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3 years ago

Complete the statement below to explain how this model shows that 1/6 ÷ 1/4 = 2/3.

Mathematics

2 answers:

svlad2 [7]3 years ago

5 0

Answer:

The answer is 2/3 and I will show the working to prove that in the explanation

Step-by-step explanation:

$\frac{1}{6}$ ÷ $\frac{1}{4}$

$\frac{1}{6}$ × $\frac{4}{1}$

Answer = $\frac{1}{6}$ × $\frac{4}{1}$ = $\frac{2}{3}$

So basically what is happening in the above steps what I have shown is that first I am changing the division sign into multiplication and then I am reciprocating the fraction of 1/4 into 4/1 because on the other side of it is multiplying and after doing that I am simplifying the fraction 4/6 by dividing it by 2 and hence I got a fraction of 2/3 as the answer

never [62]3 years ago

3 0

It takes 2/3 of a 1/4 bar to make 1/6

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Answer:

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2 years ago

Factor the expression 1.5x+6

swat32

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3 years ago

Write an expression that is equivalent to - 0.5(14a - 22) .

PSYCHO15rus [73]

$\textsf{Hey \: there}$

<h2>QUESTION</h2>

$\mathsf{-0.5(14a - 22)}$

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<h2>SIDE NOTE: THE DISTRIBUTIVE FORMULA IS</h2>

$\text{a(b + c)} \\ \text{a(b) + a(c)} \\ \text{a(b) = ab} \\ \text{a(c) = ac} \\ \text{ \underline{ = ab + ac}}$

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3 years ago

Read 2 more answers

Genetic Defects Data indicate that a particular genetic defect occurs in of every children. The records of a medical clinic show

Dovator [93]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The probability that there exist 60 or more defected children is $P(x \ge 60)=0.0901$

Looking at the value for this probability we see that it is not so small to the point that the observation of this kind would be a rare occurrence

Step-by-step explanation:

From the question we are told that

in every 1000 children a particular genetic defect occurs to 1

The number of sample selected is $n= 50,000$

The probability of observing the defect is mathematically evaluated as

$p = \frac{1}{1000}$

$= 0.001$

The probability of not observing the defect is mathematically evaluated as

$q = 1-p$

$= 1-0.001$

$= 0.999$

The mean of this probability is mathematically represented as

$\mu = np$

Substituting values

$\mu = 50000*0.001$

$= 50$

The standard deviation of this probability is mathematically represented as

$\sigma = \sqrt{npq}$

Substituting values

$= \sqrt{50000 * 0.001 * 0.999}$

$= \sqrt{49.95}$

$= 7.07$

the probability of detecting $x \ge60$ defects can be represented in as normal distribution like

$P(x \ge 60)$

in standardizing the normal distribution the normal area used to approximate $P(x \ge 60)$ is the right of 59.5 instead of 60 because x= 60 is part of the observation

The z -score is obtained mathematically as

$z = \frac{x-\mu }{\sigma }$

$= \frac{59.5 - 50 }{7.07}$

$=1.34$

The area to the left of z = 1.35 on the standardized normal distribution curve is 0.9099 obtained from the z-table shown z value to the left of the standardized normal curve

Note: We are looking for the area to the right i.e 60 or more

The total area under the curve is 1

$P(x \ge 60) \approx P(z > 1.34)$

$= 1-P(z \le 1.34)$

$=1-0.9099$

$=0.0901$

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2 years ago

On a blueprint, the scale indicates that 4 centimeters

makvit [3.9K]

Answer:

Length: 15 feet Width: 105 feet

Step-by-step explanation:

set up a proportion of x over 4 and x over 12 fill in the length or width that you do know. Then cross multiply and solve the simple equation you get: for example) 60 = 4x. Just divide both sides by 4 to get x by itself.

Hope this answered your question!

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3 years ago