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sasho [114]
3 years ago
9

A toy factory makes 5,000 teddy bears per day. The supervisor randomly selects 10 teddy bears from all 5,000 teddy bears and use

s this sample to estimate the mean weight of teddy bears and the sample standard deviation. How many degrees of freedom are there in the estimate of the standard deviation?
Mathematics
1 answer:
tankabanditka [31]3 years ago
3 0

Answer:

9

Step-by-step explanation:

<em>Degrees of freedom</em> is the number of values in the final calculation of a statistic that are free to vary. Degrees of freedom are related to sample size and calculated by n-1 where n is the <em>sample size</em>.

The Supervisor selects 10 teddy bears as sample from 5000 teddy bears produced daily.  Therefore in this situation, there are 10-1=9 degrees of freedom

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Instructions: Find the surface area of the figure below. Round your answers to the nearest tenth, if necessary.
Y_Kistochka [10]

The surface area of the figure given is of: 61.3 yd².

<h3>What is the combined surface area of a figure?</h3>

The combined surface area of a figure is the area of each figure.

This figure is composed by:

  • A circle of radius 3 yd.
  • A triangle with base 6 yd and one leg 11.4 yd.

The area of the circle is given as follows:

A = \pi r^2 = \pi \times 3^2 = 9\pi

For the triangle, we need to find it's height, which is the <u>leg of a right triangle, in which one of the sides is 3 and the hypotenuse is 11.4</u>, hence:

h² + 3² = 11.4²

h = \sqrt{11.4^2 - 3^2}

h = 11 yd.

Hence the area of the triangle is:

A = 0.5 x 6 x 11 = 33 yd²

The surface area of the figure is:

9pi + 33 yd² = 61.3 yd².

More can be learned about the surface area of at brainly.com/question/21208177

#SPJ1

6 0
2 years ago
Which are the solutions of x2 = 19x + 1?
Finger [1]

Answer:

(\frac{19-\sqrt{365}} {2},\frac{19+\sqrt{365}} {2})

Step-by-step explanation:

we have

x^2=19x+1

we know that

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-x^{2}-19x-1=0  

so

a=1\\b=-19\\c=-1

substitute in the formula

x=\frac{-(-19)\pm\sqrt{-19^{2}-4(1)(-1)}} {2(1)}

x=\frac{19\pm\sqrt{365}} {2}

x=\frac{19+\sqrt{365}} {2}

x=\frac{19-\sqrt{365}} {2}

(\frac{19-\sqrt{365}} {2},\frac{19+\sqrt{365}} {2})

therefore

StartFraction 19 minus StartRoot 365 EndRoot Over 2 EndFraction comma StartFraction 19 + StartRoot 365 EndRoot Over 2 EndFraction

6 0
3 years ago
Read 2 more answers
HELP HELP HELP HELP HELP HELP plsssssss¡!
mylen [45]

Answer:

$201.60

Step-by-step explanation:

12% of 180 = 21.6

Cost of health club = 180

180 + 21.6 = $201.60

7 0
3 years ago
Help please!!!!!!!!!!!!!!!!!!!
irakobra [83]

Answer:

1. The elephant should be given _ fl oz.

2. Every term in Pattern B is 1/4 the corresponding term in Pattern A.

3. 0.9 < 1.1

4. There are 7 tons in 14,000 pounds.

5. There are 17900 Milligrams in 17.9 grams.

Step-by-step explanation:

1. One ton is 2,000 pounds. So you would have to multiply 5.5 x 2,000.

5.5 x 2,000 = 11,000

Then you have to divide 11,000 by 250.

11,000/250 = 44

2. Every term in Pattern B is 4 times less than the term in Pattern A.

3. 0.9 is smaller than 1.1.

4. One ton is 2,000 pounds. 14,000/2,000 is 7 so this would mean that 14,000 pounds is 7 tons.

5. One gram is 1,000 milligrams, so you would have to multiply 17.9 by 1,000. This gives you 17900.

4 0
3 years ago
Pick the expression that matches this description:
Katen [24]

Option C is correct because it is a trinomial with a leading coefficient of 3 and a constant term of -5

Step-by-step explanation:

We need to pick the expression that matches this description:

A trinomial with a leading coefficient of 3 and a constant term of -5

First lets explain the terms:

Trinomial: a polynomial having 3 terms

Leading coefficient: The constant value of variable having highest power

Constant term: Having no variable and value cannot be changed.

Now using these definitions, we can choose the correct option

Option A is incorrect because the expression has 2 terms

Option B is incorrect because it is a trinomial but the leading coefficient is -5 and not 3 constant term is 3 and not -5.

Option C is correct because it is a trinomial with a leading coefficient of 3 and a constant term of -5

Option D is incorrect because it is a trinomial but the leading coefficient is 3 but constant term is 1 and not -5.

So, Option C is correct.

Keywords: Algebra

Learn more about Algebra at:

  • brainly.com/question/12700460
  • brainly.com/question/4934417

#learnwithBrainly

6 0
3 years ago
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