Answer:
p = 0.07
p-hat = 0.035
p0 = 0.07
p-value = 0.003
Step-by-step explanation:
p = population parameter, in this case, the rate of infestations across all trees in the forest
p-hat = test statistic, in this case, the rate of infestations found in the sample of trees, i.e. those in Doug's backyard
p0 = the null hypothesis, in this case, the rate of infestations within the forest is correctly evaluated at 0.07 or 7%
p-value = the likelihood any difference between p and p-hat is down to chance
In this case 0.003 as the p-value means there is only 0.3% probability of our statistic value of 0.035 being down to variability and chance meaning it is 99.7% likely that there is some reason behind this difference;
We would accept the alternative hypothesis which says the current parameter value, 0.07, is in fact incorrect (either too high or too low, in this case, likely too high).
Given:
Line a is perpendicular to line b
.
Line a passes through the points (1,-8) and (9,-12)
.
Line b passes through the point (-8, -16).
To find:
The equation of b.
Solution:
Line a passes through the points (1,-8) and (9,-12)
. So, slope of line a is
Product of slopes of two perpendicular lines is -1.
Slope of line b is 2.
If a line passing through a point 
with slope m, then equation of line is
Line b passing through (-8,-16) with slope 2. So, equation of line b is
Subtract 16 from both sides.
Therefore, the equation of line b is .
Answer:
180cm^2
Step-by-step explanation:
split it into 2 different triangles one is 24 x 4 and the other is 24 x 11 then add them together
24 x 4 is 96/2 is 48
24 x 11 is 264/2 is 132
add 48 + 132 to get an answer of 180 cm^2
if anything doesnt seem right just comment and i will try and figure out what has gone wrong
hope this helps :)
Answer:
<u>4 minutes</u>
Step-by-step explanation:
40=1 min
40=2 min
40=3 min
40=<u>4</u> min
40x4 or 40+40+40+40 is <u>160</u>
