Answer:
a) There are 9 outcomes.
b) **i have attached the tree diagram**
c) 1/9
d) 1/9
Step-by-step explanation:
Both events (choosing a shirt and choosing pants) are not mutually exclusive (disjoint). Meaning that both events can occur at the same time.
a) For a sequence of two events in which the first event can occur <em>m</em> ways and the second event can occur <em>n</em> ways, the events together can occur a total of <em>m</em> • <em>n</em> ways. So for this problem, you would do 3 • 3 which equals 9.
b) **tree diagram is attached**
c) Because there are two different events occurring (choosing a shirt and choosing pants) you need to multiply using the Multiplication Rule for Independent Events : P(A and B) = P(A) * P(B)
The probability of event A occurring (choosing a red shirt) is 1/3 and the probability of event B occurring (choosing brown pants) is also 1/3.
1/3 * 1/3 = 1/9
d) You would do the same thing here as part c.
The probability of event A occurring (choosing a blue shirt) is 1/3 and the probability of event B occurring (choosing blue pants) is again 1/3.
1/3 * 1/3 = 1/9
I hope this was helpful!! :)
Money spent at grocery store = x, money spent at game store = y
x = 24
x = 2y - 6
24 = 2y - 6
24 + 6 = 2y
30 = 2y
30/2 = y
15 = y <=== spent 15 at game store
Answer: The speed of the motorboat is 70 miles per hour
Step-by-step explanation: Subtract the initial distance, 35, from the distance at any given time, then divide the remainder by the hours.
For example, at 2 hours, the distance shown on the graph is 175 miles
Subtract: 175 -35 = 140. Then divide 140/2 = 70
At 4 hours, the distance shown is 315 miles.
Subtract: 315 - 35 = 280. Then divide 280/4 = 70
70 mph is the speed.
The answer is: " 27 " .
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3⁵ / 3² = 3⁽⁵⁻²⁾ = 3³ = 3 * 3 * 3 = 9 * 3 = 27 .
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-Edit -- Note the following property of exponents : "quotient rule" of exponents:
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Given that "a" and "b" are positive integers; and that "x" is a real number greater than "zero";
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If a <span>≥ b , then:
x</span>ᵃ /xᵇ = x⁽ᵃ ⁻ ᵇ⁾ ;
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If a <span>< b , then:
</span>
xᵃ /xᵇ = x⁽ᵇ ⁻ ᵃ⁾
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b ≈ 9.1 ( to 1 dec. place )
Since triangle ABC is right use the tangent trig. ratio to find b
tan33° = 
= 
multiply both sides by 14
b = 14 × tan33° ≈ 9.1 ( to 1 dec. place )
