Answer:
Carla lives 16 miles from the Library.
The mistake is drawng the diagram incorrectly and using the miles given in the wrong places. The <u>student's</u> diagram has Yuri in a place that's Southwest of the Library in the diagram given
Step-by-step explanation:
If Yuri lives 24 miles SOUTH of the library, the "b" side of the triangle should be 24, with the Library at the top and Yuri at the bottom left, which is the west end of the base. The base "a" of the triangle should extend 10 to the right (East in compas directions) forming the right angle. Carla lives at the sharp southeast corner of the triangle, and the Hypotenuse "c" from her house to the Library is the distance we have to figure.
c² =a² + b²
c² = 10² + 24²
c² = 100 + 576
c² = 676
√c² = √676
c = 26 Carla lives 26 miles from the Library.
Answer: the last option.
A binomial experiment is an experiment with only two possible outcomes.
In the first option, there is three possible outcomes (i.e. A, B, C)
In the second option, there is four poissible outcomes (i.e. ace, king, queen, jack)
The third option has six possible outcomes (i.e. six faces of a die)
In the last option, there are two possible outcomes (i.e. '2 number cubes')
The arc length formed by the 2 radio is 15.24 yards
Step-by-step explanation:
Angle between the 2 radio = 45°
Radius = 64 yards
Arc length = (45/360) (2π) (64)
= (1/8) (2π) (64
= 16π
= 16(3.14)
=15.24 yards
The arc length formed by the 2 radio is 15.24 yards
Answer: 0.9762
Step-by-step explanation:
Let A be the event that days are cloudy and B be the event that days are rainy for January month .
Given : The probability that the days are cloudy = 
The probability that the days are cloudy and rainy = 
Now, the conditional probability that a randomly selected day in January will be rainy if it is cloudy is given by :-
Hence, the probability that a randomly selected day in January will be rainy if it is cloudy = 0.9762
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