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Sergeeva-Olga [200]
3 years ago
6

A random sample of 10 shipments of stick-on labels showed the following order sizes.10,520 56,910 52,454 17,902 25,914 56,607 21

,861 25,039 25,983 46,929PictureClick here for the Excel Data File(a) Construct a 95 percent confidence interval for the true mean order size. (Round your answers to the nearest whole number.) The 95 percent confidence interval to
Mathematics
1 answer:
sammy [17]3 years ago
7 0

Answer:

Confidence Interval: (21596,46428)

Step-by-step explanation:

We are given the following data set:

10520, 56910, 52454, 17902, 25914, 56607, 21861, 25039, 25983, 46929

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{340119}{10} = 34011.9

Sum of squares of differences = 551869365.6 + 524322983.6 + 340111052.4 + 259528878 + 65575984.41 + 510538544 + 147644370.8 + 80512934.41 + 64463235.21 + 166851472.4 = 2711418821

S.D = \sqrt{\frac{2711418821}{9}} = 17357.09

Confidence interval:

\mu \pm t_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

t_{critical}\text{ at degree of freedom 9 and}~\alpha_{0.05} = \pm 2.2621

34011.9 \pm 2.2621(\frac{17357.09}{\sqrt{10}} ) = 34011.9 \pm 12416.20 = (21595.7,46428.1) \approx (21596,46428)

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3x + 4y = 14 x = 2y - 12 cordanit plane
BabaBlast [244]

Answer:

(- 2, 5 )

Step-by-step explanation:

Given the 2 equations

3x + 4y = 14 → (1)

x = 2y - 12 → (2)

Substitute x = 2y - 12 into (1)

3(2y - 12) + 4y = 14 ← distribute and simplify left side

6y - 36 + 4y = 14

10y - 36 = 14 ( add 36 to both sides )

10y = 50 ( divide both sides by 10 )

y = 5

Substitute y = 5 into (2) for corresponding value of x

x = 2(5) - 12 = 10 - 12 = - 2

Solution is (- 2, 5 )

8 0
3 years ago
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geniusboy [140]

Answer:

The series of transformations that moves pentagon FGHIJ onto pentagon F'G'H'I'J' is;

C. Translation, translation

Step-by-step explanation:

The coordinates of points in pentagon FGHIJ are F(-2, 0), G(-1, 3), H(-2, 4), I(-5, 4), J(-4, 1)

The coordinates of points in pentagon F'G'H'I'J' are F'(2, 1), G'(3, 4), H'(2, 5), I(-1, 5), J(0, 2)

Therefore the series of transformations that moves pentagon FGHIJ onto pentagon F'G'H'I'J' are;

1) A horizontal translation 4 units to the right and

2) A vertical translation 1 unit up

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8 0
2 years ago
What is the degree of polynomial?<br>With example!​
Inessa [10]

Answer:

\boxed{\mathfrak{Question ~}}

What is the degree of polynomial?

\large\boxed{\mathfrak{Answer}}

The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients.

Example:

{6x}^{4}  +  {2x}^{3}  + 3

4x The Degree is 1 (a variable without an

exponent actually has an exponent of 1)

More Examples:

4x^ − x + 3 The Degree is 3 (largest exponent of x)

x^2 + 2x^5 − x The Degree is 5 (largest exponent of x)

z^2 − z + 3 The Degree is 2 (largest exponent of z)

A constant polynomials (P(x) = c) has no variables. Since there is no exponent to a variable, therefore the degree is 0.

3 is a polynomial of degree 0.

3 0
2 years ago
Read 2 more answers
Can you solve this problem please im having trouble with this question ​
Degger [83]

Answer:

The answer is 3.7

Step-by-step explanation:

Use cross multiplication to set up the equation then simplify,

17y = 63

  y = 63/17

  y = 3.705

Round to the nearest tenth.

Solution is y = 3.07

Good luck!

3 0
2 years ago
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Henry's patio is in the shape of a rectangle. He said the perimeter of the patio is 48 feet . He knows that one side is 9 feet w
ss7ja [257]

Answer:

2 sides of the patio are 9ft and another 2 sides are 15ft

Step-by-step explanation:

To solve this problem we have to know thata rectangle has 4 sides and 2 of them are equal to each other

This is the formula to calculate perimeter

p = perimeter 48 ft

a = side a = 9 ft

b = side b

p = 2a + 2b

we replace the known values

48ft = 2*9ft + 2b

48ft = 18ft + 2b

48ft - 18ft = 2b

30 / 2 = b

15 = b

2 sides of the patio are 9ft and another 2 sides are 15ft

8 0
3 years ago
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