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Evgesh-ka [11]
4 years ago
11

Are these answers correct

Mathematics
1 answer:
attashe74 [19]4 years ago
4 0
For the first two problems, you can use a calculator to check your work.

3) 27/11 
11 goes into 27 two times. The whole number is 2. 
11 × 2 = 22
Subtract 27 - 22 = 5.
You have 5/11 left over, so the answer is 2\frac{5}{11}.

4) The least common multiple of 5 and 25 is 25. 
The least common multiple is the number that can be divided by both 5 and 25.
25 can be divided by 5 and 25.

5) 5/12 - 2/4
Make 2/4 have a common denominator with 5/12. Multiply the top and bottom number of 2/4 by 3.
2/4 = 6/12

Now you can solve: 5/12 - 6/12 = -1/12
The answer is -1/12.

6) 12/15 × 5/24 
You can multiply straight across.
\frac{12}{15} × \frac{5}{24} = 60/360

You can simplify 60/360 by dividing both sides by 60.
60/360 = 1/6
The answer is 1/6.

7) 2/7, 3/7, __, 5/7
This is a pattern question.
4/7 is correct, you are just adding 1 to the numerator each time.

8) 9/27 ÷ 3/9
Use Keep, Change, Flip.
Keep the 9/27,
Change the ÷ sign to a × sign.
Flip 3/9 to 9/3.

Your new equation is: 9/27 × 9/3. Now solve.
9/27 × 9/3 = 81/81 ⇒ 1
The answer is 1.

9) 6\frac{1}{5} ÷ \frac{9}{10}
Change 6 1/5 to an improper fraction ⇒ 31/5
Use the Keep, Change, Flip method again. 

31/5 × 10/9 = 310/45
310/45 = 62/9
The answer is 62/9 or 6\frac{8}{9}.

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How many whole cans can the company make out of each sheet of metal?
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Answer:

18

Step-by-step explanation:

Total Surface Area of the Metal Sheet =1000\:in^2

Given a cylinder with diameter 3 Inch and height 4\frac{1}{4} in

To determine how many whole cans can be made, the first step is to find the total surface area of each of the cylindrical can.

Total Surface Area of a cylinder =2\pi r^2+2\pi rh

  • Radius =3÷2=1.5 Inch
  • Height of the can =4\frac{1}{4} in

<u>Total Surface Area of each can </u>

2\pi r^2+2\pi rh=2\pi r(r+h)\\=2*1.5*\pi(1.5+4.25)\\=3\pi *5.75\\=17.25\pi \:in^2

<u>Number of Cans that can be Made </u>

To determine this, we divide the total surface area of the metal sheet by the total surface area of each can.

Number of Cans=Total surface area of the metal sheet÷Total surface area of each can.

=1000 \div 17.25\pi\\=18.45

Therefore, the company can make 18 whole cans from each sheet of metal.

6 0
3 years ago
A forest covers 66,000 acres. A survey finds that 0.2% of the forest is old-growth trees. How many acres of old-growth trees are
marshall27 [118]

Answer:

132

Step-by-step explanation:

easy  66,000 * .002

6 0
3 years ago
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Because eating out is a luxary, not a nessecity 
5 0
3 years ago
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tia_tia [17]

Answer:

Step-by-step explanation:-

Triangle ABC lies on the

coordinate plane with vertices

located at A (8,6), B (2,-5), and

C (-5, 1). The triangle is

< transformed using the rule

(x,y) - (x + 3,2y) to create

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5 0
3 years ago
The Wall Street Journal reports that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deduction
Len [333]

Answer:

(a) <em>                             </em><em>n</em> :      20           50          100         500

P (-200 < <em>X</em> - <em>μ </em>< 200) : 0.2886    0.4444    0.5954    0.9376

(b) The correct option is (b).

Step-by-step explanation:

Let the random variable <em>X</em> represent the amount of deductions for taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax return.

The mean amount of deductions is, <em>μ</em> = $16,642 and standard deviation is, <em>σ</em> = $2,400.

Assuming that the random variable <em>X </em>follows a normal distribution.

(a)

Compute the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $200 of the population mean as follows:

  • For a sample size of <em>n</em> = 20

P(\mu-200

                                           =P(-0.37

  • For a sample size of <em>n</em> = 50

P(\mu-200

                                           =P(-0.59

  • For a sample size of <em>n</em> = 100

P(\mu-200

                                           =P(-0.83

  • For a sample size of <em>n</em> = 500

P(\mu-200

                                           =P(-1.86

<em>                                  n</em> :      20           50          100         500

P (-200 < <em>X</em> - <em>μ </em>< 200) : 0.2886    0.4444    0.5954    0.9376

(b)

The law of large numbers, in probability concept, states that as we increase the sample size, the mean of the sample (\bar x) approaches the whole population mean (\mu_{x}).

Consider the probabilities computed in part (a).

As the sample size increases from 20 to 500 the probability that the sample mean is within $200 of the population mean gets closer to 1.

So, a larger sample increases the probability that the sample mean will be within a specified distance of the population mean.

Thus, the correct option is (b).

8 0
4 years ago
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