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choli [55]
2 years ago
11

Emily was offered a job after college earning a salary of $35,000. She will get a raise

Mathematics
1 answer:
Svetlanka [38]2 years ago
3 0

Answer:

Step-by-step explanation:

Salary offered to Emily after college = $35000

Rise in her salary = $2000 every year

Let she works for x years in the company,

Salary rise in her salary = $2000x

Total salary after x years = $(35000 + 2000x)

The independent variable x represents NUMBER OF YEARS and dependent variable is the TOTAL SALARY,because the SALARY depends on the NUMBER OF YEARS WORKED.

A function these variables is C(x) = 35000 + 2000x

So, C(4) = 35000 + 2000(4) = 43000, meaning 4 years later Emily will earn a salary $43000.

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The average amount of money spent for lunch per person in the college cafeteria is $6.35 and the standard deviation is $2.31. Su
alexdok [17]

Answer:

(6.35, 5.34)

(6.35, 0.99)

0.10253

0.3984

Step-by-step explanation:

Given that :

μ = 6.35

σ = 2.31

n = 41

What is the distribution of X?X ~ N(,)

X :

Mean of distribution = μ= 6.35

The variance = σ^2 = 2.31^2 = 5.3361 = 5.34

X ~ N = (6.35, 5.34)

What is the distribution of x¯? x¯ ~ N(,)

The mean = μ = 6.35

The standard deviation of the mean = σ/sqrt(n) = 6.35/sqrt(41) = 0.9917 = 0.99

X ~N = (6.35, 0.99)

find the probability that this patron's lunch cost is between $6.1605 and $6.757.

P(6.1605 < x < 6.757)

Obtain the standardized scores:

Z = (x - μ) / σ ; (6.1605 - 6.35) / 2.31 = - 0.082

P(Z < - 0.082) = 0.46732 (Z probability calculator)

(6.757 - 6.35) / 2.31 = 0.176

P(Z < 0.176) = 0.56985 (Z probability calculator)

P(Z < 0.176) -P(Z < - 0.082)

0.56985 - 0.46732 = 0.10253

For the group of 17 patrons, find the probability that the average lunch cost is between $6.1605 and $6.757.

P(6.1605 < x < 6.757) ; n = 17

Obtain the standardized scores:

Z = (x - μ) / σ/sqrt(n) ; (6.1605 - 6.35) / 2.31/sqrt(17) = - 0.338

P(Z < - 0.338) = 0.36768 (Z probability calculator)

(6.757 - 6.35) / 2.31/sqrt(17) = 0.726

P(Z < 0.726) = 0.76608 (Z probability calculator)

P(Z < 0.726) -P(Z < - 0.338)

0.76608 - 0.36768 = 0.3984

8 0
3 years ago
ASAP! Eliana works at socks r us. Yesterday she sold 62 pairs of sucks. Her boss told her if she can sell 20% more pairs of sock
Dmitry_Shevchenko [17]

Answer:

12.40

Step-by-step explanation:

60(.20)


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3 years ago
1.7 yard long and 14/5 yard long which one longer
lora16 [44]
14/5 = 2.8 yds

14/5 yds is longer then 1.7 yds
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Jacob bought a magazine for $2.80 and three candy bars. Write an expression for how much Jacob paid.
harkovskaia [24]

Answer:

total = 2.8 + 3x

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4 0
2 years ago
6.24 x 10-5 - 4.091 x 103 =
castortr0y [4]
Is the 10 taking away 5 or was it meant to me 10.5 ?
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