Complete question is;
In a recent poll, the Gallup Organization found that 45% of adult Americans believe that the overall state of moral values in the United States is poor. Suppose a survey of a random sample of 25 adult Americans is conducted in which they are asked to disclose their feelings on the overall state of moral values in the United States. Find and interpret the probability that exactly 13 of those surveyed feel the state of morals is poor.
Answer:
P(X = 13) = 0.1236 or 12.36%
This means that in 100 trials, approximately 12 of the trials should have exactly 13 of those surveyed feel the state of morals is poor
Step-by-step explanation:
We are given;
Sample size; n = 25
Chance of success; p = 45% = 0.45
This question is a binomial probability distribution problem and the formula is;
P(X = x) = nCx × p^(x) × (1 - p)^(n - x)
probability that exactly 13 of those surveyed feel the state of morals is poor is;
P(X = 13) = (25C13) × 0.45^(13) × (1 - 0.45)^(25 - 13)
P(X = 13) = 5200300 × 0.00003102864 × 0.00076621787
P(X = 13) = 0.1236 or 12.36%
This means that in 100 trials, approximately 12 of the trials should have exactly 13 of those surveyed feel the state of morals is poor
4.
(03.01 MC)
Which expression is equivalent to 56 + 21? (1 point)
7(49 + 14)
8(7 + 21)
8(48 + 13)
7(8 + 3)
what kind of graph is this?
Answer:
Linear
General Formulas and Concepts:
Types of Graphs
LinearQuadraticExponentialCubicSquare rootCube rootStep-by-step explanation:
Whenever the graph is a straight line (either a diagonal or a horizontal, NOT a vertical line), it will always be linear.
What is 15.23 rounded to the nearest hundredth
Answer:
15.20
Step-by-step explanation:
Write the equation of a line parallel to the line y=2x
Answer:
to create an equation that is parallel to a line, you keep the slope or rate of change the same, all you do is change the y intercept. so you have to keep
y = 2x, but then you can add any number to the end.
Geometry
What is the range of possible values for x? The diagram is not to scale.
After 10 years, the principal on this mortgage is $136,683. How much of the next payment will go towards interest
Answer:
26123 is the answer have a good day
Could someone please guide me towards solving side x I know I have to use trig but I'm completely lost
Answer:
x = 33.13 units
Step-by-step explanation:
Let the altitude of the triangle be h units.
[tex] \sin 65 \degree = \frac{h}{31} \\ \\ 0.906307787 = \frac{h}{31} \\ \\ h = 0.906307787 \times 31 \\ \\ h = 28.0955414 \\ \\ \cos \: 32 \degree = \frac{h}{x} \\ \\ 0.8480480962 = \frac{28.0955414}{x} \\ \\ x = \frac{28.0955414}{0.8480480962} \\ \\ x = 33.1296556 \\ \\ x \approx 33.13 \: units[/tex]
Answer:
x = 23.7926Step-by-step explanation:
Step 1
Find the length of vertical line segment, lets call it h. Use function cos
h/31 = cos 66°h = 31 * cos 66° = 31*0.4067 = 12.6077Step 2
Find x using another function, sin
h/x = sin 32°x = h / sin 32°x = 12.6077 / 0.5299x = 23.7926Juan's book has 248 pages this is 10 more pages than there are in Kevin's book how many pages are in Kevin's book
Answer:
238
Step-by-step explanation:
juans has 10 more than kevin's, so you just subtract 10 from 248, getting 238
Seven and nine thousands in decimal form
Find the distance between E(5,3) and F(-4,3).
Answer:
3 - 3 = 0 units There is no distance, the points are in the same place.
Step-by-step explanation:
Simonne, Marco, and Evon were partners in
business. Simonne and Marco each received
twice as much of the profit as Evon received. If
the total profit was $1,800, how much did Evon
receive?
. "A number is less than or equal to -11.".
Answer:
x <(with a line underneath the carrot) -11
Step-by-step explanation:
Hope this helps! Could not find the symbol.
The inequality for x which is less than or equal to -11 is written as x ≤ -11 or x + 11 ≤ 0.
What is inequality?Inequality shows relation between two expression which are not equal to each others.
Let the required number is x.
In the given question,
Number x is less than or equal to -11.
The inequality for x which is less than or equal to -11 can be written as,
x ≤ -11
The inequality can be further simplified as,
⇒x + 11 ≤ 0
The inequality for x is x + 11 ≤ 0.
To know more about Inequality on:
https://brainly.com/question/20383699
#SPJ2
1. Determine the intervals on which each function is increasing or
decreasing
(a) f(x) = x^3 - 11/2x^2 - 4x
Answer:
[tex]\text{$f(x)$ is increasing for $(-\infty, -\frac{1}{3})$ and $(4, \infty)$} \\ \text{$f(x)$ is decreasing for $(-\frac{1}{3}, 4)$}[/tex]
Step-by-step explanation:
We have the function:
[tex]f(x)=x^3-\frac{11}{2}x^2-4x[/tex]
And we want to determine the intervals for which the function is increasing or decreasing.
We will need to first find the critical points of the function. Note that our original function is continuous across the entire x-axis.
To find the critical points, we need to find the first derivative and then solve for the x. So:
[tex]f^\prime(x)=\frac{d}{dx}[x^3-\frac{11}{2}x^2-4x][/tex]
Differentiate:
[tex]f^\prime(x)=(3x^2)-\frac{11}{2}(2x)-(4) \\ f^\prime(x)=3x^2-11x-4[/tex]
Set the derivative equal to 0 and solve for x:
[tex]0=3x^2-11x-4[/tex]
Factor:
[tex]0=3x^2-12x+x-4 \\ 0=3x(x-4)+(x-4) \\ 0=(3x+1)(x-4)[/tex]
Zero Product Property:
[tex]3x+1=0\text{ or } x-4=0 \\ x=-\frac{1}{3}\text{ or } x=4[/tex]
Therefore, our critical points are -1/3 and 4.
We can thus sketch the following number line:
<————-(-1/3)——————————————(4)—————>
Now, let’s test values for the three intervals: less than -1/3, between -1/3 and 4, and greater than 4.
For less then -1/3, we can use -1. So, substitute -1 for x for our first derivative and see which we get:
[tex]f^\prime(-1)=3(-1)^2-11(-1)-4=3+11-4=10>0[/tex]
The result is positive.
Therefore, for all numbers less than -1/3,f(x) is increasing (since its derivative is positive).
For between -1/3 and 4, we can use 0. Substitute 0 for our derivative:
[tex]f^\prime(0)=3(0)^2-11(0)-4=-4<0[/tex]
The result is negative.
Therefore, for all numbers between -1/3 and 4, f(x) is decreasing (since its derivative is negative).
And finally, for greater than 4, we can use 5:
[tex]f^\prime(5)=3(5)^2-11(5)-4=16>0[/tex]
The result is positive.
Therefore, for all numbers greater than 4, f(x) is increasing (since its derivative is positive.
Therefore:
[tex]\text{$f(x)$ is increasing for $x<-\frac{1}{3}$ and $x>4$}\\ \text{ $f(x)$ is decreasing for $-\frac{1}{3}<x<4$}[/tex]
In interval notation:
[tex]\text{$f(x)$ is increasing for $(-\infty, -\frac{1}{3})$ and $(4, \infty)$} \\ \text{$f(x)$ is decreasing for $(-\frac{1}{3}, 4)$}[/tex]
Write an equivalent addition expression to : -10 – (-4)
Answer:
-6
Step-by-step explanation:
-10-(-4)=-1+4=-6
Hope this helps plz mark brainliest ;D
Can someone solve this equation for me? 34 + 12x = 3x - 22
Thanks. Any help is appreciated! :)
Answer: x= -56/9
Step-by-step explanation:
34+12x=3x-22
Subtract 12x from both sides
34=-9x-22
Add 22 to both sides
56=-9x
Divide -9 by both sides to get x alone
56/-9=x
So
x=-56/9
What is 8 divide 1/5?
What is 8 divide by 1/5
Answer:
40
Step-by-step explanation:
Which expression is equivalent to 4x+6y-8x
Answer:The expression is 6y - 4x
Step-by-step explanation:
Answer:
-4x+6y
Step-by-step explanation:
4x+6y-8x4
(4x-8x)+6y
−4x+6y
Solve for x.
10x−3x+5=26
Answer:
x = 3
Step-by-step explanation:
10x−3x+5=26 (Given)
7x + 5 = 26 (Combine like terms)
7x = 21 (subtraction Property of equaity)
x = 3 (division Property of equaity)
Find the general solution of the given system. Use a computer system or graphing calculator to construct a direction field and typical solution curves for the system
Answer:
hello your question is incomplete attached below is the complete question and solution
answer : general solution ( X ) = [tex]C_{1} e^{3t} \left \{ {{1} \atop {-1}} \right. + C_{2} e^{3t} \left \{ {{1} \atop {-1}} \right.[/tex]
Step-by-step explanation:
attached below is the detailed solution to determine the general solution of the given system
general solution ( X ) = [tex]C_{1} e^{3t} \left \{ {{1} \atop {-1}} \right. + C_{2} e^{3t} \left \{ {{1} \atop {-1}} \right.[/tex]
whats 2+2 brainliest
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
write the equation of the line in standard form passing through (2,-4) with a slope of -7
Answer:
7x+Y=-2
Step-by-step explanation:
(y-y1)=m(x-x1)
(Y+4)=-7(x-2)
Y+4=-7x+2
Y+7x=2-4
7x+Y=-2
Determine an expression for dy
dx given that x = sin3
(t)andy = cos3
(t)
Answer:
[tex]\frac{dy}{dx} =-\sqrt[3]{\frac{y}{x} }[/tex]
Step-by-step explanation:
Recall that using the chain rule we can state:
[tex]\frac{dy}{dt} =\frac{dy}{dx}*\frac{dx}{dt}[/tex]
and therefore solve for dy/dx as long as dx/dt is different from zero.
Then we find dy/dt and dx/dt,
Given that
[tex]x=sin^3(t)\\dx/dt = 3 sin^2(t)* cos(t)[/tex]
And similarly:
[tex]y=cos^3(t)\\dy/dt=-3\,cos^2(t)*sin(t)[/tex]
Therefore, dy/dx can be determined by the quotient of the expressions we just found:
[tex]\frac{dy}{dx} =\frac{dy/dt}{dx/dt} =\frac{-3\,cos^2(t)*sin(t)}{3\,sin^2(t)*cos(t)} =-\frac{cos(t)}{sin(t)}[/tex]
now notice that we can find [tex]cos(t) = \sqrt[3]{y}[/tex] from the expression for y,
and [tex]sin(t) = \sqrt[3]{x}[/tex] from its expression for x.
Therefore dy/dx can be written in terms of x and y as:
[tex]\frac{dy}{dx} =-\frac{cos(t)}{sin(t)}=-\sqrt[3]{\frac{y}{x} }[/tex]
All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours.
b
How many hours would it take to fill the order if the number of working machines increased by a factor of 2?
Answer: 11 hours
Step-by-step explanation:
22/2 = 11
What is the equation of the line that passes through the point (5,2) and has a slope
of -3/5
Answer:y = -0.6x + 5
Step-by-step explanation:
Answer:
yessir the one on top is right btw
Step-by-step explanation:
hope this helped
PLEASE HELP ILL GIVE AS MANY POINTS AS YOU WANT!!
Answer:
-2= y=-13, (x,y)= (-2,-13)
0= y= -3, (x,y)= (0,-3)
1= y= 2, (x,y)= (1,2).
Step-by-step explanation:
Please mark as brainliest. :)
Find the length of BD and EC.
A
D
9
8
B
с
BD =
EC =
I need help with this can someone help me I have a few other ones as well I don’t understand anyone?
Answer:
x=59
Step-by-step explanation:
The sum of the interior angles of a triangle add up to 180 degrees. That means that (x+12)+(x)+(x-9)=180 degrees in total. If we combine the like terms (combine the xs and regular constant values), the xs add up to 3x (x+x+x) and the regular constants add up to 3 (12+-9=3). If we rewrite this in a more simplified form, we get 3x+3=180. Subtract 3 on both sides to get 3x=177 because we want to isolate x. 3x=177 divide 3 on both sides and we get 59. x=59
a dolphin in a aquaruim is 12 feet long. A scale model of the dolphin is 3 1/2 in long. What is the scale factor of the model
Answer:The scale factor= 1 : 41.14
Step-by-step explanation:
I did research on it
6x² – x=2
Factor and solve
Answer:
x=2/3 or x=−1/2
Step-by-step explanation:
6x²−x=2
6x²−x−2=2−2
6x²−x−2=0
(3x−2)(2x+1)=0
3x−2=0 or 2x+1=0
x=2/3 or x=−1/2
y= -2x+8
what is the value of y when 0 is the value of x?
Not sure what you mean but will be explaining about y = 0 and x =0 anyway.
So for x = 0, that means the value of x is 0.
y = -2(0)+8
y=0+8
y=8
So when x = 0, the value of y is 8 (y = 8) or we can write (0,8)
For y = 0, that means the value of y is 0.
0=-2x+8
-8=-2x
-2x=-8
x=4
So when y = 0, x = 4. We can write as (4,0)