Answer:
a
[tex]P(X \ge 1) = 0.509 [/tex]
b
[tex]P(X \ge 1) = 0.6807 [/tex]
Step-by-step explanation:
From the question we are told that
The number of students in the class is N = 20 (This is the population )
The number of student that will cheat is k = 3
The number of students that he is focused on is n = 4
Generally the probability distribution that defines this question is the Hyper geometrically distributed because four students are focused on without replacing them in the class (i.e in the generally population) and population contains exactly three student that will cheat.
Generally probability mass function is mathematically represented as
[tex]P(X = x) = \frac{^{k}C_x * ^{N-k}C_{n-x}}{^{N}C_n}[/tex]
Here C stands for combination , hence we will be making use of the combination functionality in our calculators
Generally the that he finds at least one of the students cheating when he focus his attention on four randomly chosen students during the exam is mathematically represented as
[tex]P(X \ge 1) = 1 - P(X \le 0)[/tex]
Here
[tex]P(X \le 0) = \frac{ ^{3} C_0 * ^{20 - 3} C_{4- 0}}{ ^{20}C_4}[/tex]
[tex]P(X \le 0) = \frac{ ^{3} C_0 * ^{17} C_{4}}{ ^{20}C_4}[/tex]
[tex]P(X \le 0) = \frac{ 1 * 2380}{ 4845}[/tex]
[tex]P(X \le 0) = 0.491[/tex]
Hence
[tex]P(X \ge 1) = 1 - 0.491[/tex]
[tex]P(X \ge 1) = 0.509 [/tex]
Generally the that he finds at least one of the students cheating when he focus his attention on six randomly chosen students during the exam is mathematically represented as
[tex]P(X \ge 1) = 1 - P(X \le 0)[/tex]
[tex]P(X \ge 1) =1- [ \frac{^{k}C_x * ^{N-k}C_{n-x}}{^{N}C_n}] [/tex]
Here n = 6
So
[tex]P(X \ge 1) =1- [ \frac{^{3}C_0 * ^{20 -3}C_{6-0}}{^{20}C_6}] [/tex]
[tex]P(X \ge 1) =1- [ \frac{^{3}C_0 * ^{17}C_{6}}{^{20}C_6}] [/tex]
[tex]P(X \ge 1) =1- [ \frac{1 * 12376}{38760}] [/tex]
[tex]P(X \ge 1) =1- 0.3193 [/tex]
[tex]P(X \ge 1) = 0.6807 [/tex]
Simplify 2k^8×3k^3
Answer:
[tex]6k^{11}[/tex]
I hope this helps!
Answer:
6 k^ 11
Step-by-step explanation:
2k^8×3k^3
2*3 * k^8 * k^3
6 * k^8 * k^3
When multiplying exponents with the same base, we can add the exponents
6 k^( 8+3)
6 k^ 11
Select the correct answer.
A recent survey reported that 9.7% of Virginia's population worked in the construction industry. Which is equivalent to 9.7%?
Question 8 options:
970
97
0.97
0.097
Answer:
0.097
Step-by-step explanation:
An organization has members who possess IQs in the top 4% of the population. If IQs are normally distributed, with a mean of 100 and a standard deviation of 15, what is the minimum IQ required for admission into the organization?
• Use Excel, and round your answer to the nearest integer.
Provide your answer below:________.
Answer:
The minimum IQ score will be "126".
Step-by-step explanation:
The given values are:
Mean
[tex]\mu = 100[/tex]
Standard deviation
[tex]\sigma=15[/tex]
Now,
⇒ [tex]P(z>x)=4 \ percent \ i.e., 0.04[/tex]
⇒ [tex]P(z>\frac{x- \mu}{\sigma} )=0.04[/tex]
⇒ [tex]1-P(z \leq \frac{x-100}{15})=0.04[/tex]
⇒ [tex]\frac{x-100}{15}=z0.96[/tex]
[tex]=NORMDIS(z=0.96)[/tex]
[tex]=1.751[/tex]
⇒ [tex]x=100+15\times 1.751[/tex]
[tex]=126.265 \ i.e., 126[/tex]
question 8 i mark as brainliest
Answer:
195 tickets
Step-by-step explanation:
If the dance teacher spent the whole budget, then that means you can just divide the budget by the cost of tickets:
5,460 / 28, which is 195 tickets.
(1) Kareem pumped 28 gallons of water in her pool.This was done over a period of 4 minutes at a constant rate. What was the change in the amount of water in the pool each minute?
Answer:
7 Gallons of water get pumped into the pool every minute.
Step-by-step explanation:
28 Divided by 4= 7 so it is 7 gallons per min.
Hello tell me a result of a mathematical problem porfa is if pedro is 109 and Angela has 5,000 how much do they have in total?
Answer:
5,109
Step-by-step explanation:
:) please give brainliest
The temperature rose by 3°C. Suppose it fell from -2°C to -10°C. Predict whether the change in temperature would be positive or negative.
Answer:
Probably negative.
Step-by-step explanation:
It fell 8 degrees celsius. That's a lot!
20 penguins on a ice berg 9 jump in the water 8 move to a island how many are left on the ice berg
Answer:
3
Step-by-step explanation:
20-9=11
11-8=3
3 is the final answer
Need for a test !!!!!!!!!!
You have 37.72 g of a material. What volume would this sample occupy if the material has the density listed below? *
5.55 g/cm^3
Answer:
6.79cm^3Step-by-step explanation:
Given data
mass m=37.72g
density=5.55 g/cm^3
volume v=?
We know that density is
density = mass/volume
Substituting into the expression we have
5.55 g/cm^3=37.72/v
cross multiply we have
5.55v=37.72
v=37.72/5.55
v=6.79cm^3
582 x 23 ≈ __________ x __________ = 12,000
can someone please help me with this math problem
Answer:
600 x 20 = 12000
Step-by-step explanation:
582 rounds to 600, and 23 rounds to 20.
The equation said the answer was equal to 12,000 and 600 multiplied by 20 equals 12,000.
Which expression is equivalent to
(2x4y)3
2x7y4
2x12y3
8x7y4
8x12y3
Answer:
D
Step-by-step explanation:
Already did it.
Susan read 40 pages of a novel in 80 minutes. How long will it take her to read 210 pages of the novel?
Answer: It will take Susan 420 minutes to read 210 pages of her novel.
Two student clubs plan to share a bus on a trip to the capital.Transportation and lunch for one day is 12 bucks per student.One club has 25 members and the other club has 18 members.What is the total cost of the trip
Answer:
516
Step-by-step explanation:
add 25 and 18 and you get 43 students if you have to pay 12 for every student you'd have to multiply 43 × 12 = 516 so the trip would be 516 in total
THIS IS DUE TODAY! PLEASE ANSWER!: Find the value of 'X' in the triangle below
Answer:
Step-by-step explanation:
First find the angle in the lower left.
180 - 100 = 80
3x + 2x + 80 = 360
solve for x
5x = 280
5x/5 = 280/ 5
x = 56
Plug this in to make sure the equation is true
3(56) + 2(56) + 80 = 360
168 + 112 + 80 = 360
360 =360
Therefore x = 56
Bill was looking through a microscope. He called Sue over to tell her what he saw. He showed her a cell wall, nucleus, mitochondria, and chloroplast. What type of cell was he looking at?
A. Prokaryotic cell B. Plant cell
C. Animal cell
D. Red blood cell
Answer:
B. Plant cell
Step-by-step explanation:
Prokaryotic cells do not contain an enclosed nucleus or chloroplast
Red blood cells do not contain chloroplast
Animal cells do not contain chloroplast
In a school auditorium there are 33 seats in each row of seats how many rows are needed for 528. Students to each have a seat
Answer:
16
Step-by-step explanation:
just divide 528 by 33
3. Find the slope of the line described by the equation.
5x = 90 – 9y
Answer
x= -9y/5 +18
y= -5x/9 +10
Step-by-step explanation:
Step-by-step explanation:
5x=90-9y
9y=-5x+90
y= (-5/9)x+10
Slope= -5/9
Un paracaidista que pesa 70 N es lanzado de un avión. halla su masa
Answer:
La masa del paracaidista es 7.14 Kg
Step-by-step explanation:
Peso y Masa
La masa de un objeto es una medida de la cantidad de material que el objeto posee. Sus unidades más comunes son el Kg, gr, lb, Ton.
El peso de un objeto de masa m es la fuerza con la cual la Tierra atrae al objeto a través de la aceleración de gravedad g. Sus unidades son iguales a las de cualquier fuerza, es decir, Nw, Kgf, Dina. Su fórmula es:
P=m.g
Si tenemos el peso P=70 N, podemos calcular la masa, despejándola de la fórmula:
[tex]\displaystyle m=\frac{P}{g}[/tex]
Sustituyendo los valores:
[tex]\displaystyle m=\frac{70}{9.8}=7.14\ Kg[/tex]
La masa del paracaidista es 7.14 Kg
To determine the number of trout in a lake, a conservationist catches 174 trout, tags them and throws them back into the lake. Later, 22 trout are caught; 11 of them are tagged. How many trout would the conservationist expect to be in the lake?
Answer:
348 trouts in the lake
Step-by-step explanation:
Since this is basically a ratio problem and we are given three values we can use the rule of three to solve for the missing variable which would be the total amount of trouts in the lake. To do so we multiply the total amount trouts tagged by the number of trouts caught later. Then we multiply that product by the amount that were found to be tagged later.
22 total trouts caught later <=========> 11 trouts were tagged
x total trouts <=========> 174 trouts tagged
(174 * 22) / 11 = 348 total trouts in the lake
Finally, we can see that the conservationist would expect there to be around 348 trouts in the lake.
4Flaming Hoop Jump of Awesome Daredevil Danny attempts the feat of jumping his motorcycle through the Flaming Hoop Jump of Awesome. In order for Daredevil Danny to pass through the hoop, he will need a safe path to travel. Let’s explore the parabolic trajectory that he will need for a safe journey. Directions Complete each of the following tasks, reading the directions carefully as you go. Be sure to show all work where indicated, including inserting images of graphs. Be sure that all graphs or screenshots include appropriate information such as titles, labeled axes, etc. If your word processing program has an equation editor, you can insert your equations here. Otherwise, print this activity sheet and write your answers by hand. In addition to the answers you determine, you will be graded based on the work you show, or your solution process. So, be sure to show all your work and answer each question as you complete the task. Type all your work into this document so you can submit it to your teacher for a grade. You will be given partial credit based on the work you show and the completeness and accuracy of your explanations. Your teacher will give you further directions about how to submit your work. You may be asked to upload the document, e-mail it to your teacher, or print it and hand in a hard copy. Now, let’s get started! Step 1: Analyze the graph. Daredevil Danny takes a practice jump as shown on the graph below. Complete the steps to determine the equation for the parabolic trajectory of his practice jump. a) What are the key aspects of any parabola? What do the key aspects tell you about the graph? (5 points) b) What are the key aspects of Daredevil Danny’s practice jump shown in the graph provided? Describe each value and how it is determined. (10 points) Step 2: Solve for coefficient a. a) What equation is used to find the vertex form of a parabola with the vertex (h, k)? (5 points) b) Solve for the coefficient a in the vertex form for the parabola in Daredevil Danny’s practice jump using key aspects from step 1. As you solve for the coefficient, explain each step of the process in detail. (15 points) c) What is the vertex form of the parabola from Daredevil Danny’s practice jump? (5 points) Step 3: Change from vertex form to standard form. To get Daredevil Danny through the Flaming Hoop Jump of Awesome, you will need to know the values of a, b, and c, which are the coefficients of the quadratic equation in standard form. a) What is the equation for a parabola in standard form? (5 points) b) Describe how to convert from vertex form to standard form. (10 points c) Convert the vertex form of the equation you wrote above to standard form. (10 points) d) What are the values for coefficients a, b, and c in the quadratic equation for Daredevil Danny’s practice jump? (5 points) Step 4: Calculate the equation for the flaming hoop jump. Using the same method for the practice jump, write the standard form of the equation that will get Daredevil Danny safely through the Flaming Hoop Jump of Awesome! a) Write the vertex form by substituting in values for x, y, h, and k, and then solve for a. Show your work. (10 points) b) Determine the values of a, b, and c. Show your work. (10 points) c) Using your values of a, b, and c, did Daredevil Danny successfully pass through the Flaming Hoop Jump of Awesome? If not, describe what happened. Then, go back to critique your work and revise it. Write about your revision. (5 points) d) Once you have determined the correct values of a, b, and c, verify algebraically that Daredevil Danny will successfully pass through the Flaming Hoop Jump of Awesome. (5 points)
Answer:
Flaming Hoop Jump of Awesome
Roslyn Bertley
Q : A) What are the key aspects of any parabola? What do the key aspects tell you about the graph?
A : It goes up to its max point and comes down. The max point is 32 and how far it went was from 15 to 35
Q : A) What are the key aspects of Daredevil Danny’s practice jump shown in the graph provided? Describe each value and how it is determined.
A : Its a standard form graph , and Danny needs to figure out the speed he is ganna go and the its angle
Step 2: Solve for coefficient a.
Q : A) What equation is used to find the vertex form of a parabola with the vertex (h, k)?
A : F(x)=ax2+bx+c
Q : b) Solve for the coefficient a in the vertex form for the parabola in Daredevil Danny’s practice jump using key aspects from step 1. As you solve for the coefficient, explain each step of the process in detail.
A : The picture lets us know that the equation of a vertical parabola in vertex form is given by wher A is the leading coefficient. (h,k) is the vertex. looking at the graph we have a vertical paraboola opening downward . The vertex is a maximum The vertex is the point (25.32) substitute in the equation
Q : c) What is the vertex form of the parabola from Daredevil Danny’s practice jump?
f(x)=-12/25(x-25)^2+32
Step 3: Change from vertex form to standard form.
Q : a) What is the equation for a parabola in standard form?
A : y = ax^2 + bx + ct
b) Convert the vertex form of the equation you wrote above to standard form.
f(x)= -0.48xˆ2+24x-268
c) What are the values for coefficients a, b, and c in the quadratic equation for Daredevil Danny’s practice jump?
Step-by-step explanation:
that’s all i got
HELP ASAP GIVING BRAINLIEST AND 11 POINTS PLS HELP!!!!!! THANK U SM HOWEVER HELPS IT MEANS A LOT AND ITS DUE IN 20 MINS PLS HURRY AND TYSM AGAIN
Answer:
Slope= 2 / 10 = 1 / 5 = 0.2
y-intercept= (0, -4/5) or (0, -0.8)
Step-by-step explanation:
Find the x- and y-intercepts of the graph of the linear equation −4x+3y=−30
Answer:
y-int = -10, x-int = 15/2
Step-by-step explanation:
y int:
-4(0)+3y=-30
3y=-30
y=-10
x int:
-4x+3(0)=-30
-4x=-30
x=30/4=15/2
What’s this formula used to calculate?
Answer : definitely sampling error
STUCK AGAIN PLEASE HELP !
-18,762=-3z-540
Answer:
z = 6074
Step-by-step explanation:
-18762 = -3z - 540
-3z = -18762 + 540
-3z = -18,222
z = 6074
Answer:
Your answer is: ↓
Step-by-step explanation:
Hope this helped : )
Write the number in
standard form
6 tens+7=
Answer:
67
Step-by-step explanation:
Y=2.25 +1.75(x-1) rate of change
Answer:
I think its -2/7
Step-by-step explanation:
if I'm wrong I'm sorry
can someone please help me
Answer:
Multiply 7 by 3.
Step-by-step explanation:
In PEMDAS, parenthesis, exponents, multiply, divide, addition, subtratcion, you start with parenthesis first. Then you look inside the parenthesis, and ythere is no division problems. So you do the multiplication inside the parenthesis.
jessica edits the school year book she says that the dimensions of the student photo are proportional to the dimensions of the small photo medium photos large photos found throughout the year book. is she correct explain your reasoning.
9514 1404 393
Answer:
no
Step-by-step explanation:
The ratio of width to height for the different photos are ...
student: 1 : 3/2 = (2/2):(3/2) = 2 : 3
small: 2 : 5/2 = (4/2):(5/2) = 4 : 5
medium: 4 : 5 . . . (same as small)
large: 8 : 10 = 4 : 5 . . . (same as small and medium)
The small, medium, and large photos all have proportional dimensions, but those are not proportional to the dimensions of the student photo.
10 points if you answer
Answer:
tbh i think it b or c
Step-by-step explanation:
i domnt really know about slope that well but i think it is c
Answer:
i think it is a
Step-by-step explanation:
Solve for x. 3(2x - 3) + 3 = 24
Answer:
[tex] \huge{ \bold{ \boxed{ \tt{x = 5}}}}[/tex]
Step-by-step explanation:
[tex] \text{3(2x - 3) + 3 = 24}[/tex]
[tex] \text{Step \: 1 \: : \: Distribute \: 3 \: through \: the \: parentheses\: }[/tex]
[tex] \text{ ➳\: 3 * \: 2x - 3 * 3 + 3 = 24}[/tex]
[tex] \text{➳ \: 6x - 9 + 3 = 24}[/tex]
[tex] \text{Step \: 2 : \: Subtract \: 3 \: from \: 9}[/tex]
[tex] \text{➳ \: 6x - 6 = 24}[/tex]
[tex] \text{Step \: 3 : Add \:6 \: on \: both \: sides}[/tex]
[tex] \text{➳ \: 6x - 6 + 6 = 24 + 6}[/tex]
[tex] \text{➳ \: 6x = \: 30}[/tex]
[tex] \text{Step \: 4 : Divide \: both \: sides \: by \: 6}[/tex]
[tex] \text{➳ 6x / \: 6 \: = \: 30/ \: 6}[/tex]
[tex] \text{➳ \: x = 5}[/tex]
[tex] \text{The \: value \: of \: x \: is \: 5}[/tex]
[tex] \text{Hope \: I \: helped!}[/tex]
[tex] \text{Best \: regards!}[/tex]
~[tex] \text{TheAnimeGirl}[/tex]
