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kykrilka [37]
2 years ago
12

One of the tokens for a board game is a circle with a radius of 15 millimeters. Which measurement is closest to the circumferenc

e of the token in millimeters?
Mathematics
1 answer:
Ipatiy [6.2K]2 years ago
5 0

Answer:

The circumference of the circle is approximately 92 mm

Step-by-step explanation:

For us to be given the radius of the tokens it is safe for us to make the assumption that the token is circular in shape. Thus, we can solve the problem using various theories in circle geometry.

We will use the circumference equation to estimate the circumference of the circle, assuming the value of π is = 3.14

The circumference of a circle can be given as 2 X π X radius

This will be 2 X 3.142 X 15 = 94.247 ≈92mm

Therefore, the circumference of the circle is approximately 92 mm

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A baseball card that originally cost $24 has been decreasing in value
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Answer:

I believe it is four dollars

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3 years ago
Students water a plant with the same amount of water for 28 days, if the students use a total of 23.8 L of water over the 28 day
DENIUS [597]
23.8÷28=0.85
0.85 Liters

every liter is 1000 mililiters.
0.85 Liters is 850 mililiters.
7 0
3 years ago
4 Points
Vladimir [108]

Answer:

35

Step-by-step explanation:

One is given the following function (y=3x+5). The given problem asks one to find the output of the function when the input is (10). Keep in mind, a general rule for dealing with functions is that, when present, the variable (x) represents the input. Whereas the variable (y) represents the output. Thus, if one were to substitute (10) in place of (x), and simplify: the result one would get is the output. Apply this idea to the given scenario:

y=3x+5

y=3(10)+5

y=30+5

y=35

4 0
2 years ago
The distribution of a sample of the outside diameters of PVC pipes approximates a normal distribution. The mean is 14.0 inches,
lakkis [162]

Answer:

A. 13.9 and 14.1 inches

See explanation below.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the outside diameters of a population, and for this case we know the distribution for X is given by:

X \sim N(14,0.1)  

Where \mu=14 and \sigma=0.1

If we want the middle 68% of the data we need to have on the tails 16% on each one

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.84   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.16 of the area on the left and 0.84 of the area on the right it's z=-0.994. On this case P(Z<-0.994)=0.16 and P(z>-0.994)=0.84

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-0.994

And if we solve for a we got

a=14 -0.994*0.1=13.9

And since the distribution is symmetrical for the upper limit we can use z = 0.994 and we have:

z=0.994

And if we solve for a we got

a=14 +0.994*0.1=14.1

So the correct answer for this case would be:

A. 13.9 and 14.1 inches

3 0
3 years ago
Please help me with this math
motikmotik
The answer must be 2.333333333 × 10^5
3 0
2 years ago
Read 2 more answers
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