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Anika [276]
3 years ago
9

Help asap plsplspls!! :)

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
8 0
Converted to a decimal it’s -0.8
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Assume that the empirical rule is a good model for the time it takes for all passengers to board an airplane. The mean time is 4
slamgirl [31]

Answer:

The interval that describes how long it takes for passengers to board the middle 95% of the time is between 40.16 minutes and 55.84 minutes.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 48, \sigma = 4.

Which interval describes how long it takes for passengers to board the middle 95% of the time?

This is between the 2.5th percentile and the 97.5th percentile.

So this interval is the value of X when Z has a a pvalue of 0.025 and the value of X when Z has a pvalue of 0.975

Lower Limit

Z has a pvalue of 0.025 when Z = -1.96. So

Z = \frac{X - \mu}{\sigma}

-1.96 = \frac{X - 48}{4}

X - 48 = -1.96*4

X = 40.16

Upper Limit

Z has a pvalue of 0.975 when Z = 1.96. So

Z = \frac{X - \mu}{\sigma}

1.96 = \frac{X - 48}{4}

X - 48 = 1.96*4

X = 55.84

The interval that describes how long it takes for passengers to board the middle 95% of the time is between 40.16 minutes and 55.84 minutes.

7 0
3 years ago
Math questions. Correct please
finlep [7]
Hello there! The answer for question 3 is 4 dogs 

The answer for question 2 is  D 6%, 0.66, 6/10

The answer for question 1 is 20% 

Hope this helps out! :)


8 0
3 years ago
yul has lunch at a restaurant. If his bill is 14.50 and yul wants to leave 20% tip, what is the amount he should leave for the t
kodGreya [7K]
If you would like to know what is the amount of money Yul should leave for the tip, you can calculate this using the following steps:

20% of $14.50 = 20% * 14.50 = 20/100 * 14.50 = $2.9

Result: Yul should leave $2.9 for the tip.
6 0
3 years ago
Read 2 more answers
A=. B= 2.6 c=6.2 using Pythagorean Theron what is a?
Kryger [21]
Hello!
So you will use the Pythagorean Theron equation which is Asquare + bsquare=C square
Plug in what you are given to find the missing piece

A square+ (2.6)square= (6.2) square
Asquare+ 6.76= 38.44
(Subtract 6.76to both sides to isolate A)
Asquare= 31.68
(Take the square root of both sides to find out what A is)
A=5.628

6 0
3 years ago
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If Fernando paid $450 for a netbook that was 75% of the original price, what was the original price?
Sav [38]

Answer:

$600

Step-by-step explanation:

75*100/450

7500/450

600

<em>Thank me later :)</em>

(<em>Or just give brainliest)</em>

4 0
3 years ago
Read 2 more answers
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