Answer:
1560 breaths
Step-by-step explanation:
130/5=26
26*60
1560 breaths
Answer:
0.5
Step-by-step explanation:
Given data
![\frac{4}{y} +\frac{3}{x} =8\\\frac{6}{y}+\frac{5}{x} =13](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7By%7D%20%2B%5Cfrac%7B3%7D%7Bx%7D%20%3D8%5C%5C%5Cfrac%7B6%7D%7By%7D%2B%5Cfrac%7B5%7D%7Bx%7D%20%3D13)
Now,
4x+3y=8xy......(i)
6x+5y=13xy.......(ii)
Multiply by 5 in equation (i) and by 3 in equation (ii)
20x+15y=40xy.....(iii)
18x+15y=39xy.....(iV)
Solving above equation (iii) and (iv)
2x=xy
y=2
Now, putting the y=2 in equation (i)
4x+3(2)=8x(2)
4x+6=16x
6=12x
x=0.5
Value of x=0.5
I do not believe so, no. theres interior angles and exterior angles. hope that helps!
Sum with scientific notation. We just ignore the 10^5, because the two numbers have the same exponent and repeat it on the result of the normal sum between the numbers.
But, for example, if we had:
-> 5 x 10^4 + 5 x 10^5
We would need to equal the exponents to do the sum without having to multiply all those tens.
5 x 10^4 + 50 x 10^4
= 55 x 10^4
or 0.5 x 10^5 + 5 x 10^5
= 5.5 x 10^5
*They are the same results.
Now returning to the question:
-> 7.35 + 9.78 = 17.13
-> 17.13 x 10^5
You can prove it yourself:
-> 7.35 x 10^5 = 735,000
-> 9.78 x 10^5 = 978,000
-> 735,000 + 978,000 = 1,713,000
Or: 1713 x 10^3 or 17.13 x 10^5
Answer: The combined capacity of the two tower is 17.13 x 10^5 gallons of water.
Answer:
Following are the responses to the given question:
Step-by-step explanation:
![Sample \ size = n = 1013\\\\\mu = 3.01\\\\\sigma = 2.65](https://tex.z-dn.net/?f=Sample%20%5C%20size%20%3D%20n%20%3D%201013%5C%5C%5C%5C%5Cmu%20%3D%203.01%5C%5C%5C%5C%5Csigma%20%3D%202.65)
For point a:
Using formula:
![Z = \frac{(X - \mu)}{\sigma}\\\\X = 8\\\\Z = \frac{(8- 3.01)}{2.65} = 1.88\\\\](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B%28X%20-%20%5Cmu%29%7D%7B%5Csigma%7D%5C%5C%5C%5CX%20%3D%208%5C%5C%5C%5CZ%20%3D%20%5Cfrac%7B%288-%203.01%29%7D%7B2.65%7D%20%3D%201.88%5C%5C%5C%5C)
For point b:
![P(X](https://tex.z-dn.net/?f=P%28X%3C5%29%3D%3F%5C%5C%5C%5C%20x%20%3D%205%5C%5C%5C%5C%20Z%20%3D%20%5Cfrac%7B%28X%20-%20%5Cmu%29%7D%7B%5Csigma%7D%20%3D%20%5Cfrac%7B%285%20-3.01%29%7D%7B2.65%7D%20%3D%200.7509434%5C%5C%5C%5CP%28Z%3C%200.7509434%29%20%3D%200.7736566%5C%5C%5C%5CP%28X%3C5%29%20%3D%20P%28Z%3C%200.7509434%29%20%3D%200.7736566)
For point c:
![X=? \\\\Z = 1\\\\\text{Formula for X score:}\\\\X = \mu + Z \times \alpha\\\\X = 3.01 + 1\times 2.65 = 3.01 + 2.65 = 5.66](https://tex.z-dn.net/?f=X%3D%3F%20%5C%5C%5C%5CZ%20%3D%201%5C%5C%5C%5C%5Ctext%7BFormula%20for%20X%20score%3A%7D%5C%5C%5C%5CX%20%3D%20%5Cmu%20%2B%20Z%20%5Ctimes%20%5Calpha%5C%5C%5C%5CX%20%3D%203.01%20%2B%201%5Ctimes%202.65%20%3D%203.01%20%2B%202.65%20%3D%205.66)
For point d:
![P(1 \leq X \leq 6)=? \\\\P(1 \leq X \leq 6) = P(X \leq 6) - P(X\leq 1) = P(X< 6) - P(X](https://tex.z-dn.net/?f=P%281%20%5Cleq%20X%20%5Cleq%206%29%3D%3F%20%5C%5C%5C%5CP%281%20%5Cleq%20X%20%5Cleq%206%29%20%3D%20P%28X%20%5Cleq%206%29%20-%20P%28X%5Cleq%201%29%20%3D%20P%28X%3C%206%29%20-%20P%28X%3C1%29%5C%5C%5C%5C%5Ctext%7BZ%20score%20for%20x%7D%20%3D%206%5C%5C%5C%5CZ%20%3D%20%5Cfrac%7B%286%20-%203.01%29%7D%7B2.65%7D%20%3D%201.128301887%20%5C%5C%5C%5CP%28Z%3C%201.128301887%29%20%3D%200.870403777%20%5C%5C%5C%5CP%28X%3C6%29%20%3D%20P%28Z%3C%201.128301887%29%20%3D%200.870403777%20%5C%5C%5C%5C%5Ctext%7BZ%20score%20for%20x%7D%20%20%3D%201%20%5C%5C%5C%5C)