Answer: 0.03538944
Step-by-step explanation:
Given, The accuracy of missile = 96%
i.e. The probability that it will hit the shot = 0.96
Probability of missing the shot = 1-0.96= 0.04
Now, each missile is independent of other.
Therefore, the probability only the second one misses = (probability that first will hit the shot) x (probability that second one misses ) x (probability that third will hit the shot)x (probability that fourth will hit the shot)
Thus, the probability only the second one misses is ![(0.96)(0.04)(0.96)(0.96)=0.03538944](https://tex.z-dn.net/?f=%280.96%29%280.04%29%280.96%29%280.96%29%3D0.03538944)
Hence, the required probability = 0.03538944
Answer:
x = -2
Step-by-step explanation:
-6x -2x = 16
Combine like terms
-8x = 16
Divide each side by -8
-8x/-8 = 16/-8
x = -2
Answer:
(-3, 1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations by substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
x = 2y - 5
-2x + 5y = 11
<u>Step 2: Solve for </u><em><u>y</u></em>
<em>Substitution</em>
- Substitute in <em>x</em>: -2(2y - 5) + 5y = 11
- Distribute -2: -4y + 10 + 5y = 11
- Combine like terms: y + 10 = 11
- Isolate <em>y</em>: y = 1
<u>Step 3: Solve for </u><em><u>x</u></em>
- Define original equation: x = 2y - 5
- Substitute in <em>y</em>: x = 2(1) - 5
- Multiply: x = 2 - 5
- Subtract: x = -3
Answer:
a
Step-by-step explanation:
that shows
0+4.5=4.5-2.5=2
Answer: The margin of error = ![3\%](https://tex.z-dn.net/?f=3%5C%25)
Step-by-step explanation:
Given
Sample size (n) = 1000
Population proportion = 0.4
= 1 - confidence level
= 1 - 0.95
= 0.05
![margin\; of\; error = z_{\frac{\alpha }{2}}\sqrt{\frac{{\widehat{p}}{(1 -\widehat{p})}}{n}}](https://tex.z-dn.net/?f=margin%5C%3B%20%20of%5C%3B%20%20error%20%3D%20z_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%7D%5Csqrt%7B%5Cfrac%7B%7B%5Cwidehat%7Bp%7D%7D%7B%281%20-%5Cwidehat%7Bp%7D%29%7D%7D%7Bn%7D%7D)
![margin\; of\; error = z_{\frac{0.05 }{2}\sqrt{\frac{{(0.4)}{(1 -0.4)}}{1000}}](https://tex.z-dn.net/?f=margin%5C%3B%20%20of%5C%3B%20%20error%20%3D%20z_%7B%5Cfrac%7B0.05%20%7D%7B2%7D%5Csqrt%7B%5Cfrac%7B%7B%280.4%29%7D%7B%281%20-0.4%29%7D%7D%7B1000%7D%7D)
![= z_{0.025}\sqrt{\frac{{(0.4)}{(0.6)}}{1000}}](https://tex.z-dn.net/?f=%3D%20z_%7B0.025%7D%5Csqrt%7B%5Cfrac%7B%7B%280.4%29%7D%7B%280.6%29%7D%7D%7B1000%7D%7D)
![= 1.96\sqrt{\frac{{(0.4)}{(0.6)}}{1000}}](https://tex.z-dn.net/?f=%3D%201.96%5Csqrt%7B%5Cfrac%7B%7B%280.4%29%7D%7B%280.6%29%7D%7D%7B1000%7D%7D)
= 0.03
The margin of error change to
to ![3\%](https://tex.z-dn.net/?f=3%5C%25)