The probability that the cat lands on its feet both times it falls out of a tree is 0.85
<h3>How to determine the probability?</h3>
The probability that the cat lands on its feet is given as:
P(Feet) = 0.92
The probability that it lands on its feet twice is calculated using:
P = P(Feet) * P(Feet)
So, we have:
P = 0.92 * 0.92
Evaluate
P = 0.85
Hence, the probability is 0.85
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Answer:
A.0.4477
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 a randomly selected exam will require between 14 and 19 minutes to grade?
This probability is the pvalue of Z when X = 19 subtracted by the pvalue of Z when X = 14. So
X = 19
has a pvalue of 0.7389.
X = 14
has a pvalue of 0.2912
0.7389 - 0.2912 = 0.4477
So the correct answer is:
A.0.4477
Answer:
y ≤ 1/3 x - 1.3.
Step-by-step explanation:
First find the equation of the line:
The slope = (-0.3 - (-1.3) / (3 - 0).
= 1/3 so the equation is y = 1/3x + b where b is a constant.
b is the y-intercept which is the value of y when x = 0 . We see that it is -1.3 ( from the point 0, -1.3).
Since the line is continuous and the shading is below this line the inequality sign is 'less than or equal to', ≤.
Because the problem represents right angle we can use simple geometric functions to determine size of sides of triangle and its angles if needed.
Since we have angle at point that is 42 feets away from base of the building and we need lenght of side that is oposite from that angle that means that we need some trigonometric function that includes those 2 sides.
that function is tangens.
tan67 = oposite side/side next to angle
tan67 = x/42
x = 42*tan67
x = 98.94 feet
Answer is D 99 feet
Answer:
B 8+8x = 24
Step-by-step explanation:
9+6x+2x-1 = 24
Combine like terms
6x+2x +9-1 = 24
8x +8 = 24
Rearranging
8 + 8x =24
