Answer: 0.0386
Step-by-step explanation:
Given: The population of 400 tall women has a mean height
of 179.832 cm and a standard deviation
of 12.192 cm.
Let X be a random variable that represents the height of woman.
Sample size : n= 50
The probability that the mean for this sample group is above 182.88 will be :
![P(\overline{X}>182.88)\\\\=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{182.88-179.832}{\dfrac{12.192}{\sqrt{50}}})\\\\ =P(Z>1.7678)\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=1-P(Z](https://tex.z-dn.net/?f=P%28%5Coverline%7BX%7D%3E182.88%29%5C%5C%5C%5C%3DP%28%5Cdfrac%7B%5Coverline%7BX%7D-%5Cmu%7D%7B%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D%3E%5Cdfrac%7B182.88-179.832%7D%7B%5Cdfrac%7B12.192%7D%7B%5Csqrt%7B50%7D%7D%7D%29%5C%5C%5C%5C%20%3DP%28Z%3E1.7678%29%5C%20%5C%20%5C%20%5BZ%3D%5Cdfrac%7B%5Coverline%7BX%7D-%5Cmu%7D%7B%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D%5D%5C%5C%5C%5C%3D1-P%28Z%3C1.7678%29%5C%5C%5C%5C%3D1-0.9614%5C%20%5C%20%5C%20%5B%5Ctext%7BBy%20p-value%20table%7D%5D%5C%5C%5C%5C%3D%200.0386)
Hence, Required probability = 0.0386
Answer:
6
Step-by-step explanation:
you want to create two equations for each situation so if v=number of students that can fit in a van and c=number of students that can fit in a car then you can create the equations 3v+1c=22 and 2v+4c=28
then you want to make both equations equal to c
so for the first one you subtract both sides by 3v and you get c= -3v+22
and for the second one you subtract 2v from both sides and end up with 4c=-2v+28 and then divide both sides by 4 leaving you with c= -1/2v+7
then you make both of those equations equal to each other and solve for v
so -3v+22= -1/2v+7 and you end up with v=6
therefore, each van can hold 6 students
Answer: it’s B
Step-by-step explanation:
It is 48,239.
I deeply apologize if this is not what you meant.
The answer is -17.
Explanation:
According to PEMDAS, division goes before subtraction. So we divide -15/ -5, which equals 3 (two negative numbers cancel out and make a positive number). Now we are left with -20 + 3, which is -17.
