How do you write 5.36 × 105 in standard form?

A sample of 5 buttons is randomly selected and the following diameters are measured in inches. Give a point estimate for the pop

Helen [10]

Answer:

$s^2 = \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}$

But we need to calculate the mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_I}{n}$

And replacing we got:

$\bar X = \frac{ 1.04+1.00+1.13+1.08+1.11}{5}= 1.072$

And for the sample variance we have:

$s^2 = \frac{(1.04-1.072)^2 +(1.00-1.072)^2 +(1.13-1.072)^2 +(1.08-1.072)^2 +(1.11-1.072)^2}{5-1}= 0.00277\ approx 0.003$

And thi is the best estimator for the population variance since is an unbiased estimator od the population variance $\sigma^2$

$E(s^2) = \sigma^2$

Step-by-step explanation:

For this case we have the following data:

1.04,1.00,1.13,1.08,1.11

And in order to estimate the population variance we can use the sample variance formula:

$s^2 = \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}$

But we need to calculate the mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_I}{n}$

And replacing we got:

$\bar X = \frac{ 1.04+1.00+1.13+1.08+1.11}{5}= 1.072$

And for the sample variance we have:

$s^2 = \frac{(1.04-1.072)^2 +(1.00-1.072)^2 +(1.13-1.072)^2 +(1.08-1.072)^2 +(1.11-1.072)^2}{5-1}= 0.00277\ approx 0.003$

And thi is the best estimator for the population variance since is an unbiased estimator od the population variance $\sigma^2$

$E(s^2) = \sigma^2$

3 0

2 years ago

Step 3: Construct an angle and a perpendicular bisector.

Yuliya22 [10]

Answer:

huh

Step-by-step explanation:

5 0

1 year ago

Please help! :)

Volgvan

Answer:

So the correct option is First one

i.e $\dfrac{9\pi}{A}=\dfrac{90}{360}$

Step-by-step explanation:

Given:

Area of Shaded part = 9 π square feet

To Find :

Area of Circle = ?

Solution:

90 degree center angle is equivalent to an area of 9 Π square feet

So, 360 degree center is equivalent to area A which is the area of the complete circle.

So the Ratio will be

$\dfrac{90}{9\pi} =\dfrac{360}{A}$

Setting the given statements in proportion:

$\dfrac{90}{9\pi} =\dfrac{360}{A}$

On solving we get the required

$\dfrac{9\pi}{A} =\dfrac{90}{360}$

So the correct option is First one

i.e $\dfrac{9\pi}{A}=\dfrac{90}{360}$

Alternate Method:

Shaded part is of 90°

Area of Shaded part = 9 π square feet

And Full Circle is of 360° that is 4 sector of 90°

$\textrm{Area of Circle}=4\times (Shaded\ part)$

$\textrm{Area of Circle}=4\times 9\pi$

$\textrm{Area of Circle}=36\pi$

So the correct option is First one

i.e $\dfrac{9\pi}{A}=\dfrac{90}{360}$

On solving this we get

$A=36\pi\ feet^{2}$

8 0

2 years ago

Please help. Sine and Cosine rules

kodGreya [7K]

Answer:

a=41.8 BC=2.8

Step-by-step explanation:

sin30/6=sinx/8

8*sin30=6sinx

4=6sinx

sin^-1(4/6)

angle a

cosine rule

bc^2=3^2 +5^2-2(3)(5)*cos30

BC^2= $\sqrt8.019237886\\$

BC=2.83

2.8

3 0

2 years ago

Which table represents a direct variation? Table A x 4 6 8 10 y 7 9 11 13 Table B x 4 6 8 10 y 12 18 24 30 Table C x 4 6 8 10 y

Alja [10]

Answer:

Table B

Step-by-step explanation: skidaddle skidoodle you probably know the rest 8)

4 0

2 years ago

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