Answer: 0.4987
Step-by-step explanation:
Given : The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with
Mean : 
Standard deviation : 
Let X be the random variable that represents the weight of randomly selected student .
Z score : 
For x = 5 lbs

For x = 11 lbs

By using the standard normal distribution table , the probability that the weight of the newborn baby boy will be between 5 lbs and 11 lbs :-

Hence, the probability that the weight of the newborn baby boy will be between 5 lbs and 11 lbs =0.4987
Answer:
2√3
Step-by-step explanation:
So √12 is in radical form. I think what you are asking for is to reduce the expression to its **simplest** readical form.
So 12 = 4*3, √12 = √4 * √3.
So 12 = 4*3, √12 = √4 * √3.
We can ‘reduce’ this by noting that √4 =2, so the expression becomes 2√3.
This cannot be further reduced because 3 isn’t a square or divisible by a square, so 2√3 is the simplest radical form.
The corresponding range of the domain is (11, -4, -29)
<h3>How to determine the range?</h3>
The function is given as:
5x + y = 1
Make y the subject
y = 1 - 5x
The domain is given as:
(-2,1,6)
Substitute these values in y = 1 - 5x
y = 1 - 5(-2) = 11
y = 1 - 5(1) = -4
y = 1 - 5(6) = -29
Hence, the corresponding range of the domain is (11, -4, -29)
Read more about domain and range at:
brainly.com/question/1632425
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Since Perimeter is Length+ Width, and there are "two lengths" and "two widths", the formula needed here is p=2l+2w. We have the P, so using that, along with knowing that l is 41ft longer than w;
p = 278 , l = w+41
278 = 2l + 2w
278 = 2(w+41) + 2w
We'll use the DISTRIBUTIVE PROPERTY first: 278 = 2w + 82 + 2w
Then we'll COMBINE LIKE TERMS: 278 = 4w + 82
Next we'll subtract 82 from both sides: 196 = 4w
And finally divide both sides by 4:
49 = w
Since the length is w+41 and we now know the width, we can see what the length is: l = w+41 , l = 49 + 41 , l = 90.
Now that we know the length, we can see what the dimensions of the court are:
Perimeter is 278ft
Width is 49ft
And the Length is 90ft.
Yes....a rational number can be turned into a fraction
1.76 = 176/100