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Fofino [41]
3 years ago
9

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=πr^{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

#SPJ4

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

4 0
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.

3 0
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:

6 0
3 years ago
"Write an equation for a slope of -7 and a y-intercept of -15"<br> Can someone plss help mee !?
Blizzard [7]
Y=-7x-15

The formula to write the equation is

Y=mx+b

m=slope
m=-7

b=y intercept
b=-15
8 0
3 years ago
Find the slope please help!
Ierofanga [76]

Answer:

-3/4

Step-by-step explanation:

Get the coordinates of the two points and use the slope formula to find the slope.

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

Point A's coordinates are (-3,1) and point B's coordinates are (1,-2)

Now, plug the numbers into the slope formula

Slope formula is: y2-y1/x2-x1

-2-1/1--3

-3/4

7 0
3 years ago
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