What is the measure of x? K A 4 с 24 12,6
1 answer:
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Answer:
Step-by-step explanation:
r=24/(4+2sin θ)
4r+2r sin θ=24
divide by 2
2r+r sin θ=12
2√(x²+y²)+y=12
2√(x²+y²)=12-y
squaring
4(x²+y²)=144-24y+y²
4x²+3y²+24y=144
4x²+3(y²+8y+16-16)=144
4x²+3(y+4)²-48=144
4x²+3(y+4)²=144+48
4x²+3(y+4)²=192
divide by 192
which is an ellipse with centre(0,-4) major axis on y-axis.
Answer:
The normal approximation is applicable.
The probability of observing the results witnessed in the sample is P=0.00002.
Step-by-step explanation:
They can carry out their analysis assuming an approximation to the normal distribution because the sample size (n=213) is big enough. It would be very cumbersome to use binomial distribution with that sample size.
To calculate the probability of observing the results witnessed in the sample, we have to define the parameters of the sampling distribution, approximating this to a normal distribution:
The proportion of the sample is:
We can calculate the z-value:
The probability value for z>4.062 is equal to the probability of having a sample mean of 94 or more: