First of all get a picture of what this looks like. Desmos is a pretty good graphing program, but anything that will do polar coordinates will work.
Here is the graph.
What you can see is that this graph is symmetrical around the x axis.
When you talk about symmetry, you can think of it as taking a mirror and putting it where you think there is symmetry. If you can't tell the difference between the image and the real thing, then you have symmetry.
In this case, the mirror will show symmetry along the x axis and no where else.
<h3>
The probability of picking a red face card from the deck is ![(\frac{3}{26} )](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B26%7D%20%29)
</h3><h3>
The probability of NOT picking a red face card from the deck is ![(\frac{23}{26} )](https://tex.z-dn.net/?f=%28%5Cfrac%7B23%7D%7B26%7D%20%29)
</h3>
Step-by-step explanation:
The total number of cards in the deck = 52
The total number of red( Diamond + Hearts) face cards in the given deck
= 2 Red Queens + 2 Red jacks + 2 Red kings = 6 cards
Let E : Event of picking a red face card from the deck
Now , P( any event) = ![\frac{\textrm{The number of favorable observations}}{\textrm{Total number of observations}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctextrm%7BThe%20number%20of%20favorable%20observations%7D%7D%7B%5Ctextrm%7BTotal%20number%20of%20observations%7D%7D)
So, here P(Picking a red face card) = ![\frac{\textrm{The number of red face cards}}{\textrm{Total number of cards}} = (\frac{6}{52} ) = (\frac{3}{26})](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctextrm%7BThe%20number%20of%20red%20face%20cards%7D%7D%7B%5Ctextrm%7BTotal%20number%20of%20cards%7D%7D%20%3D%20%20%28%5Cfrac%7B6%7D%7B52%7D%20%29%20%3D%20%28%5Cfrac%7B3%7D%7B26%7D%29)
Hence, the probability of picking a red face card from the deck is ![(\frac{3}{26} )](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B26%7D%20%29)
Now, as we know P (any event NOT A) = 1 - P(any event A)
So, P(NOT Picking a red face card) = 1 - P(Picking a red face card)
Hence, the probability of NOT picking a red face card from the deck is ![(\frac{23}{26} )](https://tex.z-dn.net/?f=%28%5Cfrac%7B23%7D%7B26%7D%20%29)
Answer:
please can you specify which topic exactly is it on Arithmetric or Geometric Progression or on another topic
please kindly specify and send the question back
Thank you
Step-by-step explanation:
200 decimeters
explanation: there is 10 decimeters in a meter
so 10×20=200
PLEASE MARK BRAINLIEST
Answer:
d. (0.737, 0.823)
The 90% confidence interval is = (0.737, 0.823)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
p+/-z√(p(1-p)/n)
Given that;
Proportion p = 195/250 = 0.78
Number of samples n = 250
Confidence interval = 90%
z value(at 90% confidence) = 1.645
Substituting the values we have;
0.78 +/- 1.645√(0.78(1-0.78)/250)
0.78 +/- 1.645√(0.0006864)
0.78 +/- 1.645(0.026199236630)
0.78 +/- 0.043097744256
0.78 +/- 0.043
(0.737, 0.823)
The 90% confidence interval is = (0.737, 0.823)