Answer:
187
Step-by-step explanation:
A number m is such that when it is divided by 30, 36 and 45 the remainder is always 7.
We should first find the LCM of 30, 36 and 45
We get that the LCM of the three numbers is 280 (working attached).
So now;
= 6
= 5
= 4
But we need a number that leaves a remainder of 7 so we add 7 to 180 to get; 180 + 7 = 187.
Answer: 2.460
Step-by-step explanation:
The formula of Margin of Error for (n<30):-
Given : Sample size : n= 18
Level of confidence = 0.90
Significance level :
Using the t-distribution table ,
Critical value :
Standard deviation:
Then, we have
Hence, the margin of error (ME) of the confidence interval with a 90% confidence level = 2.460
Answer:
AC ≈ 7.8 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d =
with (x₁, y₁ ) = A (- 4, - 4 ) and (x₂, y₂ ) = C (2, 1 )
AC =
=
=
=
=
≈ 7.8 ( to 1 dec. place )