Solve the equation: −2(4x−1.5) = 35
1 answer:
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Answer:
D
Step-by-step explanation:
Using the rules of exponents
×
=
and
=
Given
× 2² =
=
= c , hence
c = =
=
→ D
Answer:
The minimum value is 0.51
Median=Q2= 1.18
Max = 1.49
Step-by-step explanation:
We assume the following dataset:
1.18,1.41, 1.49,1.04,1.04,0.74,0.89,1.42,1.45,0.51,1.38
We order the dataset on increasing way and we have:
0.51 0.74 0.89 1.04 1.04 1.18 1.38 1.41 1.42 1.45 1.49
The minimum value is 0.51
The first quartile Q1 can be calculated with the first 6 observations: 0.51 0.74 0.89 1.04 1.04 1.18. The Q1 would be the average between the 3rd and 4th position:
For the median since the number of data represent an odd number than the median would be the position in the middle (6th)
Median=Q2= 1.18
The first quartile Q1 can be calculated with the last 6 observations: 1.18 1.38 1.41 1.42 1.45 1.49. The Q1 would be the average between the 3rd and 4th position:
And the maximum value for this case would be:
Max = 1.49
We can see the boxplot obtained on the figure attached.
Solution:
The number 624 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 624. The first step is to divide the number 624 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.
624 ÷ 2 = 312
312 ÷ 2 = 156
156 ÷ 2 = 78
78 ÷ 2 = 39
Further dividing 39 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 39 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.
Then, the prime factors of 624 are 2, 3, 13, and we have that the prime factorization of 624 is:
So that, we can conclude that the solution is: