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Leni [432]
2 years ago
15

On a december day, the probability of snow is .30. the probability of a "cold" day is .50. the probability of snow and "cold" we

ather is .15. are snow and "cold" weather independent events?
Mathematics
1 answer:
Svetradugi [14.3K]2 years ago
7 0
Events A and B are independent if the following holds true:

P(A ∩ B) = P(A) * P(B)

where P(A ∩ B) is the probability of A and B, P(A) is the probability of A, and P(B) is the probability of B.

Setting A = "snow" and B = "cold weather", and plugging in the above numbers will give you the answer.
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In quadrilateral ABDC, AB ∥ CD. Which additional piece of information is needed to determine that ABDC is a parallelogram? AB ≅
siniylev [52]

For any quadrilateral to be a parallelogram

i) either both the pairs of opposite sides must be equal

ii) Both the pairs of opposite sides must be parallel

iii) Opposite pairs of angles must be equal

iv) Diagonals must bisect each other.

v) A pair of opposite sides must be parallel and equal

Here we are already given that AB || CD

So either we should be given that AD || BC

or we must be given that AB = CD

Here it is given AB = CD as an option.

So Option A) or the first option is the right answer that AB ≅CD is needed to prove ABCD is a parallelogram.


7 0
2 years ago
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Ford Motor Company sells the Fusion SES for $24,400. The Fusion Hybrid sells for $29,975. What is the percentage increase in pri
Lubov Fominskaja [6]
Percent increase is:
Change/original * 100
(29975-24400)/24400
5575/24400= .228 * 100=
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6 0
2 years ago
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A new parking lot is being built for a medical office. The expression representing the number of parking spots in the new lot is
docker41 [41]

Answer:

111 spots

Step-by-step explanation:

Let y denote the total number of parking spots expressed as:

y=\frac{15x}{4}-9\\\\

Given that x is the number of spots in the first row.

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y=\frac{15x}{4}-9,\ \ x=32\\\\=\frac{15\times 32}{4}-9\\\\=120-9\\\\=111

Hence, there are 111 spots in the parking lot.

5 0
2 years ago
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Michelle exercises for half an hour every day. How minutes in total does she exercise for over 5 days?
enyata [817]

First, Michelle exercises for thirty minutes every day.

If Michelle exercises for 30 minutes for 5 days, this would 30 × 5.

30 × 5 = 150 minutes

3 0
2 years ago
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The chart indicates the time, speed, and velocity of five runners.
Nuetrik [128]
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