Answer:
a. The percentage of all taxpayers who file electronically is 58%
b. 654 people used an accountant or professional tax preparer preparing the tax return
Step-by-step explanation:
According to the given data, in order to estimate the percentage of all taxpayers who file electronically, we would have to make the following calculation:
percentage of all taxpayers who file electronically=<u>634×</u>100%=0.58
1,091
Hence, the percentage of all taxpayers who file electronically is 58%
In order to calculate how many people used an accountant or professional tax preparer for preparing the tax return, we would have to make the following calculation:
people used an accountant or professional tax preparer= <u>60%</u>×1,091=654
100%
654 people used an accountant or professional tax preparer preparing the tax return.
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
Answer:
48 liters
Step-by-step explanation:
First container = x
Second container has twice as much oil.
Second container = 2x
13 liters of oil was used from first container.
x - 13
7 liters of oil was used from the second container.
2x - 7
Second container has 3 times more oil than the first one.
2x - 7 = 3(x - 13)
x - 7 = 3(x - 13)
x - 7 = 3x - 39
2x = 32
x = 16
First container = 16 liters
second container = 16 x 2 = 32 liters
Total = 16 + 32 = 48 liters
The domain of a function is the set of values for which the function is defined; i.e. the function outputs a value for an input from the domain. That means that we must be able to plug in numbers for x and get numbers from y.
We can't take the square root of negative numbers (ignoring imaginary numbers), so that means we can take the square root of any non-negative number; i.e. we can take the square root of zero, and any positive number.
Therefore, any function that can take in values of x that are zero or more than zero has the same domain as the given function. So

is a function that has the same domain as

.
1: Assuming this line is linear, the first thing to do is find the slope.
The slope formula is

, so in this case, it is

, which comes to

. Then, use your slope and one of the points given to write the point-slope formula of the linear equation, and then written in standard form:
y=

x-

.
2. Use the same process as in question 1 to find:
y=-7x+11