In order to reduce ANY fraction to lowest terms, find any common factors
of the numerator and denominator, and divide them both by it. If they still
have a common factor, then divide them by it again. Eventually, they won't
have any common factor except ' 1 ', and then you'll know that the fraction is
in lowest terms.
Do 15 and 40 have any common factors ?
Let's see . . .
The factors of 15 are 1, 3, <em>5</em>, and 15 .
The factors of 40 are 1, 2, 4,<em> 5</em>, 8, 10, 20, and 40 .
Ah hah ! Do you see that ' <em>5</em> ' on both lists ? That's a common factor.
So 15/40 is NOT in lowest terms.
Divide the numerator and denominator both by 5 :
15 / 40 =<em> 3 / 8</em>
3 and 8 don't have any common factor except ' 1 '.
So 3/8 is the same number as 15/40, but in lowest terms.
Answer:
329.5
Step-by-step explanation:
From the table we see that the common difference d = 0.5 - (-6.5)
= 7, and 7.5 - 0.5 = 7. Also 14.5 - 7.5 = 7.
The first term a1 = -6.5.
The nth term = a1 + (n - 1)d so for our sequence we have:
49th term = -6.5 + (49 - 1)7
= -6.5 + 48 * 7
= -6.5 + 336
= 329.5 (answer).
Answer:
E= 6.45
standard deviation is σ = 15,
The critical value is z(α/2) = 2.58.
Step-by-step explanation:
Margin error is the value that is lie above and below the sample.It gives percentage of numbers.Its is the product of critical value standard deviation and standard error of statistic.
General formula for the margin of error is
Margin of error = critical value × standard error of statistic
= 
× σ √n
z-value from two tailed is listed below:
From the table of standard normal distribution, probability value of 0.10.
row and column values gives the area to the two tail of z.
The positive z value is 2.58.
standard deviation is σ = 15,
The critical value is z(α/2) = 2.58.
after putting these vales we obtain the margin of error value that is
E= 6.45
Your answer would be 9 hours
Answer:YES
Step-by-step explanation:
YES
