A. x>-5, that is greater than -5, so not this one
B. 5<x, that means x is bigger than 5, so not
C. x is greater than or equal to -10, so not this one
D. x is less than 10, so this one
D is answer
Sales price is
49,000,000×0.06
=2,940,000
Profit
2,940,000−1,470,000
=1,470,000...answer
Answer:
(a) ![\frac{4}{5} > \frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B5%7D%20%3E%20%5Cfrac%7B1%7D%7B2%7D)
(b) ![\frac{1}{3} < \frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20%3C%20%5Cfrac%7B1%7D%7B2%7D)
(c) Suki rode her bike a longer distance than Clarie
Step-by-step explanation:
Suki's distance is 4/5 miles
Now compare with bechmark 1/2
compare ![\frac{4}{5} and \frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B5%7D%20and%20%5Cfrac%7B1%7D%7B2%7D)
To compare , we make the denominators same
![\frac{4*2}{5*2} ----- \frac{1*5}{2*5}](https://tex.z-dn.net/?f=%5Cfrac%7B4%2A2%7D%7B5%2A2%7D%20-----%20%5Cfrac%7B1%2A5%7D%7B2%2A5%7D)
![\frac{8}{10} ----- \frac{5}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B10%7D%20-----%20%5Cfrac%7B5%7D%7B10%7D)
8/10 is greater than 5/10
![\frac{8}{10} > \frac{5}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B10%7D%20%3E%20%5Cfrac%7B5%7D%7B10%7D)
Clarie distance is 1/3 miles
Now compare with bechmark 1/2
compare ![\frac{1}{3} and \frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20and%20%5Cfrac%7B1%7D%7B2%7D)
To compare , we make the denominators same
![\frac{1*2}{3*2} ----- \frac{1*3}{2*3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%2A2%7D%7B3%2A2%7D%20-----%20%5Cfrac%7B1%2A3%7D%7B2%2A3%7D)
![\frac{2}{6} ----- \frac{3}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B6%7D%20-----%20%5Cfrac%7B3%7D%7B6%7D)
2/6 is less than 3/6
![\frac{2}{6} < \frac{3}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B6%7D%20%3C%20%5Cfrac%7B3%7D%7B6%7D)
Now we compare Suki's distance with Clarie
compare ![\frac{4}{5} and \frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B5%7D%20and%20%5Cfrac%7B1%7D%7B3%7D)
Make the denominators same
![\frac{4*3}{5*3} and \frac{1*5}{3*5}](https://tex.z-dn.net/?f=%5Cfrac%7B4%2A3%7D%7B5%2A3%7D%20and%20%5Cfrac%7B1%2A5%7D%7B3%2A5%7D)
![\frac{12}{15} and \frac{5}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B15%7D%20and%20%5Cfrac%7B5%7D%7B15%7D)
![\frac{12}{15} > \frac{5}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B15%7D%20%3E%20%5Cfrac%7B5%7D%7B15%7D)
Suki rode her bike a longer distance than Clarie
Answer with step-by-step explanation:
Let
A=Student studies for a test
B=Student gets good grade on a test
The probability that a student studies for a test=P(A)=0.61
The probability that a student gets a good grade on a test=P(B)=0.79
The probability that both occur=![P(A\cap B)=0.56](https://tex.z-dn.net/?f=P%28A%5Ccap%20B%29%3D0.56)
a.We have to find the events are independent
We know that if two events A and B are independent then
![P(A)\cdot P(B)=P(A\cap B)](https://tex.z-dn.net/?f=P%28A%29%5Ccdot%20P%28B%29%3DP%28A%5Ccap%20B%29)
![P(A)\cdot P(B)=0.61\times 0.79=0.4819](https://tex.z-dn.net/?f=P%28A%29%5Ccdot%20P%28B%29%3D0.61%5Ctimes%200.79%3D0.4819)
![P(A\cap B)\neq P(A)\cdot P(B)](https://tex.z-dn.net/?f=P%28A%5Ccap%20B%29%5Cneq%20P%28A%29%5Ccdot%20P%28B%29)
Hence, given events are not independent.
b.We have to find ![P(B/A)](https://tex.z-dn.net/?f=P%28B%2FA%29)
![P(B/A)=\frac{P(A\cap B)}{P(A)}](https://tex.z-dn.net/?f=P%28B%2FA%29%3D%5Cfrac%7BP%28A%5Ccap%20B%29%7D%7BP%28A%29%7D)
![P(B/A)=\frac{0.56}{0.61}=0.92](https://tex.z-dn.net/?f=P%28B%2FA%29%3D%5Cfrac%7B0.56%7D%7B0.61%7D%3D0.92)
c. We have to find ![P(A/B)](https://tex.z-dn.net/?f=P%28A%2FB%29)
![P(A/B)=\frac{P(A\cap B}{P(B)}](https://tex.z-dn.net/?f=P%28A%2FB%29%3D%5Cfrac%7BP%28A%5Ccap%20B%7D%7BP%28B%29%7D)
![P(A/B)=\frac{0.56}{0.79}=0.71](https://tex.z-dn.net/?f=P%28A%2FB%29%3D%5Cfrac%7B0.56%7D%7B0.79%7D%3D0.71)