Answer:
<em>D.1767.1 in³</em>
Step-by-step explanation:
<em>volume of a sphere=4/3πr³</em>
<em>where r=radius of the sphere</em>
<em>Given diemeter= 15in</em>
<em>so radius=15/2=7.5in</em>
<em>volume=4/3×π×(7.5)³</em>
<em>=4/3×22/7×(7.5)³</em>
<em>=1767.1in³</em>
<em>hope it helps...</em>
<em>have a great day!!</em>
Answer: the area of the shaded region is 72.96 ft²
Step-by-step explanation:
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Diameter of circle = 16 feet
Radius = diameter/2 = 16/2 = 8 feet
Area of circle = 3.14 × 8² = 200.96ft²
The sides of the square are equal. To determine the length of each side of the square, L, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
16² = L² + L²
256 = 2L²
L² = 256/2 = 128
L = √128 ft
Area of the square is
L² = (√128)²
Area = 128 ft²
Area of shaded region is
200.96 - 128 = 72.96 ft²
Answer:
9, 10, 11, 12, 13
Step-by-step explanation:
(x-2)+(x-1)+x+(x+1)+(x+2) = 55
5x = 55
x = 11
Answer: Option (c) is correct.
68% of the data points lie between 10 and 18.
Step-by-step explanation: Given : a normal distribution with a standard deviation of 4 and a mean of 14
We have to choose the sentence that correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14.
Since, given 68% data.
We know mean of data lies in middle.
And standard deviation is distribute equally about the mean that is 50% of values less than the mean and 50% greater than the mean.
So, 68% of data lies
mean - standard deviation = 14 - 4 = 10
mean + standard deviation = 14 + 4 = 18
So, 68% of the data points lie between 10 and 18.
The area of a rectangle is 108cm (squared. the ratio of the width to the length is 3:4
