Days in boston=x
days in colorado=1.4x
boston+colorado=2.4x
475=2.4x
475/2.4=2.4x/2.4
198=x
198*1.4=277
days in boston=198
days in colorado=277
198+277=475
Answer:
Step-by-step explanation:
Another complex expression, let's simplify it step by step...
We'll start by re-writing 256 as 4^4
Then we'll extract the 4 from the cubic root. We will then subtract 3 from the exponent (4) to get to a simple 4 inside, and a 4 outside.
Now, we have x^10, so if we divide the exponent by the root factor, we get 10/3 = 3 1/3, which means we will extract x^9 that will become x^3 outside and x will remain inside.
For the y's we have y^7 inside the cubic root, that means the true exponent is y^(7/3)... so we can extract y^2 and 1 y will remain inside.
The answer is then:
Answer:
(0.767,0.833)
Step-by-step explanation:
The 95% confidence interval for population proportion p can be computed as
The z-value associated with 95% confidence level is 1.96.
whereas p=x/n
We are given that x=440 and n=550.
p=440/550=0.8
Thus, the required confidence interval is
0.767<P<0.833 (rounded to 3 decimal places)
Hence, we are 95% confident that our true population proportion will lie in the interval (0.767,0.833)
So I'll start with the mixed number to improper fraction.
Step one - multiply the denominator and the whole number.
Step two- take your product and add it to the numerator
Step three- the sum is the numerator of the mixed number and the original denominator is the denominator
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Now for improper fraction to mixed number
Step one- see how many times the denominator goes into the numerator (ex. 2 goes into 9, 4 times With one left over)
Step two -the 4 becomes the whole number and the 1 the numerator
Step three- use the same denominator
Answer:
SU = 15
Step-by-step explanation:
Given that,
Point T is on line segment SU. So,
SU = ST + TU
Putting all the values, we get :
SU = 12 + 3
SU = 15
Hence, the length of SU is 15 units.