Answer:
Choice B : 5
Step-by-step explanation:
The question belongs to modular arithmetic. When two integers are divided , we get an equation like:
A/B=Q remainder R
Sometimes, the remainder is more important. For that purpose, we use “mod” (Modulus operator)
The modulus operator gives us the remainder when two integers are being divided i.e. if we have an expression like
14 mod 6= ?
We will get the answer, the remainder as 2.
So for the given question,
x=5 (mod 13)
As the number that is being divided by 13, a number greater than the divisor, the quotient will be zero and the remainder will be 5.
So
x=5
So choice B is the correct answer.
Answer:
He paid 9% in sales tax
Step-by-step explanation:
Answer:
<u>h = x² - 2x - 35</u>
Step-by-step explanation:
Making the factors :
It mentions the zeros are <u>7</u> and <u>-5</u>.
Then, the factors are :
⇒ (x - 7)
⇒ (x + 5)
===========================================================
The quadratic function will be :
⇒ h = (x - 7)(x + 5)
⇒ <u>h = x² - 2x - 35</u>
Answer:
a. 90
Step-by-step explanation:
<em>I believe you meant 1 mg of Cogentin.</em>
In medical practice, "qam" means <u>every morning</u> while "qpm" means<u> "every afternoon/evening."</u>
1 mg of Cogentin is equivalent to<em> two 0.5 mg tablet</em>.
This means that the patient needs to take<em> three 0.5 mg tablets </em>per day, inclusive of <em>one 0.5 mg qpm</em>.
Let's solve.
3 tablets per day x 30 days = 90 tablets
A total of 90 tablets are needed for a 1-month supply.
Answer: 0.1788
Step-by-step explanation:
We assume that the monthly rent for a one-bedroom apartment without a doorman in Manhattan is normally distribution.
Given : Mean monthly rent : ![\mu=\$\ 2,654](https://tex.z-dn.net/?f=%5Cmu%3D%5C%24%5C%202%2C654)
Standard deviation : ![\sigma=\$\ 500](https://tex.z-dn.net/?f=%5Csigma%3D%5C%24%5C%20500)
Sample size : ![n=100](https://tex.z-dn.net/?f=n%3D100)
Let x be the monthly rent of randomly selected apartment.
Now. we calculate the value of z-score by the formula :
![z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
For x = $2,700
![z=\dfrac{2700-2654}{\dfrac{500}{\sqrt{100}}}=0.92](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B2700-2654%7D%7B%5Cdfrac%7B500%7D%7B%5Csqrt%7B100%7D%7D%7D%3D0.92)
The p-value = ![P(x>2700)=P(z>0.92)](https://tex.z-dn.net/?f=P%28x%3E2700%29%3DP%28z%3E0.92%29)
![1-P(z](https://tex.z-dn.net/?f=1-P%28z%3C0.92%29%3D1-0.8212136%3D0.1787864%5Capprox0.1788)
Hence, the probability that the average rent of the sample is more than $ 2,700 = 0.1788