The answer is: [D]: " y = x² + 2x + 2 " .
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For each increment in x, the output is multiplied by 2. The function could be written the way a geometric sequence can be written:
... f(x) = 5·2^(x-1)
Or, it could be simplified to ...
... f(x) = (5/2)·2^x
The first 5 terms will be
... 5, 10, 20, 40, 80
Answer:
7.083
Step-by-step explanation:
well there's the ones place, tenths, hundredths, and thousandths. easy math, unless i'm stoopid and this is wrong :D
Solution:
<u>A few definitions...</u>
- Rational number - Any integer, fraction, terminating decimal, or repeating decimal is classified as a rational number
- Irrational number - All the real numbers which are not rational numbers.
<u>Option A - Rational or Irrational?</u>
Since both are known as fractions, they are rational numbers.
<u>Option B - Rational or Irrational?</u>
√2 is classified as an Irrational number because if it is simplified, it does not result in any integer, fraction, terminating decimal, or repeating decimal.
<u>Option C - Rational or Irrational?</u>
- 1/√4 + 7/2
- => 1/2 + 7/2
- => 8/2 = 4
Since this is an integer, this is rational.
<u>Option D - Rational or Irrational?</u>
- √9 + √4
- => √3 x 3 + √2 x 2
- => 3 + 2 = 5
Since this is an integer, this is rational.
In conclusion...
Option B is correct.
Answer:
Probability of female P(f) = 0,575 or 57,5 %
Probability of physic majors P = 0,425 or 42,5 %
Step-by-step explanation:
a) Probability that a random selected student is female:
Let call P(f) such probability is P(f1) + P(f2)
we have to evaluate 2 branch of the tree, working as follows
1.Probability of students as physics major is P(f1)
17/40 and after that the probability of student physics majors being female is 7/17, Therefore for that side we have probability
P(f1) = ( 17/40)* (7/17) = 119/680
2.-Probability of students as female from 40 student is
16/40
Then P(f) = ( 119/680) + 16/40 P(f) = 391/680
P(f) = 0,575 or 57,5%
b) Probability of physics majosr is:
P(pm) = 17/40
P(pm) = 0,425 or 42,5 %
