Answer:
324°
Step-by-step explanation:
Totak angles in a 7 sided polygon = 900°
Side A = 3
Side B = 1
Side C = 4
Side D = 1
Side E = 5
Side F = 9
Side G = 2
Total = 25
The largest angle has the largest ratio which is side F
Angle in side F = Ratio of side F / total ratio × 900°
= 9/25 × 900°
= 0.36 × 900°
= 324°
The largest angle = 324°
The smallest angles are angles with the lowest ratio which are side B and side D
Angle in side B = Ratio of side F / total ratio × 900°
= 1/25 × 900°
= 0.04 × 900°
= 36°
The smallest angles are angles 36°
<span>(5, 0) and (5, -2) are the two points that are on the line x=5. This is some basic math.
Hope it helps :)</span>
Answer:
0.3182 = 32.81% probability that a randomly selected acre has between 32647 and 43559 ants.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
Find the probability that a randomly selectd acre has between 32647 and 43559 ants.
This is the pvalue of Z when X = 43559 subtracted by the pvalue of Z when X = 32647. So
X = 43559:
has a pvalue of 0.5517.
X = 32647:
has a pvalue of 0.2236
0.5517 - 0.2236 = 0.3281
0.3182 = 32.81% probability that a randomly selected acre has between 32647 and 43559 ants.
The incorrect step in Talia's solution is the step 4 which is "step 4 is incorrect because it shows and incorrect substitution of slope value into the point-slope form". The correct steps are as follow:
step 1: choose a point on the line which is (2,5)
step 2: choose another point on the line which is (1,3)
Step 3: determine the slope which is m = rise / run. The line runs 1 unit and rises 2 units so the slope is m = 2/1
step 4: substitute point on the line (2,5) and the slope of the line such as:
y-y1 = m (x-x1)
y-5 = 2 (x-2)
This is the correct steps.
