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diamong [38]
3 years ago
12

If you cut a 12-inch loaf of bread into1/2 -inch slices, you would have slices of bread.

Mathematics
2 answers:
storchak [24]3 years ago
8 0
You would have two six-inch slices of bread
larisa86 [58]3 years ago
5 0
12/(1/2)=12/1 x 2/1 = 24 slices 

In order to figure this out you have to divide by the size of the slices to find the number. since dividing by a fraction is the same as multiplying by the reciprocal(the opposite, flipping the fraction) we can determine that there are 24 1/2 in. slices.
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The cost of living last year went up 5​%. ​Fortunately, Alice Swanson got a 5​% raise in her salary from last year. This year sh
kompoz [17]

Answer:

49038.0952

Step-by-step explanation:

x+0.05x=51490

1.05x/1.05= 51490/1.05

x=49038.0952

3 0
3 years ago
A company that produces fine crystal knows from experience that 13% of its goblets have cosmetic flaws and must be classified as
Kisachek [45]

Answer:

(a) The probability that only one goblet is a second among six randomly selected goblets is 0.3888.

(b) The probability that at least two goblet is a second among six randomly selected goblets is 0.1776.

(c) The probability that at most five must be selected to find four that are not seconds is 0.9453.

Step-by-step explanation:

Let <em>X</em> = number of seconds in the batch.

The probability of the random variable <em>X</em> is, <em>p</em> = 0.31.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.

The probability mass function of <em>X</em> is:

P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,3...

(a)

Compute the probability that only one goblet is a second among six randomly selected goblets as follows:

P(X=1)={6\choose 1}0.13^{1}(1-0.13)^{6-1}\\=6\times 0.13\times 0.4984\\=0.3888

Thus, the probability that only one goblet is a second among six randomly selected goblets is 0.3888.

(b)

Compute the probability that at least two goblet is a second among six randomly selected goblets as follows:

P (X ≥ 2) = 1 - P (X < 2)

              =1-{6\choose 0}0.13^{0}(1-0.13)^{6-0}-{6\choose 1}0.13^{1}(1-0.13)^{6-1}\\=1-0.4336+0.3888\\=0.1776

Thus, the probability that at least two goblet is a second among six randomly selected goblets is 0.1776.

(c)

If goblets are examined one by one then to find four that are not seconds we need to select either 4 goblets that are not seconds or 5 goblets including only 1 second.

P (4 not seconds) = P (X = 0; n = 4) + P (X = 1; n = 5)

                            ={4\choose 0}0.13^{0}(1-0.13)^{4-0}+{5\choose 1}0.13^{1}(1-0.13)^{5-1}\\=0.5729+0.3724\\=0.9453

Thus, the probability that at most five must be selected to find four that are not seconds is 0.9453.

8 0
3 years ago
A 27 1⁄2-mile stretch of road needs repaving. A company bid on the repaving project, saying they would repave 2 1⁄4 miles of roa
Umnica [9.8K]

Answer:

The correct answer is 12 and a half or 13 weeks.

Step-by-step explanation:

First, convert the values to decimals.

27 1/2 = 27.5

2 1/4 = 2.25

Then, divide miles of road that need to be repaved by the number of miles that are repaved per week.

27.5/2.25 = 12.2222222222222

Round that up to 12 and a half weeks or 13 weeks.

8 0
3 years ago
(2A)<br> Find f(2x + 4) for f(x) = 1 - x2
Aleksandr-060686 [28]

Answer:

f(2x + 4) = -4x² - 16x - 15

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Distributive Property

<u>Algebra I</u>

  • Terms/Coefficients
  • Expanding (FOIL)

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

f(x) = 1 - x²

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em> [Function f(x)]:                                                                          f(2x + 4) = 1 - (2x + 4)²
  2. Expand [FOIL]:                                                                                                  f(2x + 4) = 1 - (4x² + 16x + 16)
  3. (Parenthesis) Distribute negative:                                                                   f(2x + 4) = 1 - 4x² - 16x - 16
  4. Combine like terms:                                                                                          f(2x + 4) = -4x² -16x - 15
8 0
2 years ago
A cereal manufacturer has a tolerance of 0.75 oz for a box of cereal that is supposed to weigh 20 oz. Determine the compound ine
Advocard [28]

I hope it helps you

3 0
3 years ago
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