Answer:
Explanation:
49-20=29 blue counters
There’s a 29/49 chance that the counter will be blue
Answer:
18.14% probability that you would get at least 12 questions correct.
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:

What is the probability that you would get at least 12 questions correct?
This is 1 subtracted by the pvalue of Z when X = 12. So



has a pvalue of 0.8186.
So there is a 1-0.8186 = 0.1814 = 18.14% probability that you would get at least 12 questions correct.
With what ? I need more instructions
A = 133; b = 31; c = 82; d = 64.
Opposite angles in an inscribed quadrilateral are supplementary; this means that d + 116 = 180. Subtracting 116 from both sides, we have d = 64.
By the same theorem, c + 98 = 180; subtracting 98 from both sides, we have c = 82.
Inscribed angles are equal to 1/2 the measure of the intercepted arc. Using this, we have
116 = 1/2(a+99)
Multiplying both sides by 2, we have
232 = a+99
Subtract 99 from both sides:
232 - 99 = a + 99 - 99
133 = a
We also have that
82 = 1/2(133+b)
Multiplying both sides by 2, we have:
164 = 133 + b
Subtract 133 from both sides:
164 - 133 = 133 + b - 133
31 = b