Answer:
b = -³¹⁄₃
Step-by-step explanation:
We can solve this Algebra equation by separating the variable and constants.
3b + 15 = -26 - 20
3b + 15 = -46
3b = -31
b = -³¹⁄₃
Considering that the hypothesis test found an statistically significant result, it is found that the correct option is:
c. probability of obtaining this finding by chance alone is less than some quantity.
<h3>What is an hypothesis test?</h3>
- When a hypothesis test, there are two hypothesis, the null and the alternative hypothesis.
- There is also a significance level.
- If the probability of obtaining the finding by chance is less than the significant value, the result is statistically significant.
Hence, according to these bullet points, option C is correct.
You can learn more about hypothesis tests at brainly.com/question/16313918
Answer:
Price of widget to break even= $37.9
Step-by-step explanation:
We are told that the equation representing the amount of profit, y, made by the company, in relation to the selling price of each widget, x is;
y = -8x² + 348x - 1705
Now, the company will break even when it has made no profit. That is when, y = 0
Thus;
0 = -8x² + 348x - 1705
Rearranging,
8x² - 348x + 1705 = 0
Using quadratic formula ;
x = [-b ± √(b² - 4ac)]/2a
x = [-8 ± √(-348² - 4•1•1705)]/(2 x 8)
x = $5.63 or $37.87
We'll use $37.87 because it is the highest price for which no profit is made, and higher price means that we could sell least number of products to earn a certain amount of money.
We are told to approximate to nearest cent. Thus,
Price of widget = $37.87 ≈ $37.9
Answer: x = 0.421053y+5.263158
Step-by-step explanation:
x = 0.421053y+5.263158