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lorasvet [3.4K]
3 years ago
9

Erin has scanned a 4 × 5-inch postcard, and she wants to reduce it to make a graphic for her Web site. She will use a scale fact

or of 1 in. = 2 cm.
Mathematics
1 answer:
kifflom [539]3 years ago
3 0
Since im lazy im not going to do the work. an inch = 2.57 centimeters. so you have 1 inch - 2 centimeters yes? multiply it by two, and then multiply the inches. The answer would be <span>2 cm × 3 cm. Hope I helped.</span>
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A person's metabolic rate is the rate at which the body consumes energy. Metabolic rate is important in studies of weight gain,
cupoosta [38]

Let m be mean

Mean= sum/ n

Mean= (1720+1687+1367+1614+1460+1867+1436) / 7

m= 11151 / 7

M= 1593

Mean= 1593

Standard deviation

|x-m|^2

For 1st: |1720-1593|^2=8836

For 2nd: |1687-1593|^2=10201

For 3rd: |1367-1593|^2=51076

For 4th: |1614-1593|^2=441

For 5th: |1460-1593|^2=1689

For 6th: |1867-1593|^2=75076

For 7th: |1436-1593|^2=24649

Summation of |x-m|^2 = 171968

Standard deviation sample formula is:

S.D = sqrt((summation of |x-m|^2) / n-1)

S.D=sqrt(171968/6)

S.D=sqrt(28661.33)

S.D=169.30

Standard deviation is 169.30

3 0
3 years ago
A rectangle with vertices located at (1,2), (1,5), (3,5), and (3,2) is stretched horizontally by a factor of 3 with respect to t
Vika [28.1K]

Answer:

  18 square units

Step-by-step explanation:

The given rectangle has an x-dimension of 3-1 = 2, and a y-dimension of 5-2 = 3. Stretching the x-dimension by a factor of 3 will multiply it to ...

  2×3 = 6

and give you a rectangle 6 units wide by 3 units high. Its area will be ...

  (6 units)(3 units) = 18 units²

5 0
3 years ago
Subtract x^2-6x+4 from 2x^2+4x-8
Rasek [7]
2X^2+4X-8-X^2+6X-4
X^2+4X-8+6X-4
X^2+10X-12
3 0
1 year ago
The profits of a company are found by subtracting the company's costs from its revenue. If a company's cost can be modeled by 14
evablogger [386]

Answer:

-0.0002x^2 +26x-120000

Step-by-step explanation:

The correct question should be:

We have been told that all we have to do to get profit is to subtract the cost from revenue.

Revenue = 40x - 0.0002x^2

Cost <em>= </em>14x + 120,000<em />

<em />

Hence:

Profit = 40x - 0.0002x^2 - (14x + 120000)

40x - 0.0002x^2 - 14x - 120000\\\\40x - 14x - 0.0002x^2 - 120000\\\\26x - 0.0002x^2 - 120000

Putting it in ordered form:

-0.0002x^2 +26x-120000

This is an expression for the profit.

4 0
3 years ago
Voltage sags and swells. The power quality of a transformer is measured by the quality of the voltage. Two causes of poor power
zysi [14]

Answer:

a

 z-score = 1.57

b

 z-score_s = -3.36

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  103  

    The  sample mean of  sag is  \= x_1 =  353

     The sample mean of swells is  \= x_2 =  184

    The standard deviation of  sag is  s_1  =  30

     The standard deviation of swells is  s_2  =  25

     The number of swell for a randomly selected transformer is  k  =  100

      The number of sag for a randomly selected transformer is  c  =  400

Generally the z-score for the number of swells is mathematically represented as

     z-score_s = \frac{ k - \= x_2}{s_2}

=>   z-score_s = \frac{ 100- 184}{25}

=>     z-score_s = -3.36

       

Generally the z-score for the number of sags is mathematically represented as    

      z-score = \frac{ c - \= x_1}{s_1}

     z-score = \frac{ 400 - 353}{30}

     z-score = 1.57

4 0
3 years ago
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