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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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Solve the equation 5y-6=10
BaLLatris [955]

Answer:

y = 3.2

Step-by-step explanation:

Simplifying

5y + -6 = 10

Reorder the terms:

-6 + 5y = 10

Solving

-6 + 5y = 10

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '6' to each side of the equation.

-6 + 6 + 5y = 10 + 6

Combine like terms: -6 + 6 = 0

0 + 5y = 10 + 6

5y = 10 + 6

Combine like terms: 10 + 6 = 16

5y = 16

Divide each side by '5'.

y = 3.2

Simplifying

y = 3.2

8 0
2 years ago
Read 2 more answers
1. Solve 4x + 5 &gt; 5x – 2 for x.
Zigmanuir [339]
The answer should be X < 3 !

Explanation:

You first minus 5 to the other side which gave you -3 . Then you minus the 5x to the other side which gave you -1. After than just need to divide -1 to both side, switch the > and you’ll get the answer! Hope the explanation makes sense.
7 0
3 years ago
Read 2 more answers
What's is the slope of this line?<br>Need this ASAP​
Basile [38]

Answer:

\displaystyle m=2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

Reading a Cartesian Plane

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Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point (0, 3)

Point (1, 5)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute in points [Slope Formula]:                                                             \displaystyle m=\frac{5-3}{1-0}
  2. [Slope] Subtract:                                                                                              \displaystyle m=\frac{2}{1}
  3. [Slope] Divide:                                                                                                  \displaystyle m=2
5 0
3 years ago
Four hundred people were asked whether gun laws should be more stringent. three hundred said "yes," and 100 said "no." the point
Anna11 [10]
To find relative frequency of no voters; 

p(A)=favourable outcomes/total outcomes 

p(A)=100/400 

= 1/4 or 0.25 

Therefore, the probability a person will respond with a no is 0.25.

Hope I helped :)
8 0
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ivanzaharov [21]

Answer:

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Step-by-step explanation:

If you reduce the fraction your left with just 7

7 0
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