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Alenkasestr [34]
3 years ago
6

2(x + 3) ≥ 5x-6 what is x​

Mathematics
1 answer:
iren2701 [21]3 years ago
3 0

Answer:

4

Step-by-step explanation:

2 (x +3) ≥ 5x - 6

2x + 6 ≥ 5x - 6

6 ≥ 3x - 6

12 ≥ 3x

\frac{12}{3} = 4

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If you roll a die 100 times, what is the approximate probability that you will roll between 9 and 16 ones, inclusive? (Round you
Ann [662]

Answer: 0.47

Step-by-step explanation:

Given that

n = 100, probability of rolling 1 = 1/6

binomial approximation

np = 100 ( 1/6) = 16.667

standard deviation = √ 100 × 1/6 ×5/6 = 3.7627

P ( 9 ≤ X ≤ 16 )

= P ( 8.5 < X < 16.5 )

so,

= P ((8.5 - 16.6667) / 3.7627 < Z < (16.5 - 16.6667) / 3.7627

= P ( -2.17 < Z < -0.04 )

= 0.484 - 0.015

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Therefore the approximate probability that you will roll between 9 and 16 ones is 0.47

4 0
4 years ago
Huckleberries cost $5 a peck, whereas whortleberries cost $13 a peck. Hortense spent $109 for a total of 9 pecks. How many peck
hodyreva [135]
For starters, you should start by finding somewhere to go off of.  For instance, I started with 5 pecks of whortleberries and 4 pecks of huckleberries. This game me $69 of whortleberries and $20 of huckleberries, $89 in total. This tells me I need to go up. By going steadily upwards, I'll eventually settle on 8 whortleberry pecks and 1 huckleberry peck. This is $104  and $5, which, when added together, equals $109.

Answer: 8 Whortleberry Pecks, 1 Huckleberry Peck
3 0
3 years ago
Find the surface area.
Dmitrij [34]

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Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Which of the following expressions is equivalent to 24p - 18?
Vlad1618 [11]

Find the GCF (Greatest Common Factor)

GCF = 6

Factor out the GCF (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

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6(4p - 3)

<u>Answer: D. 6(4p - 3) </u>

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3 years ago
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Jay owns some DVDs. Lamar lives next to Jay and three houses from Freda. Lamar has 2 fewer DVDs than Jay. Davina lives on the ot
podryga [215]

Answer:

  6

Step-by-step explanation:

Freda lives in house 6. Lamar lives 3 houses from Freda, so lives in house 3. Jay lives next to Lamar, but not in house 2, which is Bart's. So, Jay lives in house 4 and Davina lives in house 5, on the other side of Jay from Lamar.

Davina lives in house 5, so has the most DVDs.

__

Since Freda gave p DVDs to Jay, she has 17-p. Lamar has p-2, Bart has p+4, Tara has 4p-13, and Davina has the most at 3(p-2).

We want Davina to have the most DVDs, so there are some inequalities that must be true:

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The only value of p satisfying both of these requirements is p = 6.

_____

Tara lives in house 1 and has 11 DVDs.

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Lamar lives in house 3 and has 4 DVDs.

Jay lives in house 4 and has 6 DVDs.

Davina lives in house 5 and has 12 DVDs. (the most)

Freda lives in house 6 and has 11 DVDs.

5 0
3 years ago
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