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maxonik [38]
3 years ago
13

If p:q=2/3:3 and p:r=3/4:2/3 calculate the ratio p:q:r. Giving the answer in its simplest form

Mathematics
1 answer:
adelina 88 [10]3 years ago
6 0

Answer:

Given  

if p:q=2/3:3 and p:r=3/4:1/2, calculate the ratio p:q:r giving your answer in its simplest form

We need to find the ratio p:q:r

Given p:q = 2/3 : 3 = 2/3 / 3  = 2/9

and p : r = 3/4 : 1/2 = 3/4 / 1/2  = 3/2  

Now p/q = 2/9 and p/r = 3/2

We need to make p equal numerators so we get

p/q = 2/9 x 3/3 = 6/27 and

p/r = 2/3 x 3/2 = 6/4

Therefore p : q : r = 6 : 27 : 4

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The rational number halfway between 2/4 and 1/8
galben [10]

Answer:

one third or 0.333333...

Step-by-step explanation:

a rational number is a number that can be written as a ratio between two numbers. they an be repeating like 1/3 or terminating like 1.36.

6 0
3 years ago
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1.
kodGreya [7K]

Answer: 1.  All the numbers within the whole

number set {0,1,2,3,...) as well as

all of the opposites.  Integers

2. The result of adding two or more

Numbers. Sum

3. The result of subtracting one

number from another.  difference

4. A number that is multiplied by

another number  factor

5. A number to be divided by

another number. dividend

6. A number by which another

number is to be divided. divisor

7. Two or more factors multiplied

together results in this. product

8. A dividend is divided by a divisor

and the result is this. quotient

9.  Also called reducing means to

make the fraction as simple as possible.  the simplest form

10. It is the largest number that

divides exactly into two or more numbers. Least Common Denominator

11. The smallest number that is a

multiple of two or more numbers

The LCM  or Least Common Multiple

12. Using unit factors to convert measurements. Dimensional Analysis

Step-by-step explanation:

It took a while to sort all of the questions out. I hope this is a study guide, not  a test

5 0
3 years ago
A manufacturer of a new medication on the market for Alzheimer's disease makes a claim that the medication is effective in 65% o
NeX [460]

Answer:

z=\frac{0.639 -0.65}{\sqrt{\frac{0.65(1-0.65)}{180}}}=-0.309  

p_v =P(z  

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of adults with the medication was effective is not significantly less than 0.65

Step-by-step explanation:

Data given and notation

n=180 represent the random sample taken

X=115 represent the adults with the medication was effective

\hat p=\frac{115}{180}=0.639 estimated proportion of adults with the medication was effective

p_o=0.65 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that true proportion is less than 0.65.:  

Null hypothesis:p \geq 0.65  

Alternative hypothesis:p < 0.65  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.639 -0.65}{\sqrt{\frac{0.65(1-0.65)}{180}}}=-0.309  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a left tailed test the p value would be:  

p_v =P(z  

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of adults with the medication was effective is not significantly less than 0.65

3 0
3 years ago
Subtract. (5x2−3x−2)−(−2x2−x+10) Express the answer in standard form. Enter your answer in the box.
Nimfa-mama [501]

Answer:

7x^{2}-2x-12=0

Step-by-step explanation:

we know that

The standard form of the quadratic equation is equal to ax^{2} +bx+c=0

we have

(5x^{2}-3x-2)-(-2x^{2}-x+10)

eliminate the parenthesis

5x^{2}-3x-2+2x^{2}+x-10

group terms that contain the same variable

(5x^{2}+2x^{2})+(-3x+x)+(-2-10)

combine like terms

7x^{2}-2x-12=0

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3 years ago
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25 points!!!!!!!!!!!!!!!!!!!!!
alexandr1967 [171]

Answer:

line graph for sure ig..........

4 0
3 years ago
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