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8_murik_8 [283]
3 years ago
6

Select the BEST classification for π. A) irrational B) rational C) imaginary D) not real

Mathematics
2 answers:
Andreas93 [3]3 years ago
8 0

Well it's not really a matter of which is "best", one is right and the others are wrong :)

\pi is an <em>irrational</em> number, meaning that it can't be expressed with a fraction between integers: in other words, there doesn't exist two integers a,b such that

\dfrac{a}{b}=\pi

This is why option B is wrong. Also, imaginary numbers (option C) are complex numbers with no real part. Since

\pi = \pi + 0i

\pi is not imaginary. Finally, irrational numbers are real numbers, so option D is wrong as well.

ale4655 [162]3 years ago
5 0

Answer:

a

Step-by-step explanation:

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14 - ( 9t - 2 ) &lt; - t + 30 Anyone know multistep equations
ZanzabumX [31]

Answer:

t > -7/4

Step-by-step explanation:

Step 1: Write out inequality

14 - (9t - 2) < -t + 30

Step 2: Distribute

14 - 9t + 2 < -t + 30

Step 3: Combine like terms

-9t + 16 < -t + 30

Step 4: Add 9t to both sides

16 < 8t + 30

Step 5: Subtract 30 on both sides

-14 < 8t

Step 6: Divide both sides by 8

-7/4 < t

Step 7: Rewrite

t > -7/4

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3 years ago
The sum of four times a number and 18 is the same as the difference of fourteen and twice a number
Citrus2011 [14]
4x+18=14-2x \\ 4x=-4-2x \\ 6x=-4 \\ x= \frac{2}{3}
4 0
3 years ago
Shruthi typed 1000 words in 60 minutes. What is her typing speed?
shepuryov [24]

Answer:

If top readers read at speeds of above 1000 words per minute (wpm) with near 85% comprehension, they only represent 1% of readers. Average readers are the majority and only reach around 200 wpm with a typical comprehension of 60%. ... The average reader is five times slower than the good reader.

Step-by-step explanation:

4 0
2 years ago
A group of retired admirals, generals, and other senior military leaders, recently published a report, "Too Fat to Fight". The r
weqwewe [10]

Answer:

z=\frac{0.694 -0.75}{\sqrt{\frac{0.75(1-0.75)}{180}}}=-1.735  

p_v =P(z  

If we compare the p value obtained and the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of americans between 17 to 24 that not qualify for the military is significantly less than 0.75 or 75% .  

Step-by-step explanation:

1) Data given and notation  

n=180 represent the random sample taken  

X=125 represent the number of americans between 17 to 24 that not qualify for the military

\hat p=\frac{125}{180}=0.694 estimated proportion of americans between 17 to 24 that not qualify for the military

p_o=0.75 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)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that less than 75% of Americans between the ages of 17 to 24 do not qualify for the military :  

Null hypothesis: p\geq 0.75  

Alternative hypothesis:p < 0.75  

When we conduct a proportion test we need to use the z statistic, 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.  

3) Calculate the statistic  

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

z=\frac{0.694 -0.75}{\sqrt{\frac{0.75(1-0.75)}{180}}}=-1.735  

4) 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  

If we compare the p value obtained and the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of americans between 17 to 24 that not qualify for the military is significantly less than 0.75 or 75% .  

6 0
3 years ago
(b) Develop a probability distribution for x y. x y f(x y) 130 Incorrect: Your answer is incorrect. 80 Incorrect: Your answer is
GenaCL600 [577]

Answer:

P(X = x, Y = y) = f(x, y)

Step-by-step explanation:

Let X be a discrete random variable, and suppose that the possible values that it can assume are given by x1, x2,  x3, . . . , arranged in some order. Suppose also that these values are assumed with probabilities given by

P(X = xk) = f(xk)                k = 1, 2, . . . (1)

It is convenient to introduce the probability function, also referred to as probability distribution, given by

P(X = x) = f(x)

If X and Y are two discrete random variables, we define the joint probability function

of X and Y by

P(X = x, Y = y) = f(x, y)

where f(x, y) ≥ 0

5 0
3 years ago
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