Answer:
Step-by-step explanation:
20.1metres / seconds
We want to convert to metres /minutes
It is known that 60seconds=1minutes
So therefore, either we multiply 20.1metres/seconds by
60seconds/1minutes
Or
1minutes/60seconds
Multiplying with the above does not change the magnitude of the quantity because it is like we are multiplying by 1.
Since we want to cancel seconds and it is in the denominator, so to do this we need to multiply with the fraction that has the seconds as numerator.
So, we are going to multiply with 60seconds/1minutes
20.1metres/seconds ×60seconds/minutes
1206metres/minutes.
So the correct fraction is the StartFraction 60 seconds Over 1 minute, which is the third option
Answer:
l = 32.5 units, w= 27.5 units, A = 893.75 units²
Step-by-step explanation:
width is w
length is l = 5+w
P = 2( l+w) , substitute l for 5+w
P = 2(5+w+w)
P = 2(5+2w)
P = 10 +4w
P = 120
10 +4w = 120
4w = 120-10
4w = 110
w= 110/4
w= 27.5 units
l = 5+w = 5+ 27.5 = 32.5 units
A = l*w = 27.5 * 32.5 = 893.75 units ²
Solution:
<em>Simple Interest = Principal Amount × Rate of Interest/100 × Time</em>
Here, Principal Amount = $6000
Rate of Interest = 6%
Time = 4 years
Simple Interest = 6000 × 6/100 × 4 = <em>$1440</em>
Answer:
The sample of students required to estimate the mean weekly earnings of students at one college is of size, 3458.
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population mean (<em>μ</em>) is:
The margin of error of a (1 - <em>α</em>)% confidence interval for population mean (<em>μ</em>) is:
The information provided is:
<em>σ</em> = $60
<em>MOE</em> = $2
The critical value of <em>z</em> for 95% confidence level is:
Compute the sample size as follows:
![n=[\frac{z_{\alpha/2}\times \sigma }{MOE}]^{2}](https://tex.z-dn.net/?f=n%3D%5B%5Cfrac%7Bz_%7B%5Calpha%2F2%7D%5Ctimes%20%5Csigma%20%7D%7BMOE%7D%5D%5E%7B2%7D)
![=[\frac{1.96\times 60}{2}]^{2}](https://tex.z-dn.net/?f=%3D%5B%5Cfrac%7B1.96%5Ctimes%2060%7D%7B2%7D%5D%5E%7B2%7D)
Thus, the sample of students required to estimate the mean weekly earnings of students at one college is of size, 3458.
Answer:
3x^3+3x^2+5x-8
Step-by-step explanation:
