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Katyanochek1 [597]
3 years ago
5

You are given the summer reading list for your English class. There are 88 books on the list. You decide you will read all 88. I

n how many different orders can you read the books? Enter your answer as a number, like this: 42
Mathematics
1 answer:
vladimir1956 [14]3 years ago
8 0

Answer:

1.854826e+134

Step-by-step explanation:

To answer a question like this, you need to know that the factorial of a number is the multiplication of all the posible whole numbers from 0 to the original number. Thus, this problem can be solved calculating 88! (88 factorial) = 88 * 87 * 86 * 85 * 84 * … * 3 * 2 * 1, so the final answer is a very big number, 1.854826 * 10 ^134

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When Jeremy made 8 black and white copies and 2 color copies at a copy shop, the cost was $1.20. When he made 10 black and white
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I think it’s A and it’s B at the most but still...A
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3 years ago
A piece of electronic equipment is built with 3 cooling fans. The equipment will function only if at least 2 of the 3 fans are w
PolarNik [594]

Answer:

0.66608

Step-by-step explanation:

Equipment = 3 fans

Mortality = 0.098

We are required to find probability that equipment gets to work for 5years

The question says forces of mortality is constant and also equal to 0.098

To calculate p(x>5)

We will do this by calculating exponentially

e^-0.098x5

= 0.612626394

Probability that at least 2 fans out of 3 are working

3(0.612626394)²+(1-0.612626394)+(0.612626394)³

= 1.1259333x0.3873736+0.2299255

= 0.6660823470

This is approximately

<u>0.6608</u>

this is the probability that the equipment will work for at least 5years

8 0
3 years ago
Best known for its testing program, ACT, Inc., also compiles data on a variety of issues in education. In 2004 the company repor
GarryVolchara [31]

Answer:

\mu_p -\sigma_p = 0.74-0.0219=0.718

\mu_p +\sigma_p = 0.74+0.0219=0.762

68% of the rates are expected to be betwen 0.718 and 0.762

\mu_p -2*\sigma_p = 0.74-2*0.0219=0.696

\mu_p +2*\sigma_p = 0.74+2*0.0219=0.784

95% of the rates are expected to be betwen 0.696 and 0.784

\mu_p -3*\sigma_p = 0.74-3*0.0219=0.674

\mu_p +3*\sigma_p = 0.74+3*0.0219=0.806

99.7% of the rates are expected to be betwen 0.674 and 0.806

Step-by-step explanation:

Check for conditions

For this case in order to use the normal distribution for this case or the 68-95-99.7% rule we need to satisfy 3 conditions:

a) Independence : we assume that the random sample of 400 students each student is independent from the other.

b) 10% condition: We assume that the sample size on this case 400 is less than 10% of the real population size.

c) np= 400*0.74= 296>10

n(1-p) = 400*(1-0.74)=104>10

So then we have all the conditions satisfied.

Solution to the problem

For this case we know that the distribution for the population proportion is given by:

p \sim N(p, \sqrt{\frac{p(1-p)}{n}})

So then:

\mu_p = 0.74

\sigma_p =\sqrt{\frac{0.74(1-0.74)}{400}}=0.0219

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ). Broken down, the empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

\mu_p -\sigma_p = 0.74-0.0219=0.718

\mu_p +\sigma_p = 0.74+0.0219=0.762

68% of the rates are expected to be betwen 0.718 and 0.762

\mu_p -2*\sigma_p = 0.74-2*0.0219=0.696

\mu_p +2*\sigma_p = 0.74+2*0.0219=0.784

95% of the rates are expected to be betwen 0.696 and 0.784

\mu_p -3*\sigma_p = 0.74-3*0.0219=0.674

\mu_p +3*\sigma_p = 0.74+3*0.0219=0.806

99.7% of the rates are expected to be betwen 0.674 and 0.806

5 0
3 years ago
You can afford a $1150 per month mortgage payment. You've found a 30 year loan at 8: interest compounded monthly. a) How big of
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Answer:

PV= Max Loan amount = PMT*B(i,T) and PMT = 1200. Calculate B(i,T) = B(6%/12, 360)

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Step-by-step explanation:

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2 years ago
Maitri and Aabhas do a work in 12 hours.
tamaranim1 [39]

Answer:

See below ~

Step-by-step explanation:

<u>Given</u>

  • Maitri and Aabhas do a work in 12 hours
  • Aabhas and Kavya do the work in 15 hours
  • Kavya and Maitri do the work in 20 hours

<u>Solving</u>

  • Take Maitri, Aabhas, and Kavya to be x, y, z respectively
  • <u>x + y = 12</u> (1)
  • <u>y + z = 15</u> (2)
  • <u>x + z = 20</u> (3)

<u>Take Equation 1 and rewrite it so that it is equal to x.</u>

  • x = 12 - y

<u>Take Equation 2 and rewrite it so that it is equal to z.</u>

  • z = 15 - y

<u>Now, substitute these values in Equation 3.</u>

  • x + z = 20
  • 12 - y + 15 - y = 20
  • -2y + 27 = 20
  • 2y = 7
  • y = 7/2 = <u>3.5 hours [Aabhas]</u>

<u></u>

<u>Substitute the value of y in Equation 1.</u>

  • x + 3.5 = 12
  • x = <u>8.5 hours [Maitri]</u>

<u>Substitute the value of y in Equation 2.</u>

  • 3.5 + z = 15
  • z = <u>11.5 hours [Kavya]</u>

<u></u>

<u>Add the values of x, y, and z together.</u>

  • x + y + z
  • 8.5 + 3.5 + 11.5
  • 12 + 11.5
  • <u>23.5 hours [together]</u>

8 0
2 years ago
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