Gali found that she can drive 140 miles in 3 hours, including rest stops, or interstate highways. How long would it take her to
1 answer:
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The distance of the yacht from the ship is 35 km
<h3>How to determine the distance?</h3>See attachment for the diagram that represents the given parameters.
The distance of the yacht from the ship is then calculated using the following law of cosine.
YS^2 = ST^2 + YT^2 - 2 * ST * YT * cos(T)
This gives
YS^2 = 24^2 + 12^2 - 2 * 24 * 12 * cos(155)
Evaluate the exponents and the products
YS^2 = 576 + 144 + 522
Evaluate the sum
YS^2 = 1242
Take the square root of both sides
YS = 35
Hence, the distance of the yacht from the ship is 35 km
Read more about law of cosine at:
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Answer:
P(first marble will be green and the second will be green as well)= 5/22
Step-by-step explanation:
A goblet contains 2 red marbles, 6 green marbles, and 4 blue marbles.
Total number of marbles= 2+6+4
=12
P(first marble is green)=no. of green marbles/total number of marbles
= 6/12
= 1/2
P(second marble is green and we didn't put the first marble back)
=no. of green marbles left/total marbles left
= 5/11
Hence, P(first marble will be green and the second will be green as well)
=
= 5/22
A keypad at the entrance of a building has 10 buttons labeled 0 through 9. What is the probability of a person correctly guessing a 9-digit entry code if they know that no digits repeat?
Answer:
the probability of a person correctly guessing a 9-digit entry code if they know that no digits repeat is 0.1
Step-by-step explanation:
We know that probability= number of required outcomes /number of all possible outcome.
From the given information;
the number of required outcome is guessing a 9-digit = 1 outcome
the number of all possible outcome = ¹⁰C₉ since there are 10 numbers and 9 number are to be selected.
Since there are only 9-digit that opens the lock;
the probability of a person correctly guessing a 9-digit entry code is
P = 0.1