<span>x=<span><span>2</span><span><span>−1+<span>√<span><span><span>53</span></span><span></span></span></span></span></span><span></span></span>,<span><span>2</span><span><span>−1−<span>√<span><span><span>53</span></span><span></span></span></span></span></span><span></span>
I hope this helps. :)</span></span>
Answer:
The probability that a randomly selected high school senior's score on mathematics part of SAT will be
(a) more than 675 is 0.0401
(b)between 450 and 675 is 0.6514
Step-by-step explanation:
Mean of Sat =![\mu = 500](https://tex.z-dn.net/?f=%5Cmu%20%3D%20500)
Standard deviation = ![\sigma = 100](https://tex.z-dn.net/?f=%5Csigma%20%3D%20100)
We will use z score over here
What is the probability that a randomly selected high school senior's score on mathe- matics part of SAT will be
(a) more than 675?
P(X>675)
![Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5C%5CZ%3D%5Cfrac%7B675-500%7D%7B100%7D)
Z=1.75
P(X>675)=1-P(X<675)=1-0.9599=0.0401
b)between 450 and 675?
P(450<X<675)
At x = 675
![Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5C%5CZ%3D%5Cfrac%7B675-500%7D%7B100%7D)
Z=1.75
At x = 450
![Z=\frac{x-\mu}{\sigma}\\Z=\frac{450-500}{100}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5C%5CZ%3D%5Cfrac%7B450-500%7D%7B100%7D)
Z=-0.5
P(450<X<675)=0.9599-0.3085=0.6514
Hence the probability that a randomly selected high school senior's score on mathematics part of SAT will be
(a) more than 675 is 0.0401
(b)between 450 and 675 is 0.6514
Answer:
A = 4 11/16 or 4.6875
Step-by-step explanation:
3 3/4 = 3W
divide both sides by 3
15/4 divided by 3 = W
15/4 x 1/3 = W
5/4 = W
A = L x W
3 3/4 x 1 1/4 = 15/4 x 5/4 = 75/16 = 4 11/16
Answer:
yes thats good
Step-by-step explanation: