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4 years ago

16/100 in simplest form

2 answers:

4 0

16/100 in simplest form:

First, to start finding the simplest form, we have to list the factors of both the numerator and denominator (16 and 100) and find the greatest common factor (GCF).

Factors of 16: 1, 2, 4, 8, 16
Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

Our common factors of 16 and 100 are 1, 2 and 4. Since we are looking for the greatest common factor, 4 is considered the greatest. The GCF is 4.

Second, now we can continue on to the last step and divide our numerator and denominator by the GCF we recently found which was 4.

$16 \div 4 = 4 \\ 100 \div 4 = 25$

Take our new numerator and denominator and rewrite it in fraction form, 4/25. It cannot be simplified down anymore.

Answer in fraction form: $\fbox { 4/25 }$
Answer in decimal form: $\fbox {0.16}$

katovenus [111]4 years ago

4 0

4/25.

16/100 simplified once is 8/50

then it becomes 4/25

It can not be simplified any further

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When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let

HACTEHA [7]

Answer:

(a) The value of P (X ≤ 2) is 0.8729.

(b) The value of P (X ≥ 5) is 0.0072.

(d) The probability that none of the 25 boards is defective is 0.2774.

(e) The expected value and standard deviation of X are 1.25 and 1.09 respectively.

Step-by-step explanation:

The random variable X is defined as the number of defective boards.

The probability that a circuit board is defective is, p = 0.05.

The sample of boards selected is of size, n = 25.

The random variable X follows a Binomial distribution with parameters n and p.

The probability mass function of X is:

$P(X=x)={25\choose x}0.05^{x}(1-0.05)^{25-x};\ x=0,1,2,3...$

(a)

Compute the value of P (X ≤ 2) as follows:

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

$P(X\leq =x)=\sum\limits^{2}_{x=0}{{25\choose x}0.05^{x}(1-0.05)^{25-x}}\\=0.2774+0.3650+0.2305\\=0.8729$

Thus, the value of P (X ≤ 2) is 0.8729.

(b)

Compute the value of P (X ≥ 5) as follows:

P (X ≥ 5) = 1 - P (X < 5)

$=1-\sum\limits^{4}_{x=0}{{25\choose x}0.05^{x}(1-0.05)^{25-x}}\\=1-0.9928\\=0.0072$

Thus, the value of P (X ≥ 5) is 0.0072.

(c)

Compute the value of P (1 ≤ X ≤ 4) as follows:

P (1 ≤ X ≤ 4) = P (X = 1) + P (X = 2) + P (X = 3) + P (X = 4)

$=\sum\limits^{4}_{x=1}{{25\choose x}0.05^{x}(1-0.05)^{25-x}}\\=0.3650+0.2305+0.0930+0.0269\\=0.7154$

Thus, the value of P (1 ≤ X ≤ 4) is 0.7154.

(d)

Compute the value of P (X = 0) as follows:

$P(X=0)={25\choose 0}0.05^{0}(1-0.05)^{25-0}=1\times 1\times 0.277389=0.2774$

Thus, the probability that none of the 25 boards is defective is 0.2774.

(e)

Compute the expected value of X as follows:

$E(X)=np=25\times 0.05=1.25$

Compute the standard deviation of X as follows:

$SD(X)=\sqrt{np(1-p)}=\sqrt{25\times 0.05\times (1-0.05)}=1.09$

Thus, the expected value and standard deviation of X are 1.25 and 1.09 respectively.

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4 years ago

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Rom4ik [11]

3a
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4 years ago

Simplify the quotient 4.5x10(3) divided by 9x10(7)

PilotLPTM [1.2K]

2.142. If you ever get stuck do PEMDAS.
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3 years ago

What is the slope of the line below?

RUDIKE [14]

Answer:

6/5

Step-by-step explanation:

I hope that it's a clear solution.

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4 years ago

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Which would be included in a probability model for rolling a cube with faces numbered 1 through 6. Select all that apply. A. Sam

Step2247 [10]

Answer:

A,B, D and E.

Step-by-step explanation:

When a cube with faces numbered 1 through 6 is rolled:

(A)The sample space is 1,2,3,4,5,6. Option A is correct

(B) P(rolling a 1) =1/6, Option B is correct

(C)P(rolling a 2)=1/6, therefore option C is incorrect.

(D)P(rolling a 6)=1/6, Option D is correct

(E)In an experimental trial, the outcome must be members of the sample space. Therefore, the outcomes in option (E), 2, 2, 2, 5, 3, 2, 6, 5, 6, 1 are valid.

Options A,B, D and E would be included in the probability model.

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4 years ago