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Arada [10]
3 years ago
7

Expand and simple 3(x-3) - (x-4)​

Mathematics
2 answers:
nydimaria [60]3 years ago
5 0

Answer:

Distribute the 3 to the parenthesis, and the -1 to the parenthesis.

This will result to:

3x-9-x+4

2x-5

pantera1 [17]3 years ago
4 0
3(x-3) - (x-4)
3x-3 -1(x-4)
3x-3-1x+4
2x+1
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In a random sample of 500 handwritten zip code digits, 464 were read correctly by an optical character recognition (OCR) system
In-s [12.5K]

Answer:

z= 2.38

P = 0.008656

Step-by-step explanation:

Here n= 500 and p~= 464/500= 0.928 and q`= 1- 0.928 = 0.072

We formulate our null and alternate hypothesis as

H0 =  0.9 ;       H0 > 0.9

The degree of confidence = 90%

z₀.₀₅ = 1.645 for  α= 0.05

We use the test statistic

z=  x- np/√npq

z= 466-500 *0.9/ √500 * 0.9(1-0.9)

z= 466- 450/ √45

z= 16/6.7082

z= 2.38

As the calculated value of z= 2.38  is greater than α =1.645 so we reject H0.

If H0 is true the P value is calculated as

P = 1- Ф( 2.38)

P = 1-0.991344=0.008656

7 0
4 years ago
Niklas takes a dose of 25 micrograms of a certain supplement each day. The supplement has a half life of 4 hours, meaning that 1
MrRa [10]

Answer:

The amount of the supplement in Niklas' body immediately after the 12th dose is 4.30 micrograms.

Step-by-step explanation:

Half life is the time required for an element to decay into half of its initial size. The supplement has a half life of 4 hours means that it decay to half of its size every 4 hours. Therefore there are 6 stages of division in a day.

i.e     \frac{1}{2} × \frac{1}{2} × \frac{1}{2} × \frac{1}{2} × \frac{1}{2} × \frac{1}{2} =  \frac{1}{64}

The amount of the supplement in Niklas' body after the first dose (first day) can be determined by;

                   = \frac{1}{64} × 25

                  = 0.390625 micrograms

He used the supplement daily for 12 days (12th dose), but the amount of the supplement in his body immediately after the 12th dose would be;

                 amount in his body per day × number of period for complete decay

                   = 0.390625 × 11

                  = 4.296875

The amount of the supplement in Niklas' body immediately after the 12th dose is 4.30 micrograms. This is because immediately after the 12th dose, the supplement has not reach its half life.

3 0
3 years ago
2. The pair of numbers used to locate points on a grid is<br> an
NeX [460]

how dI I exit out of thiss

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2 years ago
A car travels at an average speed of 56 miles per hour. how many miles does it travel in 5 hours and 45 minutes?
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330 miles are driven in 5 hrs and 45min at a speed limit of 56mph
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vampirchik [111]

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Step-by-step explanation:

point slope

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