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allochka39001 [22]
3 years ago
6

Use the inequality to answer Parts 1-3.

Mathematics
1 answer:
Vlada [557]3 years ago
5 0

Answer:

1. Incomplete

2. 8≥ 3 x + 5

⇒8-5≥3 x

⇒ 3 ≥ 3 x

Dividing both sides by 3

1≤ x or x ≥ 1 is the solution of above inequality.i.e x∈[1,0).

The solution of the above inequality is that x lies in the interval from 0 to 1 represented as 0≤x<1.

3.  -2 x + 3 > 3(2 x - 1)

⇒ -2 x + 3> 3× 2 x - 3× 1 ⇒ [using distributive property which is a(b+c)=a×b + a× c]

⇒-2 x - 6 x > -3-3 →[ Bringing like terms together]

⇒ - 8 x > -6

Cancelling negative sign from both sides

if ,-a>-b, then a<b.

⇒8 x< 6

⇒x<6/8

⇒x<3/4

x∈(-∞,3/4)

The solution of the above inequality is x should be less than three by four.



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Answer:

15.87% is the chance that Scott takes more than 4.25 minutes to solve a problem at an academic bowl.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 4 minutes

Standard Deviation, σ = 0.25 minutes

We standardize the given data.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(more than 4.25 minutes to solve a problem)

P( x > 4.25) = P( z > \displaystyle\frac{4.25 - 4}{0.25}) = P(z > 1)

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Calculation the value from standard normal z table, we have,  

P(x > 4.25) = 1 - 0.8413 = 0.1587 = 15.87\%

Thus,15.87% is the chance that Scott takes more than 4.25 minutes to solve a problem at an academic bowl.

8 0
3 years ago
On Monday 4 bricklayers took 3 hours to lay a total of 4200 bricks.
lisabon 2012 [21]
<h2>Hello!</h2>

The answer is:

It will take 4.5 hours for two bricklayers to lay a total of 3150 bricks.

<h2>Why?</h2>

From the statement, we know that on Monday, bricklayers took 3 hours to lay a total of 4200 bricks.

So, we have that the rate of the four bricklayers is given by the following equation:

Production=Rate*Time\\\\Rate=\frac{Production}{time}

Rate=\frac{4200bricks}{3hours}=\frac{1400bricks}{hour}

Therefore, we have that the rate of the four bricklayers is 1400 bricks per hour, meaning that each bricklayer can lay 350 bricks per hour.

Now, to calculate how many hours it will take to the 2 bricklayers to lay a total of 3150, we need to divide the calculated rate (for bricklayers) by two, since there are only 2 bricklayers working on Tuesday.

So, calculating the time, we have:

Production=\frac{Rate}{2}*Time

3150bricks=\frac{\frac{1400bricks}{hour}}{2}*Time

3150bricks*2*\frac{1hour}{1400bricks}=Time

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Time=4.5hours

Hence, we have that it will take 4.5 hours for two bricklayers to lay a total of 3150 bricks.

Have a nice day!

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Answer:

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Step-by-step explanation:

7/55 or 12.727272727273%

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