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aleksley [76]
2 years ago
9

The probability of an outcome that lies within 68% of the mean is a good indicator that it lies in which standard deviation?

Mathematics
1 answer:
Margaret [11]2 years ago
8 0

Answer: C) There is a probability that the outcome is within 1 standard deviation of the mean.

Step-by-step explanation:

The Standard Deviation Rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean. According to the rule,

68% of data falls within the first standard deviation from the mean.

95% fall within two standard deviations.

99.7% fall within three standard deviations

Therefore, the correct answer is

C) There is a probability that the outcome is within 1 standard deviation of the mean.

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Passengers of flyaway airlines can purchase tickets for either business class or economy class. On one particular flight there w
Slav-nsk [51]

Answer:

x = 8

y = 146

Error = 4.86%

Step-by-step explanation:

Number of business class passenger = x

and the economy class passenger = y

Total number of passengers = 154

x + y = 154 ------(1)

Cost of business class tickets and economy class tickets are €320 and €85 respectively.

Total amount received by airlines is €14970.

320x + 85y = 14970

64x + 17y = 2994 --------(2)

Multiply equation (1) by 17 and subtract from equation (2)

(64x + 17y) - (17x + 17y) = 2994 - 2618

47x = 376

x = 8

From equation (1),

8 + y = 154

y = 154 - 8

y = 146

Airline officer wrote down the amount received as €14270

Then difference from the actual amount received = 14970 - 14270

                                                                                   = €700

% Error =  \frac{\text{Difference in amount}}{\text{Actual amount}}\times 100

            = \frac{700}{14970}\times 100

            = 4.676

            ≈ 4.68%

Therefore, x = 8 and y = 146

             and % error = 4.68%

8 0
2 years ago
The expression shown can be used to calculate the amount of money in dollars a grocery store customer should receive in change w
Readme [11.4K]

Answer:

The change received by the customer is $7.

Step-by-step explanation:

First, write the given expression for the change when paying with $50.

50 - ( 14 + 12 + 2 ( 5 ) + 2 ( 2 ) + 3 )

Evaluate the parentheses:

50-(26+10+4+3)

Now add the numbers inside the parentheses.

50-43

Subtract the numbers.

7

Hence, the change received by the customer is $7.

4 0
2 years ago
Jada and Tonya ran 400-meter race. Jada ran the race in 75.2 seconds. Tonga ran the race 69.07 seconds. How much faster did Tony
Ksenya-84 [330]
Tonya beat Jada by 5.13 seconds
Jada is going 11.9 MPH
Tonya is going 13 MPH
Tonya is going 1.1 MPH faster than Jada

Please thank and follow me
:) :) :)
8 0
2 years ago
In the matrix shown, which element is A1,2?
anyanavicka [17]

Answer:

B. 2

Step-by-step explanation:

a1,1=1

a1,2=2

a1,3=3

a2,1=4

a2,2=5

a2,3=6

a3,1=7

a3,2=8

a3,3=9

8 0
2 years ago
An urn contains 2 red marbles and 3 blue marbles. 1. One person takes two marbles at random from the urn and does not replace th
Strike441 [17]
<h2>Answer with explanation:</h2>

Given : An urn contains 2 red marbles and 3 blue marbles.

Total marbles = 2+3=5

a) The general ways in which the person could get a red marble and a blue marble are :

1)  He draws red marble first and then second marble as blue.

2)  He draws blue marble first marble and then second marble as red.

b)  The number of ways to get one red and one blue marble is given by :-

^2C_1\times^3C_1=2\times3=6                          (i)

c) Number of ways to get 2 marbles from 5 is given by :-

^5C_2=\dfrac{5!}{2!(5-2)!}=\dfrac{5\times4\times3!}{3!\times2}=10     (ii)

Now, The probability the person gets a red and a blue marble will be :-

P(R\ \&B)=\dfrac{6}{10}=0.6       [Divide (i) by (ii)]

Hence, the  probability the person gets a red and a blue marble= 0.6

5 0
2 years ago
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