Answer:
The sample of farms required should be 550 large.
Step-by-step explanation:
Let the sample =K,
mean=np=100
Standard deviation=
=500
probability =Z=0.90
from the normal probability formula,
Z=![\frac{K-np}{\sqrt{npq}}](https://tex.z-dn.net/?f=%5Cfrac%7BK-np%7D%7B%5Csqrt%7Bnpq%7D%7D)
0.9=![\frac{K-100}{500}](https://tex.z-dn.net/?f=%5Cfrac%7BK-100%7D%7B500%7D)
500 X 0.9=K-100
450=K-100
K=450+100=550
Hence, the sample of farms required should be 550 large.
Given that,
An egg takes 198 seconds to boil a perfect egg has an altitude of -418 m.
Also it takes 209 seconds at an altitude of 8848 m.
To find,
The domain of T.
Solution,
Domain is the set of input values for which the function is defined. The least value is -418 m and the highest value is 8848 m. So, the domain is :
![-418\le x \le 8848](https://tex.z-dn.net/?f=-418%5Cle%20x%20%5Cle%208848)
Therefore, this is the required solution.
Answer:
1 cup of water will fill =
of the plastic container.
Step-by-step explanation:
Given :
of a cup of water fills
of a plastic container.
To find number of containers that can be filled with 1 cup of water, we will use unitary method.
if
of a cup of water fills
of a plastic container.
Then 1 cup of water will fill =
of a container.
Dividing fractions.
![\frac{2}{3}\div \frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%5Cdiv%20%5Cfrac%7B3%7D%7B4%7D)
Replacing division with multiplication by taking reciprocal of the divisor.
![\frac{2}{3}\times \frac{4}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%5Ctimes%20%5Cfrac%7B4%7D%7B3%7D)
Multiplying the numerators and denominators.
![\frac{2\times4}{3\times3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Ctimes4%7D%7B3%5Ctimes3%7D%20)
![\frac{8}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B9%7D)
∴ 1 cup of water will fill =
of the plastic container.
Answer:
2
Step-by-step explanation:
because when x, the input, is -3, the y, the output, is 3