Write – 0.425 as a fraction in simplest form.
1 answer:
<em>Hi there!</em>
<em>This should be easy,lol!</em>
<em>Answer:</em>
<em /><em />
<em>Step-by-step explanation:</em>
<em>Rewrite the decimal number as a fraction with 1 in the denominator.</em>
<em>Then </em>
<em>Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000</em>
<em>And then....</em>
<em>Find the Greatest Common Factor (GCF) of 425 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 25.</em>
<em>Therefore x = -17/40</em>
<em> In conclusion, – 0.425 = -17/40</em>
<em>Have a great day/night!</em>
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The height of tower A is 1016 feet and tower B is 212 feet.
<u><em>Explanation</em></u>
Suppose , the height of tower B is feet.
As the height of tower A is 802 feet more than tower B , so the height of tower B will be :
Given that, the two towers have a combined height of 1226 feet.
So, the equation will be...
Thus, the height of tower B is 212 feet and height of tower A is (212+802) feet = 1016 feet.
Answer:
If we compare the the p value with the significance level provided , we see that
, so then we can reject the null hypothesis. and there is a significant increase in the miles per gallon from 2017 to 2019 at 10% of significance.
Step-by-step explanation:
Previous concepts
A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations (This problem) we can use it.
Let put some notation :
x=test value 2017 , y = test value 2019
x: 28.7 32.1 29.6 30.5 31.9 30.9 32.3 33.1 29.6 30.8 31.1 31.6
y: 31.1 32.4 31.3 33.5 31.7 32.0 31.8 29.9 31.0 32.8 32.7 33.8
Solution to the problem
The system of hypothesis for this case are:
Null hypothesis:
Alternative hypothesis:
Because if we have an improvement we expect that the values for 2019 would be higher compared with the values for 2017
The first step is calculate the difference and we obtain this:
d: 2.4, 0.3, 1.7,3,-0.2, 1.1, -0.5, -3.2, 1.4, 2, 1.6, 2.2
The second step is calculate the mean difference
The third step would be calculate the standard deviation for the differences, and we got:
We assume that the true difference follows a normal distribution. The 4th step is calculate the statistic given by :
The next step is calculate the degrees of freedom given by:
Now we can calculate the p value, since we have a right tailed test the p value is given by:
If we compare the the p value with the significance level provided , we see that
, so then we can reject the null hypothesis. and there is a significant increase in the miles per gallon from 2017 to 2019 at 10% of significance.