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pogonyaev
3 years ago
12

The distance between major cracks in a highway follows an exponential distribution with a mean of four miles. (a) what is the st

andard deviation of the distance between two major cracks
Mathematics
1 answer:
Lesechka [4]3 years ago
7 0
For an exponential distribution, the standard deviation is equal to the mean.

(a) the standard deviation is 4 miles.
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If x = 3 is a zero of the polynomial function f(x) = 2x3 + x2 − 25x + 12, which of the following is another zero of f(x)?a. x =
FromTheMoon [43]

Answer:

b) x=-4 is another zero of the polynomial

Step-by-step explanation:

Since you are given a set of options to choose from, a very simple way to find the zero of the polynomial is by simply plugging each  value from the options and seeing which of them gives the answer 0.

f(x) = 2x^3+x^2-25x+12\\

Using all the options:

a)\,f(-3) = 2(-3)^3+(-3)^2-25(-3)+12\\f(-3) = 42\\\\b)\,f(4) = 2(4)^3+(4)^2-25(4)+12\\f(4) = 56\\\\c)\,f(-4) = 2(-4)^3+(-4)^2-25(-4)+12\\f(-4) = 0\\\\d)\,f(12) = 2(12)^3+(12)^2-25(12)+12\\f(12) = 3312

Now we know that at x = -4 the value of the polynomial f(x) is 0. hence

b) x=-4 is another zero of the polynomial

7 0
3 years ago
Audrey's father gave her 20 tokens to use at Action
rjkz [21]

Answer:

5 tokens

Step-by-step explanation:

<u><em>She spent 1 out of every 4 tokens,</em></u> meaning there are a couple of sets of 4 that we don't know many they are yet that she kept taking from every set 1 token, so if we do,

(Her total tokens) 20 ÷ 4 = 5.
This means that there's 5 sets, then we take 1 from every set so 1 × 5 = 5, that's it

I don't know if that was quite clear tho you can imagine it in a more virtual than mathematical way if you like,

Now Imagine you have 20 tokens in your hand, and you divide them into 5 sets, each set is a set of 4, you keep 3 in your hand then put 1 on a table, then you do this 5 times you'll end up with 5 tokens on the table and 15 in your hand.

<em>You can try that yourself if you want it to be more clear.</em>

Take 20 small pieces of paper, sticky notes or coins whatever you like, then divide them into sets of 4, then lastly take only 1 from each set (and by the way you'll notice that dividing each set into a set of 4 will make you automatically end up with 5 sets) now count all the 1's you collected from each set
they should be 5.

8 0
2 years ago
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scZoUnD [109]

Answer:

The Answer is 0.04

Step-by-step explanation:

6 0
2 years ago
Relate the value of the numbers 1 in 115,093,628
MAXImum [283]

100,000,000 is 100 million

10,000,000 is 10 milllion

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3 years ago
What is the circumference?
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Answer: the circumference is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure.

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