Info Details Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 22 of the 63 boxes on the shelf have the secret decoder ring. The other 41 boxes on the shelf have a different gift inside. If you randomly select two boxes of cereal from the shelf to purchase, what is the probability that both of them have the secret decoder ring
Answer:
0.1183 = 11.83% probability that both of them have the secret decoder ring.
Step-by-step explanation:
The boxes are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[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]
In this question:
63 boxes means that [tex]N = 63[/tex]
22 have the secret decoder ring, which means that [tex]k = 22[/tex]
Two are selected, which means that [tex]n = 2[/tex]
What is the probability that both of them have the secret decoder ring?
This is P(X = 2). So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,63,2,22) = \frac{C_{22,2}*C_{41,0}}{C_{63,2}} = 0.1183[/tex]
0.1183 = 11.83% probability that both of them have the secret decoder ring.
Please explain step by step I dont get it.
Answer:
The answer to this is 47.5 degrees.
Step-by-step explanation:
To find the missing angle of a triangle, you must first understand what the known angles are. For this triangle you have 2 angles already known, the 42.5 degree angle, and the 90 degree angle. An angle will always be 90 degrees if it has that little square. When a triangle has a single 90 degree angle, that triangle will be a right triangle. the following angles will add up to 90 degrees, and so you can just take 90 and subtract 42.5 from it, to find the missing angle length of 47.5 degrees.
Hopefully this answers your question fully, if you need any more help just comment on this :)
The cost, in dollars, of parking a car in a busy downtown area for h hours is $20 + $2h.
Which statement is correct?
Answer:
y= 20h + 2
its $20 times the hours for every 2 hours
At football practice, James had to sprint 40 yards along the field. He did this sprint 22 times.
What distance did he run, in miles?
Answer:
0.5 miles.
Step-by-step explanation:
Remark
I'm going to assume that the total number of sprints was 22. If he sprinted back then there and back counts as 2 sprints.
Formula
Total distance = 22 * 40
Solution
Total distance = 880 yards.
There are 1760 yards in a mile.
The number of miles he ran was 880/1760 = 1/2 mile or 0.5 miles.
Helpppppppppppppppppppp
Answer:
95°
Step-by-step explanation:
95°
They are vertical angles.
Answer:
95 degree write it fast jakakkaoaoa
A bakery specializes in cupcakes. Each day, one dozen cupcakes are randomally selected to test for freshness. Which statement best identifies the population.
A. The population is the daily randomally selected dozen cupcakes
B. The pop is al of the cupcakes in the bakery
C. The population is all goods produced by the bakery
D. The population is the employees of the bakery
Answer:
b) all of the cupcakes in the bakery
Explanation:
in statistics, the population is a group of people/things that are in the same category for collecting data. c) and d) are thus wrong since no data is collected about the other goods or the employees, while a) is wrong because that is just a sample (which helps to test for a large population) and not the actual population.
i hope this helps! :D
Answer: B
Step-by-step explanation:
What is the period of y=4cos5x
you take 2pi and divide it by bits stolen from the equation its explained more in the screennshot
YZ is tangent to circle V. What is the length of YZ? 5 23.8
Which number is equal to 74×7−3 ?
Answer:
515
Step-by-step explanation:
Answer:
511
Step-by-step explanation:
ur mom
What is the answer to this question?
Answer:
I dont know
Step-by-step explanation:
im trying to get brainly points lol
Which term has the definition "A solid that is perfectly symmetrical, has no edges, and
one surface"?
Guide
e plane.
Part A
Find the coordinates of point Q in terms of a, b, and c.
Enter your answer in the box provided. Enter only your answer.
Q(?, ?)
Part B
Since PQRS is a parallelogram, SQ and PR bisect each other. Use
the coordinates to verify that SQ and PR bisect each other.
Enter your justification in the box provided.
-
Answer:
I need help with this as well.
Step-by-step explanation:
The coordinates of point Q in terms of a, b, and c are (2b+2a, 2c) and SQ and PR bisect each other because the midpoints are same.
What is Coordinate Geometry?A coordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates.
Let us find coordinates if T using midpoint formula
T=(2b+2a/2, 2c+0/2)
T=(b+a, c)
Now let us find coordinates of Q using midpoint formula
Xs+Xq/2=Xt
0+Xq/2=Xt
Xq = 2b+2a
Ys+Yq/2=Yt
Yq/2=C
Yq=2c
The coordinates of Q are (2b+2a, 2c)
To verify that SQ and PR bisect each other they share the same midpoint
For SQ = (0+2b+2a/2, 0+2c/2)
Midpoint is (b+a, c)
For PR =(2b+2a/2, 2c+0/2)
Midpoint is (b+a, c)
They have same midpoints, so they bisect each other
Hence, the coordinates of point Q in terms of a, b, and c are (2b+2a, 2c) and SQ and PR bisect each other because the midpoints are same.
To learn more on Coordinate Geometry click:
brainly.com/question/27326241
#SPJ2
Plzzzzzzzzzzzzzzzzzzz help
Answer:
25
Step-by-step explanation:
1/2 b h
1/2×10×5=25
so i guess the ans is 25 thats all I know
u take 1/2 base ×height
!NO LINKS, NO FILES!
please :)
Answer:
132
Step-by-step explanation:
Area of a triangle = [tex]\frac{bh}{2}[/tex]
where b = base and h = height
The following triangle has a base length of 33 m and a height of 8 m
Using this information we plug in the values into the formula
[tex]A=\frac{33*8}{2} \\33*8=264\\\frac{264}{2} =132[/tex]
hence, the area of the triangle is 132 square meters
Please help!!!!!!!!!!!!
Answer:
the answer is c
Answer:
c
Step-by-step explanation:
make them improper fractions and add them later when you get your answer make it to a proper fraction
Help! Note: Figure is not drawn to scale.
If m1 = 35° and m2 = 20°, what is m3?
A.
110°
B.
160°
C.
145°
D.
125°
Answer:
Step-by-step explanation:
Do you not know that a triangle has 180 degrees in total. Pay attention in class geez.
Litter such as leaves falls to the forest floor, where the action of insects and bacteria initiates the decay process. Let A be the amount of litter present, in grams per square meter, as a function of time t in years. If the litter falls at a constant rate of L grams per square meter per year, and if it decays at a constant proportional rate of k per year, then the limiting value of A is R = L/k. For this exercise and the next, we suppose that at time t = 0, the forest floor is clear of litter.
Required:
If D is the difference between the limiting value and A, so that D = R - A, then D is an exponential function of time. Find the initial value of D in terms of R.
Answer:
D = L/k
Step-by-step explanation:
Since A represents the amount of litter present in grams per square meter as a function of time in years, the net rate of litter present is
dA/dt = in flow - out flow
Since litter falls at a constant rate of L grams per square meter per year, in flow = L
Since litter decays at a constant proportional rate of k per year, the total amount of litter decay per square meter per year is A × k = Ak = out flow
So,
dA/dt = in flow - out flow
dA/dt = L - Ak
Separating the variables, we have
dA/(L - Ak) = dt
Integrating, we have
∫-kdA/-k(L - Ak) = ∫dt
1/k∫-kdA/(L - Ak) = ∫dt
1/k㏑(L - Ak) = t + C
㏑(L - Ak) = kt + kC
㏑(L - Ak) = kt + C' (C' = kC)
taking exponents of both sides, we have
[tex]L - Ak = e^{kt + C'} \\L - Ak = e^{kt}e^{C'}\\L - Ak = C"e^{kt} (C" = e^{C'} )\\Ak = L - C"e^{kt}\\A = \frac{L}{k} - \frac{C"}{k} e^{kt}[/tex]
When t = 0, A(0) = 0 (since the forest floor is initially clear)
[tex]A = \frac{L}{k} - \frac{C"}{k} e^{kt}\\0 = \frac{L}{k} - \frac{C"}{k} e^{k0}\\0 = \frac{L}{k} - \frac{C"}{k} e^{0}\\\frac{L}{k} = \frac{C"}{k} \\C" = L[/tex]
[tex]A = \frac{L}{k} - \frac{L}{k} e^{kt}[/tex]
So, D = R - A =
[tex]D = \frac{L}{k} - \frac{L}{k} - \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{kt}[/tex]
when t = 0(at initial time), the initial value of D =
[tex]D = \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{k0}\\D = \frac{L}{k} e^{0}\\D = \frac{L}{k}[/tex]
$3000 is invested at 3% annual interest for 3 years.
a. Simple Interest b. Compound Interest
Answer:
a. $270
b. $3,278.18
Step-by-step explanation:
Given that
The principal amount is $3,000
Annual rate of interest is 3%
And, the time period is 3 years
We need to find out the simple interest & compound interest
The following formulas should be used
a. For simple interest
= Principal × rate of interest × time period
= $3,000 × 3% × 3 years
= $270
b. For compound interest
= Principal × (1 + rate of interest)^time period
= $3,000 × (1 + 0.03)3
= $3,000 × 1.03^3
= $3,278.18
Which statement best describes the roots of the polynomial function
(Function in picture)
Answer:
Root at -4 with multiplicity of 2
Root at 2 with multiplicity of 1
Step-by-step explanation:
You don't actually need to factor this, you can just use Vieta's formulas and deduce the answer by looking at the options.
It states that the product of the roots is equal to the constant over the coefficient of the highest degree term; in this case, it is 16/1=16.
If you take the product of the roots of each answer, you get (from top to bottom) 16, 4, -16, and -4, which means that only the first answer is correct.
Answer:
Root at -4 with multiplicity of 2
Root at 2 with multiplicity of 1
Step-by-step explanation:
pls help asap ill give brainliest
Answer:
Third one
Step-by-step explanation:
Select the correct answer.
What is the range of the data represented by the box plot?
Range = 2 range = 4 range = 10 range = 12
Answer:
c.
Step-by-step explanation:
can i have brainliest
Help sue at 12am and it’s 10 pm
..........plsssssssssssssssss
Answer:
a = 4
b = 5
c =6
Step-by-step explanation:
i hope it helps
the answers are absolutely correct
Find the slope!
19.) (-3, 4) and (-4,-2)
Answer:
Slope is 6
Step-by-step explanation:
(-3, 4) and (-4, -2)
m=(y2-y1)/(x2-x1)
m=(-2 - 4)/(-4 + 3)
m= (-6)/(-1)
m = 6
Someone just please help me no links no guessing seriously
Answer:
no I can't u just ruined my mood
Charlie deposits $5,000 at his local bank and receives a 10% simple interest rate. How
much interest will Charlie have after 5 years?
Answer:
it is 11 years
Step-by-step explanation:
Hope it helps u
FOLLOW MY ACCOUNT PLS PLS
send answers plssssssss
Answer:
Cant see picture
Step-by-step explanation:
raíz cuadrada de 28 más raíz cuadrada de 7 + 35 sobre raíz cuadrada de 7
Answer:
21.1660104885
Step-by-step explanation:
Tuve que buscarlo, no lo sabía
Which rational number is the opposite of 1.7? Select all that apply.
-1 7/10
-1.7
1 7/10
Answer:
-1 7/10 and -1.7
Step-by-step explanation:
Which of these statements is true for f(x) = 3 x 2^x
Answer: the y-intercept is (0,3)
Step-by-step explanation:
the y-intercept is (0,3)
Deacon wants to order DVDs. Each DVD costs $12.95, and he must pay a shipping and handling fee of $4.95 for the entire order. Deacon must spend no more than the $75 gift card he has.
Which inequality matches the situation?
Answer:
12.95a + 4.95 ≤ 75
Step-by-step explanation:
Given:
Cost of each DVD = $12.95
Total shipping fee = $4.95
Total amount as gift card = $75
Find;
Inequality
Computation:
Assume;
Number of DVD he purchase = a
So,
Total amount as gift card ≥ (Cost of each DVD)(Number of DVD he purchase ) + Total shipping fee
75 ≥ (12.95)(a) + 4.95
12.95a + 4.95 ≤ 75