Given a parallelogram ABCD with the measure of segment BC = (6 - x) units, the measure of segment AD = (x + 2) units.
Angle A measures (100 - y) degrees and angle C measures (12 + y) degrees.
Recall that for a parallelogram, <span>the opposite sides are of equal length and the opposite angles are of equal measure.
From the given parallelogram, segment BC is opposite to segment AD and angle A is opposite to angle C.
Thus, 6 - x = x + 2
2x = 4
x = 2
Therefore, the value of x is 2 and the length of segment BC is 6 - 2 = 4 units.
Similarly, 100 - y = 12 + y
2y = 88
y = 44
Therefore, value of y is 44 and the measure of angle DAB is 100 - 44 = 56 degrees.
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Answer:
A
Step-by-step explanation:
B,.C and D are wrong because
B states all. The hypothesis stated above does not mention all samples
.
C. Mentions a mean. Per the hypothesis, the percentage of defective screens was an actual number and not a mean.
D. The question is not referring to a standard deviation
We’re given two numbers - 1.46 and 0.751 - and since we know that they were both collected last week (although from two separate barrels), we want to add these two numbers up. Aligning the numbers up ( for example, the 1 in 1.46 should align with the 0 in 0.751 because they’re both in the ones place, or the place before the decimal), we get
1.46
+0.751
————
-.—1
To fill in the blanks, we want to start by adding the 6 and 5, which is 11. Since the first digit of 11 is 1, we can carry the 1 into the space to the left to get
1
1.46
+ 0.751
————-
-.-11
For the next digit, we have 4+7=11, but we add the one on the top to get 12. 12-10=2, so we have
1
1.46
+ 0.751
————-
-.211
Since 1+1+0=2, we have 2.211 as our answer.
Feel free to ask further questions!
Answer:
2.7%
Step-by-step explanation:
Since the probability of having and accident or exceed the deductible does not depend on the color of the car, the events are independent.
Recall that if two events A and B with probabilities P(A), P(B) of occurrence are independent, then
P(A ∩ B) = P(A)P(B)
There is a 300/1000 = 0.3 probability of choosing a random car. So, if the actuary randomly picks a claim from all claims that exceed the deductible,the probability that the claim is on a red car is
0.3*0.10*0.9 = 0.027 or 2.7%
Answer:
1519 pens
Step-by-step explanation:
add 9,645 to 18,836 and then subtract that number from 30,000
