Answer:
Paula would choose the side with all of the mushrooms and half of the pepperoni. She wont choose any sausage because she doesn't like it, but luckily David likes sausage twice as much as mushroom so he's fine with getting all of the sausage and half of the pepperoni. They both equally like pepperoni so it makes sense for them to share.
Answer:
– 2
Step-by-step explanation:
From the question given above, the following data were obtained:
P(x) = polynomial
P(–5) = – 2
P(5) = –1
Remainder when P(x) is divided by
(x + 5) =?
To obtain the remainder when P(x) is divided by (x + 5), we shall apply the reminder theorem as follow:
Let (x + 5) be equal to 0
(x + 5) = 0
x + 5 = 0
Subtract 5 from both side
x + 5 – 5 = 0 – 5
x = –5
Replace x in P(x) with –5 as shown below:
P(x) = polynomial
x = – 5
P(–5)
From the question given above,
P(–5) = – 2
Therefore, when P(x) is divided by
(x + 5), the remainder is – 2.
Answer:
The graph y = 18x2 + mx + 2= 12
So the answer is 12
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
