Answer: p= 25n/7 358
n will be the total number of students on the field trip
g could represent the number of groups
p will represent the number of pencils
For this situation with 100 students, John will need 358 pencils. for 14 2/7 groups.
To be safe, since he has a partial group, he should round up to 15 groups and get 375 pencils. Especially if the pencils only come in boxes of 25, and he can't buy a partial box.
Step-by-step explanation:
25g = p
g =n/7
Combine these to get the ratio
g becomes unnecessary
p= 25n/7
the exact calculation for g was 100/7 = 14.28571
The exact calculation for p = 100/7 × 25 = 357.142857
But you can't buy partial pencils!
2ab - 3a = a.(2b-3)
now the same thing
let's say n=1
a.(2b-3) + n.(2b-3) = (2b-3).(a+n)
Understood?
Answer:
As
, it is possible to reject null hypotesis. It means that the local mean height is less tha 0.7 m with a 5% level of significance.
Step-by-step explanation:
1. Relevant data:
![\mu=0.70\\N=40\\\alpha=0.05\\X=0.65\\s=0.20](https://tex.z-dn.net/?f=%5Cmu%3D0.70%5C%5CN%3D40%5C%5C%5Calpha%3D0.05%5C%5CX%3D0.65%5C%5Cs%3D0.20)
2. Hypotesis testing
![H_{0}=\mu=0.70](https://tex.z-dn.net/?f=H_%7B0%7D%3D%5Cmu%3D0.70)
![H_{1} =\mu< 0.70](https://tex.z-dn.net/?f=H_%7B1%7D%20%3D%5Cmu%3C%200.70)
3. Find the rejection area
From the one tail standard normal chart, whe have Z-value for
is 1.56
Then rejection area is left 1.56 in normal curve.
4. Find the test statistic:
![Z=\frac{X-\mu_{0} }{\sigma/\sqrt{n}}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7BX-%5Cmu_%7B0%7D%20%7D%7B%5Csigma%2F%5Csqrt%7Bn%7D%7D)
![Z=\frac{0.65-0.70}{0.20/\sqrt{40}}\\Z=-1.58](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7B0.65-0.70%7D%7B0.20%2F%5Csqrt%7B40%7D%7D%5C%5CZ%3D-1.58)
5. Hypotesis Testing
![Z_{\alpha}=1.56\\Z=-1.58](https://tex.z-dn.net/?f=Z_%7B%5Calpha%7D%3D1.56%5C%5CZ%3D-1.58)
![-1.58](https://tex.z-dn.net/?f=-1.58%3C-1.56)
As
, it is possible to reject null hypotesis. It means that the local mean height is less tha 0.7 m with a 5% level of significance.
Answer:
The numbers that work are: -15, 5, 3.5, and 4 3/4
Step-by-step explanation:
Subtract 5 from both sides of the equation. Which will give you 15≥3x. Then you divide both sides by 3 which will give you 5≥x.
20≥5+3x
<u>-5 -5</u>
15≥ 3x
<u>÷ 3 ÷ 3</u>
5 ≥ x