Answer:
Step-by-step explanation:
Hello!
The experiment consist in "a fair coin is tossed 4 times" the recorded variable is X: number of heads obtained after tossing the coin 4 times
The possible values for this variable: X: 0; 1; 2; 3; 4
The frequencies observed for each possible value of X after repeating the experiment for n=80 times
fi: 4; 8; 36; 20; 12
To create the probability distribution you have to calculate the probability for each value of X, by doing the following calculation [tex]p(xi)= \frac{fi}{n}[/tex]
p(X=0)= p(0)= 4/80= 0.05
p(X=1)= p(1)= 8/80= 0.10
p(X=2)= p(2)= 36/80= 0.45
p(X=3)= p(3)= 20/80= 0.25
p(X=4)= p(4)= 12/80= 0.15
For this to be a probability of distribution the following conditions are to be met:
p(xi)≥0∑p(xi)=1All calculated probabilities are at most zero.
∑p(xi)= 0.05+0.10+0.45+0.25+0.15= 1
xi | 0 | 1 | 2 | 3 | 4
fi | 4 | 8 | 36| 20 | 12
p(xi)| 0.05| 0.10| 0.45| 0.25| 0.15
F(Xi)|0.05| 0.15 | 0.60| 0.85| 1
I hope this helps!
Math is Hard help me
Answer:
its c.
rotate 90 ccw then mirror from y-axis
Step-by-step explanation:
Which expression is equivalent to.......
See pictures
Answer:
[tex] \sqrt{ {2}^{5} } [/tex]
Step-by-step explanation:
[tex]\huge \bigg( {2}^{ \frac{1}{2} }. {2}^{ \frac{3}{4}} \bigg)^{2} \\ \\ \huge = {2}^{ \frac{1}{2} \times 2 }. {2}^{ \frac{3}{4} \times 2} \\ \\ \huge = 2 \times {2}^{ \frac{3}{2} } \\ \\ \huge = {2}^{ \frac{3}{2} + 1 } \\ \\ \huge = {2}^{ \frac{3 + 2}{2} } \\ \\ \huge = {2}^{ \frac{5}{2} } \\ \\ \huge = \sqrt{ {2}^{5} } [/tex]
According to the U.S. Department of Agriculture, Alabama egg farmers produce millions of eggs every year. Suppose egg production per year in Alabama is normally distributed, with a standard deviation of 83 million eggs. If during only 3% of the years Alabama egg farmers produce more than 2,655 million eggs, what is the mean egg production by Alabama farmers?
Answer:
The mean egg production 2499 million
Step-by-step explanation:
P(Z > a) = 3% = 0.03
P(Z > a) = 1 - ∅(a)
1 - ∅(a) = 0.03
∅(a) = 1 - 0.03
∅(a) = 0.97
Checking the normal distribution curve, for ∅(a) = 0.97, z = 1.88
This means that area under the normal curve is 3% (0.03) to the right of z = 1.8808
X = μ + (zб)
X = 2,655 millions
б = 83 million
2655 = μ + (1.88 * 83)
2655 = μ + 156.04
μ = 2655 - 156.04
μ = 2498.96
The mean egg production, is therefore, 2499 million
There are 90 students in 5th Grade. 10% of them were absent today. How many students were present .
Answer:
81 students.
Step-by-step explanation:
If 10% of the 90 students were absent, then that means that 9 students were absent. To find the number of students present, simply subtract.
90 - 9 = 81.
- Hope this helped.
Which statement is true about the equations –3x + 4y = 12 and 1/4x-1/3y=1
Answer: No solution
Step-by-step explanation:
This system of equation has no solution because...
-3x+4y=12
1/4x-1/3y=1
[tex]-3x+4y-4y=12-4y[/tex]
[tex]-3x=12-4y[/tex]
[tex]\frac{-3x}{-3}=\frac{12}{-3}-\frac{4y}{-3}[/tex]
[tex]\frac{12}{-3}-\frac{4y}{-3}[/tex]
[tex]x=-\frac{12-4y}{3}[/tex]
substitute
[tex]\frac{1}{4}\left(-\frac{12-4y}{3}\right)-\frac{1}{3}y=1[/tex]
[tex]-1=1[/tex]
-1=1 is false so therefore this system has no solution
The police department uses a formula to determine the speed at which a car was going when the driver applied the breaks, by measuring the distance of the skid marks.The equation d=0.03r^2+r models the distance, d, in feet, r miles per hour (r is the speed of the car) Factor the equation. d=?
Answer:
0.03 feet
Step-by-step explanation:
d = 0.03r² + r
When d = 0: 0.03r² + r = 0
r(0.03r + 1) = 0
∴ r = 0
When r = 0: d = 0.03 feet
Se tiene el mismo número de cajas de manzanas que de limones. Si en una caja de manzanas caben 13 unidades y en una de limones caben 17, ¿cuántas cajas de cada tipo de fruta se tienen si hay un total de 180 frutas?
Answer: 6 cajas de cada tipo de fruta.
Step-by-step explanation:
En cada caja de manzanas, tenemos 13 manzanas.
En cada caja de limones, tenemos 17 limones.
Si el numero total de cajas es C, entonces el numero total de manzanas es:
C*13
y el numero total de limones es: C*17.
Si en total tenemos 180 frutas, entonces tenemos que:
C*13 + C*17 = 180
C*(13 + 17) = 180
C*30 = 180
C = 180/30 = 6
Tenemos 6 cajas de cada tipo de fruta.
Answer:
[tex]\large \boxed{\text{6 boxes of apples and 6 boxes of lemons}}[/tex]
Step-by-step explanation:
Let m = the number of boxes of apples. Then
13m = the number of apples
Let l = the number of boxes of lemons. Then
17l = the number of lemons and
13m + 17l = the total number of fruits
You have two conditions:
[tex]\begin{array}{rrclr}(1) & m & = &l\\(2) & 13m + 17l & = & 180\\\end{array}[/tex]
Solve the equations for m and l
[tex]\begin{array}{rrcll}(1) & m & = & l&\\(2) & 13m + 17l & = & 180\\(3)&13m +17m & = & 180 & \text{Substituted (1) into (2)}\\&30m& = &180 &\text{Simplified}\\(4)&m& = &\mathbf{6} &\text{Divided each side by 30}\\& 6& = &l& \text{Substituted (4) into (1)}\\& l& = &\mathbf{6}& \\\end{array}\\\text{You have $\large \boxed{\textbf{6 boxes of apples and 6 boxes of lemons}}$}[/tex]
Check:
[tex]\begin{array}{ccc}6 = 6 & \qquad & 13(6) + 17(6) = 180\\& \qquad & 78 + 102 =180\\& \qquad & 180 = 180\\\end{array}[/tex]
It checks.
I need help please help
Answer:
21u-16v+18w
Step-by-step explanation:
(7u-4v+4w) 14u-12v+14w
21u-16v+18w
Answer:
= 21u−16v+18w
Step-by-step explanation:
Let's simplify step-by-step.
7u−4v+4w−2(−7u+6v−7w)
Distribute:
=7u+−4v+4w+(−2)(−7u)+(−2)(6v)+(−2)(−7w)
=7u+−4v+4w+14u+−12v+14w
Combine Like Terms:
=7u+−4v+4w+14u+−12v+14w
=(7u+14u)+(−4v+−12v)+(4w+14w)
=21u+−16v+18w
Answer:
=21u−16v+18w
Mrs. Brown has 11 more boys than girls in her class and has a total of 28 students. Which of the following systems of equations could be used to solve this problem?
Answer:
g=number of girls in the class b=number of boy in the class
g+b=28
g=11+b
Sam bought 4 candy bars at 1.23 each. How many did Sam spend all together
Answer: $4.92
Step-by-step explanation: If Sam had 4 candy bars and they cost $1.23, you multiply 4 by 1.23 to get $4.92—The total amount that Sam spent
Hope this helps:)
Answer:
4.92
Step-by-step explanation:
you would multiply 4 by 1.23 and you would get your answer.
A force of 90 Newton's is applied to a 20cm2 surface. The force applied is then increased by 5 Newton's and the surface is increased by 5cm2 what percentage does the outcome decrease by
Answer:
15.56%
Step-by-step explanation:
The force applied, F, to the surface is 90N.
The area, A, of the surface is [tex]20 cm^2[/tex] = [tex]0.002m^2[/tex]
The pressure on the surface is:
P = F / A = 90 / 0.002 = 45000 Nm^2
The force is increased by 5N, the new force is 95N.
The surface area is increased by 5 cm^2 = 0.0005 m^2. The new surface area is 0.0025 m^2.
The pressure is now:
P = 95 / 0.0025 = 38000 Nm^2
The percentage decreased is gotten by dividing the difference in the two values by the old value and then multiplying by 100.
=> Difference = 45000 - 38000 = 7000
% decrease is therefore:
= 7000 / 45000 * 100 = 15.56%
There was a 15.56% decrease.
The ratio of the applied force to the area to which the force is applied,
gives the amount of pressure applied.
The outcome decreases by [tex]\underline{15.\overline 5 \%}[/tex]
Reasons:
[tex]\mathrm{Pressure, P} = \dfrac{Force, \, F}{Area, \, A}[/tex]
The initial force, F₁ = 5 N
The initial area, A₁ = 20 cm²
[tex]\mathrm{ } P_1=\dfrac{F_1}{A_1 }[/tex]
[tex]\mathrm{The \ initial \ pressure \ on \ the \ surface \ is \ } P_1=\dfrac{90 \ N}{0.002 \ m^2} = 45,000 \ Pa[/tex]
The new force, F₂ = F₁ + 5 N = 90 N + 5 N = 95 N
The new area, A₂ = A₁ + 5 cm² = 20 cm² + 5 cm² = 25 cm²
The new pressure after the increase is given by the equation;
[tex]\mathrm{ } P_2=\dfrac{F_2}{A_2 }[/tex]
[tex]\mathrm{The \ surface \ pressure \ after \ the \ increase\ is \ } P_2=\dfrac{95 \ N}{0.0025 \ m^2} = \mathbf{38,000 \ Pa}[/tex]
[tex]Percentage \ change = \dfrac{New \ value - Initial \ value}{Initial \ value} \times 100[/tex]
[tex]Percentage \ change = \dfrac{38,000 - 45,000}{45,000} \times 100 = 15.\overline 5 \%[/tex]
The outcome decreases by 15.[tex]\overline 5 \%[/tex]
Learn more:
https://brainly.com/question/22294092
A shop advertises 25% off its prices in a sale a dress is 90% how much was it before the price reduction
Answer:
120
Step-by-step explanation:
90→75%
X→100%
⇒X=(90×100)÷75=120
Before the price reduction, the cost was 120 dollar.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given that shop advertises 25% off its prices in a sale a dress is 90% .
Here 90 percent is equivalent to 75%
Let X = 100%
So,X=(90×100)÷75
x =120
The price was 120 dollar.
Learn more about multiplications;
https://brainly.com/question/14059007
#SPJ2
find the quadratic polynomial if zeros of it are 2 and 1/3 respectively
Answer:
[tex]\boxed{\sf \ \ \ 3x^2-7x+2 \ \ \ }[/tex]
Step-by-step explanation:
Hello,
There are a lot of polynomials which have 2 and 1/3 as zeroes,
I can show you one below
[tex]3(x-2)(x-\dfrac{1}{3})=(x-2)(3x-1)=3x^2-x-6x+2=3x^2-7x+2[/tex]
hope this helps
In △ABC, m∠A=35°, a=12, and b=14. Find c to the nearest tenth.
Answer:
a b. c=19 it is equal to 19
Answer:
20.3854
Step-by-step explanation:
Complete the equation of the line through (-8,8)(−8,8)left parenthesis, minus, 8, comma, 8, right parenthesis and (1,-10)(1,−10)left parenthesis, 1, comma, minus, 10, right parenthesis.
Answer:
[tex]y = -2x - 8\\OR\\2x+y+8=0[/tex]
Step-by-step explanation:
Given that there are 2 points
[tex]A(-8,8)[/tex] and
[tex]B(1,-10)[/tex]
So, the coordinates are:
[tex]x_2 = 1\\x_1 = -8\\y_2 = -10\\y_1 = 8[/tex]
Equation of a line is given as:
[tex]y =mx+c[/tex]
where 'm' is the slope of the line, formula for 'm' is given as:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex](x,y)[/tex] are the points that satisfy the equation of the line.
[tex]c[/tex] is the [tex]y -[/tex] intercept.
Calculating the value of m using the given coordinates:
[tex]m=\dfrac{-10-8}{1-(-8)}\\\Rightarrow m=\dfrac{-18}{9} = -2[/tex]
So, the equation of line becomes:
[tex]y =-2x+c[/tex]
Now, putting the coordinates of point [tex]A(-8,8)[/tex]
[tex]8 =-2\times (-8)+c\\\Rightarrow 8 = 16+c\\\Rightarrow c = -8[/tex]
Please refer to the graph of given equation of line.
The equation of line is:
[tex]y =-2x+-8\\OR\\2x+y+8=0[/tex]
Write the point-slope form of an equation of the line through the points (-7, 7) and (4,1).
Answer:
The point-slope form of an equation of the line through the points (-7, 7) and (4,1):
(y - 7) = m(x + 7)
or
(y - 1) = m(x - 4)
with
m = (1 - 7)/(4+7) = -6/11
Answer:
y=-6/11 x +35/11
Step-by-step explanation:
(-7, 7) and (4,1)
m=y2-y1/x2-x1
m=1-7/4-(-7)
m=-6/11
y=mx+b take one point(4,1) to find b
1=-6/11(4)+b
1=-24/11 +b
b=1+24/11
b=(11+24)/11
b=35/11
y=-6/11 x +35/11
the price of a CD was decreased by 2% to £14. what was the price before the decrease?
Answer:
£14.29
Step-by-step explanation:
0.98x=14
x=14.29
Answer:
14.28
Step-by-step explanation:
PLEASE HELP ME!! BRAINLIEST!!
Answer:
200
Step-by-step explanation:
Given the first term 39 and the last term 11 then the sum of the 8 layers can be calculated as
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] ( f + l) ← f is the bottom layer anf f the top layer, thus
[tex]S_{8}[/tex] = [tex]\frac{8}{2}[/tex] (39 + 11) = 4 × 50 = 200
Which of the following are solutions to the equation below?
Check all that apply.
x2 + 4x-9 = 5x + 3
A. -3
B. 5
| C. 2
D. -4
E. 4
F-7
Answer:
The answers are options A and E
x² + 4x-9 = 5x + 3
Group like terms
x² + 4x - 5x - 9 - 3 = 0
x² - x - 12 = 0
Using factorization method
(x + 3)( x - 4) = 0
x = - 3 x = 4
Hope this helps
4. Two ropes are attached to a heavy object. The ropes are given two strong physics
students (is there any other kind?) with instruction for each to pull with 1000 N of force.
Determine the resultant force is the two students pull:
a. In the same direction east
b. In opposite directions
c. At right angles, south and east
Answer:
A.) 2000N
B.) 0
C.) 1414.2 N
Step-by-step explanation:
Given that the force on the rope = 1000N
A.) If the two students pull in the same direction, the resultant force will be addition of the two forces. That is
1000 + 1000 = 2000 N
B.) If the two students pull in the opposite direction, the resultant force will be sum of the two forces equal to zero. That is,
F1 + F2 = 0
F1 = positive 1000N
F2 = negative 1000N
Therefore, 1000 - 1000 = 0
The resultant force of the two forces is zero.
C.) If the two forces are at right angles, south and east to each other, the resultant force R will be achieved by using pythagorean theorem.
R = sqrt( 1000^2 + 1000^2 )
R = sqrt( 2000000 )
R = 1414.2 N
The resultant force of the two forces will be 1414.2N
Are triangles ABD and CDB congruent by AAS, ASA, SAS or SSS?
Answer:
They are congruent by AAS.
Step-by-step explanation:
Side BD is common to both triangles and 2 pairs of corresponding angles are congruent.
A square has side length x and a circle has radius (x - 1). At what value of x will the two figures have the same area?
Answer:
x=(π+√π)/1-π
or x=(π-√π)/1-π
Step-by-step explanation:
since it is a square all sides are equal
Area of square=x*x=x^2
Area of a circle=πr^2
A=π(x-1)^2
two areas are equal
x^2=π(x^2-2x_1)
x^2=πx^2-2πx-π
x^2-πx^2-2πx-π=0
x^2(1-π)-2πx-π=0
using quadratic formula with a=1-π , b=-2π and c=-π
equation of the form ax^2+bx+c=0 by using the quadratic formula:
x=(−b±√b2−4ac)/2a
x=(π+√π)/1-π
or x=(π-√π)/1-π
A machine can wrap 360 packages of muffins in 12 minutes. At this rate, how
many packages will be wrapped in 1 hour?*
Answer:
1800 (packages )muffins
Step-by-step explanation:
360 muffins x muffins
-------- = --------
12 min 60 min
Answer:
1800 maybe
Step-by-step explanation:
in 12 minutes can wrap 360
in 1 hr have 60 minutes
60/12=5
than 360*5 = 1800
A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown. I WILL GIVE BRAINLIEST 1 blue marble, 2 green marbles, 3 yellow marbles, and 3 red marbles. Which best describes the complement of choosing a red marble? choosing a green or blue marble choosing any marble choosing a blue, green, or yellow marble choosing a yellow marble
Answer:
B.
choosing any marble
Step-by-step explanation:
Which equation represents a graph with a vertex at (-1,6)?
Answer:
B. [tex]y = 3x^2 -6x -3[/tex]
Step-by-step explanation:
Well, we can use the following formula to find the x coordianate of the vertex -b / 2a.
So let’s start with a)
-6 / 6
-1
A. is wrong because its vertex starts with -1.
b)
6 / 6
1
now that we have our x coordinate we can plug it into the equation to get our y.
3 - 6 - 3
So the y coordinate is -6.
Hence, the answer choice B. [tex]y = 3x^2 -6x -3[/tex]
look at the image below.
Which describes all possible values of f(x) in the function f(x) = √x/2? All real numbers all real numbers except for 0 all positive real numbers and 0 all negative real numbers and 0
Answer:
all positive real numbers and 0
Step-by-step explanation:
The function has a square root in the x value, so this function can't have negative values, because a negative value of x would give a complex number for f(x), and positive values of x gives positive values of f(x).
The function f(x) can be zero, if the value of x is zero:
[tex]f(0) = \sqrt{0} /2 = 0/2 = 0[/tex]
So the function f(x) can only have positive values and the value 0.
Correct option: "all positive real numbers and 0"
Which of the following investments could be represented by the function A = 250(1 + 0.08/12)12 × 4?
hello,
the first term is 250 so this is the initial invested amount
[tex](1+\dfrac{0.08}{12})^{12}=(1+\dfrac{8\%}{12})^{12}[/tex]
is to compute 8% annual interest compounded monthly (there are 12 months in a year)
and then multiply by 4 means that it is computed for 4 years so
finally the answer is
$250 is invested at 8% annual interest compounded monthly for 4 years
hope this helps
In a group of 45 students, 5 study both Art and Biology. 8 study Biology but not Art. 9 study neither subject. Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?
Answer:
[tex]\frac{1}{9}[/tex]
Step-by-step explanation:
Data provided in the question
There is a total group of 45 students
Art + biology = 5
8 study biology but not Art
Neither subject studied = 9
Based on the above information, the probability of student that studies
art and biology is
Since there is a group of 45 students out of which 5 study both art and biology
So, the ratio is
4: 5
Now divide both sides by 5
So, now the ratio is
9:1
Therefore it means the probability is [tex]\frac{1}{9}[/tex]
Filipe practiced 12 fewer hours than Bianca. If Filipe practiced for 16 hours, how long did Bianca practice? Bianca practiced for hours.
Answer:
She practiced for 28 hours.
Step-by-step explanation:
x = 16 - Filipe's hours
y =? - Bianca's hours
Filipe practiced 12 hours less than Bianca so we get the following equation:
y - 12 = x which is y - 12 = 16.
Now we solve the equation by adding 12 to the both sides:
y - 12 + 12 = 16 + 12
y + 0 = 28
y = 28.
Answer:
equation: a statement that two expressions are equal operation: a mathematical process such as addition, subtraction, multiplication, or division solution: a value of the variable in an equation or inequality that makes the equation or inequality true variable: a letter or symbol used to represent an unknown quantity
Section 1 00:00:00 TEACHER: Welcome. In this lesson, we're going to be answering the question what situations can you model with one-step equations? Let's begin. Section 2 00:00:00 TEACHER: We'll start with the goals for this lesson. We're going to be writing and solving one-step equations. And to do this, we're going to use one-step equations to solve word problems. And we're also going to be using one-step equations to solve word problems involving rational numbers. Now there's some words you're going to need to know in this lesson. 00:00:21 We have equation, operation, solution, and variable. Make sure you familiarize yourself with the definitions for these words before we continue. Section 3 00:00:00 TEACHER: We're answering the question, what situations can you model with one-step equations? Now, you already know that inverse operations like multiplication and division, they undo each other. In this lesson, you're going to learn how to use what you already know in order to learn how to solve real world problems.
Section 1 00:00:00 TEACHER: In this lesson, we're answering the question, what situations can you model with one-step equations? Now, you already know how to use inverse operations and equality properties to solve equations. In the first part of this lesson, we're going to learn how to solve real world problems by writing and solving one-step equations. Section 2 00:00:00 TEACHER: Let's take a look at equations and word problems. Now, there are some steps that you can use in order to be able to write and solve a one-step equation involving a word problem. The first step is to identify the variable. We need to find out what is unknown in the problem and then let our variable represent that unknown. Next, we identify the operation, whether we're using 00:00:21 addition, subtraction, multiplication, or division. And we can do that by looking at key words in our scenario. Then we can write the equation. Once we have an equation, then we can solve it. And we can solve that expressing it as an equation, like an x equals 5, or even model that value on a number line. We can then check the solution. 00:00:43 We want to check back with the original problem to see if that answer make sense. Let's go ahead and take a look at this scenario right here. And we're going to identify what the equation would be for this scenario. Now, the total cost of 3 tickets to a play was $42. What was the cost of each ticket? Notice the question. 00:01:02 What was the cost of each ticket? That's unknown. I don't know what the cost is yet. So in identifying my variable, we're going to identify that unknown. We're going to let c equal the cost of 1 ticket because that is unknown at this time. Well, now that we've done that, we've 00:01:22 completed step one. So now let's go ahead and see what we can do to write the equation. But we need to identify the operation. Well, knowing the variable, let's go ahead and go back to the clues that we were given. The total cost of 3 tickets to a play was $42. Now, here in my table, I have different words in a situation 00:01:42 that would describe what operation I'm using. If I see words like increasing, I know that means addition. Difference means subtraction. Finding part of a total means multiplication. And that's what we're looking at in this scenario, the total cost of 3 tickets to a play. We're finding part of a total. 00:02:00 Let's look at the last thing in the table-- sharing or grouping. That would tell us we were using a division problem. So let's go back to this multiplication. Since we're going to be finding part of a total because I'm trying to find out the cost of 1 ticket, which is a part of the total cost of tickets, then I can go ahead and use the fact that 3 tickets times the cost of 1 00:02:24 ticket is equivalent to $42. So notice I have the equation 3 times c is equal to 42. And then once you have your equation, you would be able to move to the next step in solving that equation.
Step-by-step explanation:
Can someone give me the answer?
Answer:
the answer is exactly one solution
Answer:
Step-by-step explanation:
No