Answer:
(a) 1/2
(b) 9/10
Step-by-step explanation:
Probability is given by number of possible outcomes ÷ number of total outcomes
(a) Number of possible outcomes = 5 questions, number of total outcomes = 10 questions
Probability (I answer all 5 problems correctly) = 5/10 = 1/2
(b) Probability (I answer at least 4 of the problems correctly) means I either answer 4 of the problems or all 5 problems correctly = 4/10 + 5/10 = 9/10
<em>∙•❁ </em>Okay time to solve this Step-By-Step.<em>❁•∙ </em>
16−<span>2n</span>−5+<span>8n</span>=<span>65
<em>∙•❁ </em>So the first part we need to Simplify both sides of this equation, so:
<span><span><span><span>16−<span>2n</span></span>−5</span>+<span>8n</span></span>=65
<em>∙•❁ </em>We are going to simplify this Step-By-Step.
<span><span><span><span>16−<span>2n</span></span>−5</span>+<span>8n</span></span>=65
</span><span><span><span><span><span><span>16+</span>−<span>2n</span></span>+</span>−5</span>+<span>8n</span></span>=65
<em>∙•❁ </em>Combine like terms:
</span><span><span><span><span>
(<span><span>−2n</span>+8n</span>)</span>+<span>(<span>16+−5</span>)</span></span>=65 </span>
<span><span>6n+11</span>=65
</span><span><span><span>6n</span>+11</span>=65
<em>∙•❁ </em>Now subtract 11 from both sides.
<span><span><span><span>6n</span>+11</span>−11</span>=<span>65−11
</span></span><span><span>6n</span>=54
<em>∙•❁ </em>Now divide both sides by 6 and you'll get your answer:
6n/6=54/6
<em>∙•❁ </em>Your final answer is:
n=9
<em>∙•❁I hope this helps!❁•∙ </em> </span></span></span></span></span>
Answer:
3 and 1
Step-by-step explanation:
They are the only numbers that could give the right answer.
Using it's concept, it is found that the probability that he winds up wearing the white shirt and tan pants is of 
.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
In this problem:
- For the shirt, there is 4 outcomes, hence the probability of the white shirt is 1/4.
- For the pair of pants, there are 2 outcomes, blue or tan, hence the probability of tan pants is 1/2.
Since the shirt and the pants are independent, the probability is given by:
.
More can be learned about probabilities at brainly.com/question/14398287
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