Using the binomial distribution, it is found that there is a 0.81 = 81% probability that NEITHER customer is selected to receive a coupon.
For each customer, there are only two possible outcomes, either they receive the coupon, or they do not. The probability of a customer receiving the coupon is independent of any other customer, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
For each customer, 10% probability of receiving a coupon, thus [tex]p = 0.1[/tex].2 customers are selected, thus [tex]n = 2[/tex]The probability that neither receives a coupon is P(X = 0), thus:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{2,0}.(0.1)^{0}.(0.9)^{2} = 0.81[/tex]
0.81 = 81% probability that NEITHER customer is selected to receive a coupon.
A similar problem is given at https://brainly.com/question/25326823
Mathematics
1. The distance from a point on the ground to the
base of the tree is 18m.
The distance from a point on the ground to the
top of a tree is 20m. Calculate the height of the
tree.
Answer:
8.7m
Step-by-step explanation:
Let's say the height of the tree is h and apply pythagoras:
18² + h² = 20² =>
h = √76 ≈ 8.7m
What is the distance from point B to point D?
A) 5 units
B) 6 units
C) 7 units
D) 8 units
Answer:
6 units
Step-by-step explanation:
B is at ( 0,7)
D is at ( 0,1)
The x point is the same so we are only concerned with the y distance
7-1 =6
6 units
Complete each short proof by providing the reason.
Answer:
Transitive Property of (whether it's equality and congruence can both be correct so differ to your teachers teachings)
Step-by-step explanation:
If line XY is congruent to line TV, and line TV is congruent to line IK, then line XY is congruent to line IK through transitive property.
Answer:
My nanny said its TRANSITIVE PROPERTY OF CONGRUENCE
Step-by-step explanation:
:)
Pls help will give brainlyest 100 points
9514 1404 393
Answer:
a) -4
b) 11
c) a(1) = -4; a(n) = a(n-1) +11 (Maybe you want an = -4+11(n-1).)
d) 95
Step-by-step explanation:
See the attached.
a) The value of a1 is given in the problem statement. It is -4.
__
b) If we take "d" to mean the common difference between terms, it is the value added to one term to get the next term. The recursive formula shows that value is 11.
__
c) The iterative rule for the sequence is given in the problem statement.
We suspect the intention is to ask for the explicit rule. That rule has the form ...
an = a1 +d(n -1)
Using the values of a1 and d, we get the explicit rule ...
an = -4 +11(n -1)
__
d) The recursive/iterative rule requires you find all previous terms in the sequence before you can learn the 10th term. The explicit rule allows you to substitute n=10 and compute the 10th term directly:
a10 = -4 +11(10 -1) = -4 +99 = 95
The tenth term is 95.
_____
Additional comment
We'd rather not have to try to guess the intended question. Perhaps you should discuss this question with your teacher. (recursive vs. iterative vs. explicit)
Please help this is due in a hour
Answer:
Step-by-step explanation:
Do it your self
Answer:
1.05%
Step-by-step explanation:
A rectangle is drawn so the width is 7 inches longer than the height. If the rectangle's diagonal
measurement is 29 inches, find the height.
Give your answer rounded to 1 decimal place.
inches
Answer:
h = 16.7 inches
Step-by-step explanation:
h² + (h + 7)² = 29²
h² + h² + 14h + 49 = 841
2h² + 14h - 792 = 0
h² + 7h - 396 = 0
quadratic formula
h = (-7 ±√(7² - 4(1)(-396))) / (2(1))
h = (-7 ± 40.4103) / 2
h = -23.705 which we ignore as negative length makes no sense
(although 23.705 inches will turn out to be the width of our rectangle)
or
h = 16.705
Now that you've calculated all the missing values complete the table
Answer:
check the explanation
Step-by-step explanation:
Define the number of the items multiply
[tex]20 \times \frac{3}{4} \\ = 15 \\ \\ \frac{8}{3} \times \frac{3}{4} \\ = 2 \\ \\ 32 \times \frac{3}{8} \\ = 4[/tex]
To find weight per item:
[tex] \frac{7}{8} \times \frac{1 }{2} \\ \frac{7}{16} \\ \\ \frac{1}{2} \times \frac{1}{4} \\ \frac{1}{8} [/tex]
Help please, what is the answer to the last one?
*Ignore the answer at the bottom just say the right one*
x=5
A. Symmetric property of equality
B. Subtraction property of equality
C. Division property of equality
D. Commutative property of equality
Answer:
D . Commutative property of equality
[tex]4 \sqrt{62.80} [/tex]
[tex]62.80 \div 4[/tex]
hey guys can you please help me with this question
9514 1404 393
Answer:
4√62.80 ≈ 31.6986
62.80 ÷ 4 = 15.70
Step-by-step explanation:
Your calculator can help you find the values of these expressions. (It is a good idea to learn how to use it.)
a) The square root is calculated before the multiplication.
4√62.80 ≈ 4×7.92465 ≈ 31.6986 . . . . . rounded to 6 significant figures
__
b) The division is performed in any of the usual ways.
62.80 ÷ 62.80 = 15.70
Suppose a function satisfies f(0)=1 and f(2)=-1. What can we say about the roots of the function between 0 and 2?
Nothing...we need more information
There is at least one root, possibly more
There is exactly one root
There is at most one root, possibly less
There is at least one root, possibly more. This is coming from the intermediate value theorem.
May I receive help please
Answer:
C = 0.35x + 100
Step-by-step explanation:
0.35 is the cost per mile, and x is the number of miles. Say if x is 10, meaning you went 10 miles, you would multiply that by 0.35 to get a cost of $3.50. So, use 0.35x . The $100 is added on because it doesn’t matter how many miles were driven, you still have to pay at least that much per day.
what represents -2(3b-6) in standard form?
Answer:
-6b + 12
Step-by-step explanation:
Hope this helps!
Jordyn and Jahari want to buy some candy so they decide to combine their money to buy more. Jordyn has $17.06. Jahari has $24.45. How much money do Jordyn and Jahari have combined?
Couldn’t understand it, mind helping?
Answer:
That'll be the answer choice B
Step-by-step explanation:
-3(4-12)
Distribute :D
-3(4) - -3(12)
A subtraction sign and a negative sign cancel into a plus sign
-3(4) + 3(12)
Multiply!!
-12 + 36
Answer: I believe it would be B.-12+36
The circumference of circle a is 3 times the circumference or circle b. Find circumference of circle b. Diameter of circle a is 27.
Answer:
9π
Step-by-step explanation:
Let a = circumfrence of circle a
b = circumfrence of circle b
a = 3b
circumference = 2πr
diameter = 27
radius = 27/2 (radius is half of the diameter)
a = 2π(27/2)
a = 27π
Plug in the new a
27π = 3b
Divide both sides by 3
27π/3 = 3b/3
b = 9π
100 mph how long it take to cover 10000 miles
please help!
my daughter simply can’t do this + i can’t understand it either, i’ve seen people use this app for help, so please help us ! ❤️
Answer:
To find the first blank number, you can use reverse operations. Something + 7 must equal 3. So, the blank number is 7 subtracted from 3.
3-7=-4
The first blank number is -4. To find the second blank number, add 10 to the first blank number (-4).
-4+10=6
The second blank number is 6.
Hope this helps! :)
Can anyone please help me with these questions??
1. What is the
quadratic parent
function?
2. What is the absolute value parent function?
3. What is the reciprocal function?
1: The parent function of the quadratic family is f(x) = x2. A transformation of the graph of the parent function is represented by the function g(x) = a(x − h)2 + k, where a ≠ 0.
2:The absolute value function is defined by f (x) = |x|. This is the absolute value parent function. The graph of y = a|x| is graph of y = |x| vertically stretched or compressed depending on the |a|.
3:Reciprocal functions are functions that have a constant on their denominator and a polynomial on their denominator. The reciprocal of a function, , can be determined by finding the expression for 1 f ( x ) . We can graph a reciprocal function using the function's table of values and transforming the graph of y = 1 x .
May I receive help please
-)))
2) The circumference of a circle is 8cm . What is the DIAMETER of the circle?
A) 2 cm
B) 4 cm
c) 6 cm
D) 8 cm
Answer:
Step-by-step explanation:
D
HELP!!!!!!!!!!!!!!!!
Fourth answer
basically the points where y=0
hope this helped
PLEASE HELP NOW!!!!!
Answer:
Mostly what season it is. June 22 is the shortest because summer time has the shortest time of the year while winter has more hours.
Step-by-step explanation:
How are key features of a linear function identified and interpreted from an equation?
An increasing linear function results in a graph that slants upward from left to right and has a positive slope. A decreasing linear function results in a graph that slants downward from left to right and has a negative slope. A constant linear function results in a graph that is a horizontal line.
- BRAINLIEST answererDoes the following relationship represent a function?
Input
Output
uiz
1
-10
2
in)
14
3
18.
: Guided
4
ctions
A
Yes
B
No
Answer:
A
Step-by-step explanation:
is the correct answer
Tim is choosing between two cell phone plans that offer the same amount of free minutes. Verizon’s plan charges $39.99 per month with additional minutes costing $0.45. AT&T’s plan costs $44.99 with additional minutes at $0.40. How many additional minutes, a, will it take for the two plans to cost the same?
Answer:
Step-by-step explanation:
tim is choosing between two cell phone plans that offer the same amount of free minutes. Cingulars plan charges $39.99 per month with additional minutes costing $0.45. Verizons plan costs $44.99 with additional minutes at $0.40. How many additional minutes, a, will it take for the two plans to cost the same?\log_(2) (x^(5)) = 1
Answer:
Step-by-step explanation:
Let's convert this equation to exponential form. Then:
^ \log_(2) (x^(5))
2 = 2^1 This is valid because 2 is the base of both the logarithmic and exponential forms.
Therefore:
x^5 = 2. Taking the fifth root of both sides, we get:
x = 2^(2/5), which is approximately 1.32.
#7: Equivalent or Not?
For each pair of equations, determine if the equations are equivalent. Then determine whether the second equation is the result of a valid operation on the first. If so, what is the operation?
1. 7 + 5x = 3 - 2x and 7 + 7x = 3
2. 3 (x – 4) = 15 and x-4 = 15
3. x2 = 6x and x = 6
4. (x+5) = 10 and 1 = 10(x – 5)
Equivalent equations are simply equations that have the same value, irrespective of their form
7 + 5x = 3 - 2x and 7 + 7x = 3 are equivalent3(x – 4) = 15 and x-4 = 15 are not equivalent[tex]\mathbf{x^2 = 6x}[/tex] and [tex]\mathbf{x = 6}[/tex] are equivalent[tex]\mathbf{x+5 = 10}[/tex] and [tex]\mathbf{1 = 10(x - 5)}[/tex] are not equivalent1. 7 + 5x = 3 - 2x and 7 + 7x = 3
Start by solving for x in both equations
[tex]\mathbf{7 + 5x = 3 - 2x}[/tex]
Collect like terms
[tex]\mathbf{2x + 5x = 3 - 7}[/tex]
[tex]\mathbf{7x = - 4}[/tex]
Divide both sides by 7
[tex]\mathbf{x = -\frac 47}[/tex]
[tex]\mathbf{7 + 7x = 3}[/tex]
Collect like terms
[tex]\mathbf{7x = 3-7}[/tex]
[tex]\mathbf{7x = - 4}[/tex]
Divide both sides by 7
[tex]\mathbf{x = -\frac 47}[/tex]
The values of x in both equations are the same;
Hence, 7 + 5x = 3 - 2x and 7 + 7x = 3 are equivalent
2. 3 (x – 4) = 15 and x-4 = 15
Rewrite the first equation as follows
[tex]\mathbf{3 (x - 4) = 15 }[/tex]
Divide both sides by 3
[tex]\mathbf{x - 4 = 5 }[/tex]
In the second equation, we have:
[tex]\mathbf{x-4 = 15}[/tex]
The values of x - 4 are not the same in both equations.
Hence, 3(x – 4) = 15 and x-4 = 15 are not equivalent
3. x2 = 6x and x = 6
Solve for x in the first equation as follows:
[tex]\mathbf{x^2 = 6x}[/tex]
Divide both sides by x
[tex]\mathbf{x = 6}[/tex]
The results of both equations are the same.
Hence, [tex]\mathbf{x^2 = 6x}[/tex] and [tex]\mathbf{x = 6}[/tex] are equivalent
4. (x+5) = 10 and 1 = 10(x – 5)
Solve for x in the first equation as follows
[tex]\mathbf{x+5 = 10}[/tex]
[tex]\mathbf{x = 5}[/tex]
Solve for x in the second equation as follows
[tex]\mathbf{1 = 10(x - 5)}[/tex]
Divide both sides by 10
[tex]\mathbf{0.1 =x - 5}[/tex]
Add 5 to both sides
[tex]\mathbf{x = 5.1}[/tex]
The values of [tex]\mathbf{x+5 = 10}[/tex] and [tex]\mathbf{1 = 10(x - 5)}[/tex] are not the same
Hence, [tex]\mathbf{x+5 = 10}[/tex] and [tex]\mathbf{1 = 10(x - 5)}[/tex] are not equivalent
Read more about equivalent equations at:
https://brainly.com/question/2972832
1.75 rounded to the nearest whole
Answer:
2 is the answer
Step-by-step explanation:
because 7 is going to make 1.75 round up to 2
What is the slope of the line on the graph? PLEASE I NEED HELP ASAP
Answer:
1 / 2
Step-by-step explanation:
the answer is a fraction.
you can find this by going "up 1 over 2"
In the diagram shown below, ABC and ABF BCD.
Prove: BF CD
It has been proven below that BF ║ CD.
From the given diagram, we are told that;
ΔABF ≅ ΔBCD
This means both triangles are congruent.
Now, in the two triangles, we can see that;
∠BAF ≅ ∠CBD
Because they are corresponding angles
We also see that;
∠ABF ≅ ∠BCD
Because they are corresponding angles
Since point B is the midpoint of AC, then it means that;
AB = BC
Thus, we can see that 2 corresponding angles are equal and the included corresponding side is also equal and as a result this fulfils the ASA Congruency Postulate.
Thus, for the fact that ∠ABF ≅ ∠BCD, it means that BF must be parallel to CD.
Read more at; https://brainly.com/question/25354248
