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3 years ago

102,119,107,113,110, x; mean 114

Mathematics

1 answer:

Rom4ik [11]3 years ago

6 0

Answer:

x = 133

Step-by-step explanation:

First, determine what total sum would be needed for the mean to be 114. Do this by multiplying 114 by 6 (bc total number of values in data set includes the variable <em>x</em>).

114 x 6 = 684

Next, add the five known values to get a sum of 551.

Now, just: 684 - 551 = 133

For the mean to be 114, x must equal 133.

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A cylindrical pain can has a diameter of 12 centimeters and height of centimetrs which is closest to the volume of the paint can

Karolina [17]

The volume of the cylinder having diameter 12 cm and height of 4 cm is 452 $cm^{3}$ .

Given diameter of cylinder be 12 cm and height of cylinder be 4cm.

We are required to find the volume of cylinder.

Volume is the quantity of substance a container can hold in its capacity.

Diameter=12 cm

Radius=6 cm (Radius is always equal to half of diameter)

Volume of cylinder=π $r^{2} h$

We have to just put the values of r, h and π in the formula to get the volume of the cylinder.

Volume=π $(6)^{2} 4$

=3.14*4*36

=452.57 $cm^{3}$

After rounding off we will get 452 $cm^{3}$ .

Hence the volume of cylinder is 452 $cm^{3}$ .

Learn more about volume at brainly.com/question/463363

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Question is incomplete as it should include height of cylinder be 4cm.

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2 years ago

If caffeine reduces by about 10% per hour, how many hours h does it take for the amount of caffeine in a body to

Mila [183]

Answer:

7 hours

Step-by-step explanation:

Since, the final amount of caffeine formula would be,

$A=P(1-r)^t$

Where,

P = Initial value,

r = rate per period,

t = number of periods,

Here, r = 10% = 0.10, t = h, A = $\frac{P}{2}$

$\frac{P}{2}=P(1-0.10)^h$

$\frac{1}{2}=(0.90)^h$

Taking log both sides,

$log 0.5 = log 0.90^h$

$log 0.5 = h log 0.90$

$\implies h = \frac{log 0.5}{log 0.9}=6.57881347896\approx 7$

Hence, after 7 hours the amount of caffeine in a body to reduce by half.

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3 years ago

I DONT HAVE A COMPASS SO I NEED HELP. PLEASE AND THANK YOU!

Fiesta28 [93]

Answer:

The figure is rotated 180 degrees. Also we don't use "compasses" in math.

Step-by-step explanation:

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3 years ago

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Y=-7x-15

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3 years ago

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Ierofanga [76]

Answer:

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Step-by-step explanation:

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We'll call the points point A and point B.

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3 years ago