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Kaylis [27]
2 years ago
11

A die is rolled 23 times and the number of twos that come up is tallied. If this experiment is repeated many times, find the sta

ndard deviation for the number of twos.
19.2
1.8
2.4
5.8
Mathematics
1 answer:
Anon25 [30]2 years ago
7 0

The probability of rolling a 2 is 1/6. If X is a random variable representing the number of 2s that are obtained after rolling a die 23 times, then X follows a binomial distribution with success probability p = 1/6 across n = 23 trials.

The variance of a binomial distribution with parameters p and n is n p (1 - p), so the standard deviation in this case would be

√(23 • 1/6 • 5/6) ≈ 1.8

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Kruka [31]

This question is incomplete.

Complete Question

Astrid is in charge of building a new fleet of ships. Each ship requires 40 tons of wood, and accommodates 300 sailors. She receives a delivery of 4 tons of wood each day. The deliveries can continue for 100 days at most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to accommodate at least 2100 sailors. How much wood does Astrid need to accommodate 2100 sailors?

Answer:

280 tons of wood.

Step-by-step explanation:

From the above question:

To make 1 ship = we require 40 tons of wood.

1 ship = can accommodate 300 sailors.

Step 1

If :

300 sailors = 1 ship

2100 sailors = y ships

Cross Multiply

300 × y ships = 1 ship × 2100 sailors

y ships = 2100 / 300

y ships = 7

Hence, 2100 sailors can occupy 7 ships.

Step 2

We are told in the question that:

Astrid wants to build enough ships to accommodate at least 2100 sailors. How much wood does Astrid need to accommodate 2100 sailors?

If:

1 ship = 40 tons of wood

Since 7 ships can accommodate 2100 sailors,

7 ships =

7 × 40 tons of wood = 280 tons of wood.

Therefore , Astrid needs 280 tons of wood to accommodate 2100 sailors.

6 0
3 years ago
How many lines of symmetry does a circle have? What point do all lines of symmetry for a given circle have in common?
Alina [70]
A circle has infinit lines of symmetry. They pass through the centre of the circle and are the circle's diameter. Hope this helps! (:
4 0
3 years ago
HELP PLEASE HURRY!!
frozen [14]

Answer:

9.9225 E 34.

E = exponent

= 9.9225 x 10^34

Step-by-step explanation:

5 0
3 years ago
PLEASE HELP ME ITS ALGEBRA THANK YOUUUU
mina [271]

Answer:

2924

Step-by-step explanation:

2752 ÷ 16 = 172 ← number of points per coin

After collecting 17 points he will have collected

2752 + 172 = 2924 points in total

5 0
3 years ago
Read 2 more answers
Find the 31st term of the following sequence.. . 9, 15, 21, .... . . 186. 189. 195. . . is there an easy way to do this.
Alja [10]
This problem is an example of an arithmetic series.

The common difference of the second term (15) with the first term (9) and the third term (21) with the second term (15) [15-9=6; 21-15=6] is 6.

The formula for solving this is:
An= A1 +(n-1)*d where An is the nth term, A1 is the first term, n is the number of terms and d is the common difference.

An=9+ (31-1)*6 = 189

The answer is 189.
7 0
3 years ago
Read 2 more answers
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