Answer:
a) 0.50575,
b) 0.042
Step-by-step explanation:
Example 1.5. A person goes shopping 3 times. The probability of buying a good product for the first time is 0.7.
If the first time you can buy good products, the next time you can buy good products is 0.85; (I interpret this as, if you buy a good product, then the next time you buy a good product is 0.85).
And if the last time I bought a bad product, the next time I bought a good one is 0.6. Calculate the probability that:
a) All three times the person bought good goods.
P(Good on 1st shopping event AND Good on 2nd shopping event AND Good on 3rd shopping event) =
P(Good on 1st shopping event) *P(Good on 2nd shopping event | Good on 1st shopping event) * P(Good on 3rd shopping event | 1st and 2nd shopping events yield Good) =
(0.7)(0.85)(0.85) =
0.50575
b) Only the second time that person buys a bad product.
P(Good on 1st shopping event AND Bad on 2nd shopping event AND Good on 3rd shopping event) =
P(Good on 1st shopping event) *P(Bad on 2nd shopping event | Good on 1st shopping event) * P(Good on 3rd shopping event | 1st is Good and 2nd is Bad shopping events) =
(0.7)(1-0.85)(1-0.6) =
(0.7)(0.15)(0.4) =
0.042
Answer:
x = -8
Step-by-step explanation:
1/4x +2= -5/8x - 5
Add 5/8x to each side
1/4x +5/8x +2= -5/8x+5/8x - 5
1/4x+5/8x +2= - 5
Subtract 2 from each side
1/4x+5/8x +2-2= - 5-2
1/4x+5/8x = - 7
Get a common denominator
1/4 *2/2 x + 5/8x = -7
2/8x + 5/8x = -7
7/8x = -7
Multiply each side by 8/7
8/7x * 7/8x = -7 *8/7
x = -8
Answer:
0.186
Step-by-step explanation:
6.2
<u>x 0.0</u><u>3</u>
6
1
6.2
<u>x 0.0</u><u>3</u> since 6*3=18, we have to carry the 1
86
1
6.2
<u>x 0.0</u><u>3</u>
186
6.2
<u>x 0.</u><u>0</u><u>3</u>
186
0
6.2
<u>x 0.</u><u>0</u><u>3</u>
186
00
6.2
<u>x </u><u>0</u><u>.03</u>
186
00
0
6.2
<u>x </u><u>0</u><u>.03</u>
186
+ 00 add the partial products
<u> 0</u><u>0 </u>
00186
6.2
<u>x 0.</u><u>03</u><u> </u> count how many digits are after the decimal point from each factor =3 and place in product
186
+ 00
<u> 00 </u>
00.186=0.186
<em>answer=0.186</em>
28.27 is the area bc i had this as an example before lol