Answer:
Step-by-step explanation:
Hello!
The variable of interest is
X: air pressures of properly inflated sports balls.
<em>Average recommended psi Tolerance
</em>
<em>(pounds per square inch)
</em>
<em>Soccer ball 12.05
±3.55
</em>
<em>Basketball 8.00
±0.5 </em>
<em>Volleyball 4.44
±0.18</em>
Each recommendation is expressed like the "average air pressure" ± "standard deviation of the recommended air pressure" so if you express it in inequality it will be:
X[bar]-S ≤ X ≤ X[bar]+S
So for each ball type, you can write it as:
<u>Soccer ball</u>
12.05-3.55 ≤ X ≤ 12.05+3.55
8.5 ≤ X ≤ 15.6
<u>Basketball</u>
8.00-0.5 ≤ X ≤ 8.00+0.5
7.5 ≤ X ≤ 8.5
<u>Volleyball</u>
4.44-0.18 ≤ X ≤ 4.44+0.18
4.26 ≤ X ≤ 4.62
I hope this helps!
<span>The range of Cos(x) is [-1,1]. Therefore the range of ln(Cos(x)) will be the image of [-1,1] using the natural log function. However, the domain of ln(x) is (0,infinity) and the log function is strictly increasing with vertical asymptote at "x=0". Therefore, the range of ln(Cos(x)) will be:
(- infinity, ln(1) ] = (-infinity, 0] !</span><span>so its true </span>
The mean of the distribution given is 0.569.
Given some distribution like under:
x p(x)
0 0.650
1 0.216
2 0.087
3 0.026
4 0.014
5 0.009
We have to find the mean of the distribution.
Mean is the sum of numbers divided by the numbers which are taken into consideration. It is also known as average.
Mean=sum/n
To find the mean of distribution we have to find sum of x*p(x)
∑xp(x)=0*0.650+1*0.216+2*0.0087+3*0.026+4*0.014+5*0.009
=0+0.216+0.174+0.078+0.056+0.045
=0.569
Hence the mean of the distribution given in the question is 0.569.
Learn more about mean at brainly.com/question/1136789
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Distribution in the given question is wrong and the right question is as the right distribution is as under:
x p(x)
0 0.650
1 0.216
2 0.087
3 0.026
4 0.014
5 0.009
Answer:
The total would be 300
Step-by-step explanation:
310
-10
-----
300
Answer:
John need to remove <u>4760 cubic feet</u> of dirt.
Step-by-step explanation:
Given:
John is digging a hole for a swimming pool,the hole will be 28 feet long, 5 feet wide, 34 feet wide.
Now, to find the cubic feet of dirt John need to remove.
Length = 28 feet.
Width = 5 feet.
Height = 34 feet.
<u><em>As the swimming pool is in the shape of a rectangular prism.</em></u>
So, we put formula of volume to get the cubic feet of dirt need to remove:
Therefore, John need to remove 4760 cubic feet of dirt.
