Answer:
Domain is [-4, 4]
Range is [0, 4]
Step-by-step explanation:
Domain is the fancy name for the values of x that works for the graph (input), in this case, from -4 to 4, inclusive.
Range is the fancy name for the values of y that works for the graph (output), in this case, from 0 to 4, inclusive.
Answer:
52° and 38°
Step-by-step explanation:
The two angles form a singular right angle.
The value of 'x' is 19.
The measure of angle 1 is 52 degrees.
The measure of angle 2 is 38 degrees.
Hope this helps.
Answer:
sqrt 11
Step-by-step explanation:
Pythagorean theorem again. a^2+b^2=c^2. The hypotenuse is the c value. One of the legs is either a or b, doesn't matter which. So you can make the equation 5^2+b^2=6^2. 25+b^2=36. Subtract 25 from each side to isolate the b variable. You're left with b^2=11. Now you take the square root of each side to get b. This makes b= sqrt 11.
So lets go step by step, first lets see how much Reagan spent, that is 2 banana splits, $3.25 each, that is:
total spent = 2*3.25 = 6.50
So Reagan spent $6.50 of her weekly allowance, and the problem says that $6.50 represents 26% of her weekly allowance, the question is to find out how much represents the 100% of her weekly allowance.
We can solve this using a rule of three, simple, with direct proportion:
26% -----> $6.50
100% ----> x
x = (100)(6.50)/26 = 650/26
x = 25
therefore Reagan's weekly allowance is $25
The expected value of the game is the mean value of the game
The expected value of the game is $1
<h3>How to determine the expected value?</h3>
There are 13 spades in a deck of card of 52
So, the probability of selecting a spade is:
P(Spade) = 13/52
Simplify
P(Spade) = 1/4
Winning = $7
The probability of not selecting a spade is:
P(Not spade) = 1 - 1/4
Simplify
P(Not spade) = 3/4
Lose = $1
The expected value of the game is:
This gives
Simplify
Evaluate
Hence, the expected value of the game is $1
Read more about expected values at:
brainly.com/question/15858152
