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ludmilkaskok [199]
2 years ago
10

Children under 10 years and older people over 65 years receive a discount on movie tickets. Let x represent the age

Mathematics
1 answer:
Nuetrik [128]2 years ago
6 0

Answer:

Hi

Step-by-step explanation:

In

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The lifetime of a certain type of battery is normally distributed with mean value 10 hours and standard deviation 1 hour. There
Oksi-84 [34.3K]

Answer:

z=1.64

And if we solve for a we got;

10 +1.64*1=11.64

So the value of height that separates the bottom 95% of data from the top 5% is 11.64  

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 certain lifetime of a population, and for this case we know the distribution for X is given by:

X \sim N(10,1)  

Where \mu=10 and \sigma=1

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

P(X>a)=0.05   (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 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64. On this case P(Z<1.64)=0.95 and P(z>1.64)=0.05

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=1.64

And if we solve for a we got;

10 +1.64*1=11.64

So the value of height that separates the bottom 95% of data from the top 5% is 11.64  

4 0
3 years ago
What are the solutions to the system of equations? y=x2−5x−6 y=2x−6
Leya [2.2K]

Answer:

I graphed both equations to find the solutions.

Step-by-step explanation:

When x is 0, y is -6. When x is 7, y is 8.

x = 0 and 7

4 0
3 years ago
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On a scale drawing of Princeton, two landmarks are shown 2 centimeters apart. If the scale of the map is 1 centimeter : 35 kilom
tankabanditka [31]

Answer:

  70 km

Step-by-step explanation:

2 cm is twice as much as 1 cm. So, the distance between landmarks will be twice as much as 35 km.

The actual distance is 70 km.

3 0
3 years ago
Find the product of 2.7 and 3.59.
Paha777 [63]

Answer:

9.693 hope this helps!!!

3 0
2 years ago
I can't fail and no one has answered my previous questions so please help.
Afina-wow [57]
When you know your equation f(x) and they want you to find f(-4), it means that they want to know what f(x) is worth when x=-4 Therefore, you only need to plug in you x in the equation f(x)=5x-2 f(-4)=5(-4)-2 =-20-2 =-22 (B)
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