To evaluate the <span>probability that in a randomly selected hour the number of watches produced is greater than 500 we proceed as follows:
z=(x-</span>μ<span>)/</span>σ
where:
x=500
μ=500
σ=100
thus
z=(500-500)/200=0
Thus:
P(x>500)=1-P(x<500)=1-P(z<0)=1-0.5=0.5
Answer: 0.5~50%
I believe it is 5 but i may need someone to double check <span />
The volume of the spherical dome will be 12.9π cubic feet when the surface area of the dome is 13.924π.
<h3>What is the volume of the sphere?</h3>
The volume of the cone is the amount of quantity, which is obtained in the 3-dimensional space. The dome is the shape of a semi-sphere the volume of the dome will be half of the volume of the sphere.
Given that the Reunion Tower in Dallas, Texas, is topped by a spherical dome that has a surface area of approximately 13,924π square feet.
The volume of the dome will be calculated as below:-
SA = 13.924π
2πr² = 13.92π
r = √6.96
r = 2.63 feet
Volume = 2 / 3 πr³
Volume = ( 2 / 3 ) π ( 2.63)³
Volume = 12.24π cubic feet
Therefore, the volume of the spherical dome will be 12.9π cubic feet.
To know more about volume follow
brainly.com/question/24247548
#SPJ1
Answer: D
Step-by-step explanation:
To find the perimeter of the square, you want to first find the length of each side. Since the figure is a square, we know that each side is equal to each other. We can set the expressions equal to each other to find x.
[subtract both sides by 1/2x]
[add both sides by 1]
[multiply both sides by 4]
Now that we know x, we can plug it into each expression to find teh length of each side.
[multiply]
[subtract]
Now that we know each side is equal to 23, we can add all the sides together to find the perimeter.
23+23+23+23=92 or 23×4=92
Since we know that the perimeter is 92 units, the answer is D.
C (third graph, the parabola); To find if it is a function or not draw a vertical line on the graph. If the vertical line could never intercept the figure more than once anywhere on the graph then it is a function.
