The x-axis is nearer to point B. Since the ratio PB:AB = 2/7 is positive, this indicates internal division of the line. We utilize the coordinate formula for a point dividing a line internally. Thus, x = (mx₂ + nx₁)/(m + n) and y = (my₂ + ny₁)/(m + n), where PB/AB = 2/7 translates to n/m, giving n = 2 and m = 7. With point A at (0,0) and point P at (10, -5), we substitute these coordinates to find x and y. The calculations yield coordinates for B at 7⁷/₉ and -3⁸/₉. Therefore, B is -3⁸/₉ units from the x-axis and 7⁷/₉ from the y-axis, confirming that the x-axis is closer to B.
Sample Answer: No, Ingrid's statement is incorrect. In this situation, the starting point is at 170 feet, which denotes the y-intercept. The reduction of 4 feet per year symbolizes the rate of change, or slope. In the slope-intercept equation format, y = mx + b, with 'm' denoting the slope and 'b' signifying the y-intercept, the accurate equation would be y = −4x + 170.
Response with clarification:
Let p denote the proportion of adults in the town who have encountered this flu strain.
According to the provided information
∵ 
this is a two-tailed test.
Test statistic:
, where p= denotes the population proportion
= signifies the sample proportion
n= represents the sample size
Setting n= 6 and 
and p=0.08
P-value for the two-tailed test:[2P(Z>|z|)
=2P(Z>|-0.415|)
=2P(Z>0.415) = 2[1-P(Z≤0.415)] [∵ P(Z>z)=1-P(Z≤z)]
=2(1-0.6609) [from the z-table]
=0.6782
Decision: Because the p-value(0.6782) exceeds the significance level of 0.01, we do not reject the null hypothesis.
This leads us to conclude that there is insufficient evidence to back the assertion that the percentage of all adults in this town exposed to this flu strain deviates from the national average of 8%.
Answer:
First, we must calculate the slope
m=Y2-Y1/X2-X1
= 9 - (-6) / 12 - (-8)
= 15/20
= 3/4
Therefore, the equation with the slope of 3/4 is Y=3/4x
