Answer:
0.1402
Step-by-step explanation:
For each baby elk, there are only two possible outcomes. Either they survive adulthood, or they do not survive. The probability of an elk surviving adulthood is independent of other elks. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood.
This means that [tex]p = 0.44[/tex]
Suppose researchers choose 7 baby elk at random to monitor.
This means that [tex]n = 7[/tex]
What is the probability that more than 4 elk in the sample to survive to adulthood?
This is:
[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{7,5}.(0.44)^{5}.(0.56)^{2} = 0.1086[/tex]
[tex]P(X = 6) = C_{7,6}.(0.44)^{6}.(0.56)^{1} = 0.0284[/tex]
[tex]P(X = 7) = C_{7,7}.(0.44)^{7}.(0.56)^{0} = 0.0032[/tex]
[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) = 0.1086 + 0.0284 + 0.0032 = 0.1402[/tex]
0.1402 probability that more than 4 elk in the sample to survive to adulthood.
Using the concept of binomial probability, the probability that more than 4 survive is 0.1402
Using the binomial probability formula :
[tex] P(x = x) = nCx \times p^{x} \times q^{(n-x)} [/tex] p = probability of success = 0.44q = 1 - p = 1 - 0.44 = 0.56 n = number of trials = 7The probability that more than 4 survive can be defined thus :
[tex] P(x > 4) = p(x = 5) + p(x = 6) + p(x = 7) [/tex]Using a binomial probability calculator :
[tex] P(x > 4) = 0.1086 + 0.0284 + 0.0032 [/tex]
[tex] P(x > 4) = 0.1402 [/tex]
Hence, the probability that more than 4 survive is 0.1402
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For 22 days out of the month, Brian rides his bike 16 miles a day. About how many miles does Brian ride in one month? Solve the problem and explain how you estimated the product.
Solve for all possible values of x. Show all work.
X + 2
2x - 1
3x
Answer:
a) x+2=0
x= -2
b) 2x-1=0
2x=1
x= 1/2
c) 3x=0
x= 0/3
x=0
please help asap!!!!!!!!!
Answer:
Z=25
Step-by-step explanation:
Angle C and D are Supplementary so
3z-15+7z-55=180
10z-70=180
10z=250
z=25
-5x + y = 56 and x + y = -4
Help me with this thx <3
Select all of the following tables which represent y as a function of x.
Answer:
the second and third one
Step-by-step explanation:
two y's that are the same can't have 2 outcomes
PLEASE HELP I WILL GIVE BRAINLIST I’m stressing out because I don’t get it, thank you!
Answer:
LINE B OR D
Step-by-step explanation:
i hope i could help... not 100%!! <3
Find the value of the expression whenx=1, y=-1,z =0a)5y –y b) 3x² +2y + 3z² c) 2y² -3xyz
Answer:
a) 4
b) 1
c)2
Step-by-step explanation:
a) 5y - y
= 5 - 1
=4
b) 3×1×1 + 2×1 + 3×0×0
= 3 - 2 + 0
1
c) 2×1×1 - 3×1×1×0
= 2 - 0
= 2
From number 2 and 3, The baker sends al his bread to one store if he can pack up to 15 loaves of bread in a box for shipping what is the minimum number of box’s required to ship all the loaves baked in two weeks
Answer:
Get smart and stay safe :D
slope of the line (-3,-6) and (4,1)
Answer:
- 5 / 7
Step-by-step explanation:
1 - 6 = - 5
4 - - 3 = 7
please help asap!!!!!!!
Answer:
c = 20
Step-by-step explanation:
Given that,
A rectangle PQRS,
QT = c and ST = 4c-60
We need to find the value of c.
We know that the diagonals of a rectangle bisect each other such that,
QT = ST
Putting values,
c = 4c - 60
Taking like terms together,
60 = 4c - c
60 = 3c
c = 20
Hence, the value of c is 20.
Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 2 kg more than Peter. Together the three of them picked 26 kg of chestnuts. How many kilograms did each of them pick?
Answer and Step-by-step explanation: Let \displaystyle xx be the amount Peter picked. Then Mary and Lucy picked \displaystyle 2x2x and \displaystyle x+2x+2, respectively. So
\displaystyle x+2x+x+2=26x+2x+x+2=26
\displaystyle 4x=244x=24
\displaystyle x=6x=6
Therefore, Peter, Mary, and Lucy picked 6, 12, and 8 kg, respectively.
Peter picked 6 kilograms of chestnuts.
Mary picked 12 kilograms of chestnuts.
Lucy picked 8 kilograms of chestnuts.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Let Peter pick x kilograms of chestnuts.
Given that Mary picked twice as many chestnuts as Peter
So, Mary picks 2x kilograms of chestnuts.
And Lucy picks x + 2 kilograms of chestnuts
Together the three of them picked 26 kg of chestnuts
So, x + 2x + x + 2 = 26
4x + 2= 26
4x= 26-2
4x= 24
4x/4= 24/4
x= 6
Thus, Peter picked 6 kilograms of chestnuts.
⇒ 2x
⇒ 2 (6)
⇒ 12
Thus, Mary picked 12 kilograms of chestnuts.
⇒ x + 2
⇒ 6 + 2
⇒ 8
Thus, Lucy picked 8 kilograms of chestnuts.
Learn more about Arithmetic operations here:
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Kim has a new job. She decided to follow this savings plan: Month Dollars
1 - 65
2 - 72
3 -79
4 - 86
5 93
6 -100
7 - ?
Step-by-step explanation:
For every month increase by 1, the amount of dollars increase by 7. (from 65 to 72, 72 to 79, 79 to 86 etc.)
Hence at Month 7, there will be 100 + 7 = 107 dollars.
Answer:
107 dollors
Step-by-step explanation:
For every month, It increase 7 dollars, So it would be 107 bdollors
of 30 students, 1/3 play sports. Of those who play sports, 2/5 play soccer.
How many students play soccer?
A. 4
B.12
C.5
D.10
PLEASE HELP
solve using the order of operations 5 x (2+4) -52
Answer:
-22
Step-by-step explanation:
Order of Operations:
Parenthesis
Exponents
Multiplication and Division
Addition and Subtraction
First, you need to do parenthesis first so inside the parenthesis is 2+4 which is 6
Now the equation looks like this:
5 x 6-52
Since there are no exponents we can skip that step, next is multiplication so 5 x 6 is 30 so the equation now looks like this:
30-52
Subtract and you will have
-22
Hope this helps!
Q +2.02=9.2 q equals
Answer:
Q=7.18
Step-by-step explanation:
9.2-2.02=7.18
Answer:
7.18
Step-by-step explanation:
subtract 2.02 from 9.2
What is the approximate length of the missing side in the triangle below?
13.9 mi.
19.0 mi.
21.3 mi
25.4 mi
Answer:
[tex]21.3\:\mathrm{mi}[/tex]
Step-by-step explanation:
The Law of Cosines is given as the following:
[tex]c^2=a^2+b^2-2ab\cos C[/tex].
Plugging in given values and solving, we get:
[tex]c^2=15^2+18^2-2\cdot 15\cdot 18\cdot \cos 80^{\circ},\\c\approx \fbox{$21.3\:\mathrm{mi}$}[/tex]
Answer:
C: 21.3
Step-by-step explanation:
b = √a2 + c2 - 2ac·cos(B) = 21.33612
(m−3+4n)⋅(−8) What is the answer
Answer:
The correct answer is,
[tex] - 8m + 24 - 32n[/tex]
A cash register contains $10 bills and $50 bills with a total value of $1080. If there are 28 bills total, then how many of each does the register contain?
Answer:
20 $50 bills
8 $10 bills
Step-by-step explanation:
Find how many $10 and $50 bills are in the cash register.
Make a systems of equations:
t = Amount of $10 bills
f = Amount of $50 bills
10t + 50f = 1080
t + f = 28
Lets solve for $50 bills first:
10t + 50f = 1080
-10(t + f = 28) = -10t - 10f = -280
----------------------
Solve for f:
10t + 50f = 1080
-10t - 10f = -280
40f = 800
Divide both sides by 40.
f = 20
There are 20 $50 bills.
Now we need to find how many $10 bills are in the register.
Plug in 20 to "f" in one of the equations and solve for "t".
Solve:
t + 20 = 28
Subtract 20 from both sides.
t = 8
There are 8 $10 bills.
Your answer should be:
20 $50 bills
8 $10 bills
There are 15 pieces of fruit in a bowl and 3 of them are apples. What percentage of the
pieces of fruit in the bowl are apples?
a.
3%
c.
20%
b.
15%
d.
40%
Work Space
Answer:
c. 20%
Step-by-step explanation:
3/15=1/5
1 divided by 5 = .2
Move decimal point 2 times to get percent.
20%
Subtract 2w + 4 from 3w + 6 please help!!
Answer:
w+10
Step-by-step explanation:
3w+6-2w+4=w+10
Answer:
Step-by-step explanation:
x subtracted from y means y-x
2w+4 subtracted from 3w+6= (3w+6)-(2w+4)
don't forgett to diestribute invisible -1
-(2w+4)=-1(2w+4)=-2w-4
so
3w+6-2w-4=
3w-2w+6-4=
1w+2=
w+2
Write an equation in the first box (use x as your variable). Then, solve (in second box).
Answer: 3.2x = 48
Step-by-step explanation: So that means x = 15.
Add 3 5/12+2 5/9. Simplify the answer and write as a mixed number.
Answer:
5 35/36
Step-by-step explanation:
add the whole number: 3+2= 5
add the fractions: 5/12 = 5/9= 35/36
add the whole number and fraction
5 35/36 so x= 5 35/36
The best bike in a bike shop
sells for $400. The cheapest
bike sells for $50. The best
bike's price is what percent of
the price of the cheapest
bike?
Answer:
12.5%
Step-by-step explanation:
So just make an equation
400x=50
50/400=1/8=.125
.125=12.5
12.5%
Brenda collected this data from an experiment.
Hours of Sunlight (t) 3 5 7 9 11 13
Height in inches (h) 2.3 3.3 3.9 6.1 7.0 8.4
For the line of fit h = 0.6t + 0.44, what is the residual (difference) of the data point at ???? = 7?
Given:
The data table of an experiment.
Equation of best fit line is
[tex]h=0.6t+0.44[/tex]
To find:
The residual (difference) of the data point at t = 7.
Solution:
From the given table, it is clear that the value of h is 3.9 at t =7.
So, observed value is 3.9.
Equation of best fit line is
[tex]h=0.6t+0.44[/tex]
Putting t = 7, we get
[tex]h=0.6(7)+0.44[/tex]
[tex]h=4.2+0.44[/tex]
[tex]h=4.64[/tex]
So, the estimated value is 4.64.
Residual formula:
Residual = Observed value - Estimated value
= [tex]3.9-4.64[/tex]
= [tex]-0.74[/tex]
Therefore, the residual value of the data point at t = 7 is -0.74.
Which expression is equivalent to 4.25 – (-8)?
sumi
Choose 1 answer:
-8+(-4.25)
B
8 - 4.25
1:59
ice wi
the a
4.25 + 8
on 2:
D
4.25 +(-8)
Answer:
4.25+8
Step-by-step explanation:
the double negative makes it a positive
25 less than x
Pls help anyone
Answer:
If you are looking for an equation, then it would be 25 < x.
Step-by-step explanation:
Help me please. It means a lot
Answer: Jonny makes $15 per hour working at Target. He gets a bonus at the end of the month for $85. This month, he made a total of $685. Write an equation to show how many hours he worked
Step-by-step explanation:
1 is 51
2 is 34
3 is 95
5 is 47
6 is 74
7 is 59
Ok that should be right if I didn't mix anything up!
The Stanford Times had 2,700 subscribers last year.This year, after the paper was bought out, it had 17% more. How many subscribers were there this year?
17% of 2700=459
17% more= 2700+459
Subscribers this time=3,159
a/27 = -3.23
K/(1.2)= -0.07
54.6 = 4.2y
-7.2y = 61.2
Math rush please help
Answer:
K/(1.2)= -0.07
54.6 = 4.2y
-7.2y = 61.2
Math rush please help
Step-by-step explanation:
a/27 = -3.23
K/(1.2)= -0.07
54.6 = 4.2y
-7.2y = 61.2
Math rush please help