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2 years ago

Show work and show answer as a mixed number for 6x+11-16x=-21

Mathematics

1 answer:

kondaur [170]2 years ago

4 0

6x + 11 - 16x = -21
6x-16x = -32
-10x = -32
x = -32/-10
x = 3.2

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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

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3 years ago

Which graph contains the points of intersection

timama [110]

Answer:

graph A

Step-by-step explanation:

if you use the substitution method is graph A

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3 years ago

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Answer:just start at 7 and go out 2 up 1

Step-by-step explanation:

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2 years ago

The youth group is going on a trip to the State Fair trip cost 63 dollars included in that price is 13 dollars for a concert tic

Marina CMI [18]

Answer:

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Step-by-step explanation:

Call the cost of one of the passes, P. So we have

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So the cost of one pass = $25

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1 year ago

Which expression is equivalent to one over threep + 15? one over three(p + 45) one over three(p + 5) 3(p + 45) 3(p + 5)

elena-s [515]

Answer:

$\large\boxed{\dfrac{1}{3p+15}=\dfrac{1}{3(p+5)}}$

Step-by-step explanation:

"one over threep + 15":

$\dfrac{1}{3p+15}=\dfrac{1}{(3)(p)+(3)(5)}=\dfrac{1}{(3)(p+5)}=\dfrac{1}{3(p+5)}$

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3 years ago

Read 2 more answers