Question 1:
Conclusion: ∠DAY + ∠YAK = 180°
Justification: definition of linear pair
Question 2:
Conclusion: Point U is the midpoint of RN
Justification: RU=UN, definition of midpoint
Question 4:
Conclusion: ∠3 = ∠7
Justification: definition of alternate interior angles
Question 5:
Conclusion: ∠ABD = ∠DBC
Justification: definition of bisector
Question 6:
Conclusion: ∠2 and ∠3 are supplementary angles
Justification: definition of supplementary angles
Sorry question 3, don't know what it's trying to say
Answer:
0.3811 = 38.11% probability that he weighs between 170 and 220 pounds.
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 he weighs between 170 and 220 pounds.
This is the pvalue of Z when X = 220 subtracted by the pvalue of Z when X = 170.
X = 220
has a pvalue of 0.6554
X = 170
has a pvalue of 0.2743
0.6554 - 0.2743 = 0.3811
0.3811 = 38.11% probability that he weighs between 170 and 220 pounds.
Answer:
The value of Mode is 2.43
Step-by-step explanation:
- To find the mode of the given data first we have to arrange it in a increasing order then find out mean and median of the given data
- 0.7,1.7,3,3.2,4.1,5.9,6.6,8.9 is in increasing order
- For finding the median we need to take the average of 4th and 5th terms because we have the no of terms in the sequence is even not odd so we need to take the average the 4th term=3.2 and the 5th term =4.1
- so average =(3.2+4.1)/2=3.65
- so the median is equal to 3.65
- For mean we have to take the average of the data
- so mean= sum of all data /no of data
- mean =(0.7+1.7+3+3.2+4.1+5.9+6.6+8.9)/8=4.26
- so by using the formula we can get mode
- <em>Mode=3×Median-2×Mean</em>
- Mode=3×3.65-2×4.26=2.43
- ∴The value of Mode is given as 2.43
Answer:
520 Students
Step-by-step explanation:
If you multipy 650 by .8 you will get 520 and that is the percentage of students that is going.
The name of the ray shown would be: C. ray AG.
<h3>What is a Ray?</h3>
A ray can be defined as a part of a line which has a fixed starting point that is called an endpoint and extends to infinity towards the opposite direction of the fixed point, called the endpoint.
<h3>How to name a Ray?</h3>
The first letter to use when naming a ray is the letter of the endpoint, which is the starting point of the ray, then use another letter that the ray passes through to infinity. There would be only one arrow head facing the right, drawn on top of the letters used in naming the ray.
The image shows an endpoint of A, which marks the starting point. The line extends from G to infinity as well.
Therefore, the name of the ray shown would be: C. ray AG.
Learn more about ray on:
brainly.com/question/1850410
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