1) Yes, it is arithmetic, the common difference is -3. To find this, subtract any number from the number after it.
32 - 35 = -3
2) yes, it is arithmetic, the common difference is -20. To find this, subtract any number from the number after it.
-23 - -3 = -20
3) yes, it is arithmetic, the common difference is -30. To find this, subtract any number from the number after it.
-64 - -34 = -30
4) yes, it is arithmetic, the common difference is -10. To find this, subtract any number from the number after it.
-40 - -30 = -10
yes, it is arithmetic, the common difference is -2. To find this, subtract any number from the number after it.
-9 - -7 = -2
yes, it is arithmetic, the common difference is 5. To find this, subtract any number from the number after it.
14 - 9 = 5
tan 52 = 180/a; a = 180/tan 52
tan 43 = 180/b; b = 180/tan 43
you need to calculate, a-b = 180/tan 52 - 180/tan 43
substitute the value of tan thetas, and calculate it simply...
Answer:
a) 0.0016
b) 0.0224
Step-by-step explanation:
If every question has 5 possible answers, the probability of getting the correct answer by guessing would be 0.20. The probability of getting an incorrect answer would be 0.80.
a)Find the probability she lucks out and answers all four questions correctly.
To do this, Allison would have to guess right the first, second, third AND fourth answers. Therefore, we have to multiply the probabilities:
0.20 x 0.20 x 0.20 x 0.20 = 0.0016
The probability that she answers all 4 questions correctly is 0.0016.
b) Find the probability that she passes the quiz.
To pass the quiz, she has to have three OR 4 correct answers:
- The probability that she has 3 correct answers is: 0.20 x 0.20 x 0.20 x 0.80 (since she has to have 1 correct answer and 1 incorrect one) = .0064.
- We already calculated the probability that she guesses 4 answers correctly: 0.0016.
Now, we have to sum up these two scenarios:
0.0064 + 0.016 = 0.0224.
Thus, the probability that she passes the quiz is 0.0224
The values of angles are 140 and 20
• In plane geometry, a figure which is formed by joining of two lines that share a common point is called as the angle. The two lines or rays are called as the sides of the angle and the common point is called the vertex.
• In geometry there are types of angles such as complementary angles, supplementary angles, acute angle, obtuse angles. Complementary angles are the angles whose sum is equal to 90. Supplementary angles are the angles whose sum is equal to 180.
According to the question
We are given that one angle is -7x and the other angle is -2x
Using formula of supplementary angles
-7x + (-2x) = 180
-7x -2x = 180
-9x = 180
-x = 20
x = -20
The value of x is -20
The value of angle – 7x = -7(-20) = 140
The value of angle -2x = -2(-20) = 40
Learn more about angles here
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