It's 6x-18
Hope this helps
Answer:
The first shape is triangle; area of a triangle = 1/2*b*h
= 1/2*7*3
= 1/2*21
= 21/2
= 10.5
The second shape is rectangle; area of rectangle = l*b
= 7*3
= 21
Total area:
10.5+21
= 31.5
Answer:
We need to sample at least 1069 parents.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
![\alpha = \frac{1-0.9}{2} = 0.05](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%5Cfrac%7B1-0.9%7D%7B2%7D%20%3D%200.05)
Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so ![z = 1.645](https://tex.z-dn.net/?f=z%20%3D%201.645)
Now, find the margin of error M as such
![M = z*\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%2A%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
In which
is the standard deviation of the population and n is the size of the sample.
How many parents do you have to sample?
We need to sample at least n parents.
n is found when
. So
![M = z*\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%2A%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
![4 = 1.645*\frac{79.5}{\sqrt{n}}](https://tex.z-dn.net/?f=4%20%3D%201.645%2A%5Cfrac%7B79.5%7D%7B%5Csqrt%7Bn%7D%7D)
![4\sqrt{n} = 1.645*79.5](https://tex.z-dn.net/?f=4%5Csqrt%7Bn%7D%20%3D%201.645%2A79.5)
![\sqrt{n} = \frac{1.645*79.5}{4}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%20%5Cfrac%7B1.645%2A79.5%7D%7B4%7D)
![(\sqrt{n})^{2} = (\frac{1.645*79.5}{4})^{2}](https://tex.z-dn.net/?f=%28%5Csqrt%7Bn%7D%29%5E%7B2%7D%20%3D%20%28%5Cfrac%7B1.645%2A79.5%7D%7B4%7D%29%5E%7B2%7D)
![n = 1068.92](https://tex.z-dn.net/?f=n%20%3D%201068.92)
Rounding up
We need to sample at least 1069 parents.
Answer:
3/4 kg of sphagetti each
Step-by-step explanation:
The amount each family can take home, if the kg of sphagetti is divided equally is calculated as:
Kg of sphagetti left/Number of families
= 4 1/2kg/6
= 9/2 ÷ 6
= 9/2 × 1/6
= 9/12
= 3/4 kg
Hence, each family can take home 3/4 kg of sphagetti each.