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bezimeni [28]
1 year ago
10

the phrase “is a function of” gets used in non-mathematical speech as well as mathematical mathematical speech in sentences like

, “the range of foods you like is a function of your upbringing.” what is the sentence trying to convey? is it the same use of the word “function” as the mathematical one

Mathematics
1 answer:
Tanya [424]1 year ago
4 0

Answer:

Step-by-step explanation:

This is a very interesting question. I'm going to answer no, but don't take that to mean that the question is not worthwhile. It is.

In math, function has the meaning of considering ordered pairs. Here are 4 such ordered pairs.

(1,2)

(2,4)

(1,-3)

(5,9)

They are really not related to one another except all are ordered pairs.

Here's the math definition. If one of the x values (1,2,1,5) has more than 1 y value, you do not have a function.

1 has 2 y values,  2 and -3. Therefore the 4 points do not form a function

if you change the first (1,__) to 0 and your ordered pair becomes (0,2), all is well and you do have a function.

Whether you understand this or not, you have to see that a math function and a biology function are very different. The math function has numbers and those numbers have to obey a rule.

The biology function seems to be saying that how your mom and dad brought you up will determine what foods you like.

Those two uses are very different. How your mom brought you up is related to food. It could be anything else like "Being a knife carrying gang member is a function of where you live."

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At a financial institution, a fraud detection system identifies suspicious transactions and sends them to a specialist for revie
labwork [276]

Answer:

a. E(X) = 54.4

b. E(X) = 2.5

c. P(Y=2) = .0116

Step-by-step explanation:

a.

    E(X) = np = .40 probability * 136 trials = 54.4 blocked transmissions

    To get the expected value, we simply multiply probability times number of trials. You can look at it in simple terms by thinking if there's a 50% chance of flipping heads and you flip a coin twice, in an ideal world you will have .5*2 = 1 head.

b.

    i. Let X represent the number of suspicious transmissions reviewed until finding the first blocked one. We will use a geometric distribution to model the "first" transmission. Whenever we're looking for the "first" time something happens, we use geometric.

   ii. E(X) = 1/p , according to the geometric model.

              = 1/.4 = 2.5.

       We expect that the specialist will review 2.5 suspicious transactions <em>on average </em>before finding the first transmission that will be blocked.

c.

    i. Let Y represent the exact number of blocked transmissions out of 10. We will use a binomial distribution to model the "fixed" number of transmissions. Whenever we're looking for a "fixed" number of times something happens, we use binomial.

    ii. P(Y=k) = (n choose k)(p^k)(q^n-k)

        P(Y=2) = (¹⁰₂)(.4^2)(.6^10-2)

                    = 45 (.4^2)(.6^10-2) = .0016

        As for calculator notation, the n choose k can be accessed on a TI-84 via MATH -> PRB -> nCr. It looks like 10 nCr 2 on the display.

        Hence the probability that two transactions out of ten will be blocked is .0016 by the binomial model.

5 0
2 years ago
Joel maps his house and his school on a coordinate grid where each unit is 1 block. His school is at (-7, -2). His house is at (
zhenek [66]

Answer:

10 blocks

Step-by-step explanation

check the image attached, the y coordinate of  his school and house are the same that is, -2 so all we have to do is check the distance between x coordinates

that is , -7 and 3

distance between school and his house = 3 - (-7) = 10 blocks

3 0
2 years ago
Read 2 more answers
Daniel and his children went into a grocery store and he bought $10.15 worth of apples and bananas. Each apple costs $1.75 and e
guapka [62]

Answer: Daniel bought 3 apples and 7 bananas.

Step-by-step explanation:

Let x represent the number of apples that Daniel bought.

Let y represent the number of bananas that Daniel bought.

He bought a total of 10 apples and bananas altogether. This means that

x + y = 10

Daniel and his children went into a grocery store and he bought $10.15 worth of apples and bananas. Each apple costs $1.75 and each banana costs $0.70. This means that

1.75x + 0.7y = 10.15 - - - - - - - - - - - 1

Substituting x = 10 - y into equation 1, it becomes

1.75(10 - y) + 0.7y = 10.15

17.5 - 1.75y + 0.7y = 10.15

- 1.75y + 0.7y = 10.15 - 17.5

- 1.05y = - 7.35

y = - 7.35/- 1.05

y = 7

x = 10 - y = 10 - 7

x = 3

4 0
2 years ago
Question 1(Multiple Choice Worth 1 points)
kirza4 [7]

Answer:


Step-by-step explanation:


1. 8 days

2. C?

3. A

4. B

5. C

6.D

7.48

8. A

9. 1.69%

10. False


I have no clue if these are right i tried my best to get them right, if they are wrong I am incredibly sorry!

- SavageSavvy

5 0
2 years ago
If r(x) = 3x – 1 and s(x) = 2x + 1, which expression is equivalent to (StartFraction r Over s EndFraction) (6)?
Airida [17]

Answer:

\dfrac{r}{s}(6)=\dfrac{3(6)-1}{2(6)+1}

Step-by-step explanation:

We know that for any two function f(x) and g(x) ,

\dfrac{f}{g}(x)=\dfrac{f(x)}{g(x)}

Given functions : r(x)=3x-1  and s(x)=2x+1

Then, \dfrac{r}{s}(x)=\dfrac{r(x)}{s(x)}

\Rightarrow\ \dfrac{r}{s}(x)=\dfrac{3x-1}{2x+1}

At x= 6 , we get

\dfrac{r}{s}(6)=\dfrac{3(6)-1}{2(6)+1}

The , The expression is equivalent to \dfrac{r}{s}(6)=\dfrac{3(6)-1}{2(6)+1}

When we further simplify it , we get \dfrac{r}{s}(6)=\dfrac{18-1}{12+1}=\dfrac{17}{13}

5 0
2 years ago
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