Answer: the value of the diversity index D for the population is 0.42
Step-by-step explanation:
Given that; population of the two species are
p1 = 30% = 0.3 (snapping turtle)
p2 = 70% = 0.7 ( box turtle)
so if two (2) organisms are picked, then they can be different from each other ( i.e Event E) under following two scenarios
E1 → First organism selected from p1 and second organism selected from p2
E2 → First organism selected from p2 and second organism selected from p1
which means we are observing the different orders in which the organisms can be picked.
So the probability of event E = the sum of probabilities of events E1 and E2.
which is;
D = P(E) = P(E1) + P(E2)
= P1×P2 + P2×P1
= 2P1P2
so we substitute
D = 2 × 0.3 × 0.7
D = 0.42
Therefore the value of the diversity index D for the population is 0.42
The length of a room is 7.25 feet longer than the width, x, of the room. Which expression represents the perimeter of the room?
Answer:
P = 14.5+4x
Step-by-step explanation:
Let the width of the room is x.
Length = 7.25 feet longer than the width = 7.25 +x
We need to find an expression the represents the perimeter of the room.
Perimeter = sum of all sides
P = 2(l+b)
l is length and b is width
P = 2(7.25 +x+x)
=2(7.25 +2x)
=14.5+4x
Hence, the required expression for the perimeter is 14.5+4x.
Need help please ???????
Answer:
5pm
Step-by-step explanation:
5 x 4= 20 miles
4 x 5= 20 miles
Find the volume of this cuboid.
6 cm
8 cm
10 cm
Answer: the volume is 480 cm
Step-by-step explanation:
You find the volume of a shape by multiplying the base x width x height. In this case the height is 6 the width is 8 and the length is 10. 6x8x10= 480.
Answer:
lb×bh×hl
6×8×8×10×10×6
48×80×60
230400
Does the graph in Exercise 33 have a Hamilton path? If
so, find such a path. If it does not, give an argument to
show why no such path exist
;
Answer:
there is a graph first step to but I cannot draw it on here but you already have your answer without Step 2
Step-by-step explanation:
a simple path in a graph G that passes through every vertex exactly once is called a path . the graph G has no past because any past containing all vertices must contain one of the edges (e, c) (d, f ) and (B, G) move than once .
Isabelle is plotting a pentagon on a grid. So far, she has plotted and connected the three points shown on the grid below.
On a coordinate plane, lines connect points (negative 2, 4), (negative 3, 2), and (0, negative 2).
To complete the pentagon, she can choose only from the points below.
(2, 0), (–2, 0), (–2, 4), (2, 4)
How can Isabelle complete her pentagon?
Connect the point already at (0, –2) to a new point at (2, 0), and then connect
( 2, 0) to (–2, 4).
Connect the point already at (0, –2) to a new point at (–2, 0), and then connect ( –2, 0) to (–2, 4).
Connect the point already at (0, –2) to a new point at (–2, 0), connect ( –2, 0) to (2, 4), and then connect (2, 4) to (–2, 4).
Connect the point already at (0, –2) to a new point at (2, 0), connect
(2, 0) to (2, 4), and then connect (2, 4) to (–2, 4).
Answer:
D
Step-by-step explanation:
Connect the point already at (0, –2) to a new point at (2, 0), connect
(2, 0) to (2, 4), and then connect (2, 4) to (–2, 4).
Im pretty sure
Answer:
D
Step-by-step explanation:
Find z if the standard normal curve area between – z and z is 0.4530.
Answer:
Step-by-step explanation:
Hi,
1) Find z if the standard normal curve area between -z and z is 0.4530.
Y1 = normalcdf(-x,x,0,1) - .4530 and x = .60226
a. ± 0.118
b. ± 0.398
c. ± 0.602 <==ANSWER
d. ± 0.752
2) If a random variable has the normal distribution with μ = 104.3 and σ = 5.7, find the probability that the value will be greater than 112.3
normalcdf(112.3, 500, 104.3, 5.7) = .08023
a. 0.08 <==ANSWER
b. 0.09
c. 0.10
d. 0.11
3) Determine a 90% confidence interval for μ if σ = 5, \bar{x} = 70, and n = 82. Answer interval rounded to two decimal places.
70 ± 1.645 (5/√82) or 69.09 to 70.91 <==ANSWER
I hope that helps!! :-)
Length of the major axis: 4 Length of the minor axis: 2 Foci are on the y-axis with center (0,0)
Answer:
x²/4 + y²/16 = 1
Step-by-step explanation:
Foci on the y axis: major axis parallel to y axis
x²/b² + y²/a² = 1
x²/4 + y²/16 = 1
The required equation of an ellipse is given by x²/4 + y²/16 = 1
Given that,
Length of the major axis: 4 Length of the minor axis: 2 Foci are on the y-axis with center (0,0), the equation of the ellipse is to be determined.0
Ellipse is defined as the cross-section of the cone when cutting it with a plane parallel to its base.
Here,
Standard equation of the ellipse with origin as the center,
x²/a² + y²/b² = 1
where a and b are the minor and major axis of the ellipse.
From the given, we have a = 2 and b = 4
So the equation of the ellipse,
x²/4 + y²/16 = 1
Thus, the required equation of an ellipse is given by x²/4 + y²/16 = 1.
Learn more about the conic section here:
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A pizzeria charges $2 per slice of pizza, plus an additional $0.75 per topping. If
Erica has at most $12.50 to spend on her pizza, how
many toppings could she get
on ONE slice of pizza? Write an inequality expression that represents the
situation and solve! Explain your reasoning (no work, no points)! You can
copy/paste the following symbols as needed: 2s<>
Your answer
Answer:
Maximum amount of toppings is 14 inequality is t <=14
Step-by-step explanation:
let t be the amount of toppings on the pizza
0.75t + 2 <= 12.50
0.75t <= 10.50
t <= 14
What is the area of the figure to the nearest hundredth 14m and 4 m
Answer: I believe its 56
Step-by-step explanation:
GUYS PLS HELP 25 POINTS + BRAINLIEST IF CORRECT ANSWER
Answer:
B) 50º
Step-by-step explanation:
first we need to find angle MPL. to do this we do 180 - 70 - 60 = 50º. angle KPN is the smae as angle MPL. so angle KPN is 50º.
Answer:
C
Step-by-step explanation:
your answer is C because when you solve the answer question you get 60 degrees .What I did to get the answer is that I solve each solution answer and that is how I got 60 degrees
Hope this helps:)
Pls mark brainlist
3 There are 5 times as many boys as girls in a school.
Together the school has 810 pupils.
How many boys are there?
Answer:
Number of boys = 675
Step-by-step explanation:
Given that:
There are 5 times as many boys as girls in a school.
Number of pupils in school = 810
Let,
x be the number of girls
y be the number of boys
According to given statement;
x+y=810 Eqn 1
y = 5x Eqn 2
Putting y=5x in the Eqn 1
x+5x=810
6x=810
Dividing both sides by 6
[tex]\frac{6x}{6}=\frac{810}{6}\\x=135[/tex]
Putting x=135 in Eqn 2
y = 5(135)
y = 675
Hence,
Number of boys = 675
Jug A holds 1800ml Jug B hold 3/10 more. How much does jug B hold?
Answer:
Jug B can hold 2340 ml.
Step-by-step explanation:
Given
The amount in Jug A = 1800ml
To determine
How much does jug B hold?
Give that the Jug B holds 3/10 more, i.e.
[tex]\frac{3}{10}\times \:1800=540[/tex]
Thus,
The total amount in Jug B = 540+1800
= 2340 ml
Therefore, Jug B can hold 2340 ml.
Answer:
get into it
Step-by-step explana tion:
Evaluate the expression P(6,1)
Answer:
p(6,3)=120
Step-by-step explanation:
In the pic is how to do it
The value of the permutation expression P(6, 1) will be 6.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
Evaluate the expression P(6, 1).
We know that the formula for the permutation is given as,
ⁿPₓ = n! / (n - x)!
From the above, the value of n is 6 and the value of x is 1. Then we have
⁶P₁ = 6! / (6 - 1)!
⁶P₁ = 6! / 5!
⁶P₁ = 6 x 5! / 5!
⁶P₁ = 6
The value of the permutation expression P(6, 1) will be 6.
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
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On Friday and Saturday, there were a total of 200 cars in a parking lot. On Friday, there were 120
m the lot. What percent of the total number of cars were in the parking lot on Saturday?
Answer:
0.4
Step-by-step explanation:
What is the solution to the system? x + y = 4 x+y=1
Given :
x + y = 4x + y = 1To Find :
The value of x and y.Answer :
x + y = 4 ....[Equation (i)]x + y = 1......[Equation (ii)]Adding eqⁿ (ii) and eqⁿ (i) we get :
→ x + y + x - y = 4 + 1
→ 2x = 5
→ x = 5/2
→ x = 2.5
Now, put the value of x = 5/2 in eqⁿ (i) we get :
→ x + y = 4
→ 5/2 + y = 4
→ y = 4 - 5/2
→ y = 1.5
What is 1 infinity plus 1 infinity equal.
Answer:
infinity
Step-by-step explanation:
lol
SOMEONE PLEASE PLEASE HELP ME
Answer:
taking cos
co62=b/h
cos 62=x/12
0.46947x12=x
so, x = 5.633
rounding off
x= 6
Answer:
x = 6.0
Step-by-step explanation:
Formula For Cos: cos (angle°) = adjacent/hypotenuse
Angle = 62
Adjacent = x
Hypotenuse = 12
cos (angle) = adjacent/hypotenuse
cos (62) = x/12
0.67350716232 = x/12
0.67 = x/12 (Rounded to make further calculations simpler)
12(x/12) = 12(0.67)
x = 8.04
x = 6.0 (Rounded to nearest tenth)
Therefore, x = 6.0
Hope this helped! <3
Hello! :)
Please help me solve this + explain your answer :)
I will indeed give you Brainlst <3
Answer: the triangles are congruent
Step-by-step explanation: if u add up all the angles u get 180 so all angles are congruent
8.In a box, there are 8 orange, 7 blue, and 6 red balls. One ball is selected randomly. What is the probability that it is neither orange nor red
Answer: then its blue, 1/3
Step-by-step explanation: in a box there are 8 red, 7 blue and 6 green balls. one ball is picked up randomly. what is the probability that it is neither red nor green?
---
I guess the ball was blue.
P(blue) = 7/21 = 1/3
Find the value of N
9 : 10 = 54 : N
Answer:
I think Value of N is 60
Step-by-step explanation:
because 9 ×6 =54
therefore, 10×6=60
hope its correct and hope ti helps..
2) LaChina spherical glass decorative balls that she is filling with blue liquid to match the color of
her room. If there is 4,000 cubic inches of liquid to be poured into 20 glass spheres, what is the
diameter of each sphere? Round to two decimal.
Answer:
8000
Step-by-step explanation:
which expression is equivalent to 15+8x+3+2x
Answer:
10x + 18
Step-by-step explanation:
First, we need to add like terms. Like terms are terms that are alike. For instance 8x and 2x are like terms. 15 and 3 are also like terms.
So, we have to add 8x plus 2x and 15 plus 3. That’s comes out to 10x plus 18.
Therefore, this expression is equivalent to 10x + 18.
What are the names of these polygons?
Answer:
1)Quidrilateral
2)Pentagon
Please help me if u know
Can somebody help me thank you.
Is the given value a solution of the inequality?
Answer:
I don't think so
Step-by-step explanation:
if the s has to be more than or equal to then s would have to equal 8 or more
Someone please help me
Answer:
1. X: 0, -3
2. Y: 1, -1
3. Z: 4, -4
4. M: -4, 1
5. N: -2, 2
6. P: 2, 4
7. Q: 2, 0
8. R: -3, -1
Answer:
1. (0,-3)
2. (1,-1)
3. (4,-4)
4. (-4,1)
5. (-2,2)
6. (2,4)
7. (2,0)
8. (-3,-1)
9-17: first photo
18a: second photo
18b. A pentagon. When you connect the points, the shape has 5 sides
Step-by-step explanation:
20 to the power of 3 divided by 2
Answer:
4000
Step-by-step explanation:
20 to the power of 3 is 8000 and 8000/2 is 4000
Find the scale factor of PQRS to JKLM and the values of w, x, and y.
The scale factor of PQRS to JKLM is 4/5 and the values of w, x and y are 20, 12.5 and 20 respectively.
What is Scale Drawing?A scale drawing is a drawing made by enlarging or reducing the size of the original object.
The factor by which the drawing is enlarged or reduced is called the scale factor.
Given two quadrilaterals PQRS and JKLM.
Since the shape is similar, the angles are equal and thus are similar figures.
The corresponding sides of two similar figures are proportional.
Scale factor of PQRS to JKLM = QR / KL = 12 / 15 = 4/5
Using the proportional rule for similar figures,
KL / QR = LM /RS = MJ / SP = JK / PQ
15 / 12 = x / 10 = y / 16 = 25 / w
Scale factor = 15/12 = 5/4
Consider 15 / 12 = x / 10.
12x = 150
x = 12.5
Consider 15 / 12 = y / 16
12y = 15 × 16
y = 20
Consider 15 / 12 = 25 / w
15w = 12 × 25
w = 20
Hence the option d is the correct answer.
Learn more about Scale Factor here :
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how many 3/2s are in 5
Answer:
15 fifths
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
3/2 is equal to 1.5 and 3 1.5s can fit in 5 equaling 4.5