Complete Question
Determine whether the normal sampling distribution can be used. The claim is p < 0.015 and the sample size is n=150
Answer:
Normal sampling distribution can not be used
Step-by-step explanation:
From the question we are told that
The null hypothesis is 
The alternative hypothesis is 
The sample size is n= 150
Generally in order to use normal sampling distribution
The value 
So
Given that 
normal sampling distribution can not be used
Answer:
Perimeter of the paperboard that remains after the semicircle is removed = 94.26 in
Step-by-step explanation:
Watch the attached figure of how the semi circle is cut out of the rectangular paperboard.
Length = 24 in
Width = 18 in
Radius of the semi circle = Half of the width of the paperboard = 
= 9 in
1) Circumference of the semi circle = π*radius
= 3.14*9
= 28.26 in
2) Perimeter of the paperboard that remains after the semicircle is removed
= Top + Left + Bottom + Right Circumference of the semi circle
= 24 + 18 + 24 + 28.26
= 94.26 in
Answer:
Step-by-step explanation:
85 degrees. Step-by-step explanation: From the diagram, it is clearly visible that the angle ∠ABC is formed by intersections of two chords AE and CD of the circle.
Answer:
523.3 cubic inches
Step-by-step explanation:
A basketball has a diameter of 10 in. Using = 3.14, what is the approximate volume of the basketball in cubic inches?
The shape of a basketball is spherical.
Hence:
The volume of a basketball = 4/3 × π × r³
From the question,
π = 3.14
r = radius = Diameter/2
r = 10 in/2 = 5 in
Hence:
The volume of the basketball
= 4/3 × 3.14 × 5³
= 1570 ÷ 3
= 523.33333333 cubic inches
Therefore, the approximate volume of the basketball = 523.3 cubic inches
Suppose that the exponential growth function is y = 4^x.
If x = 1, then y = 4^1 = 4.
If x = 3, then y = 4^3 = 64.
Let the initial value be 1/2.
The growth function is now y = 1/2 * 4^x.
If x =1, then y = 2 which is half of the y value before adding the 1/2.
If x = 3, then y = 1/2 * 64 = 32.
Answer: 1/2
