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Natasha_Volkova [10]
3 years ago
15

An unprepared student makes random guesses for the ten​ true-false questions on a quiz. Find the probability that there is at le

ast one correct answer. Round to the nearest thousandth.
Mathematics
1 answer:
hoa [83]3 years ago
3 0

Answer:

0.999

Step-by-step explanation:

At least 1 correct means, 1 correct, 2 correct, 3 correct ... until 10 correct. That would be a long process to calculate.

<em>Instead we use the complement rule to calculate.</em>

<em>P(x\geq1)=1-P(x</em>

<em />

<em>So we need to find P(x<1). So this is getting 0 answers correct, or 10 incorrect.</em>

<em />

In true false question, probablity of correct is 1/2 and incorrect is 1/2, hence,

Probability of 10 incorrect is (1/2)^10

Thus,

P(x\geq1)=1-(\frac{1}{2})^{10}=0.999

So the answer is 0.999 (rounded to nearest thousandth)

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From an 8- foot board, a carpenter sawed off one piece that was 2 3/4 feet long and another piece that was 3 1/2 feet long. How
alexdok [17]

Answer:

1 3/4 or 1.75

Step-by-step explanation:

An easy way to do this is to convert to decimals

1/4 = 0.25

2/4 = 0.5

3/4 = 0.75

Now, for the numbers for this problem.

2 3/4 would be equal to 2.75

3 1/2 would be equal to 3.5

Add those two numbers together and you get 6.25

Subtract that from 8 and you get 1.75 or 1 3/4

3 0
3 years ago
At one farmer’s market, bananas cost $0. 80 per pound. At another farmer’s market, bananas are sold in 5-pound bags for $4. 50 p
Minchanka [31]

To find the better buy divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound.

<h3>What is cost price per pound?</h3>

The cost price per pound is the amount of money required to buy one pound of a brand or goods.

To find the cost price per pound, divide the total amount of cost of the goods to the total number of goods.

At one farmer’s market, bananas cost $0.80 per pound.

At another farmer’s market, bananas are sold in 5-pound bags for $4. 50 per bag. To compare it with first market price, divide the 5 pound bags with $4.50.

The cost of one bag in this market is,

C=\dfrac{4.50}{5}\\C=0.5625

As this cost is less, thus, the cost of this market for one banana is less than the first market and so this is the better buy.

Hence, to find the better buy divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound.

Learn more about the cost price per pound here;

brainly.com/question/20333618

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2 years ago
Give the coordinates of the image. ​
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The image represents what geometric construction? A) Copy a triangle construction B) Copy a segment construction C) Parallel lin
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Answer:

d perpendicular bisected and midpoint

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Please help! just tell me the letter answer please :(
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Hope this helps! :)

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