Answer:
24453
Step-by-step explanation:
Did the math in my head
Answer:
27
Step-by-step explanation:
If 6x-4 is 11 less than 25, what is the value of 9x can be rewritten as:
6x-4=25-11, what is the value of 9x?
Let's solve for x first by using the given information: 6x-4=25-11
1. 6x-4=25-11
2. 6x-4=14
3. (isolate x by adding 4 on both sides) 6x=18
4. x=3
The question asks for the value of 9x. Since we know x=3...
9x=9 times 3=27
9x=27
Answer:
308 Calories
Step-by-step explanation:
So we start off with 280 as usual, but I will focus on the percent. The given percent is 110% "effort". What we would need to do here is, Firstly, change the percent into a decimal, and this is done by moving the decimal spot of 110%. What I mean is that 110.% and you move that little period over 2 times to the left and also remove the percent as for now because we will not need it. After that you would get 1.10. This is what we will multiply by. So if we did 280x1.10 it equals 308, and that is how I got 308
Hope this helps!
20.52 is the answer to the multiplication problem. The product will have two digits to the right of the decimal point
Answer:
The probability is ![P(X < 20 ) = 0.68807](https://tex.z-dn.net/?f=P%28X%20%3C%20%2020%20%29%20%3D%20%200.68807)
Step-by-step explanation:
From the question we are told that
The proportion of total part-time workforce is ![\r p = 0.221](https://tex.z-dn.net/?f=%5Cr%20p%20%20%3D%20%200.221)
The sample size is n = 80
Generally the mean is mathematically represented as
![\mu = n* p](https://tex.z-dn.net/?f=%5Cmu%20%20%3D%20%20n%2A%20%20p)
![\mu = 0.221 * 80](https://tex.z-dn.net/?f=%5Cmu%20%20%3D%20%20%200.221%20%2A%20%2080)
![\mu = 17.68](https://tex.z-dn.net/?f=%5Cmu%20%20%3D%20%20%2017.68)
The proportion of not part - time workforce
![q = 1- p](https://tex.z-dn.net/?f=q%20%3D%20%201-%20%20p)
=> ![q = 1- 0.221](https://tex.z-dn.net/?f=q%20%3D%20%201-%20%200.221)
=> ![q = 0.779](https://tex.z-dn.net/?f=q%20%3D%200.779)
The standard deviation is mathematically represented as
![\sigma = \sqrt{ 80 * 0.221 * 0.779 }](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%20%5Csqrt%7B%2080%20%2A%200.221%20%2A%20%200.779%20%20%7D)
![\sigma = 3.711](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%203.711)
Now applying the normal approximation,
Then the probability that fewer than 20 people from this sample were between the ages of 25 and 34 is mathematically represented as
![P(X < 20 ) = P( \frac{X - \mu }{ \sigma } < \frac{ 20 - 17.68 }{ 3.711} )](https://tex.z-dn.net/?f=P%28X%20%3C%20%2020%20%29%20%3D%20%20P%28%20%5Cfrac%7BX%20-%20%20%5Cmu%20%7D%7B%20%5Csigma%20%7D%20%20%3C%20%20%5Cfrac%7B%2020%20-%20%2017.68%20%7D%7B%203.711%7D%20%20%20%29)
Applying continuity correction
![P(X < 20 ) = P( \frac{X - \mu }{ \sigma } < \frac{ (20-0.5 ) - 17.68 }{ 3.711} )](https://tex.z-dn.net/?f=P%28X%20%3C%20%2020%20%29%20%3D%20%20P%28%20%5Cfrac%7BX%20-%20%20%5Cmu%20%7D%7B%20%5Csigma%20%7D%20%20%3C%20%20%5Cfrac%7B%20%2820-0.5%20%29%20-%20%2017.68%20%7D%7B%203.711%7D%20%20%20%29)
![P(X < 20 ) = P( \frac{X - \mu }{ \sigma } < \frac{ (20-0.5 ) - 17.68 }{ 3.711} )](https://tex.z-dn.net/?f=P%28X%20%3C%20%2020%20%29%20%3D%20%20P%28%20%5Cfrac%7BX%20-%20%20%5Cmu%20%7D%7B%20%5Csigma%20%7D%20%20%3C%20%20%5Cfrac%7B%20%2820-0.5%20%29%20-%20%2017.68%20%7D%7B%203.711%7D%20%20%20%29)
![P(X < 20 ) = P( \frac{X - \mu }{ \sigma } < 0.4904 )](https://tex.z-dn.net/?f=P%28X%20%3C%20%2020%20%29%20%3D%20%20P%28%20%5Cfrac%7BX%20-%20%20%5Cmu%20%7D%7B%20%5Csigma%20%7D%20%20%3C%20%200.4904%20%20%20%29)
Generally
![\frac{X - \mu }{ \sigma } = Z ( The \ standardized \ value \ of \ X )](https://tex.z-dn.net/?f=%5Cfrac%7BX%20-%20%20%5Cmu%20%7D%7B%20%5Csigma%20%7D%20%20%20%3D%20%20Z%20%28%20The%20%20%5C%20%20standardized%20%20%5C%20%20value%20%5C%20%20of%20%20%5C%20%20X%20%29)
So
![P(X < 20 ) = P( Z< 0.4904 )](https://tex.z-dn.net/?f=P%28X%20%3C%20%2020%20%29%20%3D%20%20P%28%20Z%3C%20%200.4904%20%20%20%29)
From the z-table
![P( Z< 0.4904 ) = 0.68807](https://tex.z-dn.net/?f=P%28%20Z%3C%20%200.4904%20%20%20%29%20%3D%20%200.68807)
The probability is
![P(X < 20 ) = 0.68807](https://tex.z-dn.net/?f=P%28X%20%3C%20%2020%20%29%20%3D%20%200.68807)