Ten boys agree to paint the gym in 5 days. If five more boys join in before the work begins, how many days should the painting t
2 answers:
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Proportion which can be used to represent equivalency of 3 feet in 1 yard and 12 feet in 4 yard is 3 : 1 : : 12 : 4
<h3><u>Solution:</u></h3>Given that
There are 3 feet in one yard
And there are 12 feet in 4 yard
Number of feet in one yard = 3 that is feet : yard = 3 : 1
Number of feet in 4 yards = 12 that is feet : yard = 12 : 4
And 3 feet in 1 yard is equivalent to 12 feet in 4 yards means
That is 3 : 1 : : 12 : 4
A proportion is statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a : b = c : d
Hence proportion which can be used to represent equivalency of 3 feet in 1 yard and 12 feet in 4 yard is 3 : 1 :: 12 : 4
Answer:
We can conclude that the battery life is greater than the 32 hour claim.
Step-by-step explanation:
The null hypothesis is:
The alternate hypotesis is:
Our test statistic is:
In which X is the statistic, is the mean,
is the standard deviation and n is the size of the sample.
In this problem, we have that:
So
We need to find the probability of finding a mean time greater than 37.8. If it is 5% of smaller(alpha = 0.05.), we can conclude that the battery life is greater than the 32 hour claim.
Probability of finding a mean time greater than 37.8
1 subtracted by the pvalue of z = t = 2.46.
z = 2.46 has a pvalue of 0.9931
1 - 0.9931 = 0.0069 < 0.05
So we can conclude that the battery life is greater than the 32 hour claim.