Solution :
A). x = 2 (mod 3)
x = 3 (mod 5)
x = 4 (mod 7)
≡ 53(mod 105)
Hence the solution is 105 k + 53 > 1000 for k = 10
Therefore, the minimum number of students = 1103
B).
By Eulu's theory
if n and 935 are coprime.
Now, and 80 x 8 = 640
⇒ g(n,935) = 1
⇒ 5, 11, 17 do not divide n
Answer: Mean = 0.40 and standard error = 0.0219 of the sampling distribution of sample proportions.
Step-by-step explanation:
Given : The proportion of community college students never use tutoring services available at their college: p= 0.40
Mean of the sampling distribution of sample proportions = p = 0.40
Since sample size : n= 500
Standard error =
Hence, Mean = 0.40 and standard error = 0.0219 of the sampling distribution of sample proportions.
The required value lies Between 6 and 7, but closer to 6. Option C is correct.
Given that,
The square root of 50 minus 10 would be plotted on a number line.
<h3>What is a number line?</h3>
A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
According to the question,
= √[50-10]
= √40
= 6.32
Which is closer to 6.
Thus, the required value lies Between 6 and 7, but closer to 6. Option C is correct.
Learn more about number line here:
brainly.com/question/17683084
#SPJ1
we have
we know that
the vertex form of the vertical parabola equation is equal to
where
(h,k) is the vertex of the parabola
To find the equation rewritten in vertex form let's factor the equation
<u>Factor the leading coefficient </u>
<u>Complete the square. Remember to balance the equation by adding the same constants to each side</u>
<u>Rewrite as perfect squares</u>
therefore
the answer is
Answer: 18
Step-by-step explanation:
I just did an old fashioned percentage table :) 15(%) divided by 100(%) times 120(whole) is 18, so it will take 18 days to meet a quota of 120 sales :)