Answer:
1. Yes
2. Yes
3. No
4. No
Step-by-step explanation:
4(-2) +9>-19 Multiply 4 and -2
-8+9>-19 Add -8 and 9
1 > -19 1 is greater than -19
4(5) +9>-19
20+9>-19
29>-19 29 is greater than -19
4(-10) +9>-19
-40+8>-19
-32>-19 -32 is not greater than -19
4(-7) +9>-19
-28+9>-19
-19>-19 -19 is not greater than -19
Answer: (a) 43 (b) 25.5 (c) 17.5
<u>Step-by-step explanation:</u>
f(x) = 51
Replace f(x) with 51
a) f(x) - 8 = 51 - 8 = 43
![b)\quad \dfrac{1}{2}f(x)\qquad =\dfrac{1}{2}\cdot 51\qquad =\dfrac{51}{2}\qquad =25.5](https://tex.z-dn.net/?f=b%29%5Cquad%20%5Cdfrac%7B1%7D%7B2%7Df%28x%29%5Cqquad%20%3D%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%2051%5Cqquad%20%3D%5Cdfrac%7B51%7D%7B2%7D%5Cqquad%20%3D25.5)
![c)\quad \dfrac{1}{2}f(x)-8\qquad =25.5-8\qquad =17.5](https://tex.z-dn.net/?f=c%29%5Cquad%20%5Cdfrac%7B1%7D%7B2%7Df%28x%29-8%5Cqquad%20%3D25.5-8%5Cqquad%20%3D17.5)
1. no...because this is a subtraction problem
2. yes...243 books / 20 shelves = 12.15 books per shelf
3. yes...243/20 = $ 12.15 per day
4. yes...243 miles / 20 days = 12.15 miles per day
Answer:
A) 0.386
B).0.325
Step-by-step explanation:
probability p will not work = 0.15
Q probability w5ill work = 0.85
Number of flashlight = 3
Probabilty of at least one=
1- probability of none
But probability of none= 3C0(p)^0(q)^3
= 1*(0.15)^0(0.85)^3
= 1*1*(0.614)
= 0.614
Probability of at least one=1-0.614
= 0.386
Probability of two flashlight work
= 3C1(0.15)^1(0.85)^2
= 3*(0.15)*(0.7225)
= 0.325