Questions pointA retailer sends scratch-off coupons to registered customers; 30% of the coupons will reveal a discount of 50%.Before mailing, a manager selects 10 coupons at random from the stack of printed coupons and scratches toreveal the discountWhat is the probability that at least one of the coupons will reveal a discount of 50%?Round to 3 decimal places,
Answers
The binomial distribution can be thought of as simply the probability of a SUCCESS or FAILURE outcome in an experiment or survey that is repeated multiple times.
In this case since each scratch cupon can be seen as an experiment with two possible outcomes we can use the binomial distribution.
The probability in a binomial experiment is given as:
\(P(X=k)=\frac{n!}{k!(n-k)!}p^k(1-p)^{n-k}\)where k is the number of successes we want, n is the number of experiments we make and p is the probability of success.
In this case we want the proability that at least one cupon has a discount, that is, we want the probability:
\(P(X\ge1)\)To find this probability we can add the probability of obtaining one plus the proabbility of obtaining two plus the proabibility of obtaining three and so on until we reach the proability of obtaining 10. The other way to obtain it is by using the fact that the sum of proability of all possible outcomes is equal to 1, then we can use:
\(P(X\ge1)=1-P(X=0)\)In this case we only need to evaluate one probability instead of 9. For the probability P(X=0) in our case we have that n=10 (we have ten cupons), k=0 (we want the proability of obtaining zero cupons with discount) and p=0.3 (the proability of obtaining a cupon with discount is 30%), then:
\(\begin{gathered} P(X\ge1)=1-\frac{10!}{0!(10-0)!}(0.3)^0(1-0.3)^{10-k} \\ =0.972 \end{gathered}\)Therefore the probability of obtaining at least one cupon with 50% discount is 0.972
Related Questions
find the vertex of each parabola
Answers
Answer: 16) Vertex = (3, 39)
17) Vertex = (-2, -17)
Step-by-step explanation:
When given the standard form of a quadratic equation: ax² + bx + c
use the Axis of Symmetry formula to find the x-value of the vertex. x = -b/(2a)
Then plug the x-value into the given equation to find the y-value.
16) y = -x² + 6x + 30
↓ ↓ ↓
a= -1 b=6 c=30
\(\text{AOS:}\quad x=\dfrac{-b}{2a}\quad =\dfrac{-(6)}{2(-1)}\quad =\dfrac{-6}{-2}\quad =3\)
Max: y = -(3)² + 6(3) + 30
= -9 + 18 + 30
= -9 + 48
= 39
Vertex: (3, 39)
***************************************************************************************
17) y = 3x² + 12x - 5
↓ ↓ ↓
a= 3 b=12 c= -5
\(\text{AOS:}\quad x=\dfrac{-b}{2a}\quad =\dfrac{-(12)}{2(3)}\quad =\dfrac{-12}{6}\quad =-2\)
Min: y = 3(-2)² + 12(-2) - 5
= 3(4) - 24 - 5
= 12 - 29
= -17
Vertex: (-2, -17)
Which expression represents twice the sum of a number and six
Answers
Answer:
2(x + 6)
Step-by-step explanation:
If we let the number be "x", then the sum of the number and six is x + 6. To find twice the sum, we multiply this expression by 2:
2(x + 6)
Therefore, the expression that represents twice the sum of a number and six is 2(x + 6)
The point (-2, 4) is plotted on the coordinate plane.
The point is reflected across the y-axis. What are the coordinates of the reflected point
A (-2,-4)
B (-2,4)
C (2,-4)
D (2,4)
Answers
Answer:
I would say B
Step-by-step explanation:
Q3. Given that the area of sector below is 85cm^2 work out its radius, marked p on the
diagram.
Give your answer correct to 1 decimal place
Answers
The radius of the circle, marked p on the diagram, is approximately 5.8 cm.
What is radius?Radius is a term used in geometry to describe the distance from the center of a circle to any point on the circumference. It is a line segment that has its two endpoints at the center of the circle and at any point on the circumference.
The area of a sector is equal to the fraction of the circle's area that the sector occupies multiplied by the area of the entire circle.
Therefore, the area of the sector is equal to (θ/360) × πr^2.
Since the area of the sector is given as 85 cm^2, we can rearrange the equation to get:
85 = (θ/360) × πr^2
Rearranging further, we get:
r^2 = (85 × 360)/(πθ)
Taking the square root of both sides, we get:
r = √((85 × 360)/(πθ))
Since the angle θ is not given, we cannot solve for r. However, we can approximate the angle θ to be equal to 360° since the sector occupies the entire circle.
Therefore, the radius of the circle is equal to:
r = √((85 × 360)/(π × 360))
r = √(85/π)
r ≈ 5.8 cm
Therefore, the radius of the circle, marked p on the diagram, is approximately 5.8 cm.
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Answer correct answer for brainliest
Answers
Answer:
Bro it’s a’c’d the sun the moon and the earth their energy works together pushing and pulling towards the earth creating a gravitational pull.
Step-by-step explanation:
Answer:
It's all of the above. Hope this helps :)
I may be wrong
Please check all that apply
Answers
The symbols which correctly relates the two numbers are :
>≥≠We could relate the two given numbers 100 and 20 on the basis of magnitude and equality.
100 is greater than 20, 100> 20
100 is greater than or equal to 20 , 100 ≥ 20
100 is not equal to 20 , 100≠20
Therefore, the symbols which relates the numbers are :
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Plss Help Me! Due today!!
We only have time to test drive 4 cars on our list of 10. How many different permutations are there? How many different combinations?
Jeep Wrangler (2020), Hyundai Accent (2019), Chevy Malibu (2023), Toyota Camry (2019)
Answers
The different combinations of selecting 4 cars out of 10 are 210. And the different permutations of 4 cars to test drive are 5040.
What are permutations and combinations?
They are the ways of selecting things at random and in permutations is where the order of things matter whereas in combinations it does not matter in which order the objects are selected. To determine permutations and combinations formula is derived in which 'r' things are selected out of 'n' things, represented as P(n,r) and C(n,r).
The permuatations is given by the formula:
P(n,r) = n! ÷ {r! (n-r)!}
C(10,4)= 10! ÷ {4! (10 - 4)!}
=10! ÷ {4! 6!}
=\(\frac{10.9.8.7.6.5.4.3.2.1}{4.3.2.1.6.5.4.3.2.1}\)
=210
P(n,r) = n! ÷ {(n-r)!}
P(10,4)= 10! ÷ {(10 - 4)!}
=10! ÷ {6!}
=\(\frac{10.9.8.7.6.5.4.3.2.1}{6.5.4.3.2.1}\)
=5040
There would be 210 combinations and 5040 permutations on chosing 4 cars out of 10.
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You can test drive any of the 5,040 possible combinations and 2,520 possible permutations of the four vehicles on your list.
To find the number of different permutations, we use the formula nPr = n!/(n-r)!, where n is the total number of items (in this case, 10) and r is the number of items being chosen (in this case, 4).
So, the number of different permutations would be 10P4 = 10!/(10-4)! = 10x9x8x7 = 5,040.
To find the number of different combinations, we use the formula nCr = n!/r!(n-r)!.
So, the number of different combinations would be 10C4 = 10!/4!(10-4)! = 10x9x8x7/(4x3x2x1) = 2,520.
Therefore, there are 5,040 different permutations and 2,520 different combinations of the 4 cars on your list that you can test drive.
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Find the midpoint for the segment with endpoints of (3, 2) and (9,6).
Answers
Which graph shows function f?
Answers
The graph of f(x) is the second one, so the correct option is B.
Which graph shows function f?Here we have f(x), a piecewise function, and we want to see which one of the four graphs is the correct one.
You can see that the first domain of the function is:
x ≤ -4
So we must have a closed circle at x = -4, when the parabola ends.
The second domain is:
-4 < x < 1
So x here is not equal to -4 nor 1, so this part starts and ends with open circles.
finally, the linear part starts with a closed circle.
Also, notice that the line has a negative slope, so it goes down, then we can discard the first option.
Then we can see that the correct option is the second graph.
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Which of the following is the correct if clause to determine whether y is in the range 10 through 50, inclusive? (Points : 1) A) ify>=10 and y <= 50: B) if10 > y and y < 50: C) if y >= 10 or y <= 50; D) if 10,y ory.50
Answers
We follow the inclusive rule, The answer to the question is (A) that is
if y>=10 and y <=50
What do you mean by intervals?In mathematics, an interval is expressed in numerical terms. All the numbers between two specific integers are referred to as an interval. All actual values between those two are included in this range. Any form of number you may imagine is a real number.
What are the symbols and their meaning of the intervals?The intervals used are:
(a , b) , All the numbers between a & b without including them.
[a, b] , All the numbers between a & b including them.
y lies in [10,50].
And since it means that it includes 10 and 50 and all the numbers between them.
The final answer is (A) that is if y>1=10 and y <=50.
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The solution of which inequality is shown by the number line?
-7 -6
-5
-4
-3
-2
Answers
Perform the following mathematical operation, and report the answer to the appropriate number of significant figures.
1204.2 + 4.72613 = [?]
The answer is not 1208.92613
Answers
The result of the addition operation of 1204.2 + 4.72613 is approximately 1208.93.
What is an addition operation?An addition operation involves two addends added together to result in a number called the sum.
The addition operation is one of the four basic mathematical operations, including subtraction, division, and multiplication.
Mathematical operations combine numbers, variables, and values with mathematical operands to solve mathematical questions.
1204.2 + 4.72613
= 1208.92613
= 1208.93
Thus, the addition of 1204 and 4.72613 yields a total of 1208.93 approximately.
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Draw a tape diagram to represent the problem.
In Mr. Dutton's class there are 4 boy for every 5 girl ?
Use the tape diagram above to answer the question.
If there are 16 males, how many females are in Mr. Dutton's class?
If there are 18 student in Mr. Sutton's class, how many boy are there? How many girl are there?
Answers
Answer:
uhijhkhyhbjgyvhfthvhtfm
Step-by-step explanation:
yglughujgyjyuhjvgyjhbygjhgjjyjgjjhbjgbjhjhbj
are 2.5 and 25/5 rational numbers?
Brainly for who answers CORRECTLY!!!!!!!
Answers
Answer:
yes 2.5 and 25/5 is a rational number
Answer:
The decimal 2.5 is a rational number
25/5 is not a rational number, but if you divide 25/5 you get 5, and 5 is a rational number. Not sure if you want it in simplest form or not
Step-by-step explanation:
Solve 3 log 2x = 4. Round to the nearest thousandth if necessary.
5
2.783
10.772
Answers
best answer of this equation is 10.772
Answer: 10.772
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
exact form:
x= 10 4/3
--------- (its a fraction)
2
decimal form: 10.77217345....
after that round to the nearest thousandth.
A salesman earns 7% commission on all the merchandise that he sells. Last month he sold $7000 worth of merchandise. How much commission (in dollars) did he earn last month
Answers
A salesman earns $490 as commission on his sales.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, a salesman earns 7% commission on all the merchandise that he sells.
Last month he sold $7000 worth of merchandise.
Now, the commission is 7% of 7000
7/100 ×7000
= 0.07×7000
= $490
Therefore, a salesman earns $490.
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Question 4In 40 years, Imran will be 11 times as old as Sam is right now. How old is sam right now?
Answers
In 40 years Imram will be 11 times as old as Sam right now
So if we call X the age of Imram, and S the age of Sam, we get to build the following equation:
X + 40 = 11 S
therefore S = (X + 40)/11
Second question:
It costs 10 d to support 4 L (legionaries) and 2 A (archers)
SO first equatin is (considering L what a legionary is paid per day, and A what an archer is paid per day):
10 = 4 L + 2 A
Second sentence:
It costs 5 d to support 2 legionaries and 2 archers. This translates to:
5 = 2 L + 2 A
Now solve for 2 A in both equations (substitution):
10 - 4 L = 2 A = 5 - 2 L
10 - 4 L = 5 - 2 L
10 - 5 = 4 L - 2 L
5 = 2 L
L = 2.5
So it costs 2.5 d to pay a legionary
Now solve for A in one of the equations:
2 A = 10 - 4 L
2 A = 10 - 10
2 A = 0
A = 0
So an archer gets paid 0 d (NOTHING!)
Find 5(-12). Thanks I just needed help real quick
Answers
Answer:
-60 ? At least that's if you meant like
\(5 \times ( - 12) = - 60\)
Answer:
Cannot simplify As a decimal 0.41.6 Explanation: 512 does not cancel down
Step-by-step explanation:
is (85.76%) an C or B
Answers
Answer:
It is B.
Step-by-step explanation:
A C is anything between 73-76 %, while a B is anything between 83-86 %
9. (a) (b) (c) (d) (e) Bako is twice as old as he was five years ago. His mother was then six times as old as he was. She is now 35 years old. How old is Bako? 10 How old was his mother when Bako was five? How old will Bako be when his mother is 50? How old was Bako's mother when he was born? What is the difference between Bako's age and his mother's?
Answers
Answer:
(a) Bako is 10 years old
(b) His mother was 30 years old when Bako was 5
(c) Bako will be 25 years old when his mother is 50
(d) Bako's mother was 25 years old when he was born
(e) The difference between Bako's age & his mother's is 25 years
Step-by-step explanation:
Let Bako's age five years ago be x years
Presently, Bako is 2x years old (according to the 1st statement)
Normal, Bako's present age should have been (x + 5) years; since he was x years old 5 years ago.
This simply means that Bako's present age is BOTH 2x years & (x + 5) years.
We have to equate them since they mean the same thing (Bako's present age)
x + 5 = 2x
2x - x = 5
Therefore x = 5 years
Remember that x signified Bako's age five years ago... This simply means that Bako's age five years ago was 5 years.
This simply means that Bako's age now is 10 years old.
His mother was then six times 5 years = 30 years old (from the 2nd statement).
If Bako was 5 years old five years ago and his mother was 30 years old... It simply means that Bako was born ten years ago when his mother was 25 years old.
This simply means that Bako's mother is older than him with 25 years.
Therefore, Bako will be 25 years old when his mother is 50 years old
Suppose that $6000 is placed in a savings account at an annual rate of 4%, compounded quarterly. Assuming that no withdrawals are made, how long will it take for the account to grow to $8670?
Answers
The time taken for the money to grow to $8670 at compound interest is approximately 9.24 years.
Given the amount of money that is the principal = $6000
Rate = 4% compounded quarterly.
Time = t
Amount = $8670
Now we know that the amount is calculated by the formula:
A = P(1+r/4)ⁿ
8670 = 6000(1+0.01)ⁿ
Hence
log 1.445 = n log 1.01
or, n = 36.99
Number of years = 36.99 / 4 = 9.24 years.
The interest that is added to a loan or deposit is referred to as compound interest. Compound interest is computed for a sum utilizing both the principal and interest already paid. The main distinction between compound interest and simple interest is this.
If we look at our bank statements, interest is usually credited to our account once a year. While the principle remains constant, the interest changes annually.
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HELP PLSSS
SHOW WORK
Use the information shown on the auger shell. What is the value of x?
Answers
no lol ;0 you should ask your teacher for help ;(
solve for x. Solve for x solve for x solve for x
Answers
Answer:
x=29
Does the answer help you?
Answer:
x=29
Step-by-step explanation:
If M is the set of all square numbers less than 80 and N is the set of all non-negative even numbers that are under 30, Write the lists of all elements of M and N.
Answers
Answer:
The set M of all square numbers less than 80 is:
M = {0, 1, 4, 9, 16, 25, 36, 49, 64}
The set N of all non-negative even numbers that are under 30 is:
N = {0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28}
Answer:
All elements of the set M in ascending order are:
1, 4, 9, 16, 25, 36, 49, 64All elements of the set N in ascending order are:
0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28Step-by-step explanation:
A square number, also known as a perfect square, is a non-negative integer that is obtained by multiplying an integer by itself. In other words, it is the result of squaring an integer.
The square numbers less than 80 are:
1, 4, 9, 16, 25, 36, 49, and 64.An even number is an integer that is divisible by 2 without leaving a remainder.
The non-negative even numbers that are under 30 are:
0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, and 28.Therefore:
All elements of the set M in ascending order are:
1, 4, 9, 16, 25, 36, 49, 64All elements of the set N in ascending order are:
0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28HELPPP ASAPPP !!!
2. Point A on the graph below represents Nate's house, and Point B represents Nate's favorite restaurant. B A If each unit on the graph represents 3/4 of a mile, how many miles does Nate live from his favorite restaurant?
Answers
Answer:
10miles I think
Step-by-step explanation:
The required distance between, Nate's house and the restaurant is 7.5 miles.
From the graph,
Consider point C on the graph, which is 6 and 8 units apart from A and B respectively.
The distance between, Nate's house and the restaurant is given as,
AB = √[AC² + BC²]
AB = √[6² + 8²]
AB = 10 units
Now 1 unit = 3/4 miles
AB = 10 * 3/4
AB = 7.5 miles
Thus, the required distance between, Nate's house and the restaurant is 7.5 miles.
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Marcus builds a brick wall that is 23 bricks across and 130 bricks high. Which is the best estimate of about how many bricks Marcus will use to build the wall
Answers
Answer: 2,990 Is the amount of Bricks Marcus will use for the wall
Step-by-step explanation:
If the wall is 130 bricks high and 23 bricks across then all you have to do is 130 x 23 which gives you 2,990
but since the question asks for best estimate just choose the answer closest to 2,990 unles they have 2,990 as an answer
Hope this Helps!
The first play of a football game resulted in a loss of12 in a half yards.Then a penalty resulted in another loss of 5 yards. What is the total loss or gain?
Answers
Answer:
11 yards
Step-by-step explanation:
12 half yards
means
6 yards plus 5 yards
11 yards
Hope this helps
Answer:
jk
Step-by-step explanation:
A shipping box is 36 inches by 24 inches by 18 inches
how many cubic feet can it hold
Answers
Answer:
To find the volume of the shipping box in cubic feet, we need to convert the dimensions from inches to feet and then calculate the volume.
Given:
Length = 36 inches
Width = 24 inches
Height = 18 inches
Converting the dimensions to feet:
Length = 36 inches / 12 inches/foot = 3 feet
Width = 24 inches / 12 inches/foot = 2 feet
Height = 18 inches / 12 inches/foot = 1.5 feet
Now, we can calculate the volume of the box by multiplying the length, width, and height:
Volume = Length * Width * Height
Volume = 3 feet * 2 feet * 1.5 feet
Volume = 9 cubic feet
Therefore, the shipping box can hold 9 cubic feet.
Step-by-step explanation:
First convert the units because it's asking for the cubic feet but they give us the measurements in inches.
To convert inches to feet we divide the number by 12.
36 ÷ 12 = 3
24 ÷ 12 = 2
18 ÷ 12 = 1.5
Now to find the volume, we multiply it all together.
3 × 2 × 1.5 = 9
It can hold 9 cubic feet.
Hope this helped!
I NEED HELP HURRRRRRY
Answers
Answer:
D
Step-by-step explanation:
P=6 and Q=2
-3(6/2)=-9
3(-6/2)=-9
3*6/-2=-9
-6/-3*2=1
Find the value of x if (-3)^3x+1 × (-3)^4 = (-3)^8