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Morgarella [4.7K]
3 years ago
9

Assume that random guesses are made for seven multiple choice questions on an SAT​ test, so that there are n=7 ​trials, each wit

h probability of success​ (correct) given by p= 0.2. Find the indicated probability for the number of correct answers.
Find the probability that the number x of correct answers is fewer than 4.
Mathematics
1 answer:
Nezavi [6.7K]3 years ago
7 0

Answer:

Step-by-step explanation:

Let x be a random variable representing the number of guesses made for the sat questions.

Since the probability of getting the correct answer to a question is fixed for any number of trials and the outcome is either getting it correctly or not, then it is a binomial distribution. The probability of success, p = 0.2

Probability of failure, q = 1 - p = 1 - 0.2 = 0.8

the probability that the number x of correct answers is fewer than 4 is expressed as

P(x < 4)

From the binomial distribution calculator,

P(x < 4) = 0.97

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Alexander is a stockbroker. He earns 14% commission each week. Last week, he sold $6,400 worth of stocks. How much did he make l
erastova [34]

Answer:

In that one week, his commision was $896, over all 52 weeks, he made $46592

Step-by-step explanation:

Need help calculating that? Let me help you. Grab a calculator!

So, he makes 14% commision on any stock he sells. This week, he sold $6,400 worth of stocks, and, hes going to make 14% on it. So, take 6400 and divide that by 14%, and what do you get? $896! So, he made $896 that week. Now, say he made that amount EVERY WEEK. so, all you have to do is know how many weeks are in a year (52) and multiply that by 896, which gives you 46592.

Hope this helped, and brainliest would be amazing ❤️ please let me know if you need anymore help. im happy to help.

4 0
3 years ago
A student correctly write 0.15 as a percent. Of the student writes the answer in the form x % , what is the value of x
Fynjy0 [20]

Answer:

The answer should be 15%

Step-by-step explanation:

8 0
3 years ago
Find the value of x, y, and z in the figure below:<br> ہ<br> 2y<br> IN<br> 2x<br> 90°<br> t
natima [27]

Answer:

x=30°

y=15°

z=150°

Step-by-step explanation:

2x+90+x=180°

2x=180°-90°

x=90/3

x=30

2y=x

y= 30/2

y=15°

2y°+z°=180°

2(15°)+z°=180°

z=180°-30°

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Hope it helps! :)

6 0
2 years ago
During 2002, the average person ate 200.8 pounds of meat. How much meat does a family of 3 people eat in year?
dem82 [27]
Hi there! An average person ate 200.8 pounds of meat, so we would multiply that number by 3 to see how much meat the family ate altogether. 200.8 * 3 is 602.4. There. A family of 3 would eat 602.4 pounds of meat in a year.
4 0
3 years ago
Read 2 more answers
Miles and Lucy decide to sell lemonade to earn some money. They buy pitchers, ice, and mix for a cost of $13.50. The mix makes 8
sleet_krkn [62]

Answer:

Altogether they made $24 which is enough to earn $12 each

Step-by-step explanation:

Important information:

1 cup: $0.75

4 cups = 1 quart

8 quarts of lemonade altogether

If we are looking to solve for the revenue earned based on quarts, we must first solve for how much money they make on 1 quart

Since 1 cup sells for $0.75 and 4 cups makes up a quart, we must multiply

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They make $3 per 1 quart

We are looking for the amount for 8 quarts though, not just 1. Again we must multiply

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They will make $24 if they sell all 8 quarts

The questions ask if they will <em>each</em> earn $12

Since there are two of them, Miles and Lucy, we must divide revenue earned by 2, the number of people

24 ÷ 2 = 12

$12

3 0
2 years ago
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