Answer:
So then the correct answer would be:
B) .9996
Step-by-step explanation:
The exact way to solve this problem is using the binomial distribution, assuming that our random variable of interest is "number of students living in apartments" represented by X and 
And we want this probability:
![P(200 \leq X \leq 400) [tex]In order to find this probability we can use the foloowing excel code:"=BINOM.DIST(400,600,0.4,TRUE)-BINOM.DIST(199,600,0.4,TRUE)"And we got:[tex] P(200 \leq X \leq 400) =0.999675[tex]But for this case the problem says that we need to approximate, so then we can use the normal approximation to the normal distribution. We need to check the conditions in order to use the normal approximation. [tex]np=600*0.4=240\geq 10](https://tex.z-dn.net/?f=%20P%28200%20%5Cleq%20X%20%5Cleq%20400%29%20%5Btex%5D%3C%2Fp%3E%3Cp%3EIn%20order%20to%20find%20this%20probability%20we%20can%20use%20the%20foloowing%20excel%20code%3A%3C%2Fp%3E%3Cp%3E%22%3DBINOM.DIST%28400%2C600%2C0.4%2CTRUE%29-BINOM.DIST%28199%2C600%2C0.4%2CTRUE%29%22%3C%2Fp%3E%3Cp%3EAnd%20we%20got%3A%3C%2Fp%3E%3Cp%3E%5Btex%5D%20P%28200%20%5Cleq%20X%20%5Cleq%20400%29%20%3D0.999675%5Btex%5D%3C%2Fp%3E%3Cp%3EBut%20for%20this%20case%20the%20problem%20says%20that%20we%20need%20to%20approximate%2C%20so%20then%20we%20can%20use%20the%20normal%20approximation%20to%20the%20normal%20distribution.%20%3C%2Fp%3E%3Cp%3EWe%20need%20to%20check%20the%20conditions%20in%20order%20to%20use%20the%20normal%20approximation.%0A%3C%2Fp%3E%3Cp%3E%5Btex%5Dnp%3D600%2A0.4%3D240%5Cgeq%2010)
So we see that we satisfy the conditions and then we can apply the approximation.
If we appply the approximation the new mean and standard deviation are:
And then 
And we are interested on the following probability:
So then the correct answer would be:
B) .9996
Answer:
x=5
Step-by-step explanation:15x - 10x -2 = 23
5x= 23 = 2
5x = 5
x=5
If 30 is half price, then what is full price?
You can set up this problem like this:
30 = x/2
OR
30 = (1/2)x
where x is the full price.
To solve, simply multiply each half by 2:
2(30) = 2((1/2)x)
<u>x = $60</u>
Answer:
Therefore the width of the warehouse is 245 feet.
Step-by-step explanation:
Rounding to the nearest foot:
- If the digit of tenths place is between 1-4, then the unit digit remains same.
- If the digit of tenths place is between 5-9, then the unit digit increases by 1.
Given that,
A real estate purchases a 60,000 square foot warehouse.
The width of warehouse is exactly of its length.
Since the unit of 60,000 is square foot. So, it is area of the warehouse.
The area of a rectangular plot is = Length× width.
Since the width of warehouse is exactly of its length.
Then the length of the ware house = the width of the warehouse
∴ Length× width =60,000
⇒width× width =60,000
⇒ width² =60,000
⇒ width =245 feet.( nearest to feet)
Therefore the width of the warehouse is 245 feet.
first, find the numeric value for 11/15
second to find theta, simply do the <em>inverse</em> cos (which is cos^-1) of the first answer.
now you know theta, just do the sin of 90 - theta and that's it!
since you know whatr cos(theta) is, you just take the inverse cos of that number to get theta and 'reverse' cos, essentially. you are just solving for theta, by reversing the cos function with cos^-1
please mark as brainliest!
