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Answer:
The expression is 
Step-by-step explanation:
Define the following events:
A: The student is enrolled in a foreign language class,
B: The student is enrolled in a technology class
We are given that 
Recall the definition of conditional probability: Let A, B be sets if P(B)>0, then, the probability of A given B is given by the expression
So, using this, we are asked for the probability 
which is
Answer:
The answer is 260 days.
Step-by-step explanation:
120 Men - 195 days (provision left after 5 days)
30 men left the fort
Men left - 90 Days - D
so 120 x 195 = 90 x D
D= 260 days
Hope you find this useful!
Answer: It is sufficient evidence that it will reject the null hypothesis.
Step-by-step explanation:
Since we have given that
Number of players of baseball games = 162
Number of games won = 97
So, 
Hypothesis:
So, test statistic would be
And the p-value = 0.006 at z=2.514.
Since p-value < α = 0.10 significance level.
Hence, it is sufficient evidence that it will reject the null hypothesis.
The given area of the shape of 57.8·π cm², and length of the slant sides
being a factor of the radius, gives the length of the radius as <u>3.4 cm</u>.
<h3>How can the length of the radius be calculated?</h3>
Given;
Radius of the two cones are equal.
Slant height of one cone = 2 × Radius
Slant height of the other cone = 3 × Radius
Surface area of the shape = 57.8·π cm²
The curved surface area of a cone = π·r·l
Required:
The radius of the cone.
Solution;
Surface areas of the cones are therefore;
π·r × 2·r, and π·r × 3·r
The total surface area is therefore;
π·r × 2·r + π·r × 3·r = 57.8·π
5·r²·π = 57.8·π
Which gives;
r² = 57.8 ÷ 5 = 11.56
r = √(11.56) = 3.4
- The radius of the cones, r =<u> 3.4 cm</u>
Learn more about finding the surface area of 3-D shapes here:
brainly.com/question/15635229
