Answer: 160.4040
Step-by-step explanation:
Here , the claim is "The standard deviation of pulse rates of adult males is more than 11 bpm." , i.e. 
We use Chi-square test statistic for the test statistic to test the standard deviations :
, where s= sample standard deviation ,
= population standard deviations and n = sample size.
As per given , n=153 , s= 11.3
Then, Required test statistic will be :

Hence, the value of the test statistic. = 160.4040
Answer:
x - y + 6 = 0
Step-by-step explanation:
In normal form of a straight line, the equation is given by
where p is the perpendicular distance of the line from the origin and
is the angle between the perpendicular line and the positive direction of the x-axis.
Here, in our case
and
Degree,
Therefore, the normal form of the straight line equation is
⇒
⇒
{Since, Cos (180 - Ф) = - Cos Ф and Sin (180 - Ф) = Sin Ф}
⇒
⇒ - x + y = 3√2 × √2 = 6
⇒ x - y + 6 = 0
So, the standard form of the equation is x - y + 6 = 0. (Answer)
Answer:
After about 12 months both Caitlyn and Santos will have the same balance of 150 dollars in their bank account.
Step-by-step explanation:
Caitlyn's saving: -5x+210
Santos' saving: 5x+90
To know when the total amount in their bank account is the same you would need to make these linear equations equal to one another.
-5x+210 = 5x+90
(Add 5x on both sides)
210=10x+90
(Subtract 90 from both sides)
120=10x
(Simplify)
x=12
After about 12 months their total savings should be the same. To check what their balance will be plug the x value of 12 into both of these equations. This should give 150 as your answer for both equations.
Answer:
Got a pick your head up oooooooooh
What u do is u divide 420 into 7 and u get 60