Using the binomial distribution, it is found that there is a 0.056 = 5.6% probability that more than 7 will make a purchase.
What is the binomial distribution formula?The formula is:
[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:
There are 12 customers, hence n = 12.The probability of any of them making a purchase is of p = 0.4.The probability that more than 7 will make a purchase is given by:
P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12).
Hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 8) = C_{12,8}.(0.4)^{8}.(0.6)^{4} = 0.042[/tex]
[tex]P(X = 9) = C_{12,9}.(0.4)^{9}.(0.6)^{3} = 0.012[/tex]
[tex]P(X = 10) = C_{12,10}.(0.4)^{10}.(0.6)^{2} = 0.02[/tex]
[tex]P(X = 11) = C_{12,11}.(0.4)^{11}.(0.6)^{1} \approx 0[/tex]
[tex]P(X = 12) = C_{12,12}.(0.4)^{12}.(0.6)^{0} \approx 0[/tex]
Then:
P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) = 0.042 + 0.012 + 0.02 + 0 + 0 = 0.056.
0.056 = 5.6% probability that more than 7 will make a purchase.
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The center of a hyperbola is located at the origin. one focus is located at (0, 20), and its associated directrix is represented by the line y = . what is the equation of the hyperbola? = 1 = 1 = 1 = 1
The equation of the hyperbola is D. [tex]y^2/16^2-x^2/12^2=1[/tex]
Calculations and Parameters:Given that the focus is at (0, 20)
Directrix is y= -256/20
What is the relation between a, b, and c?
[tex]a^2 +b^2 = c^2\\b^2 + (16)^2= (20)^2\\b^2= 400 -256\\b^2= 144[/tex]
b= 12
Making use of the vertices, foci, asymptotes, directrices, and standard equation, we find the equation of the hyperbola is [tex]y^2/16^2-x^2/12^2=1[/tex]
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Answer:
D
Step-by-step explanation:
A restaurant manager is listing 10 items on a menu. Of these menu items, 8 are appetizers and 2 are main courses. All of the appetizers will be listed before both of the main courses. In how many ways can the restaurant manager list the items
The number of ways is an illustration of selections and arrangements.There are 16 ways to order a two-course meal.
What is arrangement?An arrangement is defined as a combination of things that make up a design or that are laid out in a certain way
The given parameters are
Appetizer=8
Main=6
A person can choose 1 a-piece from each menu.
This means that:
There are 8 ways of selecting appetizers, and 2 ways of selecting the main courses.
So, the number of ways (n) is:
[tex]\rm n=Appetizer\times Main[/tex]
[tex]n=8\times 2[/tex]
[tex]n=16[/tex]
Hence, there are 16 ways to order a two-course meal
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please help me solve this
Answer:
solve by using pythagoras theorrm then
square on both side
Solve the following:
a) 4x-3 = 2x + 7
b)
2x+6=7x14
[tex]\huge \qquad \qquad \sf \underline{Answer}[/tex]
[tex] \textbf {Let's Solve :}[/tex]
Question 1 :
[tex]\textsf{4x - 3 = 2x +7}[/tex][tex]\textsf{4x -2x = 3 +7}[/tex][tex]\textsf{2x = 10}[/tex][tex]\textsf{x=5}[/tex]Question 2 :[tex]\sf{2x + 6 = 7 \times 14}[/tex][tex]\sf{2x + 6 = 98}[/tex][tex]\sf{2x = 98-6}[/tex][tex]\sf{2x = 92}[/tex][tex]\sf{x=46}[/tex]
PLS ANSWER FAST!! WILL GIVE BRAINLIEST!! 15 POINTS!!!
Answer:
b, d
Step-by-step explanation:
Please help me!! I need this for school and it’s due soon
Which graph best represents a system of equations that has no solution?
Answer:
um i think no.C but don't know how to explain
Answer:
C
Step-by-step explanation:
C, because there ain't no lines intercepting on graph c
Triangle DEF is similar to triangle ABC. What is the measure, in degrees, of F?
Answer: 50
Step-by-step explanation: Total angle in the triangle = 180
E is 90 and D is 40
What is the interquartile range of this data set? {48, 50, 65, 60, 80, 42, 45, 50, 42, 55, 45} enter the answer in the box.
The interquartile range (IQR) of the given data set, is: upper quartile (Q3) - lower quartile (Q1) = 15.
What is the Interquartile Range (IQR) of a Data Set?The interquartile range (IQR) of a data set = upper quartile (Q3) - lower quartile (Q1).
Given the data set, {48, 50, 65, 60, 80, 42, 45, 50, 42, 55, 45}:
Upper quartile = 60
Lower quartile = 45
IQR = 60 - 45 = 15
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5. Renee's baby sister weighs 7 pounds 2 ounces. How many ounces does her sister weigh?
6. Answer true or false for the following statements. If the statement is false, change the right side of the comparison to make it true.
a. 4 kilograms < 4,100 grams
b. 10 yards < 360 inches
c. 10 liters = 100,000 milliliters
Kim has a piece of fabric that is 1/6 of a meter long. She wants to cut the fabric into 7 equal pieces. How long,in meter, will each piece of fabric be?
Answer:
0.0238 meter per pieces
Step-by-step explanation:
(1/6)/7=0.0238
For confirmation:-
0.0238*7=0.1666=1/6
Answer:
0.02381m
Step-by-step explanation:
1/6 of a meter is 16.667 cm.
16.667 divided by 7 = 2.381cm
To check: 2.381 x 7 = 16.667 (correct)
2.381 cm in meters is 0.02381 m.
The answer is 0.02381m.
Under his cell phone plan, Ryan pays a flat cost of $68.50 per month and $5 per gigabyte. He wants to keep his bill at $92.50 per month. How many gigabytes of data can he use while staying within his budget?
Answer:
answer is 5.7
Step-by-step explanation:
Under Ryan's cell phone plan, he pays a flat cost of $68.50 per month and $5 per gigabyte. With a budget of $92.50, he can use up to 4 gigabytes of data.
Use the concept of subtraction defined as:
Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that,
Ryan's flat cost per month is $68.50.
He pays $5 per gigabyte of data.
Ryan wants to keep his bill at $92.50 per month.
We know that Ryan pays a flat cost of $68.50 per month,
so subtract that from his budget:
$92.50 - $68.50 = $24.
Since Ryan pays $5 per gigabyte,
Divide the remaining budget ($24) by the cost per gigabyte ($5) to find out how many gigabytes he can use:
$24 / $5 = 4.8 gigabytes.
Therefore,
Ryan can use up to 4.8 gigabytes of data and still stay within his budget. Keep in mind that any fraction of a gigabyte will be rounded down,
So he can use a maximum of 4 gigabytes.
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Find x if ∠m1 = 2x + 10 and m∠2 = 3x - 6
Answer: 16
Step-by-step explanation:
Briefly describe The Monty Hall Problem
Stuart bought a sweater on sale for 30% discount off the original price and another 25% off the discounted price . If the original price of the sweater was 600 , what was the final price of a sweater?.
Answer:
$301.50
Step-by-step explanation:
Given that:
Stuart brought a sweater on sale for 30% discount off.
Another 25% discount off
Original price = 600
To Find:
What was the final price of a sweater?
Solve:
$600 x 30% = $180
$600 - $180 = $402 (discounted price after 30% off)
$402 x 25% = $100.50
$402-100.50 = $301.50 (discounted price after 25% off & the final price)
Hence, the final price is $301.50
Kavinsky
2) Find f-1(x) where f(x) = 3x/x+4
What number is represented by P
The number that is represented by P is 0.0057
Narrow it down.The point P is between 5 * 10^-3 and and 6*10^-3When you go to the bottom line, P is on the 7th division from the left.Going from left to right increases PP is on a line that goes between 5 and 6. Each division is 1/10. So P is in the tenth place.One of the answers is 5.7 * 10^-3The other answer is .0057I really don't know which one to choose because we are given no direction. As a programmer, 0.0057 would be easier to program. I would choose it.If it is not correct, then 5.7 * 10^-3 is the answer.
You randomly draw a marble from a bag of marbles that contains 333 blue marbles, 444 green marbles, and 555 red marbles. What is \text{P(draw a blue marble})P(draw a blue marble)start text, P, left parenthesis, d, r, a, w, space, a, space, b, l, u, e, space, m, a, r, b, l, e, end text, right parenthesis?
If necessary, round your answer to 222 decimal places
Work Shown:
3 blue
3+4+5 = 12 total
3/12 = 1/4 = 0.25
Answer: As a fraction it would be 333/ 1,332 and as a decimal it would be 0.25.
Step-by-step explanation:
1. you add all of the marbles and then you would get 1,332
2. there are 333 blue marbles, so it would be 333/1,332
3. if you want it in decimal form it will be 0.25 if you round that to the nearst tenth it would be 0.3.
4. if you want it in fraction form it will be 333/1,332
I hope this is right. Good luck !.Blake gives piano lessons in the evenings. He earns $20 for each piano lesson and has between 0 and 6 lessons each evening. The amount he earns in an evening depends on the number of lessons he gives. What is the range of this relation?
Answer:
The correct answer is B. {0, 20, 40, 60, 80, 100, 120}
Step-by-step explanation:
1. Let's check all the information given to answer this question correctly:
Rate of each piano lesson Blake gives = US$ 20
Blake can give between 0 and 6 lessons every evening
Earnings = Number of lessons * Rate of each lesson
2. What is the range of this relation?
Let's recall that the domain of a relation is the set of all values for which the relation is defined, and the range of the relation is the set of all values that the relation takes.
It means that the domain of the relation in this case is the number of lessons that Blake can give every evening:
{0, 1, 2, 3, 4, 5, 6}
And the range of this relation is the amount Blake earns in an evening depending on the number of lessons he gives:
{0, 20, 40, 60, 80, 100, 120}
The correct answer is B. {0, 20, 40, 60, 80, 100, 120}
Please help!! Will mark brainlyest.
Answer:
(3,-1)
Step-by-step explanation:
PLS HELP I WILL GIVE 25 POINTS THIS IS REAL QUESTION!!!!!!!
Answer:
7040 yards = 4 miles
Step-by-step explanation:
pls mark brainliest
The maximum load that a cylindrical column with a circular cross section
can hold varies directly as the fourth power of the diameter and
inversely as the square of the height. A 9 meter column 2 meters in
diameter will support 64 metric tons. How many metric tons can be
supported by a column 9 meters high and 3 meters in diameter?
Answer:
2396
Step-by-step explanation:
Let the diameter = d
Let the height = h
Formula
Metric Tons = k * d^4 / h^2
Solution
Metric Tons = 64
d = 2
h = 9
k = ?
(You can't do the second part by not using a ratio unless you put k in and solve for it)
64 = 2^4 k / 9^2
64 = 8 *k / 81
64 * 81 / 8 = k
5184 / 8 = k
k = 648
Solve for the second example
Metric Tons = d^4 * k / h^2
Metric Tons = ?
d = 5
h = 13
k = 648
Metric Tons = 5^4 * 648 / 13^2
Metric Tons = 625 * 648 / 169
Metric Tons = 2396 rounded.
IDΚ, help, what's the value of x,
8x-2=-9+7x
Answer:
x = -7
Step-by-step explanation:
8x - 2 = -9 +7x
in this type of problem you have to get all the X's together on one side, and all the common variables together on the other.
8x = -7 + 7x (you add 2 to boths sides. The -2 and 2 clear out on the left side. The 2 and -9 added together forms -7 on the right)
x = -7 (you subtract 7x from both sides. The 7x and -7x cancel out on the right and you are left with on 1 x on the left side)
Answer:
x = -7Step-by-step explanation:
In this question we have given an equation that is 8x - 2 = -9 + 7x . And we're aksed to find the value of x .
Solution : -
[tex] \longmapsto \qquad \: 8x - 2 = -9 + 7x[/tex]
Step 1 : Adding 2 to both sides :
[tex] \longmapsto \qquad \:8x - \cancel{ 2} + \cancel{ 2} = - 9 + 7x+2[/tex]
On further calculations, we get :
[tex] \longmapsto \qquad \:8x =7x - 7[/tex]
Step 2 : Subtracting 7x on both sides :
[tex] \longmapsto \qquad \:8x - 7x = \cancel{7x} - 7 - \cancel{7x}[/tex]
On further calculations, we get :
[tex] \longmapsto \qquad \: \red{\underline{\boxed{ \frak{x = - 7}}}}[/tex]
Henceforth , value of x is - 7 .Verifying : -
Now ww are verifying our answer by substituting value of x in given equation . So ,
8x - 2 = -9 + 7x8 ( -7 ) - 2 = -9 + 7 ( -7 )-56 - 2 = -9 - 49-58 = -58L.H.S = R.H.SHence, Verified.Therefore, our answer is correct .
#Keep Learning375 x 22
What is the answer and how do we get it
Answer:
375x22= 8,250
Step-by-step explanation:
use a calculator!
A corner shelf is 1/4 of a circle and has a radius of 10.5 inches. Enter the area of the shelf, in square inches. Round your answer to the nearest hundredth.
I Have M-step tomorrow
The area of the quarter circle is equal to one-fourth area of the circle. Then the area of the quarter circle is 86.59 square inches.
What is a circle?It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
A corner shelf is 1/4 of a circle and has a radius of 10.5 inches.
Then the area of the quarter circle will be
[tex]\rm Area = \dfrac{\pi r^2}{4}\\\\\rm Area = \dfrac{\pi \times 10.5^2}{4}\\\\\rm Area = \dfrac{\pi \times 110.25}{4}\\\\\rm Area = \dfrac{346.36}{4}\\\\\rm Area = 86.59 \ \ in^2[/tex]
The area of the quarter circle is 86.59 square inches.
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If you know the right answer then help me solve this.
Answer:
False. You can also find the area if you know the diameter or radius of the circle.
Step-by-step explanation:
Help ASAP PLEASE
Directions: Before school began, Mrs. Weeks bought a total of 86 balls.
Use the information below to help you write a
numerical expression for the
number of each type of ball. Then record the total number of each type of ball.
footballs - There are 8 footballs.
basketballs - Two more than twice the number of footballs are
basketballs.
baseballs - Four less than 5 times the number of footballs are
baseballs.
softballs - Six more than half of the baseballs are softballs.
Type of Ball. Football, baseball, basketball, softball.
Numerical Expression for the Each
Number of Balls.
(given)
Total number of each type of ball.
8
Use the space below to show your work. Check your work very carefully because you will need to use your answers to complete Part 2.
Before school began, Mrs. Weeks bought a total of 86 balls. Total number of each type of ball 8. There are 18 Basketballs, 36 Baseballs, 15 Softballs
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Before school began, Mrs. Weeks bought a total of 86 balls.
Total number of each type of ball 8.
footballs - There are 8 footballs.
Basketballs - Two more than twice the number of footballs are Basketballs .
So, Basketballs = 2 + 2(8)
= 18
Baseballs - Four less than 5 times the number of footballs are
Baseballs .
So, Baseballs = 5(8)- 4
= 36
Softballs - Six more than half of the baseballs are softballs.
So, Softballs = 6 + 1/2 baseballs are softballs
= 6 + 1/2 (18)
= 15
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if x-2y=10 and y is three times the value of x, what is the value of x-y ?
Answer:
3x = y
x - 2(3x) = 10
x- 6x = 10
-5x = 10
x = -2
3x = y
3(-2) = y
y = -6
x is -2 and y is -6.
Evaluate
(
3.5
×
10
−
4
)
−
(
7.63
×
10
−
6
)
Give your answer in standard form to 2SF
Answer:
=0.000342
Standard form is 3.4237×10[tex] {}^{-4} [/tex]
Step-by-step explanation:
------------------
the pathway of sams dive into the swimming pool can be represented by the equation h=-16t²+15t+12 (where t=time in seconds and h = height in feet). what is sam's height after 2 seconds?
Given the equation representing the pathway of sam's dive into the swimming pool, his height after two seconds is -22ft.
What is a Quadratic Equation?Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;
ax² + bx + c = 0
Where x is the unknown
Given the data in the question
Equation of the pathway of sams dive into the swimming pool is h = -16t² + 15t + 12.Time t = 2.0 secondsHeight h = ?Now, to get the height after 2 seconds, we substitute 2 for t in the equation.
h = -16t² + 15t + 12.
If t = 2
h = -16(2)² + 15(2) + 12
h = -16(4) + 30 + 12
h = -64 + 30 + 12
h = -64 + 42
h = -22ft
Therefore, given the equation representing the pathway of sam's dive into the swimming pool, his height after two seconds is -22ft.
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