2 years ago

What continues the sequence 7, 16, 8, 27, 9

Mathematics

1 answer:

GREYUIT [131]2 years ago

8 0

Answer:

7, 16, 8, 27, 9, 38, 10, 49, 11

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A student repeatedly measures the mass of an object using a mechanical balance and gets the following values: 560 g, 562 g, 556

MrRissso [65]

Answer: 2.76 g

Step-by-step explanation:

The formula to find the standard deviation:-

$\sigma=\sqrt{\dfrac{\sum(x_i-\overline{x})^2}{n}}$

The given data values : 560 g, 562 g, 556 g, 558 g, 560 g, 556 g, 559 g, 561 g, 565 g, 563 g.

Then, $\overline{x}=\dfrac{\sum_{i=1}^{10} x_i}{n}\\\\\Rightarrow\ \overline{x}=\dfrac{560+562+556+558+560+556+559+561+565+563}{10}\\\\\Rightarrow\ \overline{x}=\dfrac{5600}{10}=560$

Now, $\sum_{i=1}^{10}(x_i-\overline{x})^2=0^2+2^2+(-4)^2+(-2)^2+0^2+(-4)^2+(-1)^2+1^2+5^2+3^2\\\\\Rightarrow\ \sum_{i=1}^{10}(x_i-\overline{x})^2=76$

Then, $\sigma=\sqrt{\dfrac{76}{10}}=\sqrt{7.6}=2.76$

Hence, the standard deviation of his measurements = 2.76 g

6 0

3 years ago

For reviewing purposes

sergeinik [125]

Answer:

(25-16)/9=

=9/9=1 because 5^2 is 25 and 3^2 is 9 (5x5)/(3x3)

5 0

2 years ago

What number added to 66 is 167

denis-greek [22]

Answer:

101

Step-by-step explanation:

To figure this out, you would do 167 - 66 = 101

101 + 66 = 167

5 0

2 years ago

PLEASE HELP ME!!! Find m (angle) LMN

bagirrra123 [75]

Answer:

108°

Step-by-step explanation:

hii!

lmn would be equal to 85 plus 23.

this is because those angles both make up the big angle lmn, so the answer is 108 degrees.

hope this helped you :)

4 0

2 years ago

What is the volume of a cone with a diameter of 10 in and a height of 12 in

Radda [10]

Answer:

V = 100π

Step-by-step explanation:

The volume of a cone is V = ( $\frac{\pi r^2h}{3}$ )

1) $\frac{\pi5^212}{3}$

2) $\frac{300\pi }{3}$

3) 100π

5 0

2 years ago