5 more than the quotient of a number and 8 is 42
2 answers:
Answer:
<u>The number is 296.</u>
Step-by-step explanation:
Let's call "x" to the number we are looking for.
Now, the problem states that "5 more than the quotient of a number and 8 is 42". This means that this number is being divided by 8, it's also being additioned 5 and the final result is 42. Therefore, the expression of this operations on this number is the following:
. Let's solve the equation to find x.
1. Write the expression.
2. Substract 5 from both sides and simplify.
3. Multiply 8 on both sides and simplify.
<u>We have found our number, it's 296!</u>
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Answer:
a) ii. This is a left-tailed test.
b) -1.59
c) -1.301
d) i. reject null hypothesis
e) Option i) The data supports the claim that college students get less sleep than the general population.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 7 hours
Sample mean, = 6.87 hours
Sample size, n = 45
Alpha, α = 0.10
Sample standard deviation, s = 0.55 hours
First, we design the null and the alternate hypothesis
a) We use one-tailed(left) t test to perform this hypothesis.
b) Formula:
Putting all the values, we have
c) Now,
Since,
d) We fail to accept the null hypothesis and reject it.
We accept the alternate hypothesis and conclude that mean number of hours of sleep for all college students is less than 7 hours.
e) Option i) The data supports the claim that college students get less sleep than the general population.