The figure shows the elliptical orbit of Mercury, whose minimum distance to the Sun is 29 million miles and whose maximum distan
ce to the Sun is 43 million miles. According to Kepler's laws, the average distance of a planet to the Sun is equal to half the length of the orbit's major axis. The average distance of Mercury to the Sun is _____ million miles. (Enter only the number.)
1 answer:
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Answer:
b = -6
Step-by-step explanation:
Apply the exponent rule that
In this case,
Set that equal to :
Apply the exponent rule that so now you get:
Since the base is y for both sides of the equation, just set the exponents equal to each other and solve for b.
4b = -24
divide each side by 4 to get:
b = -6
Solution :
Given data :
The mean length of the steel rod = 29 centimeter (cm)
The standard deviation of a normally distributed lengths of rods = 0.07 centimeter (cm)
a). We are required to find the proportion of rod that have a length of less than 28.9 centimeter (cm).
Therefore, P(x < 28.9) = P(z < (28.9-29) / 0.07)
= P(z < -1.42)
= 0.0778
b). Any rods which is shorter than cm or longer than
cm that re discarded.
Therefore,
P (x < 24.84 or 25.16 < x) = P( -59.42 < z or -54.85)
= 1.052
Answer:
x = 5
Step-by-step explanation:
By remote exterior angle theorem: