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:
x + 5 = 5
Step-by-step explanation:
Solution doesn't change as the x in the equation is 0 and the answer totals as 5 due to 5 plus 0 being 5
<h2>
The required "option B) 60°" is correct.</h2>
Step-by-step explanation:
In question figure,
∠ YUV = 40°, ∠ XUY = 105° and ∠WUX = 155°
To find, the value of ∠ VUW = ?
We know that,
The circle having 360°
∴ ∠ VUW + ∠ YUV + ∠ XUY + ∠WUX = 360°
⇒ ∠ VUW + 40° + 105°+ 155° = 360°
⇒ ∠ VUW + 300° = 360°
⇒ ∠ VUW = 360° - 300°
⇒ ∠ VUW = 60°
∴ The value of ∠ VUW = 60°
Hence, the required "option B) 60°" is correct.
Answer:
a. Yes
b. No
Step-by-step explanation:
To find if an ordered pair is a solution to the inequality, substitute its x and y values for the x and y in the inequality and solve. If the equation is true, then it is a solution. If it is not, then it is not a solution.
1) First, substitute the x and y values of (3, 1) into the inequality. So, substitute 3 for x and 1 for y:

1 is greater than or equal to 1, so (3,1) is a solution.
2) Second, do the same with the point (1, -4). Substitute 1 for x and -4 for y:

However, -4 is not greater than or equal to -3, thus (1, -4) is not a solution.
Answer:
what are the choices???
Step-by-step explanation: