Answer:
μ−2σ = 1,089.26
μ+2σ = 1,097.62
Step-by-step explanation:
The standard deviation of a sample of size 'n' and proportion 'p' is:
![\sigma=\sqrt{\frac{p*(1-p)}{n} }](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7B%5Cfrac%7Bp%2A%281-p%29%7D%7Bn%7D%20%7D)
If n=1139 and p =0.96, the standard deviation is:
![\sigma=\sqrt{\frac{p*(1-p)}{n}}\\\sigma = 0.001836](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7B%5Cfrac%7Bp%2A%281-p%29%7D%7Bn%7D%7D%5C%5C%5Csigma%20%3D%200.001836)
The minimum and maximum usual values are:
![\mu-2\sigma = (p-2\sigma)*n\\\mu+2\sigma = (p+2\sigma)*n](https://tex.z-dn.net/?f=%5Cmu-2%5Csigma%20%3D%20%28p-2%5Csigma%29%2An%5C%5C%5Cmu%2B2%5Csigma%20%3D%20%28p%2B2%5Csigma%29%2An)
![\mu-2\sigma = (0.96-2*0.001836)*1139\\\mu-2\sigma = 1,089.26\\\mu+2\sigma = (0.96+2*0.001836)*1139\\\mu+2\sigma = 1,097.62](https://tex.z-dn.net/?f=%5Cmu-2%5Csigma%20%3D%20%280.96-2%2A0.001836%29%2A1139%5C%5C%5Cmu-2%5Csigma%20%3D%201%2C089.26%5C%5C%5Cmu%2B2%5Csigma%20%3D%20%280.96%2B2%2A0.001836%29%2A1139%5C%5C%5Cmu%2B2%5Csigma%20%3D%201%2C097.62)
Answer:
ED = 31
DT = 20
Step-by-step explanation:
m< ESD = 90-52=38°
the distance ED = 40×tan 38° = 31.25 = 31
ET = 40 x tan (90-38) = 40×tan 52°
= 51.19= 51
the distance DT = 51-31 = 20
1 horse → 5o mL
3 horses → 50 x 3 = 150 mL
1 sheep → 4L
15 sheep → 4 x 15 = 60 L - 60 000mL
1 chicken → 200 mL
12 chicken → 200 x 12 = 2400 mL
Total = 150 + 60 000 + 2400 = 62550mL or 62L and 550mL
Answer: 62L and 550mL
To get rid of the -3 from the modulus your going to bring it over the equal sign
|2x+1|=3
To get rid of the modulus you square both sides.
![{ (|2x+1|) }^{2} = {3}^{2} \\ {(2x + 1)}^{2} = {3}^{2}](https://tex.z-dn.net/?f=%20%7B%20%28%7C2x%2B1%7C%29%20%7D%5E%7B2%7D%20%3D%20%20%20%7B3%7D%5E%7B2%7D%20%20%5C%5C%20%20%7B%282x%20%20%2B%201%29%7D%5E%7B2%7D%20%20%3D%20%20%7B3%7D%5E%7B2%7D%20)
![(2x + 1 + 3) (2x + 1 - 3) = 0](https://tex.z-dn.net/?f=%282x%20%2B%201%20%2B%203%29%20%282x%20%2B%201%20-%203%29%20%3D%200)
Postivite 3 solution is:
![2x + 1 + 3 = 0 \\ 2x + 4 = 0 \\ 2x = - 4 \\ x - 2](https://tex.z-dn.net/?f=2x%20%2B%201%20%2B%203%20%3D%200%20%5C%5C%202x%20%2B%204%20%3D%200%20%5C%5C%202x%20%3D%20%20-%204%20%5C%5C%20x%20-%202)
Negative 3 solution is
![2x + 1 - 3 = 0 \\ 2x - 2 = 0 \\ 2x = 2 \\ x = 1](https://tex.z-dn.net/?f=2x%20%2B%201%20%20-%203%20%3D%200%20%5C%5C%202x%20-%202%20%3D%200%20%5C%5C%202x%20%3D%202%20%5C%5C%20x%20%3D%201)
Therefore x is -2 and 1
Answer:
A. is incorrect. He has to divide 76 by 19, instead of subtracting 19 to 76.
B. This equation has one solution. v=4
Step-by-step explanation:
Hi, Martin’s answer is incorrect.
A. He has to divide 76 by 19, instead of subtract 19 to 76.
The correct steps are:
19v = 76
Since 19 is multiplying the variable, to eliminate it we have to divide by 19.
v = 76/19
v = 4
B. This equation has one solution. It’s v=4
Feel free to ask for more if needed or if you did not understand something.