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djyliett [7]
3 years ago
14

You have $25 to buy 6 fishing lures. Write and solve an inequality that represents the prices you can pay per fishing lure.

Mathematics
1 answer:
Rus_ich [418]3 years ago
6 0

We are given that we have $25 to pay for 6 fishing lures.

We can make an equality for this as follows:

Suppose price of one fishing lure is x dollars.

So we will use unitary method to find price of 6 fishing lures.

Price of 6 fishing lures = 6 * ( price of one fishing lure) = 6* x = 6x

Now we only have 25 dollars with us, so the price of 6 fishing lures has to be less than or equal to 25 dollars.

So creating an inequality,

6x\leq25

Now in order to find price for one fishing lure, we have to solve this for x.

Dividing both sides by 6 we have,

x\leq\frac{25}{6}

Converting to decimal,

x\leq4.167

Answer : The price of one fishing lure must be less than or equal to $4.167

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g (15 points) Suppose 42 out of 600 rats exposed to a potential carcinogen develop tumors. A control group of 350 rats not expos
vazorg [7]

Answer:

a) The relative risk is 1.8\overline{846153}

b) The attributable risk is 0.69 \overline{047619}

c) There is a relationship between exposure and tumor risk

Step-by-step explanation:

The number of exposed rats that develop tumors, a = 42

The number of rats exposed to the carcinogen = 600 rats

The number of exposed rats that did not develop tumors, b = 600 - 42 = 558

The number of not exposed rats in the control group = 350 rats

The number of rats that develop tumors in the control group, c = 13 tumors

The number of not exposed rats that did not develop tumors, d = 350 - 13 = 337  rats

a) The relative risk, RR = a/(a + b)/(c/(c + d))

∴ RR = (42/(42 + 558))/(13/(13 + 337)) = 49/26 = 1.8\overline{846153}

b) The attributable risk = (a - c)/a

∴ The attributable risk = (42 - 13)/42 = 0.69 \overline{047619}

c) The odds ratio = (a·b)/(c·d)

∴ The odds ratio = 42 × 558/(13 × 337) = 23439/4381 ≈ 5.35

Given that the result of attributable risk is positive, there is an indication that there is a higher probability to develop tumor when exposed to the potential carcinogen, therefore, there is a relationship between exposure and tumor risk

7 0
3 years ago
If x = 9 and y = -2 what’s 10 + 5xy
Ksenya-84 [330]

Answer:

10 + 5xy = -80

Step-by-step explanation:

10 + 5xy = ?

x = 9 and y = -2

10 + 5xy = 10 + 5(9)(-2)

             = 10 - 90

             = -80

5 0
3 years ago
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros −3 and 5
love history [14]

Answer:

<em>f(x) = x² (2+i)x-15-3i</em>

Step-by-step explanation:

Since the zeros of the equation are -3 and 5+i, hence the factors of the polynomial in x is (x+3) and (x-(5+i))

Multiplying both factors

f(x) =  (x+3)(x-(5+i))

f(x) = (x²-(5+i)x+3x -3(5+i))

f(x) = x² - (5+i- 3)x -15-3i

f(x) = x² (2+i)x-15-3i

<em>hence the required polynomial function in x is f(x) = x² (2+i)x-15-3i</em>

7 0
3 years ago
At the beginning of the year Jason had $80 in his savings account. Each month he added $15 to his account. Write in expression f
zmey [24]
So what you do is theres 12 months so multiple that by 15 and get 180 then what you do is what time 80 equals 180 and thats your answer
6 0
3 years ago
Lucy drinks 5 cups of coffee. Doctor said to cut down by 75%. How many ounces of coffee is she allowed per day?
UkoKoshka [18]
The answer is Lucy should be allowed to drink 1.25 ounces a day.
3 0
3 years ago
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