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zheka24 [161]
2 years ago
7

An experiment consists of drawing a single card from a standard deck of 52 cards. Event A is "drawing a heart and event B is "dr

awing a face card
(jack, queen, or king)."
Are events A and B dependent or independent? Why?
Select the option that correctly answers both questions.
O Events A and B are dependent, because P(A) + P(BLA).
O Events A and B are independent, because P(B) = P(B|A) -
O Events A and B are dependent, because P(B) P(BA).
O Events A and B are independent, because P(A) = P(BA) = 4
Mathematics
1 answer:
zhannawk [14.2K]2 years ago
5 0

Answer:

I just took workbook 26.2 and the answer is

ANSWER: <u>events a and b are independent, because p(b) = p(b | a) = 3/13</u>

Step-by-step explanation:

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20 POINTS!!! PLZ ANSWER!! On the moon, the time, in seconds, it takes for an object to fall a distance, d, in feet, is given by
scoundrel [369]

Answer:

Part a) f(2)=1.57\ sec

It takes 1.57 seconds for an object to fall a distance of 2 feet

Part b) see the explanation

Part c) 2,165.43\ sec

Step-by-step explanation:

Let

f(d) -----> the time in seconds it takes for an object to fall

d -----> distance in feet

we have

f(d)=1.11\sqrt{d}

Part a): Determine f(2) and explain what it represents

we know that

f(2) represent the time in seconds it takes for an object to fall a distance of 2 feet

For d=2\ ft

substitute in the function above and solve for f(2)

f(2)=1.11\sqrt{2}

f(2)=1.57\ sec

therefore

It takes 1.57 seconds for an object to fall a distance of 2 feet

Part b) The imbrium basin is the largest basin on the moon. A reasonable domain for the height above the lowest point in the basin is given by {d|0 ≤ d ≤ 3805774}

What does this tell you about the basin?

The height of the basin is greater than or equal to 0 ft and less than or equal to 3,805,774 ft  

so

The maximum height of the basin is 3,805,774 ft

Part c) How long would it take a rock to drop from the rim to the bottom of the basin?

we know that

The distance from the rim to the bottom of the basin is equal to the maximum height of the basin

so

d=3,805,774\ ft

substitute the value of d in the function f(d)

f(d)=1.11\sqrt{3,805,774}

f(d)=2,165.43\ sec

3 0
3 years ago
There is a pie-eating contest with 14 participants. There are 29 pies that are all eaten. Which of the following best describes
vitfil [10]
I don’t see any other way to say it except for 14/29
4 0
3 years ago
Move numbers to the blanks to show a meaning of 5×2 = 10
MrRissso [65]

Answer:

The expression 5 × 2 = 10 means:

  • 10 is 5 times as many as 2.

Step-by-step explanation:

Given the expression

  • 5 × 2 = 10

From the expression, it is clear that we can determine that when we multiply 2 by 5 to get 10.

In other words, we can determine the value 10 by:

  • 2+2+2+2+2 = 10

It means 10 is 5 times as many as 2.

Therefore, the expression 5 × 2 = 10 means:

  • 10 is 5 times as many as 2.
6 0
2 years ago
The snack bar at your school has added sushi to its menu. The ingredients for one roll include sushi​ rice, seaweed​ sheets, cuc
amid [387]

Answer:

The answer si:  

- 16 servings - 6 oz of salmon

- 24 servings - 9 oz of salmon

- 80 servings - 30 oz of salmon

- 100 servings - 37.5 oz of salmon

1 roll is 8 servings and it is also made of 3oz of smoked salmon. That means that 3oz of smoked salmon is needed fo 8 servings.

Now, let's made some proportions:

16 servings:

3 oz is for 8 servings, how much oz is for 16 servings:

3 : 8 = x : 16

x = 3 · 16 ÷ 8 = 6 oz

24 servings:

3 oz is for 8 servings, how much oz is for 24 servings:

3 : 8 = x : 24

x = 3 · 24 ÷ 8 = 9 oz

80 servings:

3 oz is for 8 servings, how much oz is for 80 servings:

3 : 8 = x : 80

x = 3 · 80 ÷ 8 = 30 oz

100 servings:

3 oz is for 8 servings, how much oz is for 100 servings:

3 : 8 = x : 100

x = 3 · 100 ÷ 8 = 37.5 oz

5 0
3 years ago
Which expression represents the area of the garden in square feet?
Kisachek [45]

Answer:

C. 42x² - 3x - 9

Step-by-step explanation:

Area:

(7x + 3) (6x - 3)

7x(6x - 3) + 3(6x - 3)

42x² - 21x + 18x - 9

42x² - 3x - 9

8 0
3 years ago
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