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
Given the figure below , find the values of x and z .
Answer:
6x+36=11x-9
11x-6x=36+9
5x=45
X=45
now,
45+Z=180
Z=180-45
Therefore,Z=135
6x+36=11x-9
or,11x-6x=36+9
or,5x=44
:X=35
We know that,
45+Z=180
or,Z=180-45
:Z=135
What is the equation of the line that has a slope of 1/3 and goes through the point (6, -2)?
Answer:
y=1/3x-4
Step-by-step explanation:
plug this equation into Desmos, a graphing calculator site, and the point and you can see it goes right through it! i hope this helped!
Wich quadrilaterals always have consecutive angles that are supplementary
Answer:
PARALLELOGRAMS (rectangles, squares, and rhombi): 1) Opposite sides of a parallelogram are congruent. 2) Opposite angles of a parallelogram are congruent. 3) Consecutive angles in a parallelogram are supplementary.
Step-by-step explanation:
The quadrilaterals which have supplementary consecutive angles are called; Parallelogram.
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
The quadrilaterals which have supplementary consecutive angles are called Parallelogram.
A parallelogram is a kind of quadrilateral which has two parallel sides on each opposite sides which are equal and the opposite angles in a parallelogram are also equal.
The consecutive angles of a parallelogram are supplementary refers that the sum of the consecutive angles in a parallelogram is equal to 180 degrees. The total sum of all the angles in a parallelogram is 360 degrees as it is a quadrilateral.
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I have475 pounds of Apples to make1000 apple tarts how many pounds of apples are in each tart
Answer:
2.2 lbs
Step-by-step explanation:
1000/475
What is the area of a circle if it has a diameter of 14 units
Answer:
143.94 is the area of the circle
In ΔSTU, t = 21 cm, s = 30 cm and ∠S=26°. Find all possible values of ∠T, to the nearest degree.
Answer:
18 degrees
Step-by-step explanation:
Answer:
fat
Step-by-step explanation:
yo mamo so fat when she jumps to the pool she sends the water to mars
I neeed help with middle school math
Answer:
22/5*8/3
176/15
yep that's it
I think..
A quality control inspector has drawn a sample of 19 light bulbs from a recent production lot. If the number of defective bulbs is 1 or less, the lot passes inspection. Suppose 30% of the bulbs in the lot are defective. What is the probability that the lot will pass inspection
Answer:
0.0016283
Step-by-step explanation:
Given that:
Proportion of defective bulbs, p = 30% = 0.3
Sample size, n = 19 bulbs
Probability that the lot will pass inspection :
P(none of the 19 is defective) Or P(only one of the 19 is defective)
P(none of the 19 is defective) = (1 - p) ^n = (1 - 0.3)^19 ; 0.7^19
0.7^19 = 0.0011398
P(only one of the 19 is defective) :
P(1 defective) * P(18 not defective )
(0.3) * (1 - 0.3)^18
0.3 * 0.7^18
0.3 * 0.001628413597910449 = 0.0004885
Hence,
P(none of the 19 is defective) + P(only one of the 19 is defective)
0.0011398 + 0.0004885) = 0.0016283
Find the volume of the following figure
Answer:
there is no picture?
Step-by-step explanation:
In art class, David painted an image of a bowl of fruit. For the oranges, he mixed 2 ounces of
white paint and 4 ounces of orange paint. For the peaches, he mixed 3 ounces of white paint
and 5 ounces of orange paint. Which type of fruit was a lighter shade of orange?
Answer: the peaches were a lighter shade of orange
8th Grade Math Midterm
Help please, it’s due today
Answer:
X = 37
Step-by-step explanation:
A triangles angles add up to 180. You have two of the three. You can do
x + 45 + 98 = 180
then simplify
x + 143 = 180
subtract 143 from both sides
x = 37
Markers were placed at altitudes of 10 and 15 feet below sea level Enter the integer that represents the altitude closer to sea level
Answer:
43
neeed...20...charetors
The integer that represents the altitude closer to sea level is 10.
What is addition?Addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value. A numerical expression is algebraic information stated in the form of numbers and variables that are unknown.
We are informed that Markers were placed at altitudes of 10 and 15 feet below sea level
Then we need to find the integer that represents the altitude closer to sea level.
We can say that 10 is negative (below the sea level), and 10 is 10 spaces away from zero on the number line, meaning the answer could be |10|.
The sea level would be 0 and the 10 would be -10 and the 15 will be -15
Hence, the 10 is closer to the sea level.
Thus the integer that represents the altitude closer to sea level is 10,
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Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Irene's car had 6.2 gallons in the 15-gallon tank on the coldest day of the year. Irene filled the tank with gas that cost $3.50 per gallon. How much did Irene spend on gas?
Answer:
She spend $21,70 on gas
Step-by-step explanation:
6.350=2100
$21,00 for 6 gallons
350:10=35
0,35
035.2=070
0,70
2100+70=2170
Which statement is true of normally distributed data?
A.
Approximately 90% of data falls within 2 standard deviations (±2) of the mean.
B.
Approximately 90% of data falls within 3 standard deviations of (±3) the mean.
C.
Approximately 95% of data falls within 2 standard deviations (±2) of the mean.
D.
Approximately 95% of data falls within 3 standard deviations (±3) of the mean.
Please explain and no answering just for points.
C
have a nice day!!!!!!!!!!!!!!!!!!!!!!!
Approximately 95% of data falls within 2 standard deviations (±2) of the mean. Option D is correct.
What is a normal distribution?A normal distribution is a type of continuous probability distribution for a real-valued random variable such that the values are symmetric about a mean and the curve has bell shape.
Standard deviation is the measure of the randomness of the distribution. The curve has its peak at the mean.
As standard deviation increases, the peak of the curve comes lower and the distribution becomes more and more dispersed.
In a normal distribution 68% of the values falls within 1 standard deviation
and 95% of the values falls within two standard deviations. 99% of the values falls within three standard deviations.
Hence, approximately 95% of data falls within 2 standard deviations (±2) of the mean.
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if w is the cube root of unity
(x-wy+w^2z)/(y+wz+w^2z)
only correct ans allowed wrong ans will be reported
Answer:
are you sure
Step-by-step explanation:
bro i am trying to answer your question
2) If the bill is $100 and the tax rate is 10%, then the sales tax is how much
money? *
$ 20.00
$ 25.00
$ 10.00
$ 5.00
3) If the bill is $45.12 and the tax rate is 13%, then the sales tax is how much
Simplify the following monomials pls
Answer:
1.) [tex]a^4b[/tex]
2.) [tex]p^3q^4[/tex]
3.) [tex]2n^4[/tex][tex]2n^4[/tex]
4.) [tex]5xy^2z[/tex]
5.) [tex]2a^3b^5[/tex]
I hope this helps:
Totally blanking on how medians work
===============================================
The three medians of this triangle are:
PFREQDThese segments go from one vertex to the midpoint of the opposite side.
The median we'll focus on is PF.
The point C is the centroid of the triangle. It's where the three medians intersect. It turns out that C divides PF such that CF is twice as long as PC
In other words,
CF = 2*PC
This means,
PF = PC+CF .... segment addition postulate
PF = PC+2*PC ... replace CF with 2*PC
PF = 3*PC .... combine like terms
So the median PF is three times the length of its portion PC
We're told that PF = 24
We can then find the following:
PF = 3*PC
24 = 3*PC
3*PC = 24
PC = 24/3
PC = 8
Then we double this to get the length of CF
CF = 2*PC
CF = 2*8
CF = 16
This is the same as FC because the order of the endpoints don't matter when it comes to naming a segment.
The final answer is 16.
Express 7.000,000,000 in scientific notation
Answer: 7 × 10^9
Step-by-step explanation:
10 to the 9th power is 1,000,000,000
7 x 1,000,000,000 = 7,000,000,000
Hope that helped!
Answer:
7x10*9
Step-by-step explanation:
Three robots ran the same distance. The first robot ran 150 meters per minute.
The second robot ran 150 meters per minute faster than the first robot and 120
meters per minute faster than the third robot. The winner finished 2 minutes
before the robot that finished in second place. What distance (in meters) did the
robots run?
Answer:
900 meters.
Step-by-step explanation:
Trust me. Russian School Of Math answer :)
Sketch a graph that shows the
relationship between grams of honey and
grams of salt needed for a bakery recipe.
Show on the graph how much honey is
needed for 70 grams of salt.
salt
honey
flour
(c)
10
14
4
25
35
10
1 Add file
There is a lower limit but no upper limit for a random variable that follows the _____ probability distribution.
a. normal
b. uniform
c. binomial
d. exponential
Answer:
d.exponential is answer
Step-by-step explanation:
I hope it's helpful!
Which of the following is a divisor of 12! · 6! + 12! + 6! + 1?
A. 21
B. 77
C. 91
D. 115
E. 143
Hint : Use Wilson's Theorem[tex].[/tex]
Answer:
C. 91Step-by-step explanation:
Rewriting the given as factors:
12! · 6! + 12! + 6! + 1 =12!(6! + 1) + (6! + 1) =(12! + 1)(6! + 1) =((13 - 1)! + 1)((7 - 1)! + 1)As per Wilson's theorem, if n is prime number, (n - 1)! + 1 is divisible by n
As per above, 13 and 7 are both prime numbers, so the expression is divisible by both 7 and 13:
7*13 = 91So correct choice is C
What is the sum (2/5x + 5/8) + (1/5x - 1/4)? a. 3/5 x + 1/8 b. 3/5 x + 3/8 c. 3/5x + 5/8 d. 3/5x + 7/8
Answer:
3/5x + 3/8
Step-by-step explanation:
2/5x + 5/8 + 1/5x - 1/4
1. Combine like terms so now u have
3/5x + 3/8
In case you want to know how I got 3/8
You want a common denominator so
from 5/8 + 1/4, make both denominator 8
so 1 *2/ 4* 2
so now you converted the 1/4 to 2/8
So then 5/8 - 2/8 gives u 3/8 and that's how i got 3/8
Hope this helped!
Answer:
3/5x + 3/8
Step-by-step explanation:
How high is a tree that casts a 35-ft shadow at the same time a 8-ft post casts a shadow which is 9-ft long
Answer:
it depend on which angle is the sun is
Step-by-step explanation:
Answer:
It would be approximately 40 ft, but the precise answer is 39.375 ft. Hope that helped!
Step-by-step explanation:
Figure A is a scale image of Figure B. 6 12 Figure A 9 x Figure B What is the value of x?
Answer:
18
Step-by-step explanation:
6 is twice less than 12
X=9*2=18
5x - 4y = -8 x + 4y F-16
The product of the slopes of parallel lines is 1
Sometimes, never, or always
Answer:
Sometimes
Step-by-step explanation:
this is for literal equations
A=4 πr2 (r2)
i think you solve for r2
Answer:
[tex]r^2=\dfrac{A}{4\pi}[/tex]
Step-by-step explanation:
The given equation is A=4 πr².
We need to solve the above equation for r².
We have,
A=4πr²
Dividing both sides by 4π, we get :
[tex]\dfrac{A}{4\pi}=\dfrac{4\pi r^2}{4\pi}\\\\r^2=\dfrac{A}{4\pi}[/tex]
Hence, the value of r² is equal to [tex]\dfrac{A}{4\pi}[/tex].
