Answer:
a. 4.33.
Step-by-step explanation:
If there is only one correct answer out of four alternatives, the expected proportion of correct answers is p =0.25
Sample size (n) = 100 questions
The standard deviation of a proportion 'p' is given by:

Applying the given data:

If X is the number of correct responses in 100 guesses, the standard deviation of X is:

The standard deviation of X is 4.33 questions.
Answer:
52
Step-by-step explanation:

(I replaced
with
since we are to find
.)
(By the order of operations, we take care of the exponents before whatever else we have here.)
(By the order of operations, we take care of the multiplication as we see if left to right.)
(By the order of operations, we perform addition/subtraction as we see it left to right.)
(This completes the simplification.)
We could have also put this in our calculator as:
4(4)^2 - 2(4) - 4
This would have returned 52.
Since that angle all together is 180, 100 is 2z-10 and z is 55
Simplifying
2x + -3(3 * 0.6x + 2.7)
Multiply 3 * 0.6
2x + -3(1.8x + 2.7)
Reorder the terms:
2x + -3(2.7 + 1.8x)
2x + (2.7 * -3 + 1.8x * -3)
2x + (-8.1 + -5.4x)
Reorder the terms:
-8.1 + 2x + -5.4x
Combine like terms: 2x + -5.4x = -3.4x
-8.1 + -3.4x
Answer:
there are forty odd numbers
Step-by-step explanation: