Answer:
Venus 170 million km
Mars 253 million km
Step-by-step explanation:
Answer:
4.23% probability that at least 9/10 solar-heat installations are successful and will reduce the utility bill.
Step-by-step explanation:
For each installation, there are only two possible outcomes. Either it reduces the utility bill, or it does not. The probabilities for each installation reducing the utility bill are independent. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem we have that:
Solar-heat installations successfully reduce the utility bill 60% of the time, which means that 
What is the probability that at least 9/10 solar-heat installations are successful and will reduce the utility bill?
This is
when
. So

In which



So

4.23% probability that at least 9/10 solar-heat installations are successful and will reduce the utility bill.
∠TAC = ∠ABC (The angle between the chord and the tangent is equal to the angle in the alternate segment)
Since, EDCB is a cyclic quadrilateral,
∠CBD + ∠CED = 180 ----- I
- ∠CED + ∠AED = 180 -----II
----------------------------------------------------
∠ CBD = ∠AED
Hence proved
To learn more about circle geomtery, refer to brainly.com/question/24375372
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For some reason i got 95/36 my bad fam
Answer:
a) e probability that a randomly selected baseball has a weight greater than 5.14 ounces
=P(X>5.14) =(b-x)/(b-a) =(5.155-5.14)/(5.155-5.085)=0.2143
b)
probability that a randomly selected baseball has a circumference less than 9.03 inches
=P(X<9.03) =(x-a)/(b-a) =(9.03-9)/(9.1-9)=0.3
c) probability that a randomly selected baseball will have a weight between 5.11 and 5.13 ounces and a circumference between 9.04 and 9.06 inches
=((5.13-5.11)/(5.155-5.085))*((9.06-9.04)/(9.1-9.0))=0.0571