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Genrish500 [490]
3 years ago
14

Two events e and f are​ __________ if the occurrence of event e in a probability experiment does not affect the probability of e

vent f.
Mathematics
1 answer:
Verdich [7]3 years ago
4 0
<span>Two events e and f are​ independent if the occurrence of event e in a probability experiment does not affect the probability of event f. And if it opposite to that and affect the probability of event f, then two events are dependent.
When we collect the possible outcomes from a probability experiment, this is called an event and it may consist of one or more than one outcomes.</span>
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A circle is centered at the point (5,-4) &amp; passes through the point (-3,2).
maxonik [38]

Equation of the circle:

(x-5)^2+(y+4)^2=100

Step-by-step explanation:

The equation of a circle is given by

(x-x_0)^2+(y-y_0)^2=r^2

where

(x_0,y_0) are the coordinates of the center of the circle

r is the radius of the circle

For the circle in this problem, we know that:

(5,4) are the coordinates of the center

We also know that the circle passes through the point (-3,2), therefore we can calculate the radius as the distance between the point on the circle and the center of the circle:

r=\sqrt{(-3-(5))^2+(2-(-4))^2}=\sqrt{(-8)^2+(6)^2}=\sqrt{64+36}=10

Therefore, the equation of the circle is:

(x-5)^2+(y-(-4))^2=10^2\\(x-5)^2+(y+4)^2=100

Learn more about circles:

brainly.com/question/4713715

brainly.com/question/3456442

brainly.com/question/3333996

#LearnwithBrainly

5 0
3 years ago
PQRS is a rectangle.
Anuta_ua [19.1K]

Answer:

diagram pls

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8 0
2 years ago
A bank is offering you an introductory credit card promotion. Your interest for the first year is 8%. But, at the beginning
Art [367]

Answer:

  • c) $22.50

Explanation:

<u>1. Calculate the monthly interest owed during year 1</u>

<u />

  • <em>Interest for first year: 8%</em>

  • The monthly rate is the yearly rate divided by 12: 8% / 12 = 0.08/12

  • The monthly interest owed is the monthly rate times the balance: (0.08/12)×$1,800 = $12.00

<u>2. Calculate the monthly interest owed during year 2</u>

<u />

  • <em>Interest for second year: 23%</em>

  • The montly rate is the yearly rate divided by 12: 23% / 12 = 0.23/12

  • The monthly interest owed is the monthly rate times the balance: (0.23/12)×$1,800 = $34.50

<u>3. Calculate the difference</u>

  • Difference in the monthly interest owed during year 1 and year 2 = $34.50 - $12.00 = $22.50

Hence, the answer is the option c) $22.50

7 0
3 years ago
Choose a number that will produce an irrational answer when added to 7/8. PLEASE HELP ITS DUE AT MIDNIGHT.
yawa3891 [41]

Answer:

√7

Step-by-step explanation:

2/5, 0.404040 and 0.286 are all rational as they all can be expressed in fraction form (0.4040 can be expressed as 40/99 and 0.286 as 286/1000 (can simplify but I didn't)) sqrt7 is the only irrational number.

3 0
2 years ago
Leah knit a scarf that is 130 centimeters long, Theo knit a scarf that is 4/3 as long
Delvig [45]

Answer: Theo's scarf is  173 + 1/3 centimeters long.

Step-by-step explanation:

The scarf of Leah is 130 centimeters long.

The one of Theo is 4/3 as long as the one of Leah, then we have that the length of the scarf of Theo is:

Lenght = (4/3)*130 cm =(4*130)/3 cm =520/3 cm  

Now, we know that if all the digits of a number add up to a multiple of 3, that number is divisible by 3.

520/3 = (519 + 1)/3 = 519/3 + 1/3 = 173 + 1/3

Theo's scarf is  173 + 1/3 centimeters long.

3 0
3 years ago
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