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kramer
3 years ago
8

Michael earns a base salary of $100.00 every week with an additional 9% commission on everything he sells. If Michael sold $4950

.00 worth of items last week, what was his total pay?
Mathematics
2 answers:
nevsk [136]3 years ago
7 0
Commission
4,950×0.09=445.5
Total pay
445.5+100=545.5
Alla [95]3 years ago
6 0
P(s)=100+9s/100

p(s)=(10000+9s)/100

p(4950)=(10000+9(4950))/100

p(4950)=$545.50
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1. A new brand of hot dog claims to have a lower sodium content than the leading brand.
kherson [118]

Answer:

(a) Population mean = 314.5mg

(b) Margin of error = 21.281mg

(c) No, 350mg is not a plausible value

The new brand of hot dog has a lower sodium content on average than the leading brand

(d) Yes

Step-by-step explanation:

(a) Population mean = (370+326+322+297+326+289+293+264+327+331)/10 = 3145/10 = 314.5mg

(b) Margin of error = t×sd/√n

sd = 29.73, n = 10, degree of freedom = n-1 = 10-1 = 9

Assuming 95% confidence level

t-value corresponding to 9 degrees of freedom and 95% confidence level is 2.262

Margin of error = 2.262×29.73/√10 = 21.281mg

(c) No

Lower limit of new brand = 314.5 - 21.281 = 293.219mg

Upper limit = 314.5 + 21.281 = 335.781mg

The range of sodium content for the new brand of hot dog is between 293.219mg and 335.781mg which is lower than the leading brand (350mg)

(d) Margin of error = t×sd/√n

From the formula above, margin of error varies inversely as the square root of sample size

The smaller the sample size (n = 10) the larger the margin of error and the less accurate is the population mean

The larger the sample size (n = 40) the smaller the margin of error and the more accurate is the population mean

8 0
3 years ago
7x-2=5x+14<br> X=?<br> (step by step needed)
prisoha [69]

Answer:

x = 8

Step-by-step explanation:

Step 1: Subtract 5x from both sides.

  • 7x-2-5x=5x+14-5x
  • 2x-2=14  

Step 2: Add 2 to both sides.

  • 2x-2+2=14+2
  • 2x=16

Step 3: Divide both sides by 2.

  • 2x/2=16/2
  • x=8

Step 4: Check if solution is correct.

  • 7(8)-2=5(8)+14
  • 56-2=40+14
  • 54=54

Therefore, x = 8.

8 0
2 years ago
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kipiarov [429]
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8 0
4 years ago
Read 2 more answers
11, 12, and 13 please help
castortr0y [4]

Answer:11 is q2 12 is 3/4

Step-by-step explanation:

5 0
3 years ago
Mike's car broke down 5 miles from the auto shop. If he can push his car 1,056 feet per hour, how many hours will it take him to
Alinara [238K]

Answer:

It'll take 25 hours to get to the auto shop

Step-by-step explanation:

Given

Distance = 5 miles

Speed =1056 feet per hour

Required

How long will it take to the auto shop

This can be solved using Speed's formula;

Speed = \frac{Distance}{Time}

Substitute values for Speed and Distance

\frac{1056 ft}{hr} = \frac{5 miles}{Time}

1 mile = 5280 feet;

So:

\frac{1056 ft}{hr} = \frac{5 * 5280 ft}{Time}

\frac{1056 ft}{hr} = \frac{26400ft}{Time}

Cross Multiply

Time * 1056ft = 26400ft * hr

Divide both sides by 1056ft

Time * \frac{1056ft}{1056ft} = \frac{26400ft * hr}{1056ft}

Time = \frac{26400ft * hr}{1056ft}

Time = 25hr

<em>Hence, it'll take 25 hours to get to the auto shop</em>

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3 years ago
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