Answer:
5
Step-by-step explanation:
Absolute value |x| makes any number positive.
|5| = 5
Answer:
57
Step-by-step explanation:
The player has a 1/4 chance of drawing any of the 4 prizes. This means that the probability of drawing a prize of $4 is 1/2 because there are 2 prizes worth of $4. The probability of drawing a prize of $20 is 1/4 and the probability of drawing a prize of $200 is also 1/4. To find the fair price of the game, we have to calculate the expected value that the player will gain. This can be obtained by multiplying any possible value of a price for the probability of drawing a prize of that value and adding all the obtained values togueter. Thus, the fair price of the game is
The lines that are the directrices of the ellipse is B. x = −3.25 and x = 9.25.
<h3>How to calculate the ellipse? </h3>
From the information given, the equation of parabola will be:
= (x - 3)²/5² + (y - 2)²/3² = 1
Hence, h = 3, k = 2, a = 5, b = 3
e = ✓1 - ✓3²/5²
E = 4/5 = 0.8
The directix will be:
x = 3 + 5/0.8
x = 9.25
x = 3 - 5/0.8
x = -3.25
Therefore, lines that are the directrices of the ellipse is x = −3.25 and x = 9.25.
Learn more about ellipse on:
brainly.com/question/16904744
Answer:
the margin of error is 0.05
Step-by-step explanation:
Margin of error = confidence interval ÷ 2
MOE = CI ÷ 2
Confidence interval CI = 0.2 - 0.1 = 0.1
MOE = CI ÷ 2 = 0.1 ÷ 2 = 0.05
the margin of error is 0.05
Answer: x=4
Step-by-step explanation:
firstly you solve the barracks first by multipy 2 into ( x+8) after that you collect like terms on one side of the equation or make x become the subject of the equation and solve for x
