The increasing number pattern shown was made using a rule.
2 answers:
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There are 25 $10 bills and 11 $20 bills.
Step-by-step explanation:
Given,
Worth of proceeds from garage = $470
Let,
x be the number of $10 bills
y be the number of $20 bills.
According to given situation;
10x+20y=470 Eqn 1
x = y+14 Eqn 2
Putting value of x from Eqn 2 in Eqn 1
Dividing both sides by 30
Putting y=11 in Eqn 2
There are 25 $10 bills and 11 $20 bills.
Keywords: linear equation, substitution method
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Answer:
A) Fail to reject the null hypothesis because 34 falls in the 95% confidence interval.
Step-by-step explanation:
We are given the following information in the question:
A 95% confidence interval for a population mean is (28, 35)
Alpha, α = 0.05
The null and the alternate hypothesis are:
- A confidence interval also known as the acceptance region, is a set of values for the test statistic for which the null hypothesis is accepted.
- If the observed test statistic lies in the confidence interval then we accept the null hypothesis and reject the alternative hypothesis.
- If the observed test statistic is in the critical region then we reject the null hypothesis and accept the alternative hypothesis.
Hence, we fail to reject the null hypothesis and accept it because 34 falls in the 95% confidence interval.