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Jobisdone [24]
3 years ago
5

Please helpppp what is the solution to this: 8 < 3x - 1 < 17

Mathematics
2 answers:
Angelina_Jolie [31]3 years ago
6 0

Answer:

x=(3,6)

Step-by-step explanation:

3x-1>8 and 3x-1<17

3x>9           3x<18

x=3               x=6

prohojiy [21]3 years ago
3 0

Answer:

3 < x < 6

Step-by-step explanation:

8 < 3x - 1 < 17

Add 1 to all sides

8+1 < 3x - 1+1 < 17+1

9 < 3x  < 18

Divide all sides by 3

9/3 < 3x/3  < 18/3

3 < x < 6

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What are the advantages of being paid a salary instead of an hourly rate? What are the disadvantages of being paid a salary inst
Licemer1 [7]

the advantages of being paid salary is u get it even if u work 1 hour and the disadvantage of getting paid hourly is u have to work for along time

8 0
3 years ago
An Airliner has a capacity for 300 passengers. If the company overbook a flight with 320 passengers, What is the probability tha
TEA [102]

Answer:

The probability is   P(X  >300 ) = 0.97219

Step-by-step explanation:

From the question we are told that

 The capacity of  an Airliner  is  k =  300 passengers

 The sample size n =  320 passengers

  The probability the a randomly selected passenger shows up on to the airport

    p = 0.96

Generally the mean is mathematically represented as

    \mu  =  n*  p

  => \mu  =  320 *  0.96

    => \mu  = 307.2

Generally the standard deviation is  

    \sigma =  \sqrt{n *  p *  (1 -p ) }

=>  \sigma =  \sqrt{320  *  0.96 *  (1 -0.96 ) }

=> \sigma =3.50

Applying Normal approximation of binomial distribution

Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as

  P(X  > k ) =  P( \frac{ X -\mu }{\sigma }  >  \frac{k - \mu}{\sigma } )

Here \frac{ X -\mu }{\sigma }  =Z (The \ standardized \  value \  of  \ X )

=>P(X  >300 ) =  P(Z >  \frac{300 - 307.2}{3.50} )

Now applying  continuity correction we have

    P(X  >300 ) =  P(Z >  \frac{[300+0.5] - 307.2}{3.50} )    

=>    P(X  >300 ) =  P(Z >  \frac{[300.5] - 307.2}{3.50} )

=>    P(X  >300 ) =  P(Z >  -1.914 )

From the z-table  

    P(Z >  -1.914 ) =  0.97219

So

    P(X  >300 ) = 0.97219

8 0
3 years ago
Ari thinks the perfect milkshake has 333 spoonfuls of caramel for every 555 scoops of ice cream. Freeze Zone makes batches of mi
Travka [436]

Answer:

She wont think it is perfect

Step-by-step explanation:

The ratio of Ari's perfect ice cream is

333 caramel : 555 scoops

Freeze zone ratio is

666:888

Not proportional because you multiply 333 x 2 to get 666, but when you multiply 555 x 2 you wont get 888.

And tell her to cut down on the sugar.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

5 0
3 years ago
I'm not sure what AAS,SAS,SSS,ASA mean .how do I solve this?​
notka56 [123]

Answer:

AAS is an acronym for Angle-Angle-Side. It basically means that if two angles and a nonincluded side of one triangle are congruent to two  angles and the corresponding nonincluded side of a second triangle, then  the two triangles are congruent. SAS is an acronym for Side-Angle-Side. It means that if two sides and the included angle of one triangle are congruent to two  sides and the included angle of a second triangle, then the two triangles  are congruent. SSS is an acronym for Side-Side-Side. It means that if three sides of one triangle are congruent to three sides of a second  triangle, then the two triangles are congruent. ASA is an acronym for Angle-Side-Angle. It means that if two angles and the included side of one triangle are congruent to two  angles and the included side of a second triangle, then the two triangles  are congruent.

In the problem, we know that the corresponding sides of both triangles are congruent to each other, so those would be given. The third side of each triangle would also be congruent because of reflexive property. Reflexive property means that the two triangles share a line segment. So, the answer would be SSS.

8 0
3 years ago
In The cafeteria, 100 milk cartons were put out for breakfast. At the end of breakfast, 27 remained. What is the ratio
riadik2000 [5.3K]
Number of milk cartons put out for breakfast = 100

Number of cartons remaining at the end = 27

Number of cartons consumed = 100 - 27 = 73

Ratio of cartons remaining / cartons consumed = 27/73
7 0
3 years ago
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