9514 1404 393
Answer:
Step-by-step explanation:
When the equation of the line is in the form ...
y = mx + b
the coefficient 'm' is the slope of the line, and the value 'b' is the y-intercept, the point on the y-axis where the line crosses.
We say the line is "steeper" when the magnitude of the slope is greater. Line B, with its slope of 7 will be steeper than line A, with its slope of 3.
the new slope is steeper
__
The y-intercept of line A is -3. The y-intercept of line B is +1, so it crosses the y-axis above the point where line A crosses. One could say that line B is shifted up, when referring to the y-intercept.
Step-by-step explanation:
Vertical line => Slope is Undefined.
Answer:
The line between the points C and E is parallel to the line between the points F and B
The line between the points A and E is parallel to the line between the points B and D
The line between the points A and C is parallel to the line between the points F and D
<span>The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept.</span>
Answer:
1.7 × 10⁻⁴
Step-by-step explanation:
The question relates to a two sample z-test for the comparison between the means of the two samples
The null hypothesis is H₀: μ₁ ≤ μ₂
The alternative hypothesis is Hₐ: μ₁ > μ₂
Where;
= 13.5
= 12
σ₁ = 2.5
σ₂ = 1.5
We set our α level at 0.05
Therefore, our critical z = ± 1.96
For n₁ = n₂ = 23, we have;
We reject the null hypothesis at α = 0.05, as our z-value, 3.5969 is larger than the critical z, 1.96 or mathematically, since 3.5969 > 1.96
Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day and the probability that Alyse has a larger time than Jocelyn is 0.99983
Therefore;
The probability that Alyse has a smaller time than Jocelyn is 1 - 0.99983 = 0.00017 = 1.7 × 10⁻⁴.
