Answer with Step-by-step explanation:
Since we have given that
a + b = c
and a|c
i.e. a divides c.
We need to prove that a|b.
⇒ a = mb for some integer m
Since a|c,
So, mathematically, it is expressed as
c= ka
Now, we put the above value in a + b = c.
So, it becomes,
a=mb, here, m = k-1
Hence, proved.
Answer:
Yes there is sufficient evidence.
Null hypothesis; H_o ; μ = 445
Alternative hypothesis; H_o ; μ ≠ 445
Step-by-step explanation:
The null hypothesis states that there is no difference in the test which is denoted by H_o. However, the sign of null hypothesis is denoted by the signs of = or ≥ or ≤.
Meanwhile, the alternative hypothesis is one that defers from the null hypothesis. This therefore implies a significant difference in the test. Thus, the signs of alternative hypothesis is denoted by; < or > or ≠.
Now, the question we have is a two tailed test. Thus;
The null hypothesis is;
bag filling machine works correctly at the 445 gram setting which is;
H_o ; μ = 445
The alternative hypothesis is;
bag filling machine works incorrectly at the 445 gram setting which is;
H_o ; μ ≠ 445
He'll get $14.03 because 20.25 is what he gave but it only came up to 6.22 so 20.25-6.22=14.03
Answer:
61
Step-by-step explanation:
add the number of minutes for each day and then divide that number by the number of days
Answer:
15 feet
Step-by-step explanation:
Since this is a square the sides are of the same length.
Now the side multiplied by itself gives 225. Hence the length of the side is a number which multiplied by itself gives 225. It is easy to see that 15 × 15 = 225. Therefore the side is 15 feet long.
