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GrogVix [38]
2 years ago
13

What is the solution to –4(8 – 3x) ≥ 6x – 8? x ≥ –4/3 x ≤ –4/3 x ≥ 4 x ≤ 4

Mathematics
2 answers:
horsena [70]2 years ago
8 0
-32 + 12x >= 6x - 8
-32 + 6x >= -8
6x >= 24
x >= 4
andrew11 [14]2 years ago
6 0
<span><span><span><span>6x</span>−32</span>+32</span>≥<span><span>−8</span>+32</span></span><span><span>6x</span>≥</span>24<span><span>6x</span>6</span>≥<span>24<span>6
=</span></span>x ≥ 4
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Probability extension: Jerry did only 5 problems of one assignment. What is the probability that the problems he did comprised t
zimovet [89]

Answer:

(b) 1/792

Step-by-step explanation:

The complete question is;

<em>Counting: Grading One professor grades homework by randomly choosing 5 out of 12 homework problems to grade.</em>

<em>(a) How many different groups of 5 problems can be chosen from the 12</em>

<em>problems?</em>

<em>(b)Probability extension: Jerry did only 5 problems of one assignment. What is the probability that the problems he did comprised the group that was selected to be graded?</em>

<u>In (a)</u>

<u></u>

Apply the formula

\frac{n!}{(n-r)!(r!)}

where n=12 and r=5

substitute values

=\frac{12!}{(12-5)!(5!)} \\\\\\=\frac{12!}{(7!)(5!)} \\\\\\=\frac{12*11*10*9*8}{5*4*3*2*1} \\\\\\=\frac{95040}{120} \\\\\\=792

In (b)

If Jerry did only 5 problems of one assignment then the probability  will be

\frac{5}{12} *\frac{4}{11} *\frac{3}{10} *\frac{2}{9} *\frac{1}{8} =\frac{1}{792}

<em />

<em />

4 0
2 years ago
Point P is at the origin. Then Point P is moved 4 units to the right and 5 units up.
taurus [48]

Answer:

Step-by-step explanation:

The origin (x,y) is (0,0)

If its moved four units right you must add 4 to the x coordinate giving you (4,0)

Then it is moved up by 5, so you must add 5 to the y coordinate giving you

(4,5)

8 0
2 years ago
Read 2 more answers
In circle C, SQ = 10 cm.
ale4655 [162]

Answer:

1-Arc PQ is congruent to arc SR.

2-The measure of arc QR is 150°.

4-Arc PS measures about 13.1 cm.

5-Arc QS measures about 15.7 cm

Step-by-step explanation:

1,2,4,5

5 0
2 years ago
Read 2 more answers
What is the 185th digit in the following pattern 12345678910111213141516...?
Natalka [10]
1-9  = 9 digits
10-99 = 180 digits
So if we continue the pattern to 99, there are 189 digits, and the last 5 digits would be 79899.  Counting backwards: 189th = 9, 188th = 9, 187th = 8, 186th = 9, 185th = 7.

The 185th digit is 7.

4 0
2 years ago
The ballpark made a total of $15,000 from ticket sales at Wednesday's game. The ballpark charges $20 for each adult ticket and $
IRISSAK [1]
<h3>Answer:</h3>

equations

  • 20a +10c = 15000
  • c = 3a

solution

  • 300 adult
  • 900 children's
<h3>Step-by-step explanation:</h3>

Let "a" and "c" represent the numbers of adult and children's tickets sold, respectively. The problem statement tells us two relationships between these values:

... 20a +10c = 15000 . . . . . . total revenue from ticket sales

... c = 3a . . . . . . . . . . . . . . . . relationship between numbers of tickets sold

Using the expression for c, we can substitute into the first equation to get ...

... 20a +10(3a) = 15000

... 50a = 15000

... a = 15000/50 = 300 . . . . . adult tickets sold

... c = 3·300 = 900 . . . . . children's tickets sold

8 0
2 years ago
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