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4 years ago

Its a simple RSM question that I can't get, please help WILL GIVE BRAINLIEST

Mathematics

1 answer:

Lesechka [4]4 years ago

3 0

Answer:

as a decimal, -22.33 as a fraction, -22 1/3

Step-by-step explanation: I showed my work so I hope that is correct

(REMEMBER P.E.M.D.A.S. STANDS FOR PARENTHESIS, EXPONENTS, MULTIPLY, DIVIDE, ADD, SUBTRACT-IN THAT EXACT ORDER)

first I would change the problem so that all of the fractions have the same common denominator and turn the mixed number into an improper fraction:

1.(75/100 / 3/100 - 2350/100)

second before solving anything else, I would solve inside the parenthesis with P.E.M.D.A.S. so I would solve 78/100 / 3/100

2. 78/100 / 3/100 = 26/100

now we have (26/100-2350/100) to solve in the parenthesis. I would make the denominator A LOT smaller before handling this.

3&4. 26/100 and 2350/100 both have common denominators of 50, 20,and 10. So you would get 13/50-1175/50, 26/20-470/20, or 26/10-235/10.

so 26/10-235/10= -235/10 also equal to -47/2 or -43.5 (-43 1/2)

so now we have (-47/2) / 1 1/2*2/3 + 1 1/6

I would continue following P.E.M.D.A.S. and add parenthesis around 1 1/2* 2/3 and solve (but first I would keep the same denominator)

5.1 1/2=3/2, 3/2=9/6 and 2/3 = 4/6

so, 9/6*4/6 = 36/36 which is equal to

now, we have (-47/2) / 1 + 1 1/6

and basically, we now have -47/2 + 7/6

which can be handled 2 ways

1/2,) turn to decimals, which looks like -23.5 + 1.17 (by rounding to the nearest tenths place) = -22.33

2/2,)simplify and subtract as fractions, which would look like -141/6 + 7/6 = -134/6 which is equal to -67/3 or as a mixed number, -22 1/3

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3 years ago

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Estimates of the number of cells in the human body vary over an order of magnitude. Indeed, the precise number varies from one

Amiraneli [1.4K]

Answer:

a) 2.00 × 10¹⁰; b) 2.00 × 10¹³

Step-by-step explanation:

a) No. of cells in 1 cm³

$\text{No. of cells} =\text{1 cm}^{3} \times\left( \dfrac{\text{1 m}}{\text{100 cm}}\right )^{3} \times \left (\dfrac{1 \, \mu \text{m} }{10^{-6}\,\text{ m}}\right )^{3} \times \dfrac{\text{1 cell}}{\text{50 $\,\mu$m}^{3}} = \mathbf{2.00 \times 10^{10}} \textbf{ cells}$

b) No. of cells in 1 L

$\text{No. of cells} = \text{1 L} \times \dfrac{\text{1000 cm}^{3}}{\text{1 L}} \times \dfrac{2 \times 10^{10} \text{ cells}}{\text{1 cm}^{3}} = \mathbf{2.00 \times 10^{13}} \textbf{ cells}$

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4 years ago

There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters tha

uranmaximum [27]

Answer:

0.6826 = 68.26% probability that the first machine produces an acceptable cork.

0.933 = 93.3% probability that the second machine produces an acceptable cork.

The second machine is more likely to produce an acceptable cork.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

What is the probability that the first machine produces an acceptable cork?

The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation 0.10 cm, which means that $\mu = 3, \sigma = 0.1$

Acceptable between 2.9 and 3.1, which means that this probability is the pvalue of Z when X = 3.1 subtracted by the pvalue of Z when X = 2.9.

X = 3.1

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{3.1 - 3}{0.1}$

$Z = 1$

$Z = 1$ has a pvalue of 0.8413

X = 2.9

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{2.9 - 3}{0.1}$

$Z = -1$

$Z = -1$ has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

0.6826 = 68.26% probability that the first machine produces an acceptable cork.

What is the probability that the second machine produces an acceptable cork? (Round your answer to four decimal places.)

For the second machine, we have that $\mu = 3.04, \sigma = 0.04$ . Same probability we have to find out. So

X = 3.1

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{3.1 - 3.04}{0.04}$

$Z = 1.5$

$Z = 1.5$ has a pvalue of 0.9332

X = 2.9

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{2.9 - 3.04}{0.04}$

$Z = -3.5$

$Z = -3.5$ has a pvalue of 0.0002

0.9332 - 0.0002 = 0.933

0.933 = 93.3% probability that the second machine produces an acceptable cork.

Which machine is more likely to produce an acceptable cork?

Second one has a higer probability, so it is more likely to produce an acceptable cork.

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3 years ago

Is the graph of a function rule that relates a squares area to its side length continuous or discrete? Explain

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Continuous, because its the area.
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3 years ago

What are accepted without proofs in a logical system

andreyandreev [35.5K]

Postulates, Axioms, and Common Notions are accepted without proofs in a logical system.

<u>Explanation:</u>

Postulates or axioms are those statements which are considered to be true and these serve as a starting point or a premise for further arguments or reasoning purposes.

Common notions which are sometimes referred to as axioms represents the magnitudes of one kind.

In mathematics, axioms are classified into two types namely,

1. Logical axioms: Used in two distinguishable but relatable senses.

2. Non-logical axioms: Substantive assertions based on the elements of any theory.

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3 years ago