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olya-2409 [2.1K]
3 years ago
11

Part of the population of 4,750 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 12

of them are infected. How many elk are likely to be infected? Based on the sample, there will likely be infected elk in the wildlife preserve.
Mathematics
1 answer:
Lilit [14]3 years ago
7 0

Answer:

876

Step-by-step explanation:

7689686896

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A salesperson is paid a flat rate plus a fixed percentage of her sales. Last month, she sold $16,000 worth of goods and was paid
Feliz [49]

Answer:

<em>She will be paid $1,350</em>

Step-by-step explanation:

<u>Linear Modeling</u>

Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

y=mx+b, where m and b are constants.

The payments for a salesperson will be linearly modeled. There are two known points: When the sales were $16,000, the payment was $1,600. This makes the point (16,000;1,600).

We also know when the sales were $12,000, the payment was $1,400. The point is (12,000;1,400)

Let's use the points to find the values of m and b.

Using (16,000;1,600):

1,600=m*16,000+b

Using (12,000;1,400):

1,400=m*12,000+b

Subtracting both equations:

200=16,000m-12,000m

200=4,000m

Solving:

m=200/4,000=0.05

Using the first equation and the value of m:

1,600=0.05*16,000+b

1,600=800+b

Solving:

b=800

The equation is now complete:

y=0.05x+800

She sold $11,000 this month, so the payment is:

y=0.05\cdot 11,000+800

Y=550+800=1,350

She will be paid $1,350

3 0
3 years ago
3. The diagonal of a rectangular field is 169 m. Ifthe ratio of the length to the width is 12:5, find the: (a) (b) dimensions; p
Kazeer [188]

The dimensions of the rectangle are length 156 m and a width of 65m, and a perimeter P = 442m

<h3>How to find the dimensions of the rectangle?</h3>

For a rectangle of length L and width W, the diagonal is:

D = \sqrt{L^2 + W^2}

Here we know that the diagonal is 169m.

And the ratio of the length to the width is 12:5

This means that:

W = (5/12)*L

Replacing all that in the diagonal equation:

169 = \sqrt{((5/12)^2*L^2 + L^2} \\\\169^2 = (25/144)*L^2 + L^2 = ( 25/144 + 1)*L^2\\\\\frac{169}{\sqrt{25/144 + 1} } = L = 156

So the length is 156 meters, and the width is:

W = (5/12)*156 m = 65m

Finally, the perimeter is:

P = 2*(L + W) = 2*(156 m + 65m) = 442m

If you want to learn more about rectangles:

brainly.com/question/17297081

#SPJ1

8 0
2 years ago
Simplify this expression: 13 + (–12) – (–5) = ? <br> A. –30<br> B. –6<br> C. 6<br> D. 30
anygoal [31]
13+(-12) - (-5) \\ \\ 13 - 12 + 5 \\ \\ 6 \\ \\ Answer: \fbox {C) 6}
4 0
3 years ago
Read 2 more answers
-4x = 16<br><br> a -64<br><br><br><br><br> b 4<br><br><br><br><br> c 20<br><br><br><br><br> d-4
cricket20 [7]

-4× = 16 answer: -4

Step-by-step explanation:

-4 × -4 = 16

4 0
3 years ago
I need help on this question
Pie

Answer:

(f-g)(4) = 10

Step-by-step explanation:

(f-g)(x) = f(x) - g(x)

= 1/2 x^2 - 1/4 x + 4 - 1/2 x + 1

= 1/2 x^2 - 1/4 x - 1/2 x + 4 + 1

= 1/2 x^2 - 3/4 x + 5

(f-g)(4)

= 1/2 (4)^2 - 3/4 (4) + 5

= 1/2 * 16 - 3 + 5

= 8 - 3 + 5

= 5 + 5

= 10

4 0
2 years ago
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