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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)

You might be interested in
A jewelry designer is making a pendant. The pendant will be a circular dis (center O) with a circular hold cut out of it, as sho
antoniya [11.8K]

Answer:

2884.8 millimeters squared

Step-by-step explanation:

Given:

The radius of the disc is 35 millimeters, so the area of it is:

πr^{2} = 3.14*35^{2} = 3846.5

Then, we find out the area of the circular hold cut out of the bigger one, its radius is a haft of the radius of the bigger circle = 35/2 = 17.5

πr^{2} = 3.14*17.5^{2} =961.6

=>  the area of the pendant = 3846.5  - 961.6  =2884.8 millimeters squared

6 0
3 years ago
Involves 6 suspects, 6 weapons and 9 rooms. one of each is randomly chosen and the object of the game is to guess the chosen thr
Tcecarenko [31]
Their would be 21 different solutions for this problem
7 0
3 years ago
How do I do this!!!!!
-BARSIC- [3]

Pyramid Surface Area = (½ * Perimeter of Base * Slant Height) + Base Area

Base perimeter = 4 * 18 = 72 inches
Base Area = 18*18 = 324 square inches

Pyramid Surface Area = (.5 * 72 * 12) + 324
Pyramid Surface Area = 432 + 324
Pyramid Surface Area = 756 square inches

Source:
http://www.1728.org/volpyrmd.htm



4 0
3 years ago
15o=210 What does O equal?
Anna71 [15]
O=210/15=14
I hope I was helpful
8 0
3 years ago
*WILL GIVE 15 POINTS PLEASE HELP* You want to put 2500 in a simple interest account. It has 4% annual interest rate. How long mu
Arisa [49]

just fyi, if you spend x points on question, each user gets x/2 points (rounded up or down, I don't remember)



simple interest formula is

I=PRT

I=interest

P=principal

R=rate in decimal

T=time in years



assuming you mean that the principal is $2500 and not 2500 cents or 2500 of some other currency

interest=500

R=4%=0.04

I=PRT

500=(2500)(0.04)(T)

500=100T

divide both sides by 100

5=T

answer is 5 years

C is answer

6 0
3 years ago
Read 2 more answers
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