Answer:15 ft
Step-by-step explanation:
Given
The total perimeter needed is
The available width of the room is
Suppose l is the length of the room
So, the perimeter of a rectangle-shaped room is
Putting values
3(x-2)+6=4(2-x) simplified to an improper fraction
1 answer:
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Answer:
19 million
Step-by-step explanation:
So generally whenever we express a exponential function, it's in the form:
where a=initial value aka when x=0
in this case, b can be expressed as: , where r is the growth rate, which in this case is 2.13%, and expressing that as a decimal (divide by 100), r=0.0213, thus b=1.0213
This gives us the following equation:
To kind of give you a intuitive reason as to why this makes sense, think of that 1.0213 wrapping around the previous value.
So when x=0, it's actually just 16, since any number (besides 0) to the power of 0, equals 1.
When x=1, we get: , which can be expressed as a 2.13% increase from year 0
When x=2, we get: , which can be expressed as a 2.13% increase from year 1
when x=3, we get: , which can be expressed as a 2.13% increase from year 2.
In other words, each year we're getting another 1.0213 to multiply by (very definition of an exponent).
So to calculate the population in 1997, we put in x=7, since it's 7 years after 1990
We get the following equation:
Using a calculator this simplifies to approximately:
Rounding this to the nearest integer would yield 19, and since the values are expressed in millions, the answer would be 19 million
Answer:
We want to find the percentage of values between 147700 and 152300
And one way to solve this is use a formula called z score in order to find the number of deviations from the mean for the limits given:
And replacing we got:
So then we are within 1 deviation from the mean so then we can conclude that the percentage of values between $147,700 and $152,300 is 68%
Step-by-step explanation:
We define the random variable representing the prices of a certain model as X and the distirbution for this random variable is given by:
The empirical rule states that within one deviation from the mean we have 68% of the data, within 2 deviations from the mean we have 95% and within 3 deviations 99.7 % of the data.
We want to find the percentage of values between 147700 and 152300
And one way to solve this is use a formula called z score in order to find the number of deviations from the mean for the limits given:
And replacing we got:
So then we are within 1 deviation from the mean so then we can conclude that the percentage of values between $147,700 and $152,300 is 68%
Answer:
5cm
Step-by-step explanation:
Given parameters:
Volume = 45cm³
Radius = 3cm
Unknown:
Height of the cone = ?
Solution:
Volume of cone is given as ;
V = r² h
r is the radius
h is the height
45 = x 3² x h
45 = 3π x h
h = = 4.77cm
5cm is the closest answer choice