Given : A random sample of five Galaxy 8 smartphones is selected from the production line after final assembly, and the result of the weight control measurement is (in grams) are :

X= 155.1, 154.8, 155.5, 155.3, and 154.6.

here, n=5

The average weight : $\overline{x}=\dfrac{\sum^{i=5}_{i=1}x_i}{n}$

$=\dfrac{155.1+154.8+155.5+155.3+154.6}{5}\\\\=\dfrac{775.3}{5}=155.06$

∴ Average weight ( $\overline{x}$ )=155.06 grams

Uncertainty = Standard deviation: $\sigma=\sqrt{\dfrac{\sum^{i=5}_{i=1}(x_i-\overline{x})^2}{n}}$

$=\sqrt{\dfrac{(0.04)^2+(-0.26)^2+(0.44)^2+(0.24)^2+(-0.46)^2}{5}}$

$=\sqrt{\dfrac{0.532}{5}}=\sqrt{0.1064}=0.326190128606\approx0.33$

i.e. Its uncertainty : $\sigma=0.33$

The fractional uncertainty = $\dfrac{\sigma}{\overline{x}}$

$=\dfrac{0.33}{155.06}=0.00212820843544\approx0.002$

7 0

4 years ago

Find four rational number between 1/4 and 2/3.

olya-2409 [2.1K]

Answer:

4/12, 5/12, 6/12, 7/12

Step-by-step explanation:

1/4 x 3/3 = 3/12

2/3 x 4/4 = 8/12

between 3/12 and 8/12

4/12, 5/12, 6/12, 7/12

you can simplify these if you wish

Hope that helped!!! k

6 0

3 years ago

The expression 2y + 2.6 is equal to ? for y=6.5

Delvig [45]

Answer:

15.6

Step-by-step explanation:

2(6.5)+2.6

13+2.6

15.6

8 0

3 years ago

Read 2 more answers

9x−4=−1 how do i show my work for this?

AnnZ [28]

Answer:

x = 1/3

Step-by-step explanation:

9x - 4 = -1

9x = -1 + 4

9x = 3

8 0

3 years ago