Answer:
145% increase
Step-by-step explanation:
343 - 140 = 203
203/140 = 1.45
1.45 x 100 = 145
Flip a coin three times. You will win $2 for each heads. What is the expected winning (expectation of your winning)
The three coins could land any these 8 ways:
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
P(3 heads) = 1 way out of 8 or 1/8
P(2 heads) = 3 ways out of 8 or 3/8
P(1 head) = 3 ways out of 8 or 3/8
P(0 heads) = 1 way out of 8 or 1/8
x=Winnings P(x) E(x)=x�P(x)
$3 1/8 $.375
$2 3/8 $.75
$1 3/8 $.375
-$10 1/8 -$1.25
---------------------------
Total expectation = $ .25
if c is a positive number, how many solutions does vx=c have?
All cases where v and x are both negative or both positive numbers.
1. Describe the location of entry m52 in a matrix called M
Check the picture below.
positive and negative relationships are both examples of linear relationships
A. True
B false
Answer: A. True.
Step-by-step explanation:
A relationship is linear when the points on a scatterplot follow a somewhat straight line pattern. This is the relationship that we will examine. Linear relationships can be either positive or negative. Positive relationships have points that incline upwards to the right. As x values increase, y values increase.
what is the greatest common factor of
8x - 12
Answer:
4
Step-by-step explanation:
8x - 12
4(2x - 3)
Integrate :
[tex]\red{\footnotesize\displaystyle\bf \int cos^3 4x\:\:dx}[/tex]
Recall the half-angle identity for cosine:
cos²(x) = 1/2 (1 + cos(2x))
Then we can rewrite the integrand as
cos³(4x) = cos(4x) cos²(4x) = 1/2 cos(4x) (1 + cos(8x))
So we have
[tex]\displaystyle \int \cos^3(4x) \, dx = \frac12 \int (\cos(4x) + \cos(4x)\cos(8x)) \, dx[/tex]
Next, recall the cosine product identity,
cos(a) cos(b) = 1/2 (cos(a - b) + cos(a + b))
so that the integral is equivalent to
[tex]\displaystyle \int \cos^3(4x) \, dx = \frac12 \int \cos(4x) \, dx + \frac14 \int (\cos(4x - 8x) + \cos(4x + 8x)) \, dx[/tex]
[tex]\displaystyle \int \cos^3(4x) \, dx = \frac34 \int \cos(4x) \, dx + \frac14 \int \cos(12x) \, dx[/tex]
Computing the rest is trivial:
[tex]\displaystyle \int \cos^3(4x) \, dx = \boxed{\frac3{16} \sin(4x) + \frac1{48} \sin(4x) + C}[/tex]
Find the slope of the line that passes through:
(-3,-4) and (76)
Answer:
Point slope form: y − 7 = 3 4 ( x − 3 ) Slope intercept form: y = 3 4 x + 19 4 or y = 3 4 x + 4 3 4
Step-by-step explanation:
hope this helps, have a nice day/night! :D
if it helped, please mark this as brainliest!
Answer:
Slope = 1
Step-by-step explanation:
Slope = change in y / change in x
Slope = 6 - (-4)/7 - (-3)
Slope = 10/10
Slope = 1
-Chetan K
the difference between factors and factor pairs
Answer:
Factors are often given as pairs of numbers, which multiply together to give the original number. These are called factor pairs. A square number will have one factor pair consisting of one factor multiplied by itself. This factor is called the square root of the given number.
Find the product of 4v22 and 4v4 in simplest form. Also, determine whether the result is rational or irrational and explain your answer. Result: V The result is because it integers and its decimal expansion be written as the ratio of two terminate or repeat.
Answer:
32[tex]\sqrt{22}[/tex]
irrational
cannot be written as a ratio
does not repeat or terminate
Step-by-step explanation:
[tex]\sqrt{4}[/tex] = 2
4[tex]\sqrt{22}[/tex] · 4(2) = 4[tex]\sqrt{22}[/tex] · 8 = 32[tex]\sqrt{22}[/tex]
Plz solve. The question is in the picture. 100 points and brainliest.
Answer:
A
Step-by-step explanation:
At the beginning of a basketball season, the Panthers won 30 games out of 100 games. At this rate, how many games will they win in a normal 120-game season?
Answer:40
Step-by-step explanation: 12 divided by 3
Jace's average gross pay is $1,450.00 bi-weekly. Determine how many years it will take Jace to earn his first million dollars.
a
27 years
b
26 years
c
14 years
d
13 years
Please Help!!!
it will take him 27 years
Determine whether the points p1 (6,9,7), p2(9,2,0), and p3(12,-5,-6) lie on the same line
Answer:
They are not.
Step-by-step explanation:
Let's first calculate the vectors joining the first point to the second and the first to the third, they will be useful later.
[tex]\vec v_1_2 = \vec P_2 -\vec P_1 = <3; -7; -7>\\\vec v_1_3= \vec P_2 -\vec P_1 = <6; -14; -13>[/tex]
At this point we have at least three options:
Write down the line between P1 and P2 in vector form, and then see if we can fit the third point in there.
Calculate the cross product between the two, if it's non-zero the three point are not in a line.
Try to determine the plane passing for the 3 points: if we find one they are not in a line.
Option 1:
The vector form of the lne between the firs two points is [tex]<6+3t;9-7t;7-7t>[/tex]. Let's check the coordinates of the third point:
[tex]x_3:\ 6+3t= 12 \rightarrow t=2\\y_3:\ 9-7t = -5 \rightarrow t =2\\7z_3:\ 7-7t=-6 \rightarrow t = 13/7\ne 2[/tex]
So the three points are not in a line.
Option 2:
Let's calculate the cross product of the two vectors we found at the beginning.
[tex]\vec v_1_2 \times \vec v_1_3 = det \left[\begin{array}{ccc}\hat i&\hat j&\hat k\\3&-7&-7\\6&-14&-13\end{array}\right] = \hat i [-7(-13)-(-14)(-7)] - \hat j[3(-13)-6(-7)]+\hat k [3(-14)-6(-7)] = 7\hat i -3 \hat j + 0 \hat k \ne 0[/tex]
Since the result is not the null vector, the three points are not in a line.
Option 3:
Let's write the plane (in the [tex]z= ax+by+c[/tex] form that contain the three points. If the thre points are in a line, means that we can find only two of these parameters.
[tex]P1: 7= 6a+9b+c\\P2: 0= 9a+6b+c\\P3: -6= 12a-5b +c[/tex]
Since you can determine a, b and c ( I ended up with [tex]a=-\frac {10}3; b=-\frac18; c= \frac{123}8[/tex] but I probably messed something in there) the thre points are not in a line
Two numbers have a sum of 18. Their product is 72. Find the numbers
Answer:
Step-by-step explanation:
x + y = 18
y = 18 - x
xy = 72
x(18 - x) = 72
-x² + 18x = 72
0 = 72 - 18x + x²
x = (18 ± √(18² - 4(1)(72))) / (2(1))
x = (18 ± 6)/2
x = 12
x = 6
Michelle is scuba diving. Her position changes from -2.1 m to -38.6 m in 6 1/4 minutes. What is the average change in Michelle’s position each minute. Show your work.
Answer: 5.824 m / min
Step-by-step explanation:
Change in position = -2.1m to -38.6m
Distance = |-38.6 m - (-2.1m) |
=|-36.5| m
= 36.5 m
Time =
The average change in Michelle's position each minute =
Hence, the average change in Michelle's position each minute = 5.824 m / min
Which number line shows the solution of –5x + 10 > –15? A. B. C. D.
[tex]-5x+10>-15\\\\\implies -5x> -10 -15\\\\\implies -5x > -25\\\\\implies x< 5\\\\\text{Interval,} ~(-\infty,5)[/tex]
Answer:
add the options, then we'll talk
Step-by-step explanation:
68% of US adults have very little confidence in newspapers you randomly select 10 US adults find the probability that the number of US adults who have very little confidence in newspapers is (a) exactly five, (b) at least six, (c) less than four.
Answer:
A) 12.29%
B) 81.33%
C) 1.55%
Step-by-step explanation:
This is a binomial model, and I assume you're meant to use a calculator to solve.
A)
This is what I have in my notes for the binompdf function:
binompdf(n, p, x) - find the probability of exactly x successes in n trials given p probabilityThat is exactly what we want in this case, we're looking for exactly 5 people who meet the conditions (successes) given n trials and p probability.
Using a calculator:
binompdf(10, 0.68, 5) ≈ 0.1229
That means you have about a 12.29% chance to randomly select exactly 5 adults who have little confidence in newspapers.
B)
For this one, use the binomcdf function:
binomcdf(n, p, x) - find the probability of x or fewer successes in n trials given p probabilityIn this case, we're looking for more, not less. However, you can think of the probability of getting more than 6 as just the probability of not getting less than 6.
With a calculator:
binomcdf(10, 0.68, 5) ≈ 0.1867
That means you have about an 18.67% chance to randomly select 5 or less people. We're looking for more though. As said above, the probability of getting 6 or more is just the probability of not getting 5 or less. To find the probability of something not happening, just subtract the probability from 1.
1 - 0.1867 = 0.8133
An 81.33% chance to randomly select at least 6 adults who have little confidence in newspapers.
C)
Same as the above, I don't see a need to explain it all again. Use binomcdf:
binomcdf(10, 0.68, 3) = 0.0155
Notice I used 3 rather than 4. binomcdf calculates x or fewer, or 'rather less than or equal to'. We want just 'less than 4', and that means 'less than or equal to 3'.
That's a 1.55% chance to select less than 4 adults with little confidence in newspapers.
whats the answers can anyone answer this question please
Answer:
1. B
2. A
Step-by-step explanation:
1.
10^{-2} means that you move the decimal back two times
B is the only option that represents that correctly.
2.
5 * 10^{4} = 50000
2.5 * 10^{2} = 250
50000/250 = 200
Out of the options, A is the only option in which the equation also equals 200.
What does X = please help me Asp now
Answer:
13 degrees
Step-by-step explanation:
Because of the alternate interior angles, I know that angle EB is also 77. Now, knowing that it's a right angle, I can subtract 77 from 90 to get 13.
(HELP PLEASE 1!!!!!1!!) How can you tell if data is continuous or discrete
Answer:
Socratic app
Step-by-step explanation:
it will help you
WILL MARK BRAINLIEST IF CORRECT PLS HELP
Which of the functions represents a function?
Answer:
B.
Step-by-step explanation:
im not sure to my answer(●'◡'●)
HELPPP PLS
A store sells a 1 1/4
pound package of turkey for9$ .
What is the unit price of the turkey in the package?
A
$11.25\$ 11.25$11.25 per pound
B
$10.25\$ 10.25$10.25 per pound
C
$7.75\$ 7.75$7.75 per pound
D
$7.20\$ 7.20$7.20 per pound
Answer:
D. $7.20
Step-by-step explanation:
9/1.25 = $7.20
p l s… h e l p… m e…
Match the unknown entries in the two matrices with their correct values
Answers:
v = 54y = 0u = 6w = -48x = -1===================================================
Explanation:
The left hand side is
[tex]-6\begin{bmatrix}3 & -1 & 3\\8 & x & -9\\4 & -1 & y\end{bmatrix}[/tex]
That -6 outside the matrix is multiplied with each item inside the matrix. This is known as scalar matrix multiplication. Effectively, it's very similar to the idea of the distributive property.
So for the first row, we have the three columns of: -6*3 = -18 and -6*(-1) = 6 and -6*3 = -18
The other two rows are handled the same way. This is what should result:
[tex]-6\begin{bmatrix}3 & -1 & 3\\8 & x & -9\\4 & -1 & y\end{bmatrix}= \begin{bmatrix}-18 & 6 & -18\\-48 & -6x & 54\\-24 & 6 & -6y\end{bmatrix}[/tex]
From here, you'll then match up the terms in the given right hand side matrix. The top row has the variable 'u' in the middle, which matches with the '6' in the middle of the top row shown. Therefore, u = 6.
-----------------------------
Now to the second row.
The -48 in the first spot pairs up with the w in the other matrix. So we can see that w = -48. Similarly, we have v = 54.
Also, we have -6x in the middle which matches with the 6 in the same corresponding spot. Solving -6x = 6 leads to x = -1.
-----------------------------
Finally, the third row.
There's only one variable here and that's the variable y in the bottom right corner. It pairs up with 0 in the same corresponding spot for the right hand side matrix. Therefore, y = 0.
Find an equation of the line drawn below.
Answer:
y = -2x +4
Step by step explanation:
y = -2x +4
Hello, hope you are having a splendid day.
First, we should calculate the slope of the line (Rise/Run)
The rise is how many units we move up or down; the run is how many units we move left or right.
Here, we move down 2 and over 1, so the slope is -2
Now, the y-intercept is where the graph touches the y-axis.
Here, the y-intercept is 4.
Our equation looks lke so:
y=-2x+4
Hope it helps. Ask me if you have any queries.
~An emotional teen who helps others on Brainly :)
[tex]MagicalNature[/tex]
Good luck.
Simplifie -4.9(2+6.2v)
Answer:
it's 23over 78 and it can reduce
what is the value of x
Answer:X= 41
Step-by-step explanation:
3. (a) Find the greatest common divisor of 34 and 89 using the Euclidean algo rithm.
(b) Express gcd (34, 89) as a linear combination of 34 and 89.
(c) Find an inverse of 34 modulo 89.
(d) Solve the linear congruence 34x = 53(mod 89).
a. We have GCD(34, 89) = 1; using the Euclidean algorithm,
89 = 2•34 + 21
34 = 1•21 + 13
21 = 1•13 + 8
13 = 1•8 + 5
8 = 1•5 + 3
5 = 1•3 + 2
3 = 1•2 + 1
b. Working backwards,
1 = 3 - 2
1 = 3 - (5 - 3) = 2•3 - 5
1 = 2•(8 - 5) - 5 = 2•8 - 3•5
1 = 2•8 - 3•(13 - 8) = 5•8 - 3•13
1 = 5•(21 - 13) - 3•13 = 5•21 - 8•13
1 = 5•21 - 8•(34 - 21) = 13•21 - 8•34
1 = 13•(89 - 2•34) - 8•34 = 13•89 - 34•34
c. Using the linear combination find in part b,
1 ≡ 13•89 - 34•34 (mod 89)
1 ≡ (-34)•34 (mod 89)
and
-34 ≡ -34 + 89 ≡ 55 (mod 89)
So, the inverse of 34 modulo 89 is 55.
d. Multiply both sides of the congruence by the inverse of 34:
55•34x ≡ 55•53 (mod 89)
x ≡ 2915 ≡ 32•89 + 67 ≡ 67 (mod 89)
What does y= when x = -1?
For the amusement of the guests, some hotels have elevators on the outside of the building. One such hotel is 400 feet high. You are standing by a window 100 feet above the ground and 150 feet away from the hotel, and the elevator descends at a constant speed of 20 ft/sec, starting at time t = 0, where t is time in seconds. Let θ be the angle between the line of your horizon and your line of sight to the elevator. 4 (a) Find a formula for h(t), the elevator's height above the ground as it descends from the top of the hotel. h(t) = (b) Using your answer to part (a), express θ as a function of time t. θ(t) = Find the rate of change of θ with respect to t. dθ dt = (c) The rate of change of θ is a measure of how fast the elevator appears to you to be moving. At what time does the elevator appear to be moving fastest? time = seconds At what height does the elevator appear to be moving fastest?
9514 1404 393
Answer:
a. h(t) = -20t +400
b. θ(t) = arctan(2 -2/15t); dθ/dt = -30/(1125 -120t +4t^2)
c. 15 seconds; 100 ft
Step-by-step explanation:
a. The initial height of the elevator is 400 ft. The rate of change of height is -20 ft/s, so the height equation can be ...
h(t) = -20t +400
__
b. The tangent of the angle above the line of sight is "opposite"/"adjacent":
tan(θ) = (h(t) -100)/(150) = -2/15t +2
θ(t) = arctan(2 -2/15t) . . . . radians
The derivative of the angle function is ...
dθ/dt = 1/(1+(2 -2/15t)^2)(-2/15)
dθ/dt = -30/(1125 -120t +4t^2)
__
c. The value of dθ/dt will have a peak where the denominator has a minimum, at t = -(-120)/2(4)) = 15. (The quadratic vertex coordinate is t=-b/(2a).)
The elevator appears to be moving fastest at t=15 seconds.
The height at that time is ...
h(15) = 400 -20(15) = 100
The elevator appears to be moving fastest when it is at eye level, 100 ft above the ground.