Answers
Answer:
9 is the answer
Related Questions
A student takes a multiple-choice test that has 10 questions. Each question has four choices. The student guesses randomly at each answer. Let X be the number of questions the student gets correct. (a) Find P(X = 3). (b) Find P(X > 2). (c) To pass the test, the student must answer 7 or more questions correctly. Would it be unusual for the student to pass? Explain.
Answers
Answer:
1)0.2502
2)0.475
3)0.003505
Step-by-step explanation:
Total No. of question n= 10
There are four choices in each question
So, Probability of success [tex]p = \frac{1}{4}[/tex]
Probability of failure q = [tex]1- \frac{1}{4}=\frac{3}{4}[/tex]
We will use binomial over here
[tex]P(X=x)=^nC_r p^r q^{n-r}[/tex]
1)
[tex]P(X = 3)=^{10}C_3 (\frac{1}{4})^3 (\frac{3}{4})^7\\P(X = 3)=\frac{10!}{3!7!} (\frac{1}{4})^3 (\frac{3}{4})^7\\P(X = 3)=0.2502[/tex]
2) [tex]P(X > 2)=1-P(X\leq 2)[/tex]
P(X>2)=1-(P(X=0)+P(X=1)+P(X=2))
[tex]P(X>2)=1-(^{10}C_0 (\frac{1}{4})^0 (\frac{3}{4})^{10}+(^{10}C_1 (\frac{1}{4})^1 (\frac{3}{4})^9+^{10}C_2 (\frac{1}{4})^2 (\frac{3}{4})^8)[/tex]
[tex]P(X>2)=1-((\frac{1}{4})^0 (\frac{3}{4})^{10}+(\frac{10!}{1!9!} (\frac{1}{4})^1 (\frac{3}{4})^9+\frac{10!}{2!8!} (\frac{1}{4})^2 (\frac{3}{4})^8)[/tex]
P(X>2)=0.475
3)
[tex]P(X\geq 7)=P(X=7)+P(X=8)+P(X=9)+P(X=10)\\\\P(X\geq 7)=^{10}C_7 (\frac{1}{4})^7 (\frac{3}{4})^{3}+(^{10}C_8 (\frac{1}{4})^8 (\frac{3}{4})^2+^{10}C_9 (\frac{1}{4})^9 (\frac{3}{4})^1+^{10}C_{10} (\frac{1}{4})^{10} (\frac{3}{4})^0\\\\P(X\geq 7)=\frac{10!}{7!3!} (\frac{1}{4})^7 (\frac{3}{4})^{3}+\frac{10!}{8!2!} (\frac{1}{4})^8 (\frac{3}{4})^2+\frac{10!}{9!1!} (\frac{1}{4})^9 (\frac{3}{4})^1+\frac{10!}{10!0!}(\frac{1}{4})^{10} (\frac{3}{4})^0\\\\P(X\geq 7)=0.003505[/tex]
Suppose the equation of line t is y = x. Which shows the graph of A'B'C' for Rt?
Answers
Answer:
A'(1, -1), B'(-1, 1), C'(-1, -1)
Step-by-step explanation:
Coordinates of the vertices of the given triangle ABC are,
A(-1, 1), B(1, -1), C(-3, -1)
We have to find the new coordinates of these vertices after reflection across y = x,
Rule for the reflection of a point across a line, (y = x) is,
(x, y) → (y, x)
Following the given rule of transformation,
A(-1, 1) → A'(1, -1)
B(1, -1) → B'(-1, 1)
C(-3, -1) → C'(-1, -3)
What is 1.6 + 4x > 14.
Answers
Answer:
Simplifying
1.6 + 4x = 14
Solving
1.6 + 4x = 14
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1.6' to each side of the equation.
1.6 + -1.6 + 4x = 14 + -1.6
Combine like terms: 1.6 + -1.6 = 0.0
0.0 + 4x = 14 + -1.6
4x = 14 + -1.6
Combine like terms: 14 + -1.6 = 12.4
4x = 12.4
Divide each side by '4'.
x = 3.1
Simplifying
x = 3.1
Step-by-step explanation:
Juan’s cell phone company charges $35 a month for phone service with limited data for every gigabyte of data overage the company charges $15 write an equation that represents how many gigabytes one goes over in a month if his bill was $110
Answers
Answer:15x+35=110
Step-by-step explanation:
If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square. For the uniform electric field normal to the surface, the flux through the surface is____________the area of this surface. Therefore, Φsquare is ________ ϕcircle .
Answers
Answer:
The area of this circle is [tex](\frac{\pi}{2} )[/tex] the area of the square.
For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.
Therefore, Φsquare is [tex](\frac{2}{\pi} )[/tex] ϕcircle
Step-by-step explanation:
Area of the circle is given by;
[tex]A_c = \frac{\pi d^2}{4}[/tex]
Area of the square is given by;
[tex]A_s = L^2[/tex]
relationship between the edge length of the square, d, and length of its side, L,
[tex]d = \sqrt{L^2 + L^2} \\\\d = \sqrt{2L^2}[/tex]
But area of the square , [tex]A_s = L^2[/tex]
[tex]d = \sqrt{2A_s}[/tex]
Then, the area of the square in terms of the edge length is given by;
[tex]A_s = \frac{d^2}{2}[/tex]
Area of the circle in terms of area of the square is given by;
[tex]A_c = \frac{\pi d^2}{4} = \frac{\pi}{2}(\frac{d^2}{2} )\\\\But \ A_s = \frac{d^2}{2} \\\\A_c = \frac{\pi}{2}(\frac{d^2}{2} )\\\\A_c = \frac{\pi}{2}(A_s )[/tex]
For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.
Ф = E.A
Flux through the surface of the circle is given by;
[tex]\phi _{circle} = E.(\frac{\pi d^2}{4})[/tex]
Flux through the surface of the square is given by;
[tex]\phi _{square} = E.(\frac{d^2}{2} )\\\\\phi _{square} =E.(\frac{d^2}{2} ).(\frac{\pi}{2} ).(\frac{2}{\pi} )\\\\\phi _{square} =E.(\frac{\pi d^2}{4} ).(\frac{2}{\pi} )\\\\\phi _{square} =(\phi _{circle}).(\frac{2}{\pi} )[/tex]
Therefore, Φsquare is [tex](\frac{2}{\pi} )[/tex] ϕcircle
If the circle has the same diameter as the edge length of the square, then the area of this circle is [tex]\rm \dfrac{\pi }{2}[/tex] the area of the square
The uniform electric field is normal to the surface, the flux through the surface is the electric field multiplied by the area of this surface.
Φsquare is [tex]\dfrac{2}{\pi}[/tex] ϕcircle
Given
If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square
For the uniform electric field normal to the surface, the flux through the surface is____________the area of this surface.
Therefore, Φsquare is ________ ϕcircle .
1. If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square.
The area of the circle is;
[tex]\rm Area \ of \ circle = \dfrac{\pi d^2}{4}[/tex]
The area of the square is;
[tex]\rm Area \ of \ square = a^2[/tex]
The relationship between the edge length of the square, d, and length of its side a is;
[tex]\rm d = \sqrt{a^2+a^2}\\\\d = \sqrt{2a^2}\\\\d = \sqrt{2} a[/tex]
The area of the circle in terms of the area of the square is;
[tex]\rm Area \ of \ circle = \dfrac{\pi }{2} \ Area \ of \ square[/tex]
If the circle has the same diameter as the edge length of the square, then the area of this circle is [tex]\rm \dfrac{\pi }{2}[/tex] the area of the square.
2. The uniform electric field is normal to the surface, the flux through the surface is the electric field multiplied by the area of this surface.
Ф = E.A
3. Flux through the surface of the circle is given by;
[tex]= \rm E\dfrac{\pi d^2}{4}\\\\=\dfrac{2}{\pi }[/tex]
To know more about Flux click the link given below.
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2x2 + x + 5 = 0 i don’t know how to do this please help
Answers
9514 1404 393
Answer:
x = -0.25+√2.4375i or -0.25-√2.4375i
Step-by-step explanation:
The quadratic formula works for this. The quadratic equation ...
ax² +bx +c = 0
has solutions given by the quadratic formula:
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Your equation ...
2x² +x +5 = 0
has coefficients a=2, b=1, c=5, so the quadratic formula tells you the solutions are ...
[tex]x=\dfrac{-1\pm\sqrt{1^2-4\cdot2\cdot5}}{2\cdot2}=\dfrac{-1\pm\sqrt{-39}}{4}\\\\x=\left\{-\dfrac{1}{4}+\dfrac{\sqrt{39}}{4}i, -\dfrac{1}{4}-\dfrac{\sqrt{39}}{4}i\right\}[/tex]
The decimal equivalents are ...
x = -0.25+√2.4375i or -0.25-√2.4375i . . . . . . the 'i' is outside the radical
If a1=2 and an=an-1+5 then whats the value of a5
Answers
Answer:
a5=10
Step-by-step explanation:
a1=2 a2=4 a3=6 a4=8 a5=10
The value of the 5th term of the arithmetic sequence will be 22.
What is an arithmetic sequence?A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.
The value of the first term is 2. Then the value of the 5th term is calculated as,
a₂ = a₁ + 5
a₂ = 2 + 5
a₂ = 7
a₃ = a₂ + 5
a₃ = 7 + 5
a₃ = 12
a₄ = a₃ + 5
a₄ = 12 + 5
a₄ = 17
a₅ = a₄ + 5
a₅ = 17 + 5
a₅ = 22
More about the arithmetic sequence link is given below.
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help me idk what it is
Answers
the answer is the bottom one on the first row
4, 7, 8, 10, 11, 13, 15, 15, 22, 28 is the data set in order.
By finding the median, it would be 12, since 11+13=24/2=12
The first quartile would be 8, because between 4-11, 8 is in the middle
Then the third quartile would be 15, repeating the same process except with 13-28
So basically the answer is the top right choice. With a median of 12, first quartile 8, third quartile 15
which represents 8(95) using the distributive property to simplify
Answers
Answer:
8*90 + 8*9 = 760
Step-by-step explanation:
Because, 8(95) just means 8 times 95 so you just distribute 8 to 90 and 5.
40,984 rounded to the nearest ten thousand
Answers
Hi friend! Hope this helps!
40,000.
A particle travels along the x axis such that it’s position at time t is given by the function x(t)=2t+t. What is the average speed of this particle over the interval 2
Answers
The required average speed of this particle over interval 2 is less than or equal to t which is less than or equal to 10 is 32 meters/second.
Given that,
A particle travels along the x-axis such that its position at time t is given by,
Function; [tex]\rm x(t)=2t^2+t[/tex]
We have to find,
What is the average speed of this particle over interval 2 is less than or equal to t which is less than or equal to 10?
According to the question,
The position of the particle is given by,
[tex]\rm x(t)=2t^2+t[/tex]
The average speed of this particle is determined by differentiating the function with respect to x,
[tex]\rm \dfrac{dx}{dt} = \dfrac{d(2t^2+t)}{dx}\\\\\dfrac{dx}{dt} = 4t + 1 \\\\v(t) = 4t+1[/tex]
Then,
The average speed of the particle over interval 2 is,
[tex]\rm v(t) = 4t+1 \\\\v(2) = 4(2)+1\\\\v(2) = 8+1 \\\\v(2) = 9 \ meter \ per \ second[/tex]
And the average speed of the particle over interval 10 is,
[tex]\rm v(t) = 4t+1 \\\\v(10) = 4(10)+1\\\\v(10) = 40+1 \\\\v(10) = 41 \ meter \ per \ second[/tex]
Therefore,
The average speed of this particle over interval 2 is less than or equal to t which is less than or equal to 10 is,
[tex]\rm v(t) = v(10)-v(2)\\\\v(t) = 41-9\\\\v(t)= 32 \ meter \ per \ second[/tex]
Hence, The required average speed of this particle over interval 2 is less than or equal to t which is less than or equal to 10 is 32 meters/second.
For more details refer to the link given below.
https://brainly.com/question/2292357
Answer:
Very basically, the answer is 3
Step-by-step explanation:
Know this cause Edge 2023
4. A model of a skyscraper is made so that 1 inch represents 75 feet. What is the height of the actual building if the height of the model is 18 3/5 inches?
5. The portrait company that takes little league baseball team photos is offering an option where a portrait of your baseball pose can be enlarged to be used as a wall decal (sticker). Your height in the portrait measures 3 1/2 inches. If the company uses a scale where 1 inch on the portrait represents 20 inches on the wall decal, find the height on the wall decal. Your actual height is 55 inches. If you stand next to the wall decal, will it be larger or smaller than you?
6. The sponsor of a 5K run/walk for charity wishes to create a stamp of its billboard to commemorate the event. If the sponsor uses a scale where 1 inch represents 4 feet, and the billboard is a rectangle with a width of 14 feet and a length of 48 feet, what will be the shape and size of the stamp?
7. Danielle is creating a scale drawing of her room. The rectangular room measures 20 1/2 ft. by 25 ft. If her drawing uses the scale where 1 inch represents 2 feet of the actual room, will her drawing fit on an 8 1/2 in. by 11 in. piece of paper?
.
Answers
I am going to have to go with answer A
Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is of a mile long. On Monday, Selma ran the loop in of an hour. What is Selma’s unit rate in miles per hour for Monday’s run?
In this activity, you will use the common denominator method to calculate a unit rate that involves fractions. Answer the questions that follow to calculate Selma’s unit rate in miles per hour.
part A. According to the question, the unit rate is to be expressed in which units?
Part B. Now, write Selma’s jogging rate as a complex fraction. A complex fraction is one whose numerator, denominator, or both are fractions. Be sure to include units in your answer.
Part C. Find the least common denominator of the two fractions from part B. To do this, list and compare the first five multiples of the denominators. The smallest number that appears in both lists is the least common denominator. Show your work.
Part D. Rewr
Answers
Complete question :
Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is 3/4 of a mile long. On Monday, Selma ran the loop in 1/6 of an hour. What is Selma's unit rate in miles per hour for Monday's run?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Length of trail = 3/4 of a mile.
Time taken = 1/6 of an hour
A) unit rate will be expressed in:
Length of trail = miles
Time taken. = hour
= miles per hour (mph)
B) Jogging rate :
Length of trail / time taken
3/4 miles ÷ 1/6 hour
3/4 * 6/1
18/4 = 4 2/4 = 4 1/2
Answer:
3/4/3/6 miles per hour
Which expression is equivalent to |-5| + |-3|
Answers
Answer:
5+3
Step-by-step explanation:
5+3
Answer:
5+3=8
Step-by-step explanation:
PlSSSSSS HELP multiple choice
Answers
can anyone help with the vertical angles
Answers
Answer:
a
Step-by-step explanation:
do the ones that are congruent and right in front of eachother
[tex]\angle JLK \ \ \& \ \ \angle MLN\\\\\angle JLM \ \ \& \ \ \angle KLN[/tex]
See the diagram below. I've marked the angles in question using different colors. Angles JLK and MLN are in red. Angles JLM and KLN are in blue.
Vertical angles are opposite one another when we have an X shape like this. Vertical angles are always congruent.
Calculate a point estimate of the mean pull-off force of all connectors in the population (Round the answer to four decimal places (e.g. 90.2353).) g
Answers
Answer:
The answer is "75.627"
Step-by-step explanation:
Please find the correct question in the attached file.
The mean displacement force among all connectors throughout the population calculates the point estimation.
[tex]\bold{ \bar x= \frac{\text{Sum of observation}}{\text{Amount of observations}}}[/tex]
[tex]= \frac{1966.88}{26}\\\\=75.627[/tex]
A cylinder has a height of 20 inches and a diameter of 18 inches.
Find the surface area in terms of straight pi
Answers
Answer:
1639.91
Step-by-step explanation:
to work out surface area of a cylinder u do
A=2πrh+2πr2
hope this helps :)
I need help on this I will give brainlist help it will mean a lot this is my last math problem help me!
Answers
Answer:
the second one
Step-by-step explanation:
i did it in my head and double checked :)
Answer:
Store Z has the best sale price of $28
Step-by-step explanation:
Starting Price = $35
Store X offers 15% off = only 5.25$ off (0.15 * 35 = 5.25, 35 - 5.25 = 29.75) Final Price = $29.75
Store Y offers $5 off = only 5$ off (35 - 5 = 30) Finaly Price = $30
Store Z offers 1/5 off = only 7$ off (1/5 = 0.20, 0.20 * 35 = 7, 35 - 7 = 28) Final Price = $28 (BEST PRICE)
I need help please help me out .
Answers
If adult females are randomly selected, find the probability that they have pulse rates with a mean between 70beats per minute and 82beats per minute.
Answers
This question is incomplete.
Complete Question
Assume that females have pulse rates that are normally distributed with a mean of u = 76.0 beats per minute and a standard deviation of 12.5 beats per minute. If 1 adult female is randomly selected, find the probability that her pulse rate is between 70 beats per minute and 82 beats per minute. The probability is (Round to four decimal places as needed.)
Answer:
0.3688
Step-by-step explanation:
The formula for calculating a z-score when given a random sample of numbers is is z = (x-μ)/σ/√n
where x is the raw score,
μ is the population mean, and
σ is the population standard deviation.
mean = 76.0 beats per minute and a standard deviation = 12.5 beats per minute.
n = number of random samples = 1
For 70 beats per minute
z = 70 - 76/12.5/√1
z = -0.48
Probability value from Z-Table:
P(x = 70) = 0.31561
For 82 beats per minute.
z = 82 - 76/12.5/√1
z = 0.48
Probability value from Z-Table:
P(x = 82) = 0.68439
The probability that her pulse rate is between 70 beats per minute and 82 beats per minute.
P(x = 82) - P(x = 70)
0.68439 - 0.31561
= 0.36878
≈ 0.3688
An object is moving at a speed of 2 feet every 8.5 minutes. Express this speed in meters per hour.
Answers
Answer:
67 meters per hour
Step-by-step explanation: becasue i need pints
Mackenzie has one candy bar to share equally with her best friend. What portion of the candy bar does Mackenzie give to her best friend.
Answers
Answer:1/2
Step-by-step explanation:
Answer: 1/2
Step-by-step explanation: if each of you get part of the candy bar and you need to share it equally, both of you get 1/2 of it.
Which figure represents the image of parallelogram LMNP after a reflection across the line y = x?
Answers
From the diagram:
L(3,1), M(4,3), N(5,3) and P(4,1).
Using the reflection rule, you can find coordinates of image points:
L'(1,3), M'(3,4), N'(3,5) and P'(1,4).
As you can see, these are coordinates of vertices of the figure C.
Answer: correct choice is option 3 - figure C.
Answer:
Quick answer option C
Step-by-step explanation:
Explain how to use the distributive property to find an expression that is equivalent to 20+16.
Answers
Step-by-step explanation:
distributive property is a*(b+c) = a*b + a*c
20+16 = 4* (5+4)
find the value of x
PLEASE HELP!!!
Answers
Colin invests £1200 into his bank account.
He receives 5% per year simple interest.
How much will Colin have after 3 years?
Give your answer to the nearest penny where appropriate.
Answers
Anyone good with matrixes and matrices? please help me i need help with 10 questions and I need to raise my grade ASAP please
Answers
Answer:
what questions need to be done? We need to know the problems before we answer them. :/
Which of the following is equal to 7%?
O A. A
O B. 73
O C. 173
O D.
SUBMIT
Answers
The decimal equivalent of 7% is, C. 0.07.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
We know, Percentages and decimals are related to each other.
Decimals can be converted into percentages by multiplying them by 100
and vice versa.
Given, We have to find the decimal equivalent of 7%.
The decimal equivalent of 7% is,
= 7/100.
= 0.07.
Q. Which of the following is equal to 7%?
A. 7.
B. 0.7.
C. 0.07.
D. 7%.
learn more about percentages here :
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A 40-foot powerboat is for sale by the owner. How long is the boat to
the nearest yard?