Evaluate the expression
1 answer:
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Answer:
a) 0.25
b) 0.25
c) 0.0625
Step-by-step explanation:
The complete question is:
Do you remember when breakfast cereal companies placed prizes in boxes of cereal? Possibly you recall that when a certain prize or toy was particularly special to children, it increased their interest in trying to get that toy. How many boxes of cereal would a customer have to buy to get that toy? Companies used this strategy to sell their cereal.
One of these companies put one of the following toys in its cereal boxes: a block (B), a toy watch (W), a toy ring (R), and a toy airplane (A). A machine that placed the toy in the box was programmed to select a toy by drawing a random number of 1 to 4. If a 1 was selected, the block (or B) was placed in the box; if a 2 was selected, a watch (or W) was placed in the box; if a 3 was selected, a ring (or R) was placed in the box; and if a 4 was selected, an airplane (or A) was placed in the box. When this promotion was launched, young children were especially interested in getting the toy airplane.
What is the probability of getting an airplane in the first cereal box?
Since the machine randomly selects toys, each toy has the same probability of being obtained in a cereal box.
Then, the total outcomes are 4 and the probability of getting an airplane in the first cereal box is 0.25 (25%).
What is the probability of getting an airplane in the second cereal box?
Two independent events do not change the probability of occurrence of one event or another.
The probability of getting an airplane in the second cereal box is 0.25 (25%).
What is the probability of getting airplanes in both cereal boxes?
P(1°∩2°)= P(1°) × P(2°) =
P(1°∩2°)= 0.0625 = 6.25%
Answer: The length of the hypotenuse is 26 cm
Step-by-step explanation: Please refer to the attached diagram
The triangle ABC is drawn as described such that the right angle is at point C and line AB is the hypotenuse which is yet unknown.
Since we have a right angled triangle with two sides known and one unknown, we can apply the Pythagoras theorem which states that
AC² = AB² + BC² where AC is the hypotenuse and AB and BC are the other two sides
In this question the hypotenuse is AB, so we now have;
AB² = AC² + CB²
AB² 24² + 10²
AB² = 576 + 100
AB² = 676
Add the square root sign to both sides of the equation
√AB² = √676
AB = 26
Therefore the length of the hypotenuse is 26 cm
