Answer:
38.59% probability that inflation rate will be below 1.9% in 2019
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
If the annual inflation rate is normally distributed, what is the probability that inflation rate will be below 1.9% in 2019?
This is the pvalue of Z when X = 1.9. So
has a pvalue of 0.3859
38.59% probability that inflation rate will be below 1.9% in 2019
Answer:
:
1.
centre(h,k)=(-13,9)
radius (r)=6
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x+13)²+(y-9)²=6²
(x+13)²+(y-9)²=36you can write this equation too
x²+26x+169+y²-18y+81=36
x²+y²+26x-18y+169+81-36=0
x²+y²+26x-18y +214=0
is a required equation of the circle.
2.
centre(h,k)=(1,-1)
radius (r)=11
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x-1)²+(y+1)²=11²
(x-1)²+(y+1)²=121
you can write this equation too
x²-2x+1+y²+2y+1=121
x²+y²-2x+2y=121-2
x²+y²-2x+2y=119
is a required equation of the circle.
3.
centre (h,k)=(3,1)
radius (r)=4units.
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x-3)²+(y-1)²=4²
(x-3)²+(y-1)²=16 is a required equation.
4.
centre(h,k)=(4,-2)
radius (r)=3
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x-4)²+(y+2)²=3²
(x-4)²+(y+2)²=9
you can write this equation
Yes, the Y values are being multiplied
Answer:
Nathaniel had a bag containing 75 marbles. He drew out a marble without looking and recorded the color. He then put the marble back in the bag and drew another marble without looking and recorded its color. He continued this for 15 draws. The table shows his results.
Based on the information shown in the table, what is the best estimate for the number of red marbles in the bag?
there is no table
Sinx=5/13 then cosx=12/13 sin(x/2) =sqrt(1-cosx/2) =sqrt(1-12/13)/2 =sqrt(1/26) =1/sqrt(26)
So, the answer will be D option sqrt (1/26).