Answer: .3 or 3/10
Explanation: The probability that her first answer is correct is 2/5. Since she got the first guess correct, now there is only 1 correct answer out of 4. There is a 3/4 chance she will get the next problem wrong
So: 2/5 x 3/4 = .3
Answer:
a) We need to find p(x<68.15)
Standardize x to z, we have, z = (68.15-μ)/σ
=(68.15-57)/8.1
=1.38
Reading from standard normal tables,
p(z<1.38) =0.9162.
b) We need to find p(x>54.4)
Standardize x to z, we have, z = (54.4-μ)/σ
=(54.4-57)/8.1
=-0.32
Reading from standard normal tables,
p(z>-0.32) = 0.6255
B.
20% of $47.14 is $9.48
The length of the long leg of the triangle is 144 units
<h3>Pythagoras theorem</h3>
Pythagoras theorem is used to solve the sides of a right angle triangle and can be represented as follows;
where
c = hypotenuse
a and b are the other legs.
Therefore,
145² - 17² = b²
b² = 21025 - 289
b² = 20736
b = √20736
b = 144
Therefore, the length of the longer leg of the triangle is 144 units
learn more on Pythagoras theorem here: brainly.com/question/8511675
