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Studentka2010
9 days ago
7

Suppose a man's scalp hair grows at a rate of 0.35mm per day. What is this growth rate in feet per century?

Mathematics
1 answer:
lawyer [9.2K]9 days ago
5 0
To start, we need to determine the growth rate in millimeters per century.
Given that a century comprises one hundred days, we simply multiply 0.35 by 100. Shifting the decimal two places to the right gives us a result of 35 mm each century. We can convert 35 mm to feet using a conversion calculator, yielding 0.1 (rounded to the nearest tenth).
Thus, the growth rate equates to 0.1 feet per century. I hope this clarifies your question! 
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The marked price of an article is Rs.2080. After allowing d% discount and levying
AnnZ [9099]

Answer:

13%

Detailed breakdown:

Information provided:

  • MP = 2080
  • Discount = d%
  • VAT = (d-2)%
  • Cost = 1997.84

Applying the discount:

  • 2080 - d% = 2080*(1 - 0.01d)

Including VAT:

  • 2080*(1 - 0.01d) + (d - 2)%
  • 2080*(1 - 0.01d) * (1 + (d -2)/100)
  • 2080*(1 - 0.01d) * (0.98 + 0.01d) = 1997.84
  • (1 - 0.01d)(0.98 + 0.01d) = 1997.84/2080
  • 0.98 + 0.01d - 0.0098d - 0.0001d² = 0.9605
  • - 0.0001d² + 0.0002d + 0.98- 0.9605 = 0
  • 0.0001d²- 0.0002d - 0.0195 = 0
  • d² - 2d + 195 = 0

Solving this quadratic equation yields:

  • d = 15

Therefore

  • VAT rate = 15 - 2 = 13%
7 0
11 days ago
Hospital sends an invoice to a patient. The patient schedules a payment plan in which she makes an initial payment of $1,451 the
lawyer [9240]
In the first month, she made a payment of $1451

In the second month, she paid one-third of that, which amounts to:
1451/3 = 483.66

For the third month, she pays one-third of 483.66 as indicated, meaning she takes one-third of the prior month's payment.

483.66/3 = 161.22

In the fourth month, her payment was

161.22/3 = 53.74

Altogether, her total payments amounted to:

$2149.62 - B.

Hope this information is helpful:)
3 0
19 days ago
Read 2 more answers
A solid oblique cone with a slant length of 17 units is placed inside an empty cylinder with a congruent base of radius 8 units
PIT_PIT [9117]

Step 1

Calculate the volume of a cylinder

We understand that

the volume of a cylinder can be expressed as

V1=\pi r^{2} h

In this scenario

r=8\ units \\ h=15\ units

Insert the values

V1=\pi 8^{2} 15

V1=960\pi\ units^{3}

Step 2

Calculate the volume of a cone

We are aware that

the volume of a cone equals

V2=\frac{1}{3}\pi r^{2} h

In this example

r=8\ units \\ l=17\ units \\ h=?

Use the Pythagorean Theorem to determine the height h

h^{2} =l^{2}-r^{2}\\ h^{2} =17^{2}-8^{2}\\ h^{2}=225\\ h=15\ units

V2=\frac{1}{3}\pi 8^{2} 15\\ \\ V2=320\pi \ units^{3}

Step 3

Calculate the empty volume inside the cylinder

V1-V2=960\pi -320\pi =640\pi \ units^{3}

Thus

the final result is

the empty volume inside the cylinder is 640\pi \ units^{3}

6 0
1 month ago
Read 2 more answers
A random sample of 16 students selected from the student body of a large university had an average age of 25 years and a standar
PIT_PIT [9117]

Answer:

The P-value ranges between 2.5% and 5% according to the t-table.

Step-by-step explanation:

A random sample of 16 students from a large university showed an average age of 25 years with a standard deviation of 2 years.

Let \mu = true average age of all students at the university.

So, the Null Hypothesis, H_0 : \mu \leq 24 years {indicating the average age is less than or equal to 24 years}

Alternate Hypothesis, H_A : \mu > 24 years {indicating the average age is significantly greater than 24 years}

Here we employ the One-sample t-test statistics as the population's standard deviation is unknown;

                              T.S. = \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, \bar X = sample average age = 25 years

             s = sample standard deviation = 2 years

             n = sample size = 16

This gives us the test statistics = \frac{25-24}{\frac{2}{\sqrt{16} } } ~ t_1_5

                                     = 2

The value of the t-test statistics is 2.

Moreover, the P-value of the test-statistics can be found as follows;

P-value = P(t_1_5 > 2) = 0.034 {as per the t-table}

Thus, the P-value lies between 2.5% and 5% based on the t-table.

8 0
1 month ago
The shortest person in a class is 55 inches tall and tallest person in that class is 75 inches tall. Write an absolute value equ
tester [8842]

x = lowest height

<x+25 highest height

x=55

3 0
1 month ago
Read 2 more answers
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