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IgorLugansk [536]
3 years ago
9

The length of a text messaging conversation is normally distributed with a mean of 2 minutes and a standard deviation of 0.5 min

utes. What is the probability that a conversation lasts longer than 3 minutes? 0.043351 0.063748 0.02275 0.095424
Mathematics
1 answer:
Hitman42 [59]3 years ago
8 0
Given:
μ = 2 min, population mean
σ = 0.5 min, population standard deviation

We want to find P(x>3).

Calculate the z-score
 z= (x-μ)/σ = (3-2)/0.5 = 2

From standard tables, obtain
P(x ≤ 3) = P(z ≤ 2) = 0.9772
Therefore
P(x > 3) = P(z > 2) = 1 - 0.9772 = 0.0228

Answer: 0.02275
jorelis
2 years ago
are you sure?
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A city police officer using radar checked the speed of 26 cars as they were travelling down a city street and the data is given
pychu [463]

Answer: The distribution of the data set is positively skewed.

<u>Explanation: </u>

In order to see whether the given data set is symmetric, positively skewed or negatively skewed, we will find the mean, median and mode of the given data set.

For symmetric distribution, Mean = Median=Mode

For positively skewed distribution, Mean > Median>Mode

For negatively skewed distribution, Mean < Median

The mean of the given data set is given below:

Mean = \frac{27+23+22+38+43+24+25+23+22+54+31+30+29+48+27+25+29+28+26+33+25+21+23+34+20+23}{26}

                =\frac{753}{26}

                =28.96

Now, the Median is:

To find the median we need to sort the data in ascending order as:

20,21,22,22,23,23,23,23,24,25,25,25,26,27,27,28,29,29,30,31,33,34,38,43,48,54

Median=\left(\frac{N+1}{2} \right)^{th} item

                   =\left(\frac{26+1}{2}\right)^{th} item

                   =13.5^{th} item

                   =26+0.5 \times (27-26)

                   =26.5

\therefore Median = 26.5

The mode is the most frequently occurring observation. Therefore the mode is:

Mode=23

Since the Mean >Median>Mode, therefore the distribution of the given data set is positively skewed.


5 0
3 years ago
Ryan and Danielle competed in a bike race.Ryan biked 11,988 meters and Danielle 13,336 meters.How much more did Danielle bike th
salantis [7]

Answer:

1348 more meters.

Step-by-step explanation:

Subtract

13336 - 11988 = 1348

Danielle biked 1348 more meters than Ryan

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

8 0
3 years ago
Read 2 more answers
myra earns 110$ per wewk at her part time job after school how much money does myra earn in one month​
stiv31 [10]

4x110=440 so the answer is 440

5 0
3 years ago
Read 2 more answers
Help help help help plz plz
lara [203]

Answer: 0.14 is the answer

Step-by-step explanation:

7 0
3 years ago
Use the babylonian method to approximate square root of 24 to the nearest hundredth.
irina [24]
We will start with our guess of 12, since 12*2 = 24.
Divide 24 by 12; 24/12=2.  Average this answer with our guess:  (12+2)/2=7.  This is our new guess.
24/7=3.428571429.  Average this with our guess of 7:  (3.428571429+7)/2=5.214285715.  This is our new guess.
24/5.214285715=4.602739726.  Averaging with our guess:  (4.602739726+5.214285715)/2=4.90851272.  New guess!
24/4.90851272=4.889464766.  Averaging with our guess:  (4.889464766+4.90851272)/2=4.898988743.  New guess!  You can see as we go through our guesses are closer and closer to the same number...)
24/4.898988743=4.898970228.  Averaging:  (4.898970228+4.898988743)/2=4.898979486.  At this point our answer is the same every time down to the hundred-thousandth.  Our estimate to the nearest hundredth would be 4.90.
6 0
2 years ago
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