Answer:
1.27
Step-by-step explanation:
When completing word problems, it's always important to first turn everything into an equation.
The volume of a rectangular box is:
![V=lhw](https://tex.z-dn.net/?f=V%3Dlhw)
Where <em>l</em> is the length, <em>h</em> is the height, and <em>w</em> is the width.
Which we can write down the equation:
![47 ft^3=(4w)(6+w)(w)](https://tex.z-dn.net/?f=47%20ft%5E3%3D%284w%29%286%2Bw%29%28w%29)
Next up, distribute:
![47=4w^2(6+w)\\47=24w^2+4w^3\\4w^3+24w^2-47=0](https://tex.z-dn.net/?f=47%3D4w%5E2%286%2Bw%29%5C%5C47%3D24w%5E2%2B4w%5E3%5C%5C4w%5E3%2B24w%5E2-47%3D0)
We have a cubic equation, you can solve it using a calculator.
We have three solutions, and they are:
![w=-5.62919529..., -1.64201009..., 1.27120539...](https://tex.z-dn.net/?f=w%3D-5.62919529...%2C%20-1.64201009...%2C%201.27120539...)
Since lengths cannot be negative, there is just one solution: ![w=1.27120539...](https://tex.z-dn.net/?f=w%3D1.27120539...)
And rounding it gives:
![w=1.27](https://tex.z-dn.net/?f=w%3D1.27)
And don't forget to put ft at the end!
2,025 because 5 is 1/9 of 45 so you multiply 225 by 9
Answer:
253°
Step-by-step explanation:
The central angle whose rays intercept a diameter of the circle has measure 180 deg.
m<AOD = 73 deg
m<DOB = 180 deg
m<ADB = m<AOD +m<DOB = 73 deg + 180 deg = 253 deg
The measure of an arc of a circle is equal to the measure of the central angle that subtends it.
m(arc)AOD = m<AOD = 253 deg
Answer: 253°
The difference in the average age of the sample and the population is probably due to sampling error
<h3>What is sampling error?</h3>
The sampling error in a statistical data is simply an error that arises when a sample that represents the population is not properly selected or analyzed
From the question, we have the following parameters:
-- the sample average
-- the population average
Notice that:
![\bar x \ne \mu](https://tex.z-dn.net/?f=%5Cbar%20x%20%5Cne%20%5Cmu)
i.e. sample and the population averages are not equal.
This difference is often as a result of sampling error
Read more about sampling errors at:
brainly.com/question/19264268