<h2>
Answer: slope = - ¹³/₁₇
</h2>
Step-by-step explanation:
The question gives us two points, (9,-6) and (-8,7), from which we can find the slope and later the equation of the line.
<u>Finding the Slope </u>
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (7 - (- 6)) ÷ (-8 - 9)
= - ¹³/₁₇
<em><u>Checking my answer:</u></em>
Finding the Equation
<em>We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:</em>
<em> ⇒ </em><em>y - (-6) = - ¹³/₁₇ (x - 9)</em>
<em> </em>
<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>
Answer:
A:
Step-by-step explanation:
***I'm pretty sure A should read "NO, because the test value 1.257 is less than the critical value 1.782. Please check the wording of the problem***
H0 : μ ≤ 400
Ha : μ > 400 (claim)
Sample mean: 6,155/13
Sample standard deviation: √44422.4359
Critical test value:
t > 1.782
t = (6,155/13 - 400)/[(√44422.4359)/√13] = 1.257
1.257 < 1.782 ; we fail to reject the null hypothesis
There is not enough evidence at the 5% level of significance to support the claim that the mean battery life is at least 400 hours.
Answer:
y = (9/4)x + 2, given that I've assume the correct meaning of "-5x4."
Step-by-step explanation:
A parallel line has the same slope as the reference line,
The reference line is 9x-4y = -5x4, as written. I'm not sure the 4 belongs, but I'll assume it is written correctly. I'm not sure if the term -5x4 is meant to mean -5x^4, -20x or -20. I'll assume -20:
9x-4y = -20
Put the equation into standard slope-intercept form: Y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).
-4y = -9x - 20
y = (9/4)x + 5
This line has a slope of (9/4). The parallel line will have the same slope.
y = (9/4)x + b
We can find a value of b that would shift this line to include (4,7) by using this point in the equation:
y = (9/4)x + b
7 = (9/4)(4) + b
7 = 9 + b
b = 2
The equation of a line parallel to the reference line is y = (9/4)x + 2
Answer:
The answer is spreadsheet
