Lincoln owns a small business selling used books. He knows that in the last week 21
customers paid cash, 28 customers used a debit card, and 11 customers used a credit
card.
Based on these results, express the probability that the next customer will pay with
cash or a credit card as a percent to the nearest whole number.
Answers
Answer:
53%
Step-by-step explanation:
Related Questions
Solve the division equation using the model. (2 points)
two wholes partitioned into three equal parts with the fraction one third in each part. Below is the equation two divided by one third equals blank
two sixths
3
6
one sixth
Answers
Explanation
Factor the numerator and denominator and cancel the common factors.
Answer:
1/6
Step-by-step explanation:
in the model it shows 6 spots, 1 of those 6 are colored in.
Let X be the number of the cars being repaired at a repair shop. We have the following information:
At any time, there are at most 3 cars being repaired.
The probability of having 2 cars at the shop is the same as the probability of having one car.
The probability of having no car at the shop is the same as the probability of having 3 cars.
The probability of having 1 or 2 cars is half of the probability of having 0 or 3 cars.
(a) What is the sample space?
(b) Find the pmf of X and draw the histogram of pmf.
(c) Find the cdf of X and draw the histogram of cdf.
Answers
Answer:
(a) Sample Space
[tex]S = \{0,1,2,3\}[/tex]
(b) PMF
[tex]\begin{array}{ccccc}x & {0} & {1} & {2} & {3} \ \\ {P(x)} & {1/3} & {1/6} & {1/6} & {1/3} \ \end{array}[/tex]
(c) CDF
[tex]\begin{array}{ccccc}x & {0} & {1} & {2} & {3} \ \\ {F(x)} & {1/3} & {1/2} & {2/3} & {1} \ \end{array}[/tex]
Step-by-step explanation:
Solving (a): The sample space
From the question, we understand that at most 3 cars will be repaired.
This implies that, the number of cars will be 0, 1, 2 or 3
So, the sample space is:
[tex]S = \{0,1,2,3\}[/tex]
Solving (b): The PMF
From the question, we have:
[tex]P(2) = P(1)[/tex]
[tex]P(0) = P(3)[/tex]
[tex]P(1\ or\ 2) = 0.5 * P(0\ or\ 3)[/tex]
[tex]P(1\ or\ 2) = 0.5 * P(0\ or\ 3)[/tex] can be represented as:
[tex]P(1) + P(2) = 0.5[P(0) + P(3)][/tex]
Substitute [tex]P(2) = P(1)[/tex] and [tex]P(0) = P(3)[/tex]
[tex]P(1) + P(1) = 0.5[P(0) + P(0)][/tex]
[tex]2P(1) = 0.5[2P(0)][/tex]
[tex]2P(1) = P(0)[/tex]
[tex]P(0)= 2P(1)[/tex]
Also note that:
[tex]P(0) + P(1) + P(2) + P(3) = 1[/tex]
Substitute [tex]P(2) = P(1)[/tex] and [tex]P(0) = P(3)[/tex]
[tex]P(0) + P(1) + P(1) + P(0) = 1[/tex]
[tex]2P(1) + 2P(0) = 1[/tex]
Substitute [tex]P(0)= 2P(1)[/tex]
[tex]2P(1) + 2*2P(1) = 1[/tex]
[tex]2P(1) + 4P(1) = 1[/tex]
[tex]6P(1) = 1[/tex]
Solve for P(1)
[tex]P(1) = \frac{1}{6}[/tex]
To calculate others, we have:
[tex]P(2) = P(1)[/tex]
[tex]P(2) = P(1) = \frac{1}{6}[/tex]
[tex]P(0)= 2P(1)[/tex]
[tex]P(0) =2 * \frac{1}{6}[/tex][tex]P(0) =\frac{1}{3}[/tex]
[tex]P(3) = P(0) =\frac{1}{3}[/tex]
Hence, the PMF is:
[tex]\begin{array}{ccccc}x & {0} & {1} & {2} & {3} \ \\ {P(x)} & {1/3} & {1/6} & {1/6} & {1/3} \ \end{array}[/tex]
See attachment (1) for histogram
Solving (c): The CDF ; F(x)
This is calculated as:
[tex]F(x) = P(X \le x) =\sum\limit^{3}_{x_i \le x} P(x_i)[/tex]
For x = 0;
We have:
[tex]P(X \le 0) = P(0)[/tex]
[tex]P(X \le 0) = 1/3[/tex]
For x = 1
[tex]P(X \le 1) = P(0) + P(1)[/tex]
[tex]P(X \le 1) = 1/3 + 1/6[/tex]
[tex]P(X \le 1) = 1/2[/tex]
For x = 2
[tex]P(X \le 2) = P(0) + P(1) + P(2)[/tex]
[tex]P(X \le 2) = 1/3 + 1/6 + 1/6[/tex]
[tex]P(X \le 2) = 2/3[/tex]
For x = 3
[tex]P(X \le 3) = P(0) + P(1) + P(2) + P(3)[/tex]
[tex]P(X \le 3) = 1/3 + 1/6 + 1/6 + 1/3[/tex]
[tex]P(X \le 3) = 1[/tex]
Hence, the CDF is:
[tex]\begin{array}{ccccc}x & {0} & {1} & {2} & {3} \ \\ {F(x)} & {1/3} & {1/2} & {2/3} & {1} \ \end{array}[/tex]
See attachment (2) for histogram
one antifreeze solution is 41% alcohol and another is 24% alcohol. how much of each mixture should be added to make 51 l of a solution that is 35% alcohol.
Answers
Find a rational number halfway in between the two numbers. 7/9 and 3/4
Answers
Answer: 55/126
Step-by-step explanation:
For this equation, the easiest way to solve is to change the denominators, or bottom halves, of both fractions to be the same thing. The easiest way to do this is to multiply themselves with a “funny form” of one. A funny form of one is just a way of representing “1” with numbers that aren’t 1. “2/2” is a funny form of one. log(x)/log(x) is a funny form of one, etc..
(3/7)x(9/9)=27/63
(4/9)x(7/7)=28/63
These fractions are very close. If you are willing to settle for an unsimplified fraction, the answer here would be 27.5/63. If you aren’t willing to settle for the unsimplified form, we can multiply both fractions by a funny form of one again, most easily 2/2, and find the median of the two fractions.
(27/63)x(2/2)=54/126
(28/63)x(2/2)=56/126
The median of these two fractions is 55/126.
55/126 is exactly halfway between 3/7 and 4/9.
Can anyone help? I’ll give Brainly! Thank you :)
Answers
Answer:
(p)60/100 :)
Step-by-step explanation:
Answer:
[tex]1-\frac{2+13+25}{100} = 0,6[/tex]
Problem 1: A potential difference of 10 V is applied across a conductor whose resistance is 25 ω. Calculate the current flowing through it?
Problem 2: If a conductor resistance is 50 Ω and the current passing through the is 5 A. Calculate the potential difference?
Answers
Answer:
Problem 1:
I = 0.4 volts
Problem 2:
V = 250 volts
Step-by-step explanation:
Problem 1:Given:
Potential difference V = 10 V,
Resistance R = 25 ω,
V = IR
I = V/R
I = 10/25
I = 0.4 volts
Problem 2:Current I = 5 A,
Resistance R = 50 ω,
Potential difference
V = IR
V = 5× 50
V = 250 volts
-TheUnknownScientist
Please help . Select the correct answer. What is the domain of function.? P(x) = square root x-1 + 2
Answers
Answer:
B
Step-by-step explanation:
A square root can‘t be negative so
x -1 ≥ 0
x ≥ 1
We can say that the domain is
[1 ; +oo)
The function p(x)=[tex]\sqrt{x+1}+2[/tex]. The domain of the function is [1,∞) or {x|x≥1}.
Given that,
The function p(x)=[tex]\sqrt{x+1}+2[/tex]
We have to find the function domain.
What id domain of the function?The sets of all the x-coordinates and all the y-coordinates of ordered pairs, respectively, make up the domain and range of a relation.
The components of a function are its domain and range. Range, Domain, and Function. If a function f: A→ B exists that maps every element in A to an element in B, then A is the domain and B is the co-domain. The representation of an element 'a' under a relation R is given by 'b', where (a,b) R. The range of the function is the set of photos. In general, a function's domain and range are denoted as follows: Domain(f) = {x ∈ R} and range(f)={f(x) : x ∈ domain(f)}.
The domain of the function is [1,∞) or {x|x≥1}.
Therefore, The domain of the function is [1,∞) or {x|x≥1}.
To learn more about domain visit: https://brainly.com/question/28135761
#SPJ2
Help on this question please!!
Answers
Answer:
[tex]y' = (6,4)[/tex]
Step-by-step explanation:
Given
[tex]y = (3,2)[/tex]
[tex]x = (4,0)[/tex]
[tex]z = (2,-2)[/tex]
[tex]D_{(O,2)}[/tex]
Required
The image of y
[tex]D_{(O,2)}[/tex] implies that y is dilated by a scale factor of 2 across the origin.
So, the image of y is:
[tex]y' = 2 * y[/tex]
[tex]y' = 2 * (3,2)[/tex]
[tex]y' = (6,4)[/tex]
PLEASE! TEST QUESTION
Jenelle invested $17000 in two mutual funds. Fund A earned 4% profit during the first year, while Fund B suffered a 1.5% loss. If she received a total of $460 profit, how much had she invested in each mutual fund?
Jenelle invested $_____ into Fund A.
Jenelle invested $_____ into Fund B.
Answers
Answer:
Jenelle invested $ 13,000 in Fund A and $ 4,000 in Fund B.
Step-by-step explanation:
Given that Jenelle invested $ 17000 in two mutual funds, and Fund A earned 4% profit during the first year, while Fund B suffered a 1.5% loss, if she received a total of $ 460 profit, to determine how much had she invested in each mutual fund, the following calculation must be performed:
17000 x 0.04 - 0 x 0.015 = 680
15000 x 0.04 - 2000 x 0.015 = 570
10,000 x 0.04 - 7000 x 0.015 = 295
12500 x 0.04 - 4500 x 0.015 = 432.5
13000 x 0.04 - 4000 x 0.015 = 460
Therefore, Jenelle invested $ 13,000 in Fund A and $ 4,000 in Fund B.
Kevin's bedroom is 14 feet long and
10 feet wide.
His bathroom is the half the length and half
the width of his bedroom. How do
the areas of these two rooms
compare?
Answers
Answer:
bathroom area is 1/4 area of bedroom
Step-by-step explanation:
bathroom area = 35 sq ft
bedroom area = 140 sq ft
Find the area of the shaded figure. Give answer in decimal to the hundredth place.
Answers
Answer:
13.5
Step-by-step explanation:
72/(16/3)
Help pls I don’t get this
Answers
Answer:
22+ r = 30
I think this is the answer
You have 24 seashells and give 8 seashells to your sister. You arrange the rest of the seashells into 4 equal rows. Which steps can you use to find the number of seashells in each row?
Step 1: 24 – 8 = 16
Step 2: 16 × 4 = 64
There are 64 seashells in each row.
Step 1: 24 – 8 = 16
Step 2: 16 ÷ 4 = 4
There are 4 seashells in each row.
Step 1: 24 + 8 = 32
Step 2: 32 ÷ 4 = 8
There are 8 seashells in each row.
Step 1: 8 ÷ 4 = 2
Step 2: 24 – 2 = 22
There are 22 seashells in each row.
Answers
Answer:
I'm sorry dont leave me I need you here with me now
I'm sorry that are love is gone the love is gone☹☹
If m= 4 and n=7, what is the value of m - n?
Answers
Answer:
-3
Step-by-step explanation:
Hey there!
Equation:
m - n
Solving:
m - n
= 4 - 7
Start at 4 and go up 7 spaces to your left/right
= -3
Therefore, your answer should be: -3
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
I need the answer fast pls
Answers
Answer:
C. A = 0.5*d1*d2
D. A = bh
Step-by-step explanation:
The area of the rhombus can be found depending on what information is made available to us.
If given the lengths of the two diagonals (d1 and d2) of a rhombus which bisect each other, therefore, the formula for finding the area would be:
A = 0.5*d1*d2
Also, if we are given the height (h) and side (b), the formula to use would be:
A = bh
Naval intelligence reports that 8 enemy vessels in a fleet of 17 are carrying nuclear weapons. If 6 vessels are randomly targeted and destroyed, what is the probability that at least 5 vessels transporting nuclear weapons were destroyed? Express your answer as a fraction or a decimal number rounded to four decimal places.
Answers
Answer: Should be about a 20.4% chance
Step-by-step explanation:
17 times 6 divided by 5
Please help me please
Answers
Answer:
F. 4h ≥ 18
Step-by-step explanation:
In 1 hour, she walks 4 miles.
In h hours, she walks 4h miles.
She wants to walk at least 18 miles. That means she wants the distance she walks to be 18 miles or greater.
4h ≥ 18
Answer: F. 4h ≥ 18
Please help me with this guys
Answers
Answer:
reflection across the x axis then reflection across the y axis
Step-by-step explanation:
Ariana Grande put her 7 rings in a rectangular plate that had an area of 54 square inches. If the length of the is 12 inches, what is the width
Answers
Answer:
4.5
Step-by-step explanation:
54/12=4.5
The diameter of a circle is 12 miles, what is the length of the 180 degree arc in the simplest form?
Answers
9514 1404 393
Answer:
6π ≈ 18.8 miles
Step-by-step explanation:
The full circumference of a 12-mile circle is ...
C = πd
C = π(12 mi)
So, half the circumference of the circle is ...
arc length = 1/2C = (12π mi)/2 = 6π mi ≈ 18.8 mi
The following are house prices in Southern California:
$750,000 $875,000 $800,000 $700,000 $1,000,000 $1, 160,000 $1, 180,000
What is the median house price?
A. $875, 000
B. $1,000,000
C. $700,000
D. $923,000
Answers
Answer:
A. 875,000
Step-by-step explanation:
Order them by least to greatest and then find the median from there so, 700,000; 750,000; 800,000; 875,000; 1,000,000; 1,160,000; 1,180,000
875,000 is the middle man so there is your answer
question in image attached
Answers
Answer:
16.97
Step-by-step explanation:
A brick has a mass of 18.3 kg and a volume of 890 cm3.
Evaluate the density of the brick in g/cm3 rounded to 3 significant figures.
1 g/cm3
Answers
Answer
Calculate Volume ... the length and mass measurements all had 3 significant figures.
Step-by-step explanation:
G O O G L E
Which expression shows 6a + 8b + 10 written as the product of the GCF times a sum?
Answers
Answer::112
Step-by-step explanation:
What type of angle is shown? A right angle obtuse angle acute angle Next
Answers
Answer:
obtuse
Step-by-step explanation:
Answer:
b :)
Step-by-step explanation:
None of the other answers make sense. And acute is smaller than a 90 and obtuse is bigger than a 90 if I remember correctly.
Hope this helps!
PLEASE HELP MEEEEEEEE I HAVE 15 MINUTES LEFT
Answers
Write your Answer here please i need this please
Answers
Answer:
A
Step-by-step explanation:
300-50-70+20
Answer:
I believe it would be answer A.
Step-by-step explanation:
When depositing, you're make an addition. Withdrawing, is removing. Making these checks had removed about 120 dollars out of his bank account, meaning the equation would be 300-50-70+20.
Hope this helps! :D
Jack is in charge of road construction crew. The crew must complete 6/7 of a mile of the road by the end of the day. By noon they had completed 3/7 of a mile. How much more road do they have to complete?
Answers
HELP ME I CAN GIVE BRAINLIEST
Answers
Answer:
For Q. 17 I believe it's "the function has a minimum at -1" take this answer with a grain of salt but the other three seem to be true and I don't know how to solve this one so I'm assuming it's the false one.
question 8 heeellppp plzzzzzz
Answers
Answer:
1/4
Step-by-step explanation: