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Ne4ueva [31]
3 years ago
15

Select all that apply. A card is randomly drawn from a deck of cards. (There are 52 cards in a deck, with 13 cards of each suit.

) You record the following results for the experiment. Hearts Clubs Spades Diamonds Times Drawn 28 32 18 22 Which of the following are true? The experimental probability of drawing a club is 32%. The theoretical probability of drawing a diamond is 25%. Based on the experimental probability, there would be 90 spades drawn in 500 trials. Based on the theoretical probability, there would be 120 hearts drawn in 500 trials.
Mathematics
1 answer:
gayaneshka [121]3 years ago
8 0
True: The theoretical  probability of drawing a diamond is 25%. Since there are the same number of cards for each of the four suits, the chance of drawing any suit is 25%.

True: Based on the experimental probability, there would be 90 spades drawn in 500 trials. 0.18 x 500 = 90

The rest of the statements are false.
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Please help, I dont know the answer, can someone tell me the answer please and explain it?
sergiy2304 [10]

Answer:

Kristen is correct.

2^3 is the same thing as 2 times 2, times 2. 2 cubed = 8.

5 0
3 years ago
Find x if segment A B is perpendicular to segment C D in the figure below.
ki77a [65]
If segment AB is perpendicular to segment CD, then a right angle (90°) is formed.


7x + 27 = 90

7x = 63

x = 9
3 0
3 years ago
Read 2 more answers
A. [4 marks]
storchak [24]

The value of d is -2

Step-by-step explanation:

The nth term of the arithmetic sequence is u_{n}=u_{1}+(n-1)d , where

  • u_{1} is the first term
  • d is the common difference between each 2 consecutive terms

The nth term of the geometric sequence is u_{n}=u_{1}r^{n-1} , where

  • u_{1} is the first term
  • r is the common ratio between each two consecutive terms r=\frac{u_{2}}{u_{1}}=\frac{u_{3}}{u_{2}}

∵ u_{1} of an arithmetic sequence is 1

∵ The common difference is d, where d ≠ 0

∵ u_{2} , u_{3} , u_{6} are the first 3 terms of a geometric sequence

∵ u_{2} = 1 + (2 - 1)d

∴ u_{2} = 1 + d

∵ u_{3} = 1 + (3 - 1)d

∴ u_{2} = 1 + 2d

∵ u_{6} = 1 + (6 - 1)d

∴ u_{2} = 1 + 5d

∴ The first 3 terms of the geometric sequence are (1 + d) , (1 + 2d) ,

   (1 + 5d)

∵ The common ratio in the geometric sequence is r=\frac{u_{2}}{u_{1}}=\frac{u_{3}}{u_{2}}

∴ r=\frac{1+2d}{1+d}=\frac{1+5d}{1+2d}

- Use cross multiplication with the equal fractions

∵ \frac{1+2d}{1+d}=\frac{1+5d}{1+2d}

∴ (1 + 2d)(1 + 2d) = (1 + d)(1 + 5d)

∴ 1 + 2d + 2d + 4d² = 1 + 5d + d + 5d²

- Add like terms in each side

∴ 1 + 4d + 4d² = 1 + 6d + 5d²

- Subtract 1 from both sides

∴ 4d + 4d² = 6d + 5d²

- Subtract 4d from both sides

∴ 4d² = 2d + 5d²

- Subtract 4d² from each side

∴ 0 = 2d + d²

- Take d as a common factor

∴ 0 = d(2 + d)

- Equate each factor by 0

∴ d = 0 but we will reject it because d ≠ 0

∴ 2 + d = 0

- Subtract 2 from both sides

∴ d = -2

The value of d is -2

Learn more:

You can learn more about the sequence in brainly.com/question/1522572

#LearnwithBrainly

7 0
3 years ago
What is the simple interest for a principal of $650 invested at a rate of 9% for 5 years?
Ne4ueva [31]

Answer: 292.50 dollars

Work Shown:

P = 650 is the the principal.

r = 0.09 is the interest rate in decimal form.

t = 5 is the number of years.

i = P*r*t

i = 650*0.09*5

i = 292.50 is the simple interest.

8 0
3 years ago
I need help with these questions, thanks!
kifflom [539]

Answer:

????

Step-by-step explanation:

number 1 could be 2 different answers

7 0
3 years ago
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