The reciprocal is the flipped value so it will be11/9
Answer:
y=.1x+40; Your total monthly bill is $48 for 80 text messages.
Step-by-step explanation:
y is your total bill
x represents each text message
40 is you cellphone bill cost
.1 is the cost per text message
(y=.1x+40 becomes your equation)
plug 80 to represent "x"
y=.1*80+40 ---> y=48
your total monthly bill is $48
Answer:
An important property of equations is one that states that you can add the same quantity to both sides of an equation and still maintain an equivalent equation. If you think of an equation as being like a balance scale, the quantities on each side of the equation are equal, or balanced.
Step-by-step explanation:
Answer: x = 7 or x = -8
x² + x - 56 = 0
⇔ x² + 8x - 7x - 56 = 0
⇔ x(x + 8) - 7(x + 8) = 0
⇔ (x - 7)(x + 8) = 0
⇔ x - 7 = 0
or x + 8 = 0
⇔ x = 7 or x = -8
Step-by-step explanation:
Part A
Use the binomial probability distribution formula.
p = 0.54 = probability of getting a purple marble
n = 5 = sample size
x = 2 = number of purple we want to get

The
portion is from the nCr combination formula. The exclamation marks indicate a factorial.
Alternatively, you could use Pascal's Triangle for that portion.
<h3>Answer: 0.283831776</h3>
This decimal value is exact. Round it however you need to.
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Part B
To find the expected value, aka the mean, we multiply the sample size and probability of getting a purple marble on any single selection.
n*p = 5*0.54 = 2.7
<h3>Answer: 2.7</h3>