For this case we must find the solution of the following expression:
![(x + 7) (x + 7) = 0](https://tex.z-dn.net/?f=%28x%20%2B%207%29%20%28x%20%2B%207%29%20%3D%200)
If we isolate a term and we equate to zero, we have:
![x + 7 = 0](https://tex.z-dn.net/?f=x%20%2B%207%20%3D%200)
Subtracting 7 on both sides of the equation we have:
![x + 7-7 = 0-7\\x = -7](https://tex.z-dn.net/?f=x%20%2B%207-7%20%3D%200-7%5C%5Cx%20%3D%20-7)
Thus, the solution of the expression is given by:
![x = -7](https://tex.z-dn.net/?f=x%20%3D%20-7)
ANswer:
![x = -7](https://tex.z-dn.net/?f=x%20%3D%20-7)
Answer:
(Correct to 4 decimal places)
Step-by-step explanation:
The probability of a continuous normal variable X found in a particular interval [a, b] is the area under the curve bounded by x=a and x=b and is given by:
![P(a](https://tex.z-dn.net/?f=P%28a%3CX%3Cb%29%3D%7B%5Cint_%7B%7Ba%7D%7D%5E%7B%7Bb%7D%7D%7D%20f%7B%7B%5Cleft%28%7BX%7D%5Cright%29%7D%7D%7B%5Cleft.%7Bd%7D%7Bx%7D%5Cright%7D)
where
![f(X)=\frac{1}{\sigma \sqrt{2 \pi} }e^{-\frac{1}{2} (\frac{x-u}{ \sigma} )^2}](https://tex.z-dn.net/?f=f%28X%29%3D%5Cfrac%7B1%7D%7B%5Csigma%20%5Csqrt%7B2%20%5Cpi%7D%20%7De%5E%7B-%5Cfrac%7B1%7D%7B2%7D%20%28%5Cfrac%7Bx-u%7D%7B%20%5Csigma%7D%20%29%5E2%7D)
![f(X)=\frac{1}{200 \sqrt{2 \pi} }e^{-\frac{1}{2} (\frac{x-1400}{ 200} )^2}\\=\frac{1}{200 \sqrt{2 \pi} }e^{- \frac{(x-1400)^2}{ 80000}\\](https://tex.z-dn.net/?f=f%28X%29%3D%5Cfrac%7B1%7D%7B200%20%5Csqrt%7B2%20%5Cpi%7D%20%7De%5E%7B-%5Cfrac%7B1%7D%7B2%7D%20%28%5Cfrac%7Bx-1400%7D%7B%20200%7D%20%29%5E2%7D%5C%5C%3D%5Cfrac%7B1%7D%7B200%20%5Csqrt%7B2%20%5Cpi%7D%20%7De%5E%7B-%20%5Cfrac%7B%28x-1400%29%5E2%7D%7B%2080000%7D%5C%5C)
![P(1739](https://tex.z-dn.net/?f=P%281739%3CX%3C1800%29%3D%7B%5Cint_%7B%7B1739%7D%7D%5E%7B%7B1800%7D%7D%7D%20f%7B%7B%5Cleft%28%7BX%7D%5Cright%29%7D%7D%7B%5Cleft.%7Bd%7D%7Bx%7D%5Cright%7D)
![P(1739](https://tex.z-dn.net/?f=P%281739%3CX%3C1800%29%3D%7B%5Cint_%7B%7B1739%7D%7D%5E%7B%7B1800%7D%7D%7D%20%5Cfrac%7B1%7D%7B200%20%5Csqrt%7B2%20%5Cpi%7D%20%7De%5E%7B-%20%5Cfrac%7B%28x-1400%29%5E2%7D%7B%2080000%7D%5C%5C)
Using a calculator,
Answer is
0.8(2x-6)
Step-by-step explanation:
0.8x2x=1.6x
0.8x-6 = -4.8
Answer:
The probability of a customer buying carrots is 0.10.
Step-by-step explanation:
Here, given:
P (Customer buying apples) = 12%
⇒ P(A) = 12 \100 = 0.12
P(Customer Buying apples AND Carrots) = 5%
⇒ P(A ∩ C ) = 5 /100 = 0.05
P(Customer buying apples OR carrots ) = 17%
⇒ P(A∪ C) = 17/100 = 0.17
Now, we know that:
<h3>
P(X ∪ Y) = P(X) + P(Y) - P(X ∩ Y ) </h3><h3>
</h3>
Now, here substituting the values, we get:
P(A∪ C) = P(A) + P(C) - P(A ∩ C )
⇒ 0. 17 = 0.12 + P(C) - 0.05
or, 0.17 - 0.07 = P(C)
or, P(C) = 0.10
or, P(Customer Buying Carrots) = 0.10
Hence, the probability of a customer buying carrots is 0.10.