Answer:
Step-by-step explanation:
hello :
the x interception for Y=2x +7 when Y=0 means : 2x +7=0
so x = -7/2
If you are at sea level and diving and you descend 500 ft, then how far are you away from sea level?
0+|-500|=500 feet away from sea level
Answer:
k = 5
Step-by-step explanation:
The given line is y = 4x - 14.
The given point is (k, k + 1).
For this point, x = k and y = k + 1.
You substitute these equations into the line's equation to find the value of k.
(x = k)
(y = k + 1)
y = 4x - 14
(k + 1) = 4(k) - 14
Solve for k.
k + 1 = 4k - 14
Subtract k from both sides.
1 = 3k - 14
Add 14 to both sides.
15 = 3k
Divide both sides by 3.
15/3 = k
Simplify.
5 = k
And that's the answer!
Please mark as Brainliest! :)
Answer:z=0.0768
Step-by-step explanation:
For Binomial distribution
mean ![(\mu )=np](https://tex.z-dn.net/?f=%28%5Cmu%20%29%3Dnp)
Where n=90
and probabilty of getting success(P)=0.5 (also q=0.5)
![\mu =90\times 0.5=45](https://tex.z-dn.net/?f=%5Cmu%20%3D90%5Ctimes%200.5%3D45)
![\sqrt{Variance}=npq](https://tex.z-dn.net/?f=%5Csqrt%7BVariance%7D%3Dnpq)
![\sqrt{Variance}=90\times 0.5\times 0.5=22.5](https://tex.z-dn.net/?f=%5Csqrt%7BVariance%7D%3D90%5Ctimes%200.5%5Ctimes%200.5%3D22.5)
Standard deviation![(\sigma )=4.743](https://tex.z-dn.net/?f=%28%5Csigma%20%29%3D4.743)
Now using normal distribution as an approximation to the binomial distribution
![P(x=43)=P\left [ \frac{42.5-45}{4.743}](https://tex.z-dn.net/?f=P%28x%3D43%29%3DP%5Cleft%20%5B%20%5Cfrac%7B42.5-45%7D%7B4.743%7D%3Cz%3C%5Cfrac%7B43.5-45%7D%7B4.743%7D%5Cright%20%5D)
Using standard normal tables P![\left [ -0.527](https://tex.z-dn.net/?f=%5Cleft%20%5B%20-0.527%3Cz%3C-0.316%20%5Cright%20%5D)
Value z=0.0768
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