Answer:
Area of ΔPQR = 25 units
Step-by-step explanation:
We will use the following formula to calculate the area of triangle ΔPQR:
A = 1/2 | x₁(y₂-y₃) + x₂(y₃-y₁) + x₃(y₁-y₂) | = 1/2 |(-6(1+3) +2(-3-7) +(-1)((7-1)| =
A = 1/2 |-6 · 4 + 2 · (-10) + (-1) · 6| = 1/2 | -24-20-6| = 1/2 | -50| = 1/2 · 50 = 25
A = 25 units
God with you!!!
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
The slope of the line containing the points is 28... we need the negative reciprocal of this for the slope of line perpendicular..
So the slope would be: choice B
Answer:
7 rings = $2.52
then 1 ring will cost = 1/7×2.52
= 0.36
Therefore 1 ring will cost $0.36.
Answer:
TRUE
Step-by-step explanation:
TRUE
a_1 = 2
a_n = 2*(an_1)
if we start with 2, we would get
a_2 = 2*(a_1) = 2*(2) = 4
a_3 = 2*(a_2) = 2*(4) = 8
a_4 = 2*(a_3) = 2*(8) = 16
a_5 = 2*(a_4) = 2*(16) = 32
.
.
.
and so on
