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goblinko [34]
2 years ago
8

One nanometer equals about

Mathematics
1 answer:
Orlov [11]2 years ago
4 0

Answer:

1\ \text{nanometer}=4\times 10^8

Step-by-step explanation:

Given : One nanometer equals about  0.00000004 inches.

To find : When writing this decimal as a single-digit integer multiplied by a power of ten, the single digit integer is  and the power of ten ?

Solution :

1\ \text{nanometer}=0.00000004

1\ \text{nanometer}=\frac{00000004}{100000000}

1\ \text{nanometer}=4\times 10^8

Therefore, the decimal as a single-digit integer multiplied by a power of ten is  1\ \text{nanometer}=4\times 10^8

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The sum of Claudia's age and Pedro's age is
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Answer:20

Step-by-step explanation:14+6=20

20-6=14

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2 years ago
The table below represents the closing prices of stock ABC for the last five days. What is the r-value of the linear regression
Mekhanik [1.2K]

Answer:

C. -0.68427

Step-by-step explanation:

Enter the data into a graphing calculator.

First decide which is the independent and which is the dependent variable.  Since the value of the stock depends on the day, value will be dependent and day will be independent.

This means that the days will be entered into the first list and the values will be entered into the second list.

Entering these and running the linear regression, we find the r-value to be -0.68427 .

7 0
2 years ago
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What is the conversion factor from km. to ft.? If Joe traveled 12 kilometers, how many feet did he travel?
Elanso [62]
To answer the question presented above, the conversion factor for km to feet is 1 kilometers is equal to 3280.84 feet. From the given,
                         (12 km) x (3280.84 ft / 1 km) = 39370.08 feet
Thus, Joe traveled an approximate distance of 39370 feet. 
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2 years ago
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A really bad carton of eggs contains spoiled eggs. An unsuspecting chef picks eggs at random for his ""Mega-Omelet Surprise."" F
Dima020 [189]

Answer:

(a) The probability that of the 5 eggs selected exactly 5 are unspoiled is 0.0531.

(b) The probability that of the 5 eggs selected 2 or less are unspoiled is 0.3959.

(c) The probability that of the 5 eggs selected more than 1 are unspoiled is 0.8747.

Step-by-step explanation:

The complete question is:

A really bad carton of 18 eggs contains 8 spoiled eggs. An unsuspecting chef picks 5 eggs at random for his “Mega-Omelet Surprise.” Find the probability that the number of unspoiled eggs among the 5 selected is

(a) exactly 5

(b) 2 or fewer

(c) more than 1.

Let <em>X</em> = number of unspoiled eggs in the bad carton of eggs.

Of the 18 eggs in the bad carton of eggs, 8 were spoiled eggs.

The probability of selecting an unspoiled egg is:

P(X)=p=\frac{10}{18}=0.556

A randomly selected egg is unspoiled or not is independent of the others.

It is provided that a chef picks 5 eggs at random.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 5 and <em>p</em> = 0.556.

The success is defined as the selection of an unspoiled egg.

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

P(X=x)={5\choose x}(0.556)^{x}(1-0.556)^{5-x};\ x=0,1,2,3...

(a)

Compute the probability that of the 5 eggs selected exactly 5 are unspoiled as follows:

P(X=5)={5\choose 5}(0.556)^{5}(1-0.556)^{5-5}\\=1\times 0.05313\times 1\\=0.0531

Thus, the probability that of the 5 eggs selected exactly 5 are unspoiled is 0.0531.

(b)

Compute the probability that of the 5 eggs selected 2 or less are unspoiled as follows:

P (X ≤ 2) = P (X = 0) + P (X = 1) + P (X = 2)

              =\sum\imits^{2}_{x=0}{{5\choose 5}(0.556)^{5}(1-0.556)^{5-5}}\\=0.0173+0.1080+0.2706\\=0.3959

Thus, the probability that of the 5 eggs selected 2 or less are unspoiled is 0.3959.

(c)

Compute the probability that of the 5 eggs selected more than 1 are unspoiled as follows:

P (X > 1) = 1 - P (X ≤ 1)

              = 1 - P (X = 0) - P (X = 1)

              =1-\sum\limits^{1}_{x=0}{{5\choose 5}(0.556)^{5}(1-0.556)^{5-5}}\\=1-0.0173-0.1080\\=0.8747

Thus, the probability that of the 5 eggs selected more than 1 are unspoiled is 0.8747.

6 0
2 years ago
The system of equations y = one-fourth x minus 1 and y = negative one-half x minus one-fourth is shown on the graph below. On a
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Step-by-step explanation:

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y = one-fourth x minus 1 → y = \frac{1}{4}x-1

y = negative one-half x minus one-fourth → y = -\frac{1}{2}x - \frac{1}{4}

They intersect at (1, -\frac{3}{4})

Answer: Option A, (1, negative three-fourths)

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