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3 years ago

Convert the following common fractions to decimals. Round to three decimal places if necessary. 1/2 = A)1.2 B)0.2 C)0.5 D)0.05

Mathematics

2 answers:

coldgirl [10]3 years ago

8 0

Answer: 0.5

Step-by-step explanation:

You first divide 1 by 2. This is near impossible. So the first figure is 0. Then adding 0 to 1 makes it 10. Then you divide 10 by 2. It gives 5. Thus, the final answer is 0.5.

adell [148]3 years ago

4 0

Answer:

0.5

Step-by-step explanation:

The decimal 0.25 represents the fraction 25/100. Decimal fractions always have a denominator based on a power of 10. We know that 5/10 is equivalent to 1/2 since 1/2 times 5/5 is 5/10. Therefore, the decimal 0.5 is equivalent to 1/2 or 2/4, etc.

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Pani-rosa [81]

Answer:

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Step-by-step explanation:

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3 years ago

The J.O. Supplies Company buys calculators from a non-US supplier. The probability of a defective calculator is 10 percent. If 3

RSB [31]

Answer:

There is a 24.3% probability that one of the calculators will be defective.

Step-by-step explanation:

For each calculator, there are only two possible outcomes. Either it is defective, or it is not. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The probability of a defective calculator is 10 percent.

This means that $p = 0.1$

If 3 calculators are selected at random, what is the probability that one of the calculators will be defective

This is P(X = 1) when n = 3. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{3,1}.(0.1)^{3}.(0.9)^{2} = 0.243$

There is a 24.3% probability that one of the calculators will be defective.

3 0

3 years ago

Between which to whole numbers does the square root of 119 lie?

Stella [2.4K]

Answer:

10 and 11

Step-by-step explanation:

$1^2, 2^2, 3^2, 4^2, 5^2, 6^2, 7^2, 8^2, 9^2, 10^2, 11^2\\1, 4, 9, 16, 25, 36,49,64,81,100,121$

The $\sqrt{119}$ lies between whole number 10 and 11 since it lies between 100-121 which square rooted, is 10 and 11.

4 0

4 years ago

Read 2 more answers

lidiya [134]

Answer:

x = 73.8

Step-by-step explanation:

to find the blue line:

tan(50) = 41/a

a = 41/tan(50)

a = 34.4 to 1 decimal place

to find x:

tan(65) = x/34.4

x = 34.4tan(65)

x = 73.8 to 1 decimal place

8 0

3 years ago

A wheel of radius 1.9 feet is moving forward at 12 feet per second. How fast is the wheel turning?

SOVA2 [1]

Find the circumference to see how much of the wheel is touhing the ground

c=2pir
c=2pi1.9
c=2.8pi

2.8pi=distance per 1 rotation
number of rotations per second times 2.8pi=12feet per second
dvide both sides by 2.8pi
number of rorations per second=12/2.8pi
number of roations per second=6/1.4pi
number of roations per second=3/0.7pi
number of roations per second=30/7pi
aprox
number of roations per second=1.364 rotations per second

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4 years ago