Answer:
a
[tex]P(X = 4 ) = 0.1876[/tex]
b
[tex]P(X \le 4) = 0.8358[/tex]
Step-by-step explanation:
From the question we are told that
The proportion that has outstanding balance is p = 0.20
The sample size is n = 15
Given that the properties of the binomial distribution apply, for a randomly selected number(X) of credit card
[tex]X \ \ ~ Bin (n , p )[/tex]
Generally the probability of finding 4 customers in a sample of 15 who have "maxed out" their credit cards is mathematically represented as
[tex]P(X = 4 ) = ^nC_4 * p^4 * (1 - p)^{n-4}[/tex]
=> [tex]P(X = 4 ) = ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}[/tex]
Here C stand for combination
=> [tex]P(X = 4 ) = 0.1876[/tex]
Generally the probability that 4 or fewer customers in the sample will have balances at the limit of the credit card is mathematically represented as
[tex]P(X \le 4) = [ ^{15}C_0 * (0.20)^0 * (1 - 0.20)^{15-0}]+[ ^{15}C_1 * (0.20)^1 * (1 - 0.20)^{15-1}]+\cdots+[ ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}][/tex]
=> [tex]P(X \le 4) = 0.8358[/tex]
number of non perfect square numbers lie between the squares of 17 and 18 is
Every week I buy four 2-litre bottles of lemonade whilst shopping at my local supermarket. Last week the bottles on the shelf were limited edition “2.5 litres for the price of 2 litres” bottles, and the supermarket also had a “buy 3 bottles, get another one free” offer.
In terms of cost per litre, by what percentage was the cost of my four bottles of lemonade lower than usual last week?
Answer:
40%
Step-by-step explanation:
Every week you he buys 4 number of 2 Litres bottle of lemonade.
Thus, let's say cost of each bottle is X.
This means he total cost is 4X
Now, total litres = 4 × 2 = 8 litres
Thus, cost per litre = 4X/8 = ½X
Now, we are told that Last week the bottles on the shelf were limited edition “2.5 litres for the price of 2 litres” bottles ".
This means that now, it is cheaper.
However, the supermarket also had a “buy 3 bottles, get another one free” offer.
Now since he buys 8 litres weekly, now since it's 2.5 L bottle, he will buy 3 since he will be given 1 free for every 3 he buys.
Thus, total litres he is paying for = 2.5 × 3 = 7.5 litres
Thus, cost per bottle is; 3X
Since he is getting 1 bottle free, then total bottle he gets is; 7.5 L + 2.5 L = 10L
Thus;
cost per litre is now; 3X/10
Difference in costs per litre is;
½X - 3X/10 = X/5
percentage of the cost of four bottles of lemonade lower than usual last week = (X/5)/(½X) × 100% = 2/5 × 100% = 40%
Ann ate 54 candies in two days. How many candies did she eat each day, if she ate 8 more candies on the first day than on the second day?
Answer:
35 on the first day, 19 on the second
Answer:
31 and 23
Step-by-step explanation:
she ate 23 candies on the first which add 8 equals 31. add 23 to that and you get 54 hope this helps
Geometry sucks I need help im really behind
Answer:
26°
Step-by-step explanation:
[tex]m\angle WXZ = 78\degree... (given) \\\\
m\angle 2 = 2m\angle 1...(given)... (1)\\\\
\because m\angle 1 + m\angle 2=m\angle WXZ \\\\
\therefore m\angle 1 + m\angle 2=78\degree... (2)\\\\
\therefore m\angle 1 + 2m\angle 1=78\degree\\ [From\:equations\: (1)\: \&\:(2)] \\\\
\therefore 3m\angle 1=78\degree\\\\
\therefore m\angle 1=\frac{78\degree}{3}\\\\
\therefore m\angle 1=26\degree \\[/tex]
Can someone please help, ty!!
(Will mark brainliest)
³√3000- ³√375 simplify
Answer:
30√30 - 15√15
Step-by-step explanation:
I'm not 100% sure
Answer:
We can write³√3000- ³√375 as [tex]\sqrt[3]{5*5*5*2*11}-\sqrt[3]{5*5*5*3}[/tex]
[tex]\sqrt[3]{5*5*5*2*11}-\sqrt[3]{5*5*5*3}[/tex]= [tex]5\sqrt[3]{22} -5\sqrt[3]{3}[/tex]
[tex]5\sqrt[3]{22} -5\sqrt[3]{3}[/tex] is the simplest form of ³√3000- ³√375
HELPPP PLEASE!!!! SHOW ALL WORK!!!
Answer:
x=54
Step-by-step explanation:
these two angles are supplementary to each other. this is because alternate interior angles are congruent, and 2x+42 degrees is supplementary to the alternate interior angle of x-24 degrees. so, we can add these two numbers up and set it equal to 180.
2x+42+x-24=180
3x+18=180
3x=162
x=54
if this question is asking for x, 54 is the answer. if it is asking for the angle measures, plug in 54 for x for each angle and solve.
PLZ HELP FAST!!!!!!!!
Answer:
-6, -1, 4, -1
Step-by-step explanation:
If you plug it in thats what you get
HELP PLS 100PTS!!!
Evaluate s(-19)
s(n)=7-4n
Answer: Therefore, the recursive formular is A(n) = A(n - 1) + 9
Step-by-step explanation: (n) = 2 + 9(n - 1) = 2 + 9n - 9
(n + 1) = 2 + 9(n + 1 - 1) = 2 + 9n = (2 + 9n - 9) + 9 = A(n) + 9
The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog.
If the veterinarian gives a 30-pound dog 5 milligram of the medicine, which equation relates the weight, w, and the
dosage, o?
Question: The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog. If the veterinarian gives a 30-pound dog 3/5 milligram of the medicine, which equation relates the weight,w, and the dosage, d?
Answer: d= 1/50w
Explanation: I took the test in Edgenuity.
Hope this helps!
Each square in the periodic table contains the element's atomic number, chemical symbol, name, and atomic mass.
True or false?
Answer:
True...
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
37 degree 79 degree what is the value of n
Answer:
64
Step-by-step explanation:
The angles all add up to 180. 37 plus 79 is 116. 180-116=64.
Hope this helped! If it did, please let me know by marking it the brainliest!
Speedie ran the 200 meter race in 25.5 seconds. How much of an hour did it take Speedie to run
the race? 1.0 hour = 3600.0 seconds
Answer:
Speedie ran the race in 0.708(3)% of an hour, the 3 in the parentheses means the 3 repeats forever
Step-by-step explanation:
We have 25.5/3600, and when we convert it to a decimal, we have 0.00708(3), the 3 in the parentheses means the 3 repeats forever. To convert it to percentage, we multiply it by 100, to get 0.708(3). Hope it helps!
Think: 43 tens x 3 tens =
On average, Joanne writes
9 emails per day. How long
will it take Joanne to write
279 emails?
Answer:
It will take 31 days (4 weeks and 3 days) to write 279 emails
Step-by-step explanation:
279 emails ÷ 9 emails per day = 31 total days to write 279 emails
el perímetro de un cuadrado es de 24 ft ¿cuál es la longitud de los lados?
Answer:
English?
Step-by-step explanation:
Which of the following is not true?
[tex]4\pi > 12[/tex]
[tex]\sqrt{18 } + 2 < \frac{15}{2} [/tex]
[tex]6 - \sqrt{35} < 0[/tex]
[tex] \sqrt{16} + 4 > \sqrt{4} + 5[/tex]
Answer: 6 - √35 < 0
----------------------------
What is the 50th term for -7,-2,3 ...?
a(50) = 238
Step-by-step explanation:The constant (diference) = 5
-2 - (-7) = - 2 + 7 = 5
3 - (-2) = 3 + 2 = 5
use formula
a(n) = a + (n - 1)d
a = - 7
n = 50
d = 5
a(50) = - 7 + (50 - 1)5
= - 7 + 49ₓ5
= - 7 + 245
= 238
Good luck !
0.45 x 10 pleeeeeeaaaaaaase answer!!!!! Good luck!
Answer:
4.5
Step-by-step explanation:
The reason is you take the .45 × 10 the 4 will be brought to the left due to the ten pushing it. If it was .45 x 100 it would be 45. Apply that with all decimals x 10 , 100 , 1000 or higher
Please help!! ASAP!! Graph Y=3/8x-2
btw guys I was wondering what was the most popular NHL team as peoples favorites so answer with yours
Answer:
well in my opinion i love the the Dallas cowboys
Answer:
Columbus Blue Jackets
Step-by-step explanation:
what is 46.025 written in scientific notation?
A jet and a light plane leave the same airport at the same time and travel in opposite directions at 960 km/h and 560 km/h, respectively. In how many hours will they be 4560 km apart?
The jet travels a distance of
(960 km/h) t
after time t, while the light plane travels a distance of
(560 km/h) t
The jet is faster than the light plane, so the distance between them is
(960 km/h) t - (560 km/h) t = (400 km/h) t
so the time it takes for them to be 4560 km apart is
(400 km/h) t = 4560 km
==> t = (4560 km) / (400 km/h)
==> t = 11.4 h
The hoffman family has bought one pizza on Friday night every week for the last 10 years. How many pizzas have they bought on Friday night
Answer:
520 Pizzas
Step-by-step explanation:
Given
[tex]Duration = 10\ years[/tex]
Required
Determine the total number of Pizzas
Since, the Pizza is bought on a weekly basis
and there are 52 weeks in a year.
Number of Pizzas (P) is calculated as thus:
[tex]P = 52 * Duration * Pizzas[/tex]
[tex]P = 52 *10 * 1\ Pizza[/tex]
[tex]P = 520\ pizzas[/tex]
How could you informally prove to your friend that you have been working with a trainer at the gym.
You can show your gym bill.
You can show your membership card.
You can demonstrate some of the exercises that your trainer taught you.
You can show your before and after charts for your muscle mass.
Answer:
You can demonstrate some of the exercises that your trainer taught you
Step-by-step explanation:
The rest of the options are too formal.
You can demonstrate some of the exercises that your trainer taught you. The correct option is C.
what is convincing communication?Persuasive communications include a variety of attributes designed to increase persuasions, such as an appealing source, a message with convincing arguments, or efforts to make the topic seem personally relevant to the audience.
You can prove to your friend that you have been working with a trainer at the gym by demonstrating some of the exercises that your trainer taught you.
Therefore, you can demonstrate some of the exercises taught to you by your trainer. C is the correct answer.
To know more about convincing communication follow
https://brainly.com/question/25793182
#SPJ2
can you guys help me?
Answer:
I am doing this for the gram say hi
Step-by-step explanation:
express 5/8 as a percent
Answer:
62.5%
Step-by-step explanation:
you would do 5 divided by 8 to find the decimal form then move the decimal over 2 spots to the right and that is the percent value.
Please help, explain and correct the mistake on the picture below, marking brainliest!
Answer:
see below
Step-by-step explanation:
2/3 x = -6
Multiply each side by the reciprocal to isolate x
3/2 * 2/3x = -6 * 3/2
x = -9
The graph of the reciprocal parent function f(x)=1/x, is shifted 6 units down and 1 unit to the right to create the graph of g(x). What function is g(x)?
A. g(x)=1/x+6-1
B. g(x)=1/x-1-6
C. g(x)=1/x-6-1
D. g(x)=1/x+1-6
Transformations are used to move a function from one position to another. The new function g(x) is [tex]g(x) = \frac{1}{x-1} - 6[/tex]
Given that
[tex]f(x) = \frac 1x[/tex]
When shifted 6 units down. the rule of transformation is:
[tex](x,f(x)) \to (x,f(x) - 6)[/tex]
So, we have:
[tex]f'(x) = f(x) - 6[/tex]
[tex]f'(x) = \frac 1x - 6[/tex]
When shifted 1 unit left. the rule of transformation is:
[tex](x,g(x)) \to (x -1,f'(x))[/tex]
So, we have:
[tex]g(x) = f'(x - 1)[/tex]
[tex]g(x) = \frac{1}{x-1} - 6[/tex]
Hence, the new function g(x) is [tex]g(x) = \frac{1}{x-1} - 6[/tex]
Read more about function transformation at:
https://brainly.com/question/12865301
what is the sum of 1/3+3/6=
Answer:
5/6
Step-by-step explanation: