To find out how many rabbits were in a park students tagged 10 rabbits. They later came back to the park and counted 200 total rabbits and 5 of them were tagged. Using this information, what is the best estimate for the total number of rabbits in the park? Can someone help explain this? Not just answer it but actually explain the reasoning?
Answer:
400
Step-by-step explanation:
The assumption behind mark-recapture methods is that the proportion of marked individuals recaptured in the second sample represents the proportion of marked individuals in the population as a whole. In algebraic terms, This method is called the Lincoln-Peterson Index of population size.
"Find an equation for the family of linear functions with slope 4. (Use the standard coordinate variables x and y. You may use m for the slope and b for the y-intercept as needed.)"
Answer:
Y= 4x +y1-4x1
4 represent the slope m
+Y1 - 4x1 represent the intercept b
Step-by-step explanation:
Formula for the equation of the linear function
(Y-y1)/(x-x1) = m
We will transform it into the equation form
Y= mx + b
Where m = slope=4
b = intercept
(Y-y1)/(x-x1) = m
(Y-y1)/(x-x1) = 4
(Y-y1)= 4(x-x1)
Y-y1= 4x -4x1
Y= 4x +y1-4x1
4 represent the slope m
+Y1 - 4x1 represent the intercept b
An equation for the family of linear functions with slope 4 is; y = 4x +b
Equation of a straight lineThe equation of a line can be determined by means of the slope as follows;
slope,m = (y-y1)/(x-x1)Therefore, for this scenario;
Slope,m = 4 = (y-y1)/(x-x1)By Cross-product, we have;
4x - 4x1 = y -y1Since, the y-intercept, b is the value of y for which x= 0.
Hence;
4x - 0 = y-by = 4x +bRead more on slope-intercept form;
https://brainly.com/question/1884491
Evaluate. 5^3−(6/48)+10^2 Enter your answer in the box. 100 POINTS!!! PLEASE HELP
Answer:
= 1799 or 224.875
8
Step-by-step explanation:
5³ − (6/48) + 10²
= 125 - (0.125) + 100
= 224.875
or
5³ − (6/48) + 10²
= 125 - 1/8 + 100
= -1/8 + 225
= (225 * 8)/8 - 1/8
= (225 * 8-1) / 8
= 1799 or 224.875
8
Answer:
[tex]\huge \boxed{\frac{1799}{8} }[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]\displaystyle 5^3-(\frac{6}{48} )+10^2[/tex]
Solving for exponents:
[tex]\displaystyle 125-(\frac{6}{48} )+100[/tex]
Adding or subtracting:
[tex]\displaystyle -(\frac{1}{8} )+100+125[/tex]
[tex]\displaystyle -(\frac{1}{8} )+225[/tex]
[tex]\displaystyle -(\frac{1}{8} )+\frac{1800}{8}[/tex]
[tex]\Rightarrow \ \displaystyle \frac{1799}{8}[/tex]
[tex]\rule[225]{225}{2}[/tex]
100 points, Please help ASAP. Answer correctly thanks
Answer:
[tex]\Huge \boxed{\mathrm{7. \ C}} \\\\ \\ \Huge \boxed{\mathrm{8. \ B}} \\\\\\ \Huge \boxed{\mathrm{9. \ D}} \\\\\\ \Huge \boxed{\mathrm{10. \ D}} \\\\\\ \Huge \boxed{\mathrm{11. \ A}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
7.The Commutative Property of Addition changes the order of the numbers but does not affect the sum.
8.We will convert the values into decimals for simplicity.
[tex]\sqrt{7} \approx 2.65[/tex]
[tex]\sqrt{3} \approx 1.73[/tex]
[tex]\displaystyle \frac{-1}{3} \approx -0.33[/tex]
Arranging from least to greatest:
[tex]\displaystyle -2.3, \ \frac{-1}{3} , \ \sqrt{3} , \ \sqrt{7} , \ 5.1[/tex]
9.2 + ( -8 )
2 is on the number line.
When -8 is added to 2, the value decreases, and it moves 8 units to the left side.
The result is -6.
(image)
10.The two subsets of real numbers are rational and irrational numbers.
[tex]\sqrt{13}[/tex] is an irrational number.
11.[tex]\displaystyle \frac{12x-8}{4}[/tex]
[tex]\displaystyle \frac{12x}{4}-\frac{8}{4}[/tex]
[tex]3x-2[/tex]
[tex]\rule[225]{225}{2}[/tex]
Identify the sequence graphed below and the average rate of change from n = 1 to n = 3. coordinate plane showing the point 2, 8, point 3, 4, point 4, 2, and point 5, 1. an = 8(one half)n − 2; average rate of change is −6 an = 10(one half)n − 2; average rate of change is 6 an = 8(one half)n − 2; average rate of change is 6 an = 10(one half)n − 2; average rate of change is −6
Answer:
2
Step-by-step explanation:
Answer:
An= 8 x (1/2)^(n-2) and the average rate of change is 6
Step-by-step explanation:
find the area of the triangle given a = 24, b=40, and C= 55°. Round your answer to the nearest tenth.
Answer: 393.2 units²
Step-by-step explanation:
Since you know the length of two sides and the measure of the included angle, you can use the following trig formula:
[tex]A=\dfrac{1}{2}ab \sin C[/tex]
Given: a = 24, b = 40, C = 55°
[tex]A=\dfrac{1}{2}(24)(40) \sin 55^o\\\\.\quad =480\sin 55^o\\\\.\quad =393.2[/tex]
Answer:
[tex]\huge \boxed{\mathrm{393.2 \ units^2 }}[/tex]
Step-by-step explanation:
We can solve for the area of the triangle when two sides are given and the angle in between the two sides.
[tex]\displaystyle A=\mathrm{\frac{1}{2}ab \cdot sinC }[/tex]
[tex]\displaystyle A=\mathrm{\frac{1}{2} \cdot 24 \cdot 40 \cdot sin55 }[/tex]
[tex]\displaystyle A=\mathrm{480 \cdot sin55 }[/tex]
[tex]\displaystyle A=\mathrm{393.19298125...}[/tex]
The area of the triangle is 393.2 units².
1) Check whether the value given in the bracket is a solution to the given equation
or not.
a) x + 7=12 ( x=5)
b) 2x-3-10 (x=7).
Answer:
yes and no
Step-by-step explanation:
Substitute the given values for x into the equationand if the value obtained is equal to the right side then it is a solution.
(a)
x + 7 = 5 + 7 = 12 ← True , thus x = 5 is a solution
(b)
2x - 3 = 2(7) - 3 = 14 - 3 = 11 ≠ 10, thus x = 7 is not a solution
Based on your observations from Question 1, what is the relationship between AE and BF when DFB and CEA measure something other
than 90°? In this situation, what is the relationship between
AB
and CD ? Explain.
Answer:
if angle dfb and angle cea measure something other than 90degrees, then line we is not equal to line bf. in this case, line and and line cd intersect at a single point.
The nonnegative function given below is a probability density function.
{3/7 e^−3t/7 if t ≥ 0
0 if t < 0
(a) Find P(0 ≤ t ≤ 2).
(b) Find E(t).
Answer:
a) 0.5756
b) 2.3333
Step-by-step explanation:
A) for p ( 0 ≤ t ≤ 2)
= 1 - [tex]e^\frac{6}{7}[/tex] = 0.5756
B) for E(t)
= 7/3 = 2.3333
attached below is the remaining part of the solution
Divide the following numbers. 4,084 / 1,016
The answer is 4 while rounding. If you need the exact answer, it is 4.019685039370
Tom needs to rent tables for his family reunion. There will be 105 people attending. Each table seats 8
people. how many tables does Tom need to rent?
O 14
12
10
18
16
Answer:
tom needs to rend 14 tables
A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that the angle of elevation to the top of the mountain is 32 ∘ . From a point 2000 feet closer to the mountain along the plain, they find that the angle of elevation is 34 ∘ . How high (in feet) is the mountain?
Answer: 3528.25
Step-by-step explanation:Make a sideview sketch
you should have 2 triangles, one right-angled containing the height and a scalene triangle with angles 24° , 153° (the supplement of 27°) and 3°
the side opposite the 3° angle is 1000
by let the side opposite the 24° be x, (also the hypotenuse of the right-angled triangle)
x/sin24 = 1000/sin3
x = 1000sin24/sin3
let the height of the mountain be h
sin 27 = h/x
h = x sin27 = (1000sin24/sin3)(sin27)
= 3528.25
If 5(x-4)+2= -173 what is the value of x?
Answer:
38.2
Step-by-step explanation:
5 (x-4) + 2 = 173
=> 5x - 20 + 2 = 173
=> 5x - 18 = 173
=> 5x - 18 + 18 = 173 + 18
=> 5x = 191
=> 5x/5 = 191/5
=> x = 38.2
So, x is 38.2
9w-4w+6<1+5w supposed to combine like terms
Answer/Step-by-step explanation:
Given:
[tex] 9w - 4w + 6 [/tex] < [tex] 1 + 5w [/tex]
To solve, collect like terms.
Subtract 5w from both sides
[tex] 9w - 4w + 6 - 5w [/tex] < [tex] 1 + 5w - 5w [/tex]
[tex] 9w - 4w - 5w + 6 [/tex] < [tex] 1 [/tex]
[tex] 6 [/tex] < [tex] 1 [/tex] (incorrect)
The inequality given has no solution or an information is missing.
How do I solve this question? Rayne sold 3 desks at a local trade show. he payed $4.00 to rent the booth. he gave half of his revenue to the carpenter and was left with $185.50. at what price did Rayne sell each desk
Answer:
$125
Step-by-step explanation:
I suspect there's an error in the problem statement. Revenue is the money made from selling the desks. Profit is the revenue from the desks minus the cost of the booth rental.
If Rayne gives half of his profit to the carpenter, and x is the price per desk, then:
185.50 = ½ (3x − 4)
371 = 3x − 4
375 = 3x
x = 125
how to graph slope 7/3 and y-intercept (x,y) (0,-11)
Start at (0,-11) and move up 7 on the y axis and over 3 on the x axis and you’ll have your line
In a statistics class the following 10 scores were randomly selected:
74, 73, 76, 77, 71, 68, 65, 77, 67, 66.
What is the mode?
a. 77.0.
b. 68.0.
c. 72.0.
d. 66.0.
Answer:
A. 77
Step-by-step explanation:
The mode of a data set is the value that appears the most number of times.
Here, we see that all the values appear once, except for 77, which appears twice:
74, 73, 76, 77, 71, 68, 65, 77, 67, 66
Thus, the answer is A, 77.
~ an aesthetics lover
Answer:
The answer is A.
Step-by-step explanation:
Mode is the value that occurs most frequently in a group.
So in this group, 77 appears the most.
a triangle with a base of 9 meters has an altitude of 12 meters.which would give the area of the triangle
Answer:
54 [tex]m^2[/tex]
Step-by-step explanation:
To find the area of a triangle use the formula a = 1/2bh
The altitude is the same as height so we can substitute 12 for h and 9 for b
Now the equation will become
a = 1/2 · 9 · 12
When you multiply it, it become 108/2 = a simplified to a = 54
Jada applies two transformations to a polygon in the coordinate plane. One of the transformations is a translation and the other is a
reflection. What information does Jada need to provide to communicate the transformations she has used to get from the first figure to
the last?
Answer:
The answer is below
Step-by-step explanation:
A transformation is the movement of a point from its initial position to a new position. If an object is transformed, all its points are also transformed. Types of transformation are reflection, translation, reflection and dilation.
When the polygon is translated and reflected, for the translation, Jada needs to provide the distance and direction of the vertical movement (up or down) and the distance and direction of the horizontal movement (left or right) ehile for the reflection, Jada needs to provide the line of reflection so as to know which transformation is applied.
Answer:
the original figure before a transformation has been performed.
Step-by-step explanation:
plz pick me brainliest
And angle measures 58 degrees what is the measurement of a supplements
Answer:
122 degrees
Step-by-step explanation:
180-58=122
Match the expression with its name. 7x4 – 5x + 4
Answer:
4th-degree trinomial
Step-by-step explanation:
The question is missing it's root sign; it should be 7x^4-5x+4
What is
[tex]7.842 \div 2.35[/tex]
please show how you got the answer
Write a triple integral including limits of integration that gives the volume of the cap of the solid sphere x2+y2+z2≤34 cut off by the plane z=5 and restricted to the first octant. (In your integral, use theta, rho, and phi for θ, rho and ϕ, as needed.) What coordinates are you using? (Enter cartesian, cylindrical, or spherical.) With a= , b= , c= , d= , e= , and f= , Volume = ∫ba∫dc∫fe
Answer:
a = 0
b = [tex]\frac{\pi }{4}[/tex]
c = 0
d = 3
e = 5
f = [tex]\sqrt{34-r^2}[/tex]
Step-by-step explanation:
Equation of the solid sphere = x^2 + y^2 + z^2 ≤ 34 ------- (1)
at Z = 5
since the bottom of the sphere(z) is flat = 5 we will use cylindrical coordinates
concentrating in the first octant as mentioned in the question
at Z = 5 , equation 1 becomes :
x^2 + y^2 + 25 ≤ 34 = x^2 + y^2 = 9
hence the radius around the xy axis = [tex]\sqrt{9}[/tex] = 3
that means the radius is : 0 ≤ r ≤ 4 , 0 ≤ ∅ ≤ [tex]\frac{\pi }{4}[/tex]
next we have to find the upper bound of: Z = ±[tex]\sqrt{34-r^2}[/tex] we will pick out only the positive
5 ≤ z ≤ [tex]\sqrt{34 - r^2}[/tex]
therefore for the Volume = ∫ba∫dc∫fe
a = 0
b = [tex]\frac{\pi }{4}[/tex]
c = 0
d = 3
e = 5
f = [tex]\sqrt{34-r^2}[/tex]
Convert 10/9into a mixed number
Answer: 1 1/9.
Step-by-step explanation: Divide the numerator by the denominator. Write the whole number answer. Make a fraction from the remainder and the original denominator. To get back to an improper fractions, add the whole number to the numerator.
Write the decimal as a fraction in simplest form. 0.008
Answer:
1 / 125
Step-by-step explanation:
Since there are 3 digits after the decimal point, we know that our denominator will be 10³ = 1000. Since the only non-zero digit after the decimal point is 8, we know that the numerator is 8. Therefore, the answer is 8 / 1000 = 1 / 125.
Please help me with the question below
Answer:
4
Step-by-step explanation:
If Judge is x years old and Eden is 6 years older, then Eden is x + 6 years old.
The second part tells us that Eden will be twice as old as Judge in two years.
This means that in two years: (Eden's age) = 2 * (Judge's age).
Since we know that Eden's age can be represented as x + 6 and Judge's age can be represented as x, we can write this: x + 6 = 2 * x
Simplify the equation:
x + 6 = 2x
6 = x = Judge's age (in two years)
If Judge is 6 two years later, then he must be 4 now.
To check our work, we can just look at the problem. Judge is 4 years old and Eden is 6 years older than Judge (that means Eden is 10 right now). Two years later, Eden is 12 and Judge is 6, so Eden is twice as old as Judge. The answer is correct.
Simplify the equation -4d - 37 = 7d + 18
Answer:
d=-5
Step-by-step explanation:
-4d-37=7d +18
move the terms to its correct side
-4d-7d=18+37
calculate the like terms together.
-11d=55
divide both sides by -11. both of the negavtive (-11) will cancel out and become d on the left and on the right 55 will be divided by -11 = -5. the 5 is negative because there's a negative -11 if there were a postive 11 it will be 5 instead of D=-5
Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate?
Monthly Temperatures:
a. 61(degrees)F,
b. 66(degrees)F,
c. 71(degrees)F,
d. 76(degrees)F,
e. 81 (degrees)F
Answer:
Interval Data
Step-by-step explanation:
Interval data are classified as such because they have a definite ordering and the differences between data sets can be determined and measured. This is applied in the measurement of temperature readings.
The data provided in the example can be ordered from lowest to highest and vice versa and the differences between the temperature ranges can be measured. For example, the difference between 76 degrees fahrenheit and 71 degrees fahrenheit is 5 degrees fahrenheit. However, comparisons in the form of ratios are not done with the temperature readings in the interval scale.
If an angle’s measure is 90° then it is said to be a ______angle?
Answer:
Right Angle
Step-by-step explanation:
Its a Right angle because if you see a square box on a 90 degree measurement then its a right angle.
Answer:
[tex]\boxed{\bold{\huge{\boxed{Right}}}}[/tex]
Step-by-step explanation:
If an angle’s measure is 90° then it is said to be a Right angle.
Name the ray that is opposite AD?
Answer:
I think it's AB
Step-by-step explanation:
Since its the opposite of AD