Answer:
a) 0.7412 = 74.12% probability that all the three orders will be filled correctly.
b) 0.0009 = 0.09% probability that none of the three will be filled correctly
c) 0.0245 = 2.45% probability that at least one of the three will be filled correctly.
d) 0.9991 = 99.91% probability that at least one of the three will be filled correctly
e) 0.0082 = 0.82% probability that only your order will be filled correctly
Step-by-step explanation:
For each order, there are only two possible outcomes. Either it is filled correctly, or it is not. Orders are independent. This means that we use the binomial probability distribution 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.
The percentage of orders filled correctly at Burger King was approximately 90.5%.
This means that [tex]p = 0.905[/tex]
You and 2 friends:
So 3 people in total, which means that [tex]n = 3[/tex]
a. What is the probability that all the three orders will be filled correctly?
This is P(X = 3).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{3,3}.(0.905)^{3}.(0.095)^{0} = 0.7412[/tex]
0.7412 = 74.12% probability that all the three orders will be filled correctly.
b. What is the probability that none of the three will be filled correctly?
This is P(X = 0).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.905)^{0}.(0.095)^{3} = 0.0009[/tex]
0.0009 = 0.09% probability that none of the three will be filled correctly.
c. What is the probability that one of the three will be filled correctly?
This is P(X = 1).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{3,1}.(0.905)^{1}.(0.095)^{2} = 0.0245[/tex]
0.0245 = 2.45% probability that at least one of the three will be filled correctly.
d. What is the probability that at least one of the three will be filled correctly?
This is
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
With what we found in b:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0009 = 0.9991[/tex]
0.9991 = 99.91% probability that at least one of the three will be filled correctly.
e. What is the probability that only your order will be filled correctly?
Yours correctly with 90.5% probability, the other 2 wrong, each with 9.5% probability. So
[tex]p = 0.905*0.095*0.095 = 0.0082[/tex]
0.0082 = 0.82% probability that only your order will be filled correctly
Lin has a maximum of $40 to spend at the movies. The movie ticket costs $10. After purchasing the ticket, she can spend d dollars to buy food items at the movies.
Which inequality can be used to find the possible values for d?
Answer:
d ≤ 30
Step-by-step explanation:
40 - 10 = 30
she will be able to spend at most 30 dollars
Lani has 84 Lego blocks and 25% were red. How many red Lego blocks does Lani have? Show and explain your work.
Answer:
21
Step-by-step explanation:
84x0.25=21
25% is 0.25 as a decimal. Multiply it times 84 to find the answer.
how do I find the length of CA
For a rhombus, which of the following statements are true? (select all that apply)
1)Opposite sides are parallel
2)All sides are congruent
3)Consecutive angles are congruent
4)Consecutive angles are supplementary
5)All angles are congruent
6)Opposite angles are congruent
Answer: 1,4,6
Step-by-step explanation:
https://quizlet.com/483245104/geometry-parallelogram-quiz-flash-cards/
\the incenter is a point of
Step-by-step explanation:
The point formed at the intersection of the three angle bisectors of a triangle; also the centre of the incircle.
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Can someone please answer a-d I have 5 mins!!!!
6 points and Brainly:)
Answer:
a) 12×6=72 cm²
b) 3x6:2= 9 cm²
c) 3x6:2=9 cm²
d) 72-9-9= 54 cm²
ANSWER PLS HELP NOW PLS
Which equation shows the line with m = 6 and Y - intercept = -3,
written in slope-intercept form?
Answer:
y = 6x - 3
Step-by-step explanation:
The equation shows the line with slope of 6 and y-intercept = -3 will be y = 6x - 3.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The slope of the line is 6 and the y-intercept of the line is negative 3. Then the equation of the line will be
y = 6x - 3
The equation shows the line with slope of 6 and y-intercept = -3 will be y = 6x - 3.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
10 points if you answer this
Answer:
7. = 1/4 or 3 pieces left.
Step-by-step explanation:
If you take 12 pieces of pizza and divide it by 4 it equals 3. So 3 times 3 because there are 3 pieces left. Hope that makes sense!
A customer at least lunches can choose a protein from chicken beef or shrimp the customer can also choose from right or brown rice which diagram shows all the possible combinations of one type of Protane and one type of rice
Answer:
A
Step-by-step explanation:
f(x) = 4x - 9 step by step and put the right anwser so I can read it
right and evaluate an expression to help you determine how much you make if you charge $7.50 to walk dogs and you walk 10 dogs
Answer:
7.50(10)
You make 75 dollars
Step-by-step explanation:
7.50(10)= 75
Which is the better deal?
Box of Cheerios
48 oz for $3.99
36 oz for 2.59
12 oz for 1.99
48 oz?
Step-by-step explanation:
I don't know if you are just asking or what not but I belive it is 48 ozs but I could be wrong
Answer:
36oz for 2.59
Step-by-step explanation:
Try doubling each possible answer (largest isn't required):
36oz for 2.59 doubled is 72oz for 5.18.
12oz for 1.99 doubled is 24oz for 3.98.
The clear answer is 72oz for 5.18 instead of 48oz for 3.99.
Which expressions have the same solution as-4(6)?
Check all that apply.
044-6)
4-6)
6(-4)
-8(2)
12(-2)
Answer:
B, C,E
Step-by-step explanation:
I got it right on Edge2021
Please help me with this question
It is Called because 627 times 35 equals 21,945.
If sin(2)=cos(+30°), what is the value of ?A. 20° B. 30° C. 50° D. 110°
Answer:
ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo9
Step-by-step explanation:
jk its c
What is the value of x?
Answer:x=31
not sure
Step-by-step explanation:
5th grade math. correct answer will be marked brainliest.
4. Which function defines the sequence -6,-10,-14, 18,... , where f(6) = - 26 ?
(1) f(x) = - 4x - 2
(2) f(x) = 4x - 2
(3) f(x) = - x + 32
(4) f(x) = x - 26
PLS HELP!!!!! Find the solution to (X+2)2=49
Answer:
22.5
Step-by-step explanation:
you have to do opposite bedmass to isolate the variable. the opposite of multiplying is division.
(X+2)2 =49
2 2
Then do addition as subtraction.
X+2= 24.5
-2 -2
X= 22.5
look at the diagram below. which two cities have the same temperature?
options : Aberdeen, Edinburgh, Leeds, Exeter.
some are
edinburgh and exeter
if Suzannah's budget limit is $10 per month, how many text messages can she send in one month?
Answer:
.10x100=$10
Am smort :D
Need help immediately! I can't do this it's way too hard and I don't get it because I missed class today! Someone, can you please do all of them for me?
Answer:
I cant see that pdf you attached maybe tell me what questoin you are asking?
balance the equation showing all 6 steps. 200=g-180
Answer:
g = 380
Step-by-step explanation:
200 = g - 180
You add 180 to both sides
200 + 180 = g
380 = g
Hope that helps!
pls answer this if you do I mark brainlest
Answer:
268
Step-by-step explanation:
2×(10×8 + 10×3 + 8×3) = 268 yards
Answer:
[tex]268yd^2[/tex]
Step-by-step explanation:
The Surface Area formula for a rectangular prism is:
[tex]2(wl+hl+hw)[/tex]
where w is the width, h is the height, and l is the length.
Plug each value into the formula and solve:
[tex]2(8*10+3*10+3*8)=268yd^2[/tex]
If this helped, a brainliest answer would be greatly appreciated!
Select all composite numbers shown:
11
12
13
14
15
16
17
18
19
20
Answer:
12,14,16,18,20
Step-by-step explanation:
Answer:
just 20
Step-by-step explanation:
Ez
Which function is increasing and has a domain of (1, 0);
A. f(t) = log(t – 1) + 2
B. f(x) = -log(x - 1) + 2
C. f(t) = log(x - 2) + 1
D. f(x) = -log(x - 2) + 1
The function f(t) = log(t – 1) + 2 is increasing and has a domain of (1, ∞) option (A) is correct.
What is a logarithm?It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b = c\\log_ac =b[/tex]
The question is incomplete.
The complete question is:
Which function is increasing and has a domain of (1, ∞);
A. f(t) = log(t – 1) + 2B. f(x) = -log(x - 1) + 2C. f(t) = log(x - 2) + 1D. f(x) = -log(x - 2) + 1As we know, the function can be defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
Graph the function f(t) = log(t – 1) + 2 on a coordinate plane.
As we can see in the graph, the graph of a function has a domain:
(0 , ∞)
And the function is increasing.
Thus, the function f(t) = log(t – 1) + 2 is increasing and has a domain of (1, ∞) option (A) is correct.
Learn more about the Logarithm here:
brainly.com/question/163125
#SPJ2
Answer:
A. f(t) = log(t – 1) + 2
Step-by-step explanation:
I took the test
Find the missing dimension of each prism the volume equals 60 in.³ width equals 2.5 in. length equals 4 in. FIRST CORRECT ANSWER GETS 15 POINTS!!!
Answer:
Missing dimension is 6
Step-by-step explanation:
2.5 times 4 is 10, to get to 60, your missing 6, 60/10=6
Question 7. Jose has scored 874 points on his math tests so far this semester. To get an A for the semester, he must score at least 959 points. Part 1 Enter an inequality to find the minimum number of points he must score on the remaining tests in order to get an A. Let n represent the number of points Jose needs to score on the remaining tests. What is the inequality. What is the solution to the inequality
Answer:
Step-by-step explanation: How many more points does he need to get to 959