Answer:
3.1 0.6912 = 69.12% probability that one or two out of the next four customers will make a purchase.
3.2 0.9744 = 97.44% probability that at least one out of the next four customers do not make a purchase
Step-by-step explanation:
For each customer, there are only two possible outcomes. Either they make a purchase, or they do not. The probability of a customer making a purchase is independent of any other customer. This means that the binomial probability distribution is used 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.
40% of all customers walking into their store will buy at least one item on that occasion.
This means that [tex]p = 0.4[/tex]
4 customers:
This means that [tex]n = 4[/tex]
3.1 What is the probability that one or two out of the next four customers will make a purchase?
This is:
[tex]P(1 \leq X \leq 2) = P(X = 1) + P(X = 2)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{4,1}.(0.4)^{1}.(0.6)^{3} = 0.3456[/tex]
[tex]P(X = 2) = C_{4,2}.(0.4)^{2}.(0.6)^{2} = 0.3456[/tex]
So
[tex]P(1 \leq X \leq 2) = P(X = 1) + P(X = 2) = 0.3456 + 0.3456 = 0.6912[/tex]
0.6912 = 69.12% probability that one or two out of the next four customers will make a purchase.
3.2. What is the probability that at least one out of the next four customers do not make a purchase?
This is:
[tex]P(X \leq 4) = 1 - P(X = 4)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{4,4}.(0.4)^{4}.(0.6)^{0} = 0.0256[/tex]
[tex]P(X \leq 4) = 1 - P(X = 4) = 1 - 0.0256 = 0.9744[/tex]
0.9744 = 97.44% probability that at least one out of the next four customers do not make a purchase
A soccer ball is kicked from the top of a 64 ft building into the air at an initial speed of 48 ft/sec. Its flight as a functions of time can be modeled by: h(t)=−16t2+48t+64. After how many seconds, will the soccer ball hit the ground (h=0)?
Answer:
t = 4 seconds
Step-by-step explanation:
The height of a soccer ball as a function of time is given by :
[tex]h(t)=-16t^2+48t+64[/tex]
We need to find the time when the ball hit the ground i.e. h = 0
Put h = 0 in above equation. So,
[tex]-16t^2+48t+64=0\\\\16(-t^2+3t+4)=0\\\\-t^2+3t+4=0[/tex]
It is a quadratic equation such that,
t = -1 s and t = 4 s
Neglecting -1 s, the ball will hit the ground after 4 seconds.
x = 15, x = 5; (0.75)
Answer:
12
Step-by-step explanation:
12 is 75 of 15 %^%^%^%^^^___<<<7<
Chandra needs to make 3 gallons of punch. How many cups of frozen strawberries are needed? Use the drown-down menus to complete the answer.
The number of cups of frozen strawberries that are needed to make 3 gallons of punch is equal to 48 cups.
How to calculate the cups of frozen strawberries needed?In this exercise, you're required to determine the number of cups of frozen strawberries that are needed to make 3 gallons of punch. Thus, we would apply direct proportion.
Note: There are 16 cups of frozen strawberries in a gallon.
By direct proportion:
16 cups = 1 gallon
X cups = 3 gallons
Cross-multiplying, we have:
X = 16 × 3
X = 48 cups of frozen strawberries.
Read more on direct proportion here: brainly.com/question/1266676
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what is the volume of a sphere if the radius is 9?
ANSWER IN TERMS OF PI !!!
Pls help I’ll brainlest
▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Law of Exponents ⸔
→ aᵐ × aⁿ = aᵐ＋ⁿ
→ aᵐ ÷ aⁿ = aᵐ－ⁿ
→ (aᵐ)ⁿ = aᵐⁿ
→ aᵐ × bᵐ = (ab)ᵐ
→ a⁰= a¹
→ aᵐ/bᵐ = (a/b)ᵐ
Question's solution ⸔
→ 5⁰
→ 1 [a⁰ = 1]
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Which two teams have the same ratio of wins to losses?
Answer:
Lightning and Eagles
Step-by-step explanation:
14:7 can be rewritten as 2:1 (Factor out 7)
12:6 can be rewitten as 2:1 (Factor out 6)
Both are 2:1
-- Gage Millar, Algebra 2 Tutor
Answer:
D.
Step-by-step explanation:
when you simplify 14:7 you get 2:1 and if you do the same to eagles(12:6) you will get the Same answer( 2:1 )as lightning
A car traveled 11.5 miles in 15 minutes. How many miles per hour was it traveling?
Answer:
46 miles per hour
Step-by-step explanation:
ِAn hour has 60 minutes. In 60 minutes, there is four 15 minutes (4*15 = 60).
So, if it travelled 11.5 miles in 15 minutes, in an hour, it travelled 11.5 * 4 = 46 miles per hour.
The miles per hour he was travelling is 46 miles.
What is the miles per hour travelled?
The first step is determine the average speed. Average speed is the total distance travelled per time.
Average speed = total distance / total time
11.5 / 15 = 0.766667 miles / per minutes
Miles travelled = average speed x time
Miles travelled = 0.766667 x 60 = 46 minutes
To learn more about average speed, please check: https://brainly.com/question/21734785
Mrs. Fox met with 120 students. If three- quarters were girls, how many boys were at the meeting
Answer:30 boys
Step-by-step explanation: There are 120 students, three-fourths are girls. Nine out of twelve is equal to three fourths, if you add a zero to the end of twelve and nine you get 90 out of 120, which is how many girls there are. If you subtract 90 from 120 you get 30 or one-fourth. The number of boys is equal to one-fourth because there is only one-foutlrth left. So, there are 30 boys.
A marathon had 567 runners registered. Of these runners, about 0.7% completed the race in under 2 h 12 min. How many runners completed the race in this time?
Answer:
3
Step-by-step explanation:
If the square of a positive integer is added to four times to integer the result is 117 find the integer.
Answer:
x = -2 ± 452i
Step-by-step explanation:
x² + 4x = 117
x² + 4x - 117 = 0
if you solve this quadratic by using the quadratic formula you get:
x = -2 ± 452i
452i is an imaginary number that equals [tex]\sqrt{-452}[/tex]
find the area of this figure
Answer:
164
Step-by-step explanation:
5×8×2=80
7×12=84
84+80=164
I own 1 mini fish and 2 giant fish each giantfish weighs 3 times as much as minfish. If my mini fish eats my two giantfish, then how many times more weight will my mini fish have now than before
Answer: 6 pounds
Step-by-step explanation:
Answer:
The mini fish would weigh 6 times its original amount hypothetically but if we were talking realistically then you would need more information to figure that out. But even then there's no way of determining the specific weight.
Step-by-step explanation:
PLEASE HELP ALL LINKS GIVEN WILL BE REPORTED
Answer:
- 13
Step-by-step explanation:
[tex]log \frac{ {a}^{6} {b}^{6} }{ {c}^{7} } \\ \\ = log( {a}^{6} {b}^{6} ) - log {c}^{7} \\ \\ = 6log \: a + 6log \: b - 7log \: c \\ \\ = 6(2) + 6( - 3) - 7(1) \\ \\ = 12 - 18 - 7 \\ \\ \therefore \: log \frac{ {a}^{6} {b}^{6} }{ {c}^{7} } = - 13[/tex]
If 2/3x -1 = 4, then x=
Answer:
15/2
Step-by-step explanation:
2/3x-1=4
2/3x=4+1
2/3x=5
x=5/(2/3)
x=(5/1)(3/2)
x=15/2
Find the surface area of the rectangular prism
An office upgrades its internet speed from 10^4 bits per second to 10^8 bits per second. How many times greater is the new internet speed?
Due to budget cuts the Fire Department only has one ladder which is 35 feet long. While rescuing a damsel from a burning house the ladder must be 12 feet from the base of the house. How high up the house can the ladder reach?
a. Draw a diagram that models the situation. Be sure to label it.
b. Write an equation that models the situation and solve it.
Answer:
good luck always brings luck the answer is 12
Step-by-step explanation:
The problem solving is on the image, 6th grade
Hi I'm bad at math the questions is -r - 20r = please help
Answer:
−21r
Step-by-step explanation:
Combine Like Terms:=−r+−20r
=(−r+−20r)
=−21r
Answer:=−21r
please click the crown button (brainliest) thanks!!hope this helps!! <3
According to the National Association of Colleges and Employers, the mean salary for a new college graduate is $45,327. A small college wants to know if the mean salary of their most recent graduates is greater than $45,327. A random sample of 10 recent graduates from the small college was selected and the mean and standard deviation of the salary for those graduates was found. With all conditions for inference met, a significance test was conducted and a p-value of 0.045 was obtained. Which of the following statements is the most appropriate conclusion using a significance level of a = 0.05?
(A) There is convincing statistical evidence that the mean salary for all recent college graduates from the small college is greater than $45,327.
(B) There is convincing statistical evidence that the mean salary for the sample of 10 college graduates from the small college is greater than $45,327.
(C) There is not convincing statistical evidence that the mean salary for all recent college graduates from the small college is greater than $45,327
(D) There is not convincing statistical evidence that the mean salary for the sample of 10 college graduates from the small college is greater than $45,327.
(E) There is not convincing statistical evidence that the graduates from this college will always eam more than $45,327.
Answer:
(A) There is convincing statistical evidence that the mean salary for all recent college graduates from the small college is greater than $45,327.
Step-by-step explanation:
According to the National Association of Colleges and Employers, the mean salary for a new college graduate is $45,327. A small college wants to know if the mean salary of their most recent graduates is greater than $45,327.
At the null hypothesis, we test if the mean salary is the expected salary of $45,327, that is:
[tex]H_0: \mu = 45327[/tex]
At the alternate hypothesis, we test if the salary is greater than the expected salary of $45,327, that is:
[tex]H_1: \mu > 45327[/tex]
With all conditions for inference met, a significance test was conducted and a p-value of 0.045 was obtained. Which of the following statements is the most appropriate conclusion using a significance level of a = 0.05?
The p-value of the test if 0.045 < 0.05, which means that there is sufficient evidence to accept the alternate hypothesis, that is, to conclude that the mean salary for all recent college graduates from the small college is greater than $45,327.
This means that the correct answer is given by option A.
The diameter of a pipe is 6 cm. If the pipe is 26 cm long, what is its volume?
Use the value 3.14 for π , and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
i think this question answer is 734.76cm^3
please help will mark brainlist!!
Answer:
x=28
y=28
Step-by-step explanation:
Equation 1:
Dived both sides by 0.75 to remove 3/4 from x.
(x-12)=16
Now, add 12 to both sides.
x=28
Equation 2:
Same here, divide both sides by 0.75.
y-12=16
Add 12 to both sides.
y=28
Can somebody help me seriously
Answer: b
Step-by-step explanation:
I don't know but i am right
PLZZZ HELP!!! Brainliest to whoever can help!!! T^T
Answer:
I think it B
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
h=2x^2
b=5x^2+4x
we know that
area of triangle (A)=1/2×b×h
=1/2×2x^2×(5x^2+4x)
=x^2(5x^2+4x)
=5x^4+4x^3 square units
Can someone answer this please
Answer:
<COB = 50°
Step-by-step explanation:
We can say that m<AOC + m<COD + m<DOB = 180° because the three mentioned angles form a straight line. We can substitute to get:
3x + 94 + x + 18 + 2x - 4 = 180
Then, we can combine like terms:
6x + 108 = 180
6x = 72
x = 12
We can see that m<COB is the sum of m<COD and m<DOB. We can wrote an equation to model the situation:
m<COB = m<COD + m<DOB
m<COB = x + 18 + 2x - 4
m<COB = 3x + 14
We have the value of x, so we can substitute that in:
<COB = 3(12) + 14
<COB = 36 + 14
<COB = 50°
9 - x < - 11
Show steps please
Answer: x > 20
Step-by-step explanation:
9 - x < - 11
In this scenario, we've to collect like terms in order to.wolve for x. This will be:
9 - x < - 11
- x < - 11 - 9
- x < - 20
Divide both side by -1
-x/-1 < -20/-1
When we divide by a coefficient with minus sign, the sign changes too from less than to greater than
-x/-1 < -20/-1
x > 20
Select all the statements about rotations that are true
A- The shapes of the figure does not change.
B- The positions of the figure does not change.
C- The size of the figure does not change.
D- The orientation of the figure does not change.
E- The coordinates of the figure do not change.
Please help I will give 100 points
Answer:
a. true
b. false
c. false
d. true
e. false
Step-by-step explanation:
A. true, a shape is not warped by a rotation
b. false, the points on the figure will change
c. false, the size is not affected by a rotation
d. true, the orientation changes in a rotation
e. false, the coordinate points on the figure are altered
Answer:
A- The shapes of the figure does not change.
C- The size of the figure does not change.
D- The orientation of the figure does not change
The estimated difference of 3209 and 1893, when rounded off to the nearest ten is
o(a) 1300
(b) 1310
(c) 1320
0 (d) 1000
Answer:
[tex] = (3209) - (1893) \\ = 1.32 \times {10}^{3} \\ = 1320[/tex]
[tex] \small{ \star{ \underline{ \blue{becker}}}}[/tex]
Answer:
1320
Step-by-step explanation:
round off
3209 ≈ 3210
1893 ≈ 1890
estimated difference = 3210 - 1890 = 1320
Subtract 8−2x from 3−6x .
Answer in this format:
Answer:
[tex]4x + 5[/tex]
Step-by-step explanation:
[tex](8 - 2x) - (3 - 6x)[/tex]
[tex]8 - 2x - 1 \times 3 - (6x)[/tex]
[tex]8 - 2x - 3 + 6x[/tex]
[tex] - 2x + 5 + 6x[/tex]
[tex]4x + 5[/tex]
Hope it is helpful....19 POINTS the answer is not the first or second option I’m maybe think the last one