Answer:64
Step-by-step explanation:
67
That would be :
4x – 10 = x2 – 5x + 10 ( y = 4x - 10 is substitute for y)
PROOF: y + 5x = x²<span> + 10
</span> (4x - 10) + 5x = x² + 10
4x - 10 = x² -5x + 10
<span>
</span>0 = x2 – 9x + 20<span> (liked terms are grouped and simplified)
PROOF: </span> 4x - 10 = x² -5x + 10
4x = x² -5x + 10 + 10
0 = x² -5x -4x + 20
0 = x² - 9x + 20
Solving:
x² - 9x + 20 = 0
x² - 5x - 4x + 20 = 0
(x - 5) (x - 4) = 0
⇒ x = 4 (as question says) OR x = 5
Answer:
Step-by-step explanation:
2,57 divided by 1.5 equals
1.713
The required expected population proportion that prefers to shop at places with loyalty cards is between 54.6% and 61.4%.
Given That,
In a survey conducted by a retail store, 58% of the sample respondents said they prefer to shop at places with loyalty cards. if the margin of error is 3.4%.
<h3>What is population proportion?</h3>
A population proportion is defined as the percentage of a population that belongs to a individual category. Certainty gaps are used to evaluate population proportions.
Here, the margin of error is 3.4%.
expected population proportion = 58% ± 3.4%
expected population proportion interval = (58% - 3.4%, 58% + 3.4%)
expected population proportion interval = (54.6%, 61.4%).
Thus, The required expected population proportion that prefers to shop at places with loyalty cards is between 54.6% and 61.4%.
Learn more about population proportion here.
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Answer:
6/8 is an equivalent fraction of 3/4.
We can find some other equivalent fractions by multiplying the numerator and the denominator of the given fraction by the same number. Thus, the equivalent fractions of 3/4 are 6/8, 9/12, 12/16, and 15/20.
