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Pani-rosa [81]
3 years ago
12

What is the difference of them fractions 1/5 - 3/4

Mathematics
1 answer:
nikdorinn [45]3 years ago
6 0

Answer:

-0.55 or -11/20

Step-by-step explanation:

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The life in hours of a biomedical device under development in the laboratory is known to be approximately normally distributed.
Anton [14]

Answer:

a) The evidence suggest the true mean life of a biomedical device > 5500

b) (5487.94, +∞)

c) There is evidence to support that the mean is equal to 5500

Step-by-step explanation:

Here we have

(a) To test the hypothesis we have the claim that the mean life of biomedical devices > 5500

Therefore, we put the null Hypothesis which is the proposition that a difference does not exist. That is

H₀:  μ = 5500

Therefore, the alternative hypothesis will be

Hₐ:  μ > 5500

The test statistic is then found by;

t=\frac{\bar{x}-\mu }{\frac{s }{\sqrt{n}}} =\frac{5617.8-5500 }{\frac{234.5 }{\sqrt{15}}} \approx 1.95

The P value from the T table at df = n - 1 = 15 - 1 = 14 is

0.025 < P < 0.05

The P value is given as 0.036 from the T distribution at 14 derees of freedom df

Therefore, since P < α or 0.05, we reject the null hypothesis. That is we fail to reject Hₐ:  μ > 5500. The evidence suggest the true mean life of a biomedical device > 5500

(b) The 95% confidence interval is given as

CI=\bar{x}\pm t_\alpha \frac{s}{\sqrt{n}}

Which gives    t_\alpha =  \pm2.145

CI=5617.8\pm 2.145 \times \frac{234.5}{\sqrt{15}}

The confidence interval of the lower bound on the mean is then

(5487.94, +∞)

c) From the above result, we find that the mean of 5500 is contained in the range of the lower confidence on the mean. We can therefore, accept the null hypothesis. That is there is evidence to support that the mean is equal to 5500.

6 0
3 years ago
M2 = 272 182 – 2(27)(18)cos(28°) m2 = 729 324 – (972)cos(28°) m2 = 1053 – (972)cos(28°) to the nearest whole number, the value o
RideAnS [48]
M2= 2272134.32...2272134    
m2= 728465.7749 ...728466
m2= 194.7749...m2= 195.





8 0
3 years ago
The temperature decreased by 11 degrees. Enter an integer that represents this situation in the box.
algol13
A decrease means it is going into the negative direction on the number line.
This is represented by the integer -11.
7 0
3 years ago
Read 2 more answers
What is the average rate of change of f over the interval [3,4]?
masya89 [10]

Answer:

4

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [ a, b ] = [ 3, 4 ] , then

f(b) = f(4) = - 1 ← from table

f(a) = f(3) = - 5 ← from table , then

average rate of change = \frac{-1-(-5)}{4-3} = \frac{-1+5}{1} = 4

3 0
3 years ago
A machinist uses a special tool to measure the diameter of a small pipe. The measurement tool reads 0.276 inch. What is this mea
Oliga [24]
I believe it should be .3 because its rounded to the nearest tenth
4 0
3 years ago
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