Answer:
1.75 hours
Step-by-step explanation:
Time for day 1 : 4.5 hrs
Time for day 2: (4.5 ×2.5)
Time for day 3: let it be denoted by a variable ,say T.
Total Time= 17.5
(Time for day 1 ) + (Time for day 2) +(Time for day 3) =17.5
4.5 + (4.5×2.5) + T = 17.5
4.5+11.25+T =17.5
15.75+T=17.5
T=17.5-15.75
T= 1.75
Answer:
We need an SRS of scores of at least 153.
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 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 large an SRS of scores must you choose?
This is at least n, in which 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)
![20 = 1.645*\frac{150}{\sqrt{n}}](https://tex.z-dn.net/?f=20%20%3D%201.645%2A%5Cfrac%7B150%7D%7B%5Csqrt%7Bn%7D%7D)
![20\sqrt{n} = 1.645*150](https://tex.z-dn.net/?f=20%5Csqrt%7Bn%7D%20%3D%201.645%2A150)
![\sqrt{n} = \frac{1.645*150}{20}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%20%5Cfrac%7B1.645%2A150%7D%7B20%7D)
![\sqrt{n} = 12.3375](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%2012.3375)
![(\sqrt{n})^{2} = (12.3375)^{2}](https://tex.z-dn.net/?f=%28%5Csqrt%7Bn%7D%29%5E%7B2%7D%20%3D%20%2812.3375%29%5E%7B2%7D)
![n = 152.2](https://tex.z-dn.net/?f=n%20%3D%20152.2)
Rounding to the next whole number, 153
We need an SRS of scores of at least 153.
Step-by-step explanation:
number2 the answer is a and
number 3 the answer is letter b
Answer:
One
Step-by-step explanation:
Add a "t" to "one" and you get "tone", a musical sound.
Answer:
Step-by-step explanation:
length of rectangle = circumference of circle = πd = 6π cm
area of rectangle = 2×6π = 12π cm
area of one circle = πr² = 9π cm²
surface area = 12π + 2(9π) = 30π ≅ 90 cm²