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Tcecarenko [31]
4 years ago
6

The salary at Beth’s company is $32,000 for someone with no experience and increases by $2700 per year of experience. Write a ru

le for the salaries for the employees with 0, 2, 5, and 7 years of experience.

Mathematics
1 answer:
AlekseyPX4 years ago
5 0

Answer:

In general, the salary S in terms of years of experience Y is S = 2700Y + 3200

Step-by-step explanation:

we start at 32000 without experience.

as the experience goes up, the wage increases 2700 per year so we can multiply 2700 by the years of experience to find the increase of salary. To find the salary of a certain employee with a certain amount of experience, plug the years of experience in for Y and solve.

for Y=0

S= 2700(0) + 3200 = 0 + 3200 = 0

for Y=2

S= 2700(2) + 3200 = 5400 + 3200 = 8600

for Y=5

S= 2700(5) + 3200 = 13500 + 3200 = 16700

for Y=7

S=2700(7) + 3200 = 2700(5) + 2700(2) + 3200 = 5400 + 13500 + 3200 = 22100

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Franky's age is 5 years less that 1/2 his mothers age. If Franky is 13 years old,write an equation to determine his mothers age
Alik [6]

Answer:

1/2x-5=13

Step-by-step explanation:

Let x= Frankie’s mother’s age

Half his mother’s age= 1/2x

5 less than that=1/2x-5

We know that Frankie is 13 so that equation is equal to Frankie’s age, which is 13.

Hope this helps.

4 0
3 years ago
According to a study done by a university​ student, the probability a randomly selected individual will not cover his or her mou
VikaD [51]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

 P(X = 8) =  0.0037

b

 P(X <  5) =  0.805

c

 P(X > 6) =  0.0206

I would be surprised because the value is very small , less the 0.05

Step-by-step explanation:

From the question we are told that

The probability a randomly selected individual will not cover his or her mouth when sneezing is p = 0.267

Generally data collected from this study follows  binomial  distribution because the number of trials is  finite , there are only two outcomes, (covering  , and  not covering mouth when sneezing ) , the trial are independent

Hence for a randomly selected variable  X we have that  

   X \ \ \~ \ \ { B ( p , n )}

The probability distribution function for binomial  distribution is  

    P(X = x ) =  ^nC_x *  p^x *  (1 -p) ^{n-x}

Considering question a

Generally the  the probability that among 12 randomly observed individuals exactly 8 do not cover their mouth when​ sneezing is mathematically represented as

     P(X = 8) =  ^{12} C_8 *  (0.267)^8 *  (1- 0.267)^{12-8}

Here C denotes  combination

So

     P(X = 8) =  495  *  0.000025828 * 0.28867947

    P(X = 8) =  0.0037

Considering question b

Generally the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when​ sneezing is mathematically represented as

     P(X <  5 ) =[P(X = 0 ) + \cdots + P(X = 4)]

=>   P(X <  5 ) =[ ^{12} C_0 *  (0.267)^0 *  (1- 0.267)^{12-0} + \cdots +  ^{12} C_4 *  (0.267)^4 *  (1- 0.267)^{12-4} ]

=> P(X <  5 )  =  0.02406 +  0.10516 + 0.21067 + 0.25580 + 0.20964

=>  P(X <  5) =  0.805

Considering question c

Generally the probability that fewer than half(6) covered their mouth when​ sneezing(i.e the probability the greater than half do not cover their mouth when sneezing) is mathematically represented as

      P(X > 6) =  1 - p(X \le  6)

=>    P(X > 6) = 1 - [P(X = 0) + \cdots + P(X =6)]

=>    P(X > 6)=1 - [^{12} C_0 *  (0.267)^0 *  (1- 0.267)^{12-0}+ \cdots + ^{12} C_4 *  (0.267)^6 *  (1- 0.267)^{12-6} ]

=>    P(X > 6)= 1 - [0.02406 + \cdots + 0.0519 ]  

=>    P(X > 6) =  0.0206

I would be surprised because the value is very small , less the 0.05

8 0
3 years ago
Y=1/2x+-4<br> Please answer
professor190 [17]
Put one dot on (0,-2) , (4,0), (-4,-4) connect the dots that is your graph line.

Slope is 1/2 and you is -4
6 0
4 years ago
Read 2 more answers
Pls I need an answer as quick as possible
brilliants [131]
C. because her distance from home is decreasing
4 0
3 years ago
You and your friend are selling your old CDs. Your friend sells 14 the first day, and x the next day. You sell y the first day a
Deffense [45]

Answer: 30+x+y

Step-by-step explanation:

  • Commutative Property of Addition : a+b= b+a , where a and b are any arbitrary numbers.

Given : Number of CDs sold by friend on first day = 14

Number of CDs sold by friend on next day = x

Total CDs sold by friend  = 14 +x

Number of CDs sold by you on first day = 16

Number of CDs sold by you on next day = y

Total CDs sold by you  = 16+y

The expression that shows the total number of CDs sold both days =

Total CDs sold by friend  + Total CDs sold by you

=  14 +x+ 16+y

= 14 +(x+ 16)+y

= 14 +(16+x)+y   [By Commutative Property of Addition.]

= 14+16+x+y

= 30+x+y

Hence, the expression that shows the total number of CDs sold both days :

30+x+y

6 0
3 years ago
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