To eliminate the fraction, we multiply by 4
<h3>How to eliminate the fractions?</h3>The equation is given as:
-3/4m-1/2=2+1/4m
Rewrite properly as:
The denominators of the above fractions are 2 and 4
The LCM of 2 and 4 is 4
So, we multiply through by 4.
This gives
-3m - 2 = 8 + m
Hence, to eliminate the fraction, we multiply by 4
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Answer:
see explanation
Step-by-step explanation:
The n th term of a geometric progression is
• = a₁
where a₁ is the first term and r the common ratio
given a₄ = 24, then
a₁ = 24 → (1)
Given a₈ = , then
a₁ =
→ (2)
Divide (2) by (1)
=
=
Hence r = =
Substitute this value into (1)
a₁ × ( )³ = 24
a₁ × = 24, hence
a₁ = 24 × 27 = 648
Answer:
= −0.26
= 0.4219
Step-by-step explanation:
Given:
Sample1: 98.1 98.8 97.3 97.5 97.9
Sample2: 98.7 99.4 97.7 97.1 98.0
Sample 1 Sample 2 Difference d
98.1 98.7 -0.6
98.8 99.4 -0.6
97.3 97.7 -0.4
97.5 97.1 0.4
97.9 98.0 -0.1
To find:
Find the values of and
d overbar ( ) is the sample mean of the differences which is calculated by dividing the sum of all the values of difference d with the number of values i.e. n = 5
= ∑d/n
= (−0.6 −0.6 −0.4 +0.4 −0.1) / 5
= −1.3 / 5
= −0.26
s Subscript d is the sample standard deviation of the difference which is calculated as following:
= √∑(
-
)²/ n-1
=
√
= √ (−0.6 − (−0.26 ))² + (−0.6 − (−0.26))² + (−0.4 − (−0.26))² + (0.4 −
(−0.26))² + (−0.1 − (−0.26))² / 5−1
=
=
=
= 0.4219
= 0.4219
Subscript d represent
μ represents the mean of differences in body temperatures measured at 8 AM and at 12 AM of population.