Answer:
Step-by-step explanation:
Given that Samuel Morse suggested in the nineteenth century that the letter "t" made up 9% of the English language. we can assume this is still correct.
Sample size n =1000
Assuming right we find no of t's would be binomial with p = 0.09
a) Expected sample percentage = 9%
b) Standard error = ![\sqrt{\frac{0.09(0.91)}{1000} } \\=0.00905](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B0.09%280.91%29%7D%7B1000%7D%20%7D%20%5C%5C%3D0.00905)
Expected numbers in 1000 letters book
= ![1000(9/100) = 90](https://tex.z-dn.net/?f=1000%289%2F100%29%20%3D%2090)
Answer:
h is directly proportional to B and inversely proportional to A
Step-by-step explanation:
Answer:
Side length, l = 2.23 feets
Step-by-step explanation:
We have,
Area of a square garden is 5 square feet.
It is required to find the side length of the garden. For a square, its area is given by :
![A=l^2](https://tex.z-dn.net/?f=A%3Dl%5E2)
l is the side length of a square
![l=\sqrt{A} \\\\l=\sqrt{5} \\\\l=2.23\ ft](https://tex.z-dn.net/?f=l%3D%5Csqrt%7BA%7D%20%5C%5C%5C%5Cl%3D%5Csqrt%7B5%7D%20%5C%5C%5C%5Cl%3D2.23%5C%20ft)
So, the side length of the garden is 2.23 feets.
Answer:
P = 7 and q = 5
Step-by-step explanation:
Answer:
Step-by-step explanation:
3p + 7q= 56...(1 )
5p + 7q = 70.... (2)
Using elimination method to solve this
Substract equation 1 from 2 , this becomes:
5p - 3p + 7q-7q = 70-56
5p-3p + 0 = 15
2p = 14
Next step is to divide both 2 to get p
2p/2 = 14/2
P= 7
To get q, input p= 7 into equation 1 which is
3p +7q =56, 3(7) + 7q= 56
21+ 7q = 56, 7q= 56-21
7q= 35( divide both sides by 7)
q = 5.
Since p= 7 and q= 5, let's input values for p and q into both equation.
Equation 1: 3p + 7q= 56
3(7) + 7(5) = 56,
21 + 35 = 56.
For equation 2: 5p + 7q = 70
5(7) + 7(5) = 35 + 35 = 70.
Step-by-step explanation:
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Answer: See in pictures.
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