Answer:
Yes
Step-by-step explanation:
Given,
Population mean Z = 600
Sample mean, µ = 586.50
Size of the sample, n = 10
Standard deviation, σ = 26.77
The testing hypothesis is,
Null hypothesis = µ<600
Alternative hypothesis = µ≥600
The test statistics is the calculated value of Z,
(Z- µ)/(σ/√n)
= (600-586.50)/(26.77/√10)
= (13.5*3.1623)/26.77
= 42.691/26.77
= 1.5947
And at 5% level of significance, the table value of Z = 1.644
Here, calculated Z<Table value of Z, so we accept the null hypothesis.
So, the null hypothesis is accepted. The mean value of the laptop is less than 600.
Answer:
0 ways...
Step-by-step explanation:
First find one pair.
x and x + 1
2x + 1 = 100
2x = 99
x = 49.5
49.5 and 50.5
Since the only way is with decimals, there are 0 ways.
Answer:
<h2><u>
y = -2x</u></h2>
Step-by-step explanation:
If you notice very carefully then you will see that the line passes through the points :
( 1 , - 2 )
( - 1 , 2 )
Hence the value of x = 1 when the value of y = - 2 .
We know that - 2 × 1 = - 2
⇒ - 2 x = y
⇒ y = - 2x
Hence the first OPTION is correct .
Verification :
For points ( - 1 , 2 ) we can write :
y = - 2x
⇒ 2 = - 2 × - 1
⇒ 2 = 2
Hence the answer is verified .
Always try to use the converse of the graphical method .
( Nothing converse is there ... just saying the opposite steps of that method :P )
I mean in graphical method we plot points and then join , here identify the joined points and then make the equation .
Well there has to be a right angle in there somewhere as the pole must be perpendicular to the ground.
Using the sine rule:
sinA/a = sinB/b where a = 10, A = 90, b = 5√3, B = B
Re-arrange for B, B = arcsin (b(sinA)/a)
B = arcsin(5√3(sin90)/10)
B = 60 degrees.
Answer is C