Answer:
X=
Y=
Step-by-step explanation:
The first one is 45-45-90 right angled isosceles triangle.
The length of the hypotenuse ie.X can be found with the help of Pythagoras Theorem.
where a and b are the remaining sides of the triangle,
X=
In the second triangle we have to apply trigonometry,
cos θ=
cos 30°=
=
Thus, Y= inches
Answer:
a) Null Hypothesis: length of each screw is less than 14 centimeters
b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters
Step-by-step explanation:
Complete question
A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 14 centimeters. The factory believes that the length of the screws exceeds this value and measures the length of screws. The sample mean screw length was centimeters. The population standard deviation is known to be centimeters.
1. What is the null hypothesis?
2. What is the alternative hypothesis?
Solution :
The null hypothesis is basically the problem statement that needs to be tested.
Alternate hypothesis is opposite of that of null hypothesis
a) Null Hypothesis: length of each screw is less than 14 centimeters
b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters
In this problem, the shape of the sail is equilateral
triangle. You are given that the measurement of each side is x – 10 units. The perimeter
is 63 units. You have to formulate an equation to find the value of x. The
formula of the perimeter is to get the sum of the measurements of the three
sides of the triangle.
x – 10 + x – 10 + x – 10 = 63
3x – 30 = 63
3x = 63 + 30
3x = 93
x = 31
Therefore, the value of x is 31 and the measurement of each
sides is 21 units.
<em>Assuming [x] means the closest integer to x</em>
Answer:
Step-by-step explanation:
We can see that for any integer 
, there will always be a ![[x]](https://tex.z-dn.net/?f=%5Bx%5D)
, so there will always be a ![[x]+1](https://tex.z-dn.net/?f=%5Bx%5D%2B1)
. So, we don't need to worry about the domain impacting the range.
can be any integer from 
to 
, and as 
(at least in terms of a function's range and domain), the range of is equal to the range of , which is .
So, the answer is 
and we're done!
Suppose p={0,1,2,3,4,5,6,7,8,9}and V={1,3,5,7,9,11,13,15,17,19} what is PnV?
vekshin1
Answer:
Step-by-step explanation:
means what do both lists have in common.
There is a 1,3,5,7, and 9 in both sets.
This implies .
