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ra1l [238]
3 years ago
9

How many miles did a plane travel if it flew 455 miles per hour in 3 hours and what formula did you have to use

Mathematics
1 answer:
Kitty [74]3 years ago
4 0

Answer:

It flew 1,365 miles

Step-by-step explanation:

Just multiply the speed in mph by the time in hours so 455 * 3

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normally distributed with mean 24.6 seconds and standard deviation 0.64 seconds;the lower finishing time, the better. If the qua
marshall27 [118]

Answer:

z=1.04

And if we solve for a we got

a=24.6 +1.04*0.64=25.27

So the value of height that separates the bottom 85% of data from the top 15% is 25.27.  

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the finishing time of a population, and for this case we know the distribution for X is given by:

X \sim N(24.6,0.64)  

Where \mu=24.6 and \sigma=0.64

Solution to the problem

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.15   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.85 of the area on the left and 0.15 of the area on the right it's z=1.04. On this case P(Z<1.04)=0.85 and P(z>1.04)=0.15

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=1.04

And if we solve for a we got

a=24.6 +1.04*0.64=25.27

So the value of height that separates the bottom 85% of data from the top 15% is 25.27.  

3 0
2 years ago
If varies inversely as . It is known that = 10 when = 3, find the value of when = 5.
Leto [7]

Answer:

y = 6

Step-by-step explanation:

If x varies inversely proportional as y.

x=\dfrac{k}{y}, k is constant of proportionality

or

k = xy

When x = 3 and y = 10

k = 3×10

k = 30

Put x = 5,

y=\dfrac{k}{x}\\\\y=\dfrac{30}{5}\\\\y=6

So, the value of y is 6 when x is 5.

8 0
2 years ago
What is the value of x? (will give brainliest if you show your work) PLEASE HELP
andrew-mc [135]
Check the picture below.

\bf \cfrac{8}{12}=\cfrac{x+4}{2x+1}\implies 16x+8=12x+48\implies 4x=40&#10;\\\\\\&#10;x=\cfrac{40}{4}\implies x=10

8 0
3 years ago
a pet store keeps 4 small fish in every 10 gallons of water how many gallons of water is needed for 36 fish
faltersainse [42]
90 gallons of water
7 0
3 years ago
Read 2 more answers
Determine if the two triangles are congruent
8090 [49]
They are not congruent. Hope this helped!
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2 years ago
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