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DaniilM [7]
4 years ago
8

Which of the following is the solution to the inequality below? 2x−4≤12

Mathematics
2 answers:
Afina-wow [57]4 years ago
8 0

Answer:

x   ≤ 8

Step-by-step explanation:

Given

2x - 4 ≤ 12

Isolate the term in x by adding 4 to both sides

2x ≤ 16 ( divide both sides by 2 )

x ≤ 8 ← is the solution

Aneli [31]4 years ago
4 0

Answer:

x= <8

hope this helps

Step-by-step explanation:

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A literature professor decides to give a 10-questiontrue-false quiz to determine who has read an as-signed novel. She wants to c
Darya [45]

Answer:

The teacher should set the score 7 as the lowest passing grade.

Step-by-step explanation:

Let <em>X</em> = number of correct guesses.

All the questions are of true-false format.

The probability of getting a correct answer is, <em>p</em> = 0.50.

The total number of questions is, <em>n</em> = 10.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 10 and <em>p </em>= 0.50.

The probability mass function of <em>X</em> is:

P(X=x)={10\chose x}0.50^{x}(1-0.50)^{10-x};\ x=0,1,2,3...

Now the teaches chose the grading scheme such that the probability of passing a student who guesses on every question is less than 0.05.

Then the probability of failing such a students is at least 1 - 0.05 = 0.95.

Compute the probability distribution of <em>X</em>.

Consider the probability distribution attached below.

The value of <em>x</em> for which P (X ≤ x) is at least 0.95 is, <em>x</em> = 7.

So the teacher should set the score 7 as the lowest passing grade.

7 0
3 years ago
A pizza chain wants to send codes for $2 off a large pizza to the subscribers of its e-mail list. Each coupon code will have thr
kati45 [8]

Answer:

438,012 ways.

Step-by-step explanation:

We have been given that each coupon code will have three letters followed by two digits. The letters M, N, and O and the digits 1, 3, 5, and 7 will not be used. So, there are 23 letters and 6 digits that will be used.

Since the letters and digits can be repeated, so we will use fundamental principal of counting.

For first place, we can use 23 letters, for 2nd and 3rd place we can use 23 letters.

We can use 6 digits for 1st digit place and 6 digit for 2nd digit place as repetition is allowed.

So we can choose coupon code is following ways:

23\cdot 23\cdot 23\cdot 6\cdot 6=438012

Therefore, we can choose coupon codes in 438,012 ways.

3 0
3 years ago
In 2005, an area vocational school had an enrollment of 325 men and 123 women. In 2006, there were 149 women. What was the perce
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The answer to this question mark will do it all in a few weeks to make it happen again this week at the end
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2 years ago
Write this as a power of 2. ex ( 2^n) requires knowledge of negative exponents
Snowcat [4.5K]

Answer:

<h3>22.627417</h3>

Step-by-step explanation:

\frac{32}{ \sqrt[8]{16} }  \\

Simplify

\frac{32}{1.414213562}  \\   \\ = 22.627417

Method 2 :

By rationalizing the denominator

7 0
3 years ago
What is the gcf for 84 and 54
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Your answer for the greatest common factor is 6
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3 years ago
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