How to get the answer to 2/3(3x+6)=4x+3 without using distributive property.
1 answer:
The answer for the given equation is x = 3.5.
<u>Step-by-step explanation</u>:
Given, 2 / 3 (3x + 6) = 4x + 3
Step 1:
Rearranging the given equation by subtracting the right side of the equation to the left side.
2 / 3 (3x + 6) - 4x + 3 = 0
Step 2:
Taking out the like terms, the equation becomes
(2 / 3) 3 (x + 2) - (4x - 3) = 0
⇒ 2 (x + 2) - (4x - 3) = 0
Step 3:
Solving the equation for the value of x,
⇒ 2x + 4 - 4x + 3 = 0
⇒ -2x + 7 = 0
⇒ -2x = -7
⇒ x = 7 / 2 = 3.5.
Hence the value of x = 3.5.
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Answer:
a) The difference is of 35 beats per minute.
b) So 3.07 standard deviations below the mean.
c) Z = -3.07.
Step-by-step explanation:
Z-score:
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In this question:
Mean , standard deviation
a. What is the difference between the pulse rate of 39 beats per minute and the mean pulse rate of the? females?
39 - 74 = -35
The difference is of 35 beats per minute.
b. How many standard deviations is that? [the difference found in part? (a)?
|Z| when X = 39. So
|Z| = 3.07
So 3.07 standard deviations below the mean.
c. Convert the pulse rate of 39 beats per minutes to a z score.
From item b. above, Z = -3.07.