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Degger [83]
3 years ago
7

Write the fractions in order from least to greatest 1/2 1/4 5/8

Mathematics
2 answers:
Brilliant_brown [7]3 years ago
6 0
To find out which fraction is the least and which fraction is the greatest you can change all the fractions to have a single denominator. For instance, 1/2 becomes 4/8, 1/4 becomes 2/8 and 5/8 would stay the same. 2/8 is the least, 4/8 is in the middle and 5/8 is the greatest. Threfore, 1/4 is the least, 1/2 is the second least, and 5/8 is the greatest.
dimulka [17.4K]3 years ago
5 0
1/4 is least, next is 1/2 and the greatest is 5/8
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Answer:

(a) 4 miles

(b) 8.9 miles

Step-by-step explanation:

(a) Theorem 1: In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the hypotenuse into two segments. The length of the altitude is the geometric mean of these two segments.

Hence, the distance d between the park and the library is

d^2=2\cdot 8\\ \\d^2=16\\ \\d=4\ miles

(b) Theorem 2: In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the hypotenuse into two segments. The length of each leg of the right triangle is the geometric mean of the lengths of the hypotenuse and the segment of the hypotenuse that is adjacent to the leg.

Thus, the distance D between the park and the football field is

D^2=8\cdot (2+8)\\ \\D^2=8\cdot 10\\ \\D^2=80\\ \\D=\sqrt{80}=4\sqrt{5}\approx 8.9\ miles

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3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

t=\frac{26.8-29.9}{\frac{2.7}{\sqrt{9}}}=-3.44    

df=n-1=9-1=8  

p_v =P(t_{(8)}  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and is not enough evidence to conclude that the claim is true.

Step-by-step explanation:

Data given

\bar X=26.8 represent the sample mean

s=2.7 represent the sample standard deviation

n=9 sample size  

\mu_o =29.9 represent the value that we want to test

\alpha=0.05 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean exceed 29.9 or no, the system of hypothesis would be:  

Null hypothesis:\mu \geq 29.9  

Alternative hypothesis:\mu < 29.9  

The statistic is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{26.8-29.9}{\frac{2.7}{\sqrt{9}}}=-3.44    

P-value

The degrees of freedom are given by:  

df=n-1=9-1=8  

Since is a one sided test the p value would be:  

p_v =P(t_{(8)}  

Conclusion  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and is not enough evidence to conclude that the claim is true.

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