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wlad13 [49]
3 years ago
11

The amount of rainfall in january in a certain city is normally distributed with a mean of 4.3 inches and a standard deviation o

f 0.3 inches. find the value of the quartile q1. 1.1 4.2 4.1 4.5

Mathematics
1 answer:
Sholpan [36]3 years ago
7 0
We start by showing the position of the first quartile, Q1 on the normal distribution graph. Q1 happens at 25% of the data.

The graph is shown below

We are interested in the area to the left of Q1 and we know that the probability is 0.25

We can find out the value of z-score from the table as shown below 

The z-score when p=0.25 is 0.68

then changing this z-score into the actual value

-0.68= \frac{X-4.3}{0.3}
-0.204=X-4.3
X=4.096

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Please help!!!!! <br> Which defines the piecewise function shown?
denis-greek [22]
<h2>Hello!</h2>

The answer is:

The second piecewise function,

f(x)=\left \{ {{-x-2,x

<h2>Why?</h2>

To answer the question, we need to find which piecewise function contains the graphs shown in the picture, we have that first line shown, is decreasing and exists from the negative numbers to 0,  and the line cuts the x-axis and the y-axis at "-2", for the second line shown,  we have that is decreasing but exists from 0 (including it) to the the positive numbers.

So, finding which piecewise satisfies the function shown, we have:

- First piecewise function:

f(x)=\left \{ {{-x-2,x

First line,

We have the first line,

-x-2

The variable has a negative coefficient (-1), meaning that the function (line) is decreasing, also we can see that the function does exists from all the numbers less than 0, to 0, and it cuts the x-axis at -2 and the y-axis at -2.

Second line,

\frac{x}{2}\geq 0

The variable has positive coefficient, meaning that the function (line) is increasing.

Hence, since the second line is not decreasing, the piecewise function is not the piecewise function shown in the picture.

- Second piecewise function,

f(x)=\left \{ {{-x-2,x

First line,

We have the first line,

-x-2

The variable has a negative coefficient (-1), meaning that the function (line) is decreasing, also we can see that the function does exist from all the numbers less than 0, to 0.

Second line,

-\frac{x}{2}\geq 0

The variable has a negative coefficient ((-\frac{1}{2}), meaning the the unction (line) is decreasing, also we can see that the function does exists from 0 (including it) to the positive numbers.

Hence, we have that the correct option is the second piecewise function,

f(x)=\left \{ {{-x-2,x

Note: I have attached a picture for better understanding.

Have a nice day!

3 0
3 years ago
Read 2 more answers
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Svet_ta [14]

Answer:

28

Step-by-step explanation:

Add 16 to 12, you get your answer :)

8 0
3 years ago
Origanal 240 pages 20% increase
FrozenT [24]
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20 % = 2 x 10%
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hope this helps you
6 0
3 years ago
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What makes the shapes similar?
son4ous [18]

Answer:

The answer is the first option

hope this helps

Step-by-step explanation:

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W + 3 = Ben's age or 3 + w = Ben's age, either way.
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