=112
112÷15(boys+girls)=7.4666666
7.4666666 rounds to 8