Which system of equation should you use to solve this problem
1 answer:
Last option is the correct answer.
Step-by-step explanation:
Given that
Let x stand for the solution a and y stand for the solution B
So,
According to statement that
30 gallons have to be made
Solution A contains 29 percent bromine => 0.29x
Solution B contains 53 percent =>0.53y
And the mixture of 30 gallons contains 45% bromine
Following equations will be used for solving the problem
Hence,
Last option is the correct answer.
Keywords: Equations, Variables
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recall, for the scientific notation, it has to be using some power of 10, and the exponent of the base 10, is how many slots you're away from the <u>decimal point</u>. 0.007 uses 10⁻³ because 7.0 or 7. when we make it 0.007, we have to move the decimal point from in front of the 7 3 slots over to the left. Likewise, the 7000 is using 10³, because we moved the dot from 7. to 7000. , namely 3 slots to the right.
the missing value is there in the middle, notice is "7".
well, we can say that 7 is using 10⁰, however most of the time the 10⁰ is omitted and we settle for 7 alone, however scientific notation wise, that'd be it.
Answer:
Since is a one sided test the p value would be:
If we compare the p value and the significance level given we see that
so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the mean time for the new treatment is significantly lower than the time for the standard treatment at 5% of significance.
Step-by-step explanation:
New: 12, 13,15,19,20,21
Standard: 18,23,24,30,32,35
We can calculate the sample mean and deviation with the following formulas:
Data given and notation
represent the mean for the new case
represent the mean for the standard case
represent the sample standard deviation for the new case
represent the sample standard deviation for the standard case
sample size selected for the standard case
sample size selected for the new case
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if recovery time for patients who receive the new treatment is less than the mean for patients who receive the standard treatment, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the samples both are less than 30 so for this case is better apply a t test to compare means, and the statistic is given by:
(1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other".
Calculate the statistic
We can replace in formula (1) the info given like this:
P-value
The first step is calculate the degrees of freedom, on this case:
Since is a one sided test the p value would be:
Conclusion
If we compare the p value and the significance level given we see that
so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the mean time for the new treatment is significantly lower than the time for the standard treatment at 5% of significance.