Answer:
B. Observing that five out of the next ten customers at a hotdog stand order hot peppers given that the probability of ordering hot peppers is 0.18.
Step-by-step explanation:
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.
Option A:
No, since it is not the probability, or percentage of students that have ear pircings, it is the number, which can assume values larger than 1.
Option B:
Yes, since it is a probability, each customer is independent of other customers, and in each trial, there are only two possible outcomes. This is the correct answer.
Option C:
No, this is called inverse binomial, as we want to find the number of customers until one does something, not the probability of a number of customers doing something.
Which property is used in the first step to solve this equation
4(x-6)=5
4x-24 = 5
4x= 29
x=29/4
Answer:
Distributive property
Step-by-step explanation:
Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for the constant of integration.) xe7x dx; u
Answer:
[tex]\displaystyle \int {xe^{7x}} \, dx = \frac{e^{7x}}{7} \bigg( x - \frac{1}{7} \bigg) + C[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integration
IntegralsIntegration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
U-Substitution
Integration by Parts: [tex]\displaystyle \int {u} \, dv = uv - \int {v} \, du[/tex]
[IBP] LIPET: Logs, inverses, Polynomials, Exponentials, TrigStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int {xe^{7x}} \, dx[/tex]
Step 2: Integrate Pt. 1
Identify variables for integration by parts using LIPET.
Set u: [tex]\displaystyle u = x[/tex][u] Basic Power Rule: [tex]\displaystyle du = dx[/tex]Set dv: [tex]\displaystyle dv = e^{7x} \ dx[/tex][dv] Exponential Integration [U-Substitution]: [tex]\displaystyle v = \frac{e^{7x}}{7}[/tex]Step 3: integrate Pt. 2
[Integral] Integration by Parts: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \int {\frac{e^{7x}}{7}} \, dx[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{1}{7} \int {e^{7x}} \, dx[/tex]Step 4: Integrate Pt. 3
Identify variables for u-substitution.
Set u: [tex]\displaystyle u = 7x[/tex][u] Basic Power Rule [Derivative Property - Multiplied Constant]: [tex]\displaystyle du = 7 \ dx[/tex]Step 5: Integrate Pt. 4
[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{1}{49} \int {7e^{7x}} \, dx[/tex][Integral] U-Substitution: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{1}{49} \int {e^u} \, dx[/tex][Integral] Exponential Integration: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{e^u}{49} + C[/tex][u] Back-Substitute: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{e^{7x}}{49} + C[/tex]Factor: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{e^{7x}}{7} \bigg( x - \frac{1}{7} \bigg) + C[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Selma wants to know if seventh-grade students prefer to do their math homework in silence or with background music. She polled the 21 students in her music class. Seven students preferred to do their math homework in silence, and fourteen students preferred to do their math homework with background music. What type of sampling is demonstrated in the situation above?
A. random sampling
B. census
C. convenience sampling
D. Systematic Sampling
Answer:
D.
Step-by-step explanation:
She used systematic sampling by asking the class to vote by using a type voting system this will help by choosing the highest number as the vote she will go through with.
Question 10 Multiple Choice Worth 4 points)
(02.05 LC)
Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x - 2)?
The graph of y = f(x) will shift left 2 units.
The graph of y = f(x) will shift right 2 units.
The graph of y = f(x) will shift up 2 units.
The graph of y=f(x) will shift down 2 units.
Answer:
Your answer is A
Step-by-step explanation:
The graph of y = f(x) will shift left 2 units.
1. A shirt, x, is discounted 20%; what is the sale price?
A. y = 2.2x
B. y = 0.8x
C. y = 1.2x
D. y = 1.02x
E. y = 0.02x
2. A family left a 20% tip after their meal. What is the final cost of their meal if the food cost x dollars?
A. y = 2.2x
B. y = 0.8x
C. y = 1.2x
D. y = 1.02x
E. y = 0.02x
3. A store adds a 120% markup to the cost of an item before selling it to the customers
A. y = 2.2x
B. y = 0.8x
C. y = 1.2x
D. y = 1.02x
E. y = 0.02x
Answer:
.8x
Step-by-step explanation:
−3.64⋅|−5.3|−1.5^3
help pls
Answer:
5
Step-by-step explanation:
its 45
Answer:
-22.667
Step-by-step explanation:
-3.64(5.3) - (1.5)³
-19.292 - 3.375 = -22.667
1 3/4+1/6+____=7 1/2
Plz help
Answer:
7/4 +1/6 +X=15/2
1/6+X=15/2-7/4
1/6+X=30/4-7/4
X=23/4 - 1/6
X= 138-4/24
134/24
5.58333
Step-by-step explanation:
Answer:
6 4/12
Step-by-step explanation:
1 3/ 12+ 1/12 + 6 2/12 = 7 6/12 or 7 1/2
Evan has a loyalty card good for a discount at his local hardware store. The item he
wants to buy is priced at $14, before discount and tax. After the discount, and before
tax, the price is $11.76. Find the percent discount.
Answer:
14-11.76 = 2.24
2.24×100
14 = 16%
since, the discount percentage is 16%
The points (0,2), (1,3), (2,6), and (3,11) are on the graph of a function. Which of the following equations represents that function?
A.h(x)=x^2+2
B.h(x)=0.5x^2+1.5
C.h(x)=2x^2
D.h(x)=x+2
Given:
The points (0,2), (1,3), (2,6), and (3,11) are on the graph of a function.
To find:
The function.
Solution:
In option A,
[tex]h(x)=x^2+2[/tex]
Putting x=0, 1, 2, 3 respectively, we get
[tex]h(0)=(0)^2+2=2[/tex]
[tex]h(1)=(1)^2+2=3[/tex]
[tex]h(2)=(2)^2+2=6[/tex]
[tex]h(3)=(3)^2+2=11[/tex]
The function passes through the points (0,2), (1,3), (2,6), and (3,11). So, [tex]h(x)=x^2+2[/tex] is the required function.
In option B,
[tex]h(x)=0.5x^2+1.5[/tex]
At x=0,
[tex]h(0)=0.5(0)^2+1.5=1.5\neq 2[/tex]
So, option B is incorrect.
In option C,
[tex]h(x)=2x^2[/tex]
At x=0,
[tex]h(0)=2(0)^2=0\neq 2[/tex]
So, option C is incorrect.
In option D,
[tex]h(x)=x+2[/tex]
At x=2,
[tex]h(2)=(2)+2=4\neq 6[/tex]
So, option D is incorrect.
Therefore, the correct option is A.
On a large college campus, the students are able to get free copies of the school newspaper,the local newspaper, and a national paper. Ninety percent of the students read at least one of thepapers, 40% read only the school newspaper, 20% read only the local paper, 5% read only thenational paper, and 2% read all three papers. Fifty percent read the school newspaper, and 5%read the school and national newspapers. A randomly selected student is asked whether he orshe reads the school, local, or national paper. Express each of the following events in setnotation and find the percentage of students represented by each.a The student does not read any paper.b. The student reads the local paper.c. The student reads exactly two papers.d. The student reads at least two papers.
Answer:
a) The percentage that the student does not read any paper is 10%
b) The percentage that the student reads the local paper is 40%
c) the percentage that the student reads exactly two papers is 23%
d) the percentage that the student reads at least two papers is 25%
Step-by-step explanation:
Given the data in the question;
as illustrated in the Venn diagram below,
a)The student does not read any paper;
The percentage that the student does not read any paper will be;
100% - 90% = 10%
Therefore, The percentage that the student does not read any paper is 10%
b) The percentage that the student reads the local paper;
from the Venn diagram below;
⇒ ( 20 + 15 + 3 + 2 )%
= 40%
Therefore, The percentage that the student reads the local paper is 40%
c) The percentage that the student reads exactly two papers
⇒ ( 15 + 5 + 3 )%
= 23%
Therefore, the percentage that the student reads exactly two papers is 23%
d) The percentage that the student reads at least two papers;
⇒( 15 + 5 + 3 + 2 )%
= 25%
Therefore, the percentage that the student reads at least two papers is 25%
You might need:
Calculator
y
3+
2-
2
4 -3 -2
-1
1
2
-2
-3
What is the slope of the line?
Answer:
[tex]\displaystyle m=\frac{1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a Cartesian PlaneCoordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (5, 0)
Point (-4, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{-3-0}{-4-5}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-3}{-9}[/tex][Fraction] Simplify: [tex]\displaystyle m=\frac{1}{3}[/tex]y−34=414 what is the answer
Answer: y = 448
Step-by-step explanation: I’m just good
5. What is the second step in proving by mathematical induction that for every positive integer n, 11" - 6 is divisible by
5, is true?
Let n = k. Then assume that 11" - 6 is divisible by 5.
Let n = 1. Then assume that 111 - 6 is divisible by 5.
Let n = k. Then assume that 11k+1 – 6 is divisible by 5.
O Let n = (k + 1). Then assume that 11k - 6 is divisible by 5.
NEED THIS ASAP
NEED A EXAM DONE WILL PAY
Answer:
The correct answer is A:Let n = k. Then assume that 11" - 6 is divisible by 5. sorry if im wrong but if correct pls mark brainliest
Answer:
Step-by-step explanation:
Premise: If n is a positive integer, then 11ⁿ-6 is divisible by 5.
Let n=1.
11¹-6 = 5, so the premise is true for n=1.
Suppose the premise is true when n is an integer greater than 1,
then 11ⁿ-6 is divisible by 5.
11ⁿ⁺¹-6 = 11·11ⁿ - 6
= (10+1)11ⁿ - 6
= (10·11ⁿ) + (1·11ⁿ) - 6
= (10·11ⁿ) + (11ⁿ - 6)
Both terms are divisible by 5, so 11ⁿ⁺¹-6 is divisible by 5. Therefore, the premise holds true for n+1.
Proof by induction.
What is the slope of the line ?
Answer:
slope: 3/1.5
Step-by-step explanation:
You go up 3 and over 1 1/2 like its half then your gonna write 3/1.5
BRAINLIEST WILL BE GIVEN!! The budget for a school dance is $370.00. Decorations and refreshments cost $165.00. The band charges a fee of $100.00 plus an additional $35.00 per hours. What is the maximum number of hours the school can have the band play at the dance?
Answer:
3 hours
Step-by-step explanation:
Answer:
3 hours
Step-by-step explanation:
370-165=205
205-100=105
105/35=3
Help Me :^
What is the quotient?
~Negative StartFraction 3 over 8 EndFraction divided by negative one-fourth~
a. Negative 1 and one-half
b. Negative StartFraction 3 over 32 EndFraction
c. StartFraction 3 over 32 EndFraction
d. 1 and one-half
Answer:
d
Step-by-step explanation:
Dividing by a fraction is the same as multiplying by the reciprocal of the fraction.
Answer:
d madam
Step-by-step explanation:
edge 2021
PLEASE ANSWER THIS!!!
Answer:
the answer would be 85% bsjdjdmzmcnd
Answer:
75%
Step-by-step explanation:
Total Questions= 12
Answered Correctly= 9
%=9/12 x 100
%= 0.75 x 100
%= 75%
PLEASE MARK ME AS BRAINLIEST!!!!
HELP ME NOW ASAPPP UnU
Answer:
56.757 and if u divide it : 676.75
Step-by-step explanation:
uwu
so billy has 10 apples if he subtracts it by 6 then times it by 3 then divides it by 2 what does he get?
Answer:
6
Step-by-step explanation:
3 × (10 - 6) ÷ 2 =?
The strategy that we are using here is PEMDAS:
First, you subtract 6 from 10 which is 4. 10 - 6 =4
Next, you multiply 4 by 3. 4 × 3 = 12
Then, you divide 12 by 2. 12 ÷ 2 = 6
Your answer is 6.
Your welcome. Showed my work below.
14). Deconstruct to find the area of the figure below 10 ft. 14 ft.
Answer:
2.29*20 = 45.80 and 3.49*35 = 122.15.2.29*20 = 45.80 and 3.49*35 =
Step-by-step explanation:
Answer:
2.29*20 = 45.80 and 3.49*35 = 122.15.2.29*20 = 45.80 and 3.49*35 =
Step-by-step explanation:
Evaluate −6 − (−4). (10 point)
−10
−2
24
2
Answer: negative 2 (-2)
Step-by-step explanation:-6+4=-2
Answer:
−2
Step-by-step explanation:
−6 − (−4)
= −6 − (−4)
= −6 + 4
= −2
A certain forest covers an area of 1900 km2 . Suppose that each year this area decreases by 4.75% . What will the area be after 8 years? Use the calculator provided and round your answer to the nearest square kilometer.
Answer:
1000 klgram Sha bebe
And so many things I have to do whit a person do and every thing
Thank you
4. Find the value of x. 140° 150° 130° to Da) 110 b) 90 O c) 130 O d) 120
Answer:
D
Step-by-step explanation:
The sum of angles of an hexagon is [tex]4\cdot 180[/tex]°.
The question is in the jpg.
Need help with this please having a hard time with it
Answer:
6.28 m^2
Step-by-step explanation:
4^2 x Pi=area of full circle
45 degree segment =1/8 of a full circle
16x3.14159=50.27 m^2 area of full circle
50.27/8=6.28 m^2 area of 1/8 circle
Answer:
90 square meters
Step-by-step explanation:
Formula for sector area--- SECTOR AREA=r^2 a/2
*Multiply the central angle by the radius squared- 45×4=180squred meter
*then, Divide by 2- 180÷2=90
Subtract.
78.9−5.64 Pls help
Answer:
73.26
Step-by-step explanation:
I hope this helps :)
Answer:
73.26 is your answer.
Step-by-step explanation:
Luzia ran the 400-meter race 3 times. Her fastest time was 52.3 seconds. Her slowest time was 56.3 seconds. If Luzia’s average time was 54.0 seconds, what was her time for the third race?
Answer: 53.5 seconds
Step-by-step explanation:
cómo resolver sopa de números encontrando resultados de divisiones por ejemplo 436/2
Answer:
Lo resuelves como de costumbre :)
Step-by-step explanation:
Answer:
218
Step-by-step explanation:
An urn contains four dice. Two have faces numbered 1,2,3,4,5, and 6; one has faces numbered 2,2,4,4, 6 and 6; and one has all six faces numbered 6. One of the dice is randomly selected from the urn and rolled. The same die rolled a second time. Calculate the probability that a 6 is rolled both times ( hint Law of total probability) Group of answer choices
Answer:
21/72 = 0.2917 = 29.17% probability that a 6 is rolled both times
Step-by-step explanation:
Two have faces numbered 1,2,3,4,5, and 6
So for these two, each with 1/4 probability of being chosen, the probability of rolling two six is given by:
(1/6)^2 = 1/36
So
[tex]p_A = 2 \times \frac{1}{4} \times \frac{1}{36} = \frac{1}{72}[/tex]
One has faces numbered 2,2,4,4, 6 and 6;
The probability of rolling 2 faces six with this dice is:
(2/6)^2 = 4/36
This dice has 1/4 probability of being chosen. So
[tex]p_B = \frac{1}{4} \times \frac{4}{36} = \frac{1}{36}[/tex]
One has all six faces numbered 6.
The probabilityu of rolling two six is given by:
(6/6)^2 = 1^2 = 1
This dice has 1/4 probability of being chosen. So
[tex]p_C = \frac{1}{4} \times 1 = \frac{1}{4}[/tex]
Calculate the probability that a 6 is rolled both times
[tex]p = p_A + p_B + p_C = \frac{1}{72} + \frac{1}{36} + \frac{1}{4} = \frac{1 + 2 + 18}{72} = \frac{21}{72}[/tex]
21/72 = 0.2917 = 29.17% probability that a 6 is rolled both times
4) -3x – 2y = -17
9x + 2y = 23
A) (1,7)
B) (10, 7)
C) (5, 7) D) (-7,7)
Answer:
A). (1, 7)
Step-by-step explanation:
-3x – 2y = -17
9x + 2y = 23
____________+
6x = 6
x = 6/6
x = 1
9x + 2y = 23
9(1) + 2y = 23
9 + 2y = 23
2y = 23 - 9
2y = 14
y = 14/2
y = 7