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3 years ago

8

Find the value of x I’d appreciate if you could explain as well if not that’s fine

1 answer:

Kipish [7]3 years ago

7 0

All the angles in a circle equal to 360 degrees. So basically just add up all the known values: 23+23+15=61 and then subtract that from 360: 360-61=299.

You can also do 23+23+15+x=360. Adding it all becomes 61+x=360, subtract 61 from both sides of the equation, and you get x=299.

(Something to help remember is that the angle is obtuse, meaning it’s automatically more than 90 degrees, hope this helps!)

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Answer:

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Step-by-step explanation:

-60 divided by 24 is 2.5

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3 years ago

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3 years ago

(Hypothetical.) Suppose five measurements of the volume of a liquid yield the following data (in milliliters).

Digiron [165]

Answer:

The 95% confidence interval for the measurements is [48.106, 53.494].

Step-by-step explanation:

The average M of this sample is

$M=\dfrac{1}{5}\sum_{i=1}^5x_i=\dfrac{1}{5}(52+48+49+52+53)\\\\\\M=\dfrac{254}{5}=50.800$

The standard deviation s of this sample is

$s=\sqrt{\dfrac{1}{(n-1)}\sum_{i=1}^5(x_i-M)^2}$

$s=\sqrt{\dfrac{1}{4}\cdot [(52-50.8)^2+(48-50.8)^2+(49-50.8)^2+(52-50.8)^2+(53-50.8)^2]}$

$s=\sqrt{\dfrac{1}{4}\cdot [(1.44)+(7.84)+(3.24)+(1.44)+(4.84)]}=\sqrt{\dfrac{18.8}{4}}=\sqrt{4.7}\\\\\\s=2.168$

The degrees of freedom are

$df=n-1=5-1=4$

Then, the critical value of t for a 95% CI and 4 degrees of freedom is t=2.776.

The margin of error of the CI is:

$E=t\cdot s/\sqrt{n}=2.776\cdot 2.17/\sqrt{5}=6.024/2.236=2.694$

Then, the lower and upper bounds of the CI are:

$LL=50.800-2.694=48.106\\\\UL=50.800+2.694=53.494$

The 95% confidence interval for the measurements is [48.106, 53.494].

4 0

4 years ago

Work out the volume of a cuboid <br> 10cm by 3cm by 2cm?

Firlakuza [10]

10 x 3 x 2 = the volume
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it is cm^3 because all of the numbers you have are in cm

8 0

4 years ago

Which expressions are equivalent to 2(2x + 4y + x − 2y)?

Sholpan [36]

Answer:

B

Step-by-step explanation:

2(x+2y)=2x+4y

2x+4y

So option B is the correct answer

6 0

3 years ago

Read 2 more answers