Answer:
The length of the leg is 13.416
Step-by-step explanation:
To calculate one side of a right triangle from the other 2 sides we have to use Pythagoras
h = hypotenuse = 18
a = leg 1 = 12
b = leg 2 =
h² = a² + b²
we replace the known values and solve
18² = (12)² + (a)²
324 = 144 + (a)²
324 - 144 = (a)²
324 - 144 = (a)²
√180 = a
13.416 = a
The length of the leg is 13.416
Answer:
Mailing preparation takes 38.29 min max time to prepare the mails.
Step-by-step explanation:
Given:
Mean:35 min
standard deviation:2 min
and 95% confidence interval.
To Find:
In normal distribution mailing preparation time taken less than.
i.eP(t<x)=?
Solution:
Here t -time and x -required time
mean time 35 min
5 % will not have true mean value . with 95 % confidence.
Question is asked as ,preparation takes less than time means what is max time that preparation will take to prepare mails.
No mail take more time than that time .
by Z-score or by confidence interval is
Z=(X-mean)/standard deviation.
Z=1.96 at 95 % confidence interval.
1.96=(X-35)/2
3.92=(x-35)
X=38.29 min
or
Confidence interval =35±Z*standard deviation
=35±1.96*2
=35±3.92
=38.29 or 31.71 min
But we require the max time i.e 38.29 min
And by observation we can also conclude the max time from options as 38.29 min.
Answer:
Option B. Amplitude =3 midline is y =2.
Step-by-step explanation:
In the graph attached we have to find the amplitude and midline of the periodic function.
Amplitude of the periodic function = (Distance between two extreme points on y asxis)/2
= (5-(-1))/2 = (5+1)/2 =6/2 =3.
Since amplitude of this function is 3 and by definition amplitude of any periodic function is the distance between the midline and the extreme point of wave on one side.
Therefore midline of the wave function is y=2 from which measurement of the amplitude is 3.
The additive inverse of a number is what you can add to that number for the sum to be zero. For real numbers, such as rational numbers, that means the additive inverse can be found by just flipping the sign of the number.
The additive inverse property says if you add a number and its additive inverse, then the sum is zero.
For example, let's use the number 3. The additive inverse of 3 is -3, since 3 + (-3) = 0. This is also true the other way around. The additive inverse of -3 is 3.
When subtracting rational numbers, remember that subtracting is the same as adding a negative! That means 3 - 3 is the same as 3 + (-3) or -3 - (-3) is the same as -3 + 3. Both of these sums involve a number and its additive inverse and they add up to zero.
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For the problem, I don't think you gave me the complete problem, or perhaps there's a typo? Let me know and then I can edit my response to help you out :)
