Answer:
x-int: (8/3, 0)
y-int: (0, -32/3)
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
x-intercept is the x-value when y = 0
y-intercept is the y-value when x = 0
Step 1: Write equation
2x - 1/3 = 1/2y + 5
Step 2: Subtract 5 on both sides
2x - 16/3 = 1/2y
Step 3: Multiply 2 on both sides
4x - 32/3 = y
Step 4: Rewrite
y = 4x - 32/3
Step 5: Find x-int
0 = 4x - 32/3
32/3 = 4x
x = 8/3
(8/3, 0)
Step 6: Find y-int
y = 4(0) - 32/3
y = 0 - 32/3
y = -32/3
(0, -32/3)
Answer: the probability that a selected cup will be overfilled is 0.16
Step-by-step explanation:
Since amount of hot chocolate dispensed by a hot chocolate machine is normally distributed,
we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = amount of hot chocolate dispensed by a hot chocolate machine.
µ = mean
σ = standard deviation
From the information given,
µ = 16.0 oz
σ = 2 oz
We want to find the probability that a selected cup will be overfilled. Since the cup can hold 18.0 oz, the expression would be
P(x > 18) = 1 - P(x ≤ 18)
For x = 18,
z = (18 - 16)/2 = 1
Looking at the normal distribution table, the probability corresponding to the z score is 0.84
P(x > 18) = 1 - 0.84 = 0.16
13 is the answer because you times 2 and -5 that's -10 and then you subtract -3 and that -13 and the absolute symbols change it to positive 13
The amount of interest after 3 years will be $15.
The complete question is given below.
You loaned a friend $100 and will charge him 5% annual simple interest when he pay it back. What is the amount of interest after 3 years?
<h3>What is simple interest?</h3>
Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
The interest is given as
I = (P × R × T) / 100
Where, P is the initial amount, R is simple interest rate, and T is the time.
We have
P = $100
R = 5%
T = 3 years
Then the interest will be
I = (100 × 5 × 3) / 100
I = $15
More about the simple interest link is given below.
brainly.com/question/2793278
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