The dot plot shows a random sample of the number of fish caught and released by 30 participants during a two-day fishing derby. Two dot plots show the number of fish caught on days 1 and 2. The dot plot for day 1 has dots as follows: 3 above 1, 6 above 2, 6 above 3, 6 above 4, 6 above 6, and 3 above 6. The dot plot for day 2 has dots as follows: 3 above 1, 3 above 2, 4 above 3, 6 above 4, 7 above 5, and 7 above 6. Use the mean value of each data set to make an inference about the number of fish caught each day. On average, most participants caught and released 5 or more fish. More participants caught 6 fish than any other number. The same participants who caught and released 1 fish the first day caught and released 1 fish the second day. On average, participants caught and released more fish on Day 2.

Answer:

!. Scale factor = 5

2. Scale factor = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

scale = [tex]\frac{length in drawing}{actual length}[/tex]

1. To increase the numbers, let the scale factor be [tex]\frac{5}{1}[/tex] = 5. So that;

0.05 x 5 = 0.25

[tex]\frac{1}{2}[/tex] x 5 = 0.5 x 5 = 2.50

7 x 5 = 35.00

13 x 5 = 65.00

25 x 5 = 125.00

102 x 5 = 510.00

2. To decrease the numbers, let the scale factor be [tex]\frac{1}{5}[/tex]. So that;

0.05 x [tex]\frac{1}{5}[/tex] = 0.01

[tex]\frac{1}{2}[/tex] x [tex]\frac{1}{5}[/tex] = 0.5 x [tex]\frac{1}{5}[/tex] = 0.10

7 x [tex]\frac{1}{5}[/tex] = 1.40

13 x [tex]\frac{1}{5}[/tex] = 2.60

25 x [tex]\frac{1}{5}[/tex] = 5.00

102 x [tex]\frac{1}{5}[/tex] = 20.40

Answer:

1 1/4 feet

Step-by-step explanation:

3 1/2 feet + 2 feet = 5 1/2 - 8 = 2 1/2 ÷ 2 = 1 1/4

Answer:

Total interest paid:$6.56

Step-by-step explanation:

I used multiple loan calculators.

Answer: Cos, Cosine

Step-by-step explanation:

You can use SOH CAH TOA to help you find out whether you are using Sine, Cosine or Tangent.

SOH- The 'S' is for Sine, then the 'O' and the 'H' is for Opposite over Hypotenuse.

CAH- The 'C' is for Cosine, the 'A' and the 'H' is for Adjacent over Hypotenuse.

TOA- The 'T' is for Tangent, then the 'O' and the 'A' is for Opposite over Adjacent.

As you have the Adjacent (the side next to the angle you are looking for) and Hypotenuse (the side opposite the right angle), you would be using Cosine.

I haven't answered it because I read this as though you wanted the explanation. If you do want an answer just let me know then I can edit my answer.

Hope this helps :)

Answer

Calculator.net

i hope you use this it will help a lot

Answer:

p, the number of pizzas ordered

Step-by-step explanation:

The independent variable in the equation will be the variable that controls the cost.

Since the total cost will depend on the number of pizzas ordered, the number of pizzas ordered will be the independent variable.

The total cost is the dependent variable, since it depends on the number of pizzas.

So, the independent variable in the equation is p, the number of pizzas ordered.

Answer:

First image: (6, -1)

2nd image: y = 63

Explanation:

1)

2x + y = 11

1/2x - 5y = 8

y = -2x + 11

1/2x - 5(-2x + 11) = 8

1/2x + 10x - 55 = 8

10.5x - 55 = 8

10.5x = 63

x = 6

2x + y = 11

2(6) + y = 11

12 + y = 11

y = -1

(x , y) = (6, -1)

2)

1/4(8y - 4.8) = 2 (0.9y + 5.4) + 3/5

2y - 1.2 = 1.8y + 10.8 + 0.6

0.2y - 1.2 = 11.4

0.2y = 12.6

y = 63

Answer:

-8

Step-by-step explanation:

Its actually simple once you get the basics

Find out the difference between the first two digits given e.g 8,6: the difference is 2 so you check if it's the same difference e.g 6,4: the difference is also 2 so you keep subtracting or adding 2 as the case may be.

Answer:

Step-by-step explanation:

by phythagoras theorm

AB² + BC² = AC²

5² + BC² = 13²

25 + BC² = 169

BC² = 169 - 25

BC² = 144

BC = √144

BC = 12cm

The deer population in 5 years is approximately 294 deer.

A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay. Over time, exponential functions monitor constant growth. Examples from the actual world include radioactive decay, compound interest, and bacterial proliferation.

a. To solve the differential equation dP/dt = −0.1P, we can separate the variables and integrate:

dP/P = −0.1 dt

Integrating both sides gives:

ln|P| = −0.1t + C

where C is the constant of integration. To solve for C, we can use the initial condition that P = 495 when t = 0:

ln|495| = −0.1(0) + C

C = ln|495|

Substituting this value of C back into the equation gives:

ln|P| = −0.1t + ln|495|

Simplifying using logarithm properties, we get:

ln|P/495| = −0.1t

Exponentiating both sides gives:

|P/495| = e^−0.1t

Taking the absolute value off and multiplying both sides by 495, we get:

P = 495e^−0.1t

To find the deer population in 5 years, we can substitute t = 5 into the equation:

[tex]P = 495e^{-0.1(5)} = 294[/tex] deer (rounded to the nearest deer).

Therefore, the deer population in 5 years is approximately 294 deer.

b. To find an equation for the deer population P(t) in terms of t and k for the period after 5 years, we can use the differential equation:

dP/dt = k(650−P)

Separating the variables and integrating, we get:

∫dP/(650−P) = ∫k dt

Using partial fraction decomposition and integrating, we get:

ln|650−P| = −kt + C

where C is the constant of integration. To solve for C, we can use the initial condition that P = 294 when t = 5:

ln|650−294| = −k(5) + C

C = ln|356| + 5k

Substituting this value of C back into the equation gives:

ln|650−P| = −kt + ln|356| + 5k

Simplifying using logarithm properties, we get:

ln|(650−P)/356| = −kt

Exponentiating both sides gives:

[tex]|(650-P)/356| = e^{-kt[/tex]

Taking the absolute value off and multiplying both sides by 356, we get:

[tex]650-P = 356e^{-kt[/tex]

Solving for P gives:

[tex]P = 650-356e^{-kt[/tex]

Therefore, the equation for the deer population P(t) in terms of t and k for the period after 5 years is P = 650−356e^−kt.

c. Using the growth model from part b), if the deer population is 350 one year later, we can substitute t = 1 and P = 350 into the equation and solve for k:

350 = 650−356e^−k

Solving for [tex]e^{-k[/tex] gives:

[tex]e^{-k = (650-350)/356 = 3/2[/tex]

Taking the natural logarithm of both sides gives:

−k = ln(3/2)

Solving for k gives:

k = −ln(3/2) ≈ 0.4055

Therefore, k ≈ 0.4055.

d. Using the growth model from part b) and the value of k from part c), the long-term behavior of the deer population as t → ∞ is determined by the limit:

lim P(t) as t → ∞

We can use the fact that [tex]e^{-kt[/tex]approaches 0 as t →

Learn more about exponential growth and decay here:

https://brainly.com/question/17161065

#SPJ2

Answer:

1) x = 18 2) x = 7

Step-by-step explanation:

Edit: Decided to solve the second too! :)

1)

12/16 = x/(x+6)

12x + 72 = 16x

72 = 4x

x = 18

2)

(-4 + 4x)/64 = 27/72

-288 + 288x = 1,728

288x = 2,016

x = 7

So first you would have to find the slope using the two points and the equation: y2-y1/x2-x1, which in this case means you take 6+4/3+1, which would be a slope of 10/4 or 5/2, or 2.5. Using this, we can take a point, use point slope form, and rearrange it. So:

y-6=2.5(x-3)

y-6=2.5x-7.5

-2.5x+y=1.5

Answer:

69.89-exact

70-rounding up

Answer:

She spent $69.98

Step-by-step explanation:

49.99 + 19.99 = 69.98 because people place .99 at the end of the cost in order to try to confuse customers that they are getting a better price then they really are, this is true because since many people read left to right, they  will see the smaller number first, and they see the bigger number last, makin them believe its a better price. when at the end of a number lies a .99 it only counts as .99 not 1.00, thus this information is what helped me find my answer.

Answer:

4/5

Step-by-step explanation:

I believe this is looking for a fraction? 4 over 5 or 4/5 means 4 out of 5.

Answer:

If we are working with numbers 26m, 24m, 20m, 26m, 39m

Than the surface area of the shape would be 0.24

Work:

3.46 × 106 = 366.76

366.76 + 20 =386.76

386.76 in square meters is 0.24

Answer:

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

rectangle: 6×7=42

triangle: (4×6)÷2= 12

the whole area: 42+12=54

Answer:

a-1 would still be positive if not exactly on 0

Step-by-step explanation:

Answer:

A is positive

Step-by-step explanation:

Because a is after 0, and anything after 0 is postive. If it was negative, it would be before 0.

Answer:

am gonna need more imformation

Step-by-step explanation:

Answer:

720.8

Step-by-step explanation:

(2.6 × 106) + (4.2 × 106)

275.6 + 445.2

720.8

[tex]3\sqrt{x^2}[/tex][tex]=3x[/tex]

[tex]\sqrt[3]{x^2}[/tex][tex]=x^\frac{2}3}[/tex]

I do not know which one you mean but still one of them is still your answer. :)

Answer:

12

Step-by-step explanation:

x is the height, and we notice that this isosceles triangle is two 5-12-13 triangles put together. Therefore, x = 12

Another method. Use pythagorean theorem. x^2 + (10/2)^2 = 13^2

x^2 + 25 = 169

x^2 = 144

x = 12

Answer:

Please attach an image.

f(x) = (cost)x

Answer:

c=s*x

Step-by-step explanation:

C will be the total cost of our family's outing to the soccer game

While x will be the hours

and S will be the soccer game

So s*x will equal the cost

Making c=.

Hope this helps!

:D

Answer:

60ft

Step-by-step explanation:

multiply all the #

Answer:

x^2 + (y + 6)^2 = 4^2

Step-by-step explanation:

The general form we need here is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.

If the center is at (0, -6) and the radius is 4, then the desired equation is

(x - 0)^2 + (y + 6)^2 = 4^2, or just

x^2 + (y + 6)^2 = 4^2

Answer:

C

Step-by-step explanation: