Answer:
Option d - Equality
Step-by-step explanation:
To find : What sign of a null hypothesis must always include?
Solution :
The Null hypothesis is defined as a statement about the population that either is believed to be true or is used to put forth an argument unless it can be shown to be incorrect beyond a reasonable doubt.
The Null hypothesis represent by 
always has a symbol with an equal in it.
Therefore, Option d is correct.
Equality sign of a null hypothesis must always include.
Hello
f(x) = 2sin(x)
f(<span>π/6) = 1
f'(x) 2cos(x)
f'(</span>π/6) = 2×co(π/6) = 2 × root(3)×0.5 =root(3)
The equation of this tangent line is : y= root(3)(x-π/6)+1
y = root(3)x+1 - π/6(root(x)) <span>in the form y=mx+b
m = root(3) and b = </span>1 - π/6(root(x))
Answer:
#1 is 17 and #2 is 25.
Step-by-step explanation:
You're going to use the Pythagorean Theorem which is a²+b²=c².
1.) a and b are called legs and the missing length is called the hypotenuse. The legs are the numbers given to you, such as, 8 and 15. Plug them into the equation: 8²+15²=c².
2.) 64+225=c²
3.) 289=c²
4.) 25=c
a tennis ball has a diameter of about 2.5 inches
so volume of a tennis ball is: 4/3 x pi x r^3 = 8.2 cubic inches ( estimating you could say 8 cubic inches
1 cubic foot = 1728 cubic inches
so you could fit 1728/8 = 216 tennis balls in a cubic foot.( estimated)
you would then need to calculate the volume of the room
lets say a small room is 9 foo by 9 foot by 8 feet high
9 x 9 x 8 = 648 square feet
now multiply the 216 by the square feet of the room
216 * 648 = 139,968tennis balls
now because they are round, there will be empty space around them
so you could estimate about 139,000 tennis balls would fit I a 9 x 9 room that is 8 feet high.
You didn't give the dimensions of the room, but this gives you the idea of how to estimate
The measures of the angles in a triangle determine which type of triangle it it. Such as 1 90 degree angle and 2 45 degree angles make it a right triangle.
