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dmitriy555 [2]
3 years ago
6

a physician wants to estimate with 92% confidence the average height of 6 year old boys in his community he wants his margin of

error to be 0.5 in the population of these heights is normally distributed with a standard deviation of 1.8 inches how many 6 year old boy should he use in his sample​
Mathematics
1 answer:
iris [78.8K]3 years ago
5 0

Answer:

n=40 boys

Step-by-step explanation:

-Margin of error is given by the formula:

E=z\frac{\sigma}{\sqrt{n}}

-The z score for a probability of 92% is 1.75

#We make n the subject of the formula and substitute at a 92% confidence:

E=z\frac{\sigma}{\sqrt{n}}\\\\\sqrt{n}=\frac{z\sigma}{E}\\\\n=[\frac{z\sigma}{E}]^2\\\\\therefore n=[\frac{1.75\times 1.8}{0.5}]^2\\\\=39.69\approx 40

Hence, he needs approximately 40 boys for the study

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Gnesinka [82]

The values of a and b are 1/4 and 1/5 respectively

<h3>How to determine the true statement?</h3>

The function is given as:

16x^2 - 25y^2 = 1

The above function is a horizontal hyperbola.

A horizontal hyperbola that passes through the origin is represented as:

\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1

Rewrite 16x^2 - 25y^2 = 1 as

\frac{x^2}{1/16} - \frac{y^2}{1/25} = 1

By comparison, we have:

a^2 = \frac{1}{16}

b^2 = \frac{1}{25}

Solve for  a and b

a = \frac{1}{4}

b = \frac{1}{5}

Hence, the values of a and b are 1/4 and 1/5 respectively

Read more about hyperbola at:

brainly.com/question/27799190

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7 0
1 year ago
A right triangle has an area of 50 square inches. If the triangle is an isosceles triangle, what are the lengths of the legs of
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<span>If this is an isosceles triangle, then it has two 45 degree angles corresponding to two legs of equal length.  Orient the base of this triangle so that it's horizontal, and represent its length by b.  Let h represent the height of the triangle.  Then the area of this right triangle is 50 square inches = (1/2)(b)(h), or A = (b/2)h = 50 in^2.   

Due to the 45 degree angles, the height of this triangle is equal to half the base, or h = b/2.  Thus, (b/2)h = 50 becomes (b/2)(b/2) = 50, or b^2=200. Thus, b = 10sqrt(2), and h=(1/2)(10 sqrt(2)), or h = 5sqrt(2).

The length of one of the legs is the sqrt of  [5sqrt(2)]^2+[5sqrt(2)]^2, or

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3 years ago
What is the value of a if (2a +3) - (4a-8)= 7
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3 years ago
Hurry up need this answered quickly!
Naddik [55]

Answer:

26.3158 percent chance fraction is 500/19

Step-by-step explanation:

hope this helps

pls mark brainliest

fraction is 500/19

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2 years ago
Y+4=-2(x-1) slope intercept form
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To convert this equation into slope intercept form simply distribute the number of -2 and put it in

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I believe this is the solution in slope intercept form.
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3 years ago
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