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3 years ago

Use long division to find the quotient of 405 and 27

Mathematics

1 answer:

asambeis [7]3 years ago

7 0

27|405 27*1=27
- 27 27*5=135
-------
135
-135
--------
0

Answer is 6 :v

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Select the numbers that are odd and prime. *

galina1969 [7]

Answer:

1,3,21,23,35 odd

Step-by-step explanation:

those aren't prime

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2 years ago

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

Alex can cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces?

ruslelena [56]

Answer:

61.716 seconds (62 if round up is needed)

Step-by-step explanation:

36 / 7 = 5.143

5.143 * 12 = 61.716

7 0

2 years ago

Rolling a 3 or rolling an odd number on a six sided die. Is it mutually exclusive or non-mutually exclusive? Give one reason.

Cerrena [4.2K]

Answer:

Non-mutually exclusive

Step-by-step explanation:

both events can happen simultaneously... 3 is an odd number, events A and B have a common outcome.

It would be mutually exclusive if event A was rolling a 4 and event B was rolling an odd number.

7 0

2 years ago

Read 2 more answers

7. Write the equation of a line which passes through the points (-3,5) and (6,23)

faust18 [17]

Answer:

answer to the equation is

$y = 2x + 11$

Step-by-step explanation:

$y = mx + b$

first find the slope of the line using the two points

$slope \: m = \frac{y2 - y1}{x2 - x1} = \frac{23 - 5}{6 - ( - 3)} \\ = \frac{18}{9} \\ slope \: m = 2$

substitute 2 for m and use one of the points for x and y and solve for b

$5 = 2( - 3) + b \\ 5 = - 6 + b \\ 5 + 6 = b \\ b = 11$

Now that you found b, the y-intercept, you can substitute that into the equation for your line

$y = 2x + 11$

7 0

2 years ago