write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1 and the given zeros 3, 4+i
ANSWER ASAP 100 POINTS RIGHT ANSWER GETS BRAINLIST
Divide.
(−10/25)÷8/10 What is the quotient?
Enter your answer as a simplified fraction in the box.
Done!
Suppose you flip a fair coin 10 times and count the number of heads, which you then record (this is the "outcome"). You then perform this "experiment" 100 times. Simulate this set of experiments in Python, and create a histogram showing the number of times you achieved a given outcome. b) Do this again, but this time an experiment has 1,000flips, and you repeat the experiment 10,000 times. (c) Using Python, calculate the mean (μ), variance (σ 2
), and standard error on the mean (σ/μ) for the two sample distributions done on the previous part. Then calculate what these three quantities "should" be based on the formulae for the binomal distribution.
Here is a possible implementation for flipping a fair coin 10 times and recording the number of heads, repeating the experiment 100 times.
outcomes = []
for i in range(100):
num_heads = 0
for j in range(10):
if randint(0, 1) == 0:
num_heads += 1
Plt.show()b) Here is a possible implementation for flipping a fair coin 1,000 times and repeating the experiment 10,000
for i in range(10000).
num_heads = 0
for j in range(1000):
if randint(0, 1) == 0:
num_heads += 1
return n * p
def binom_var(n, p):
return n * p * (1 - p)
def binom_sem(n, p):
To know more about implementation visit:
https://brainly.com/question/32181414
#SPJ11
I need help solving this problem:
1/3(3x - 12) = 1/6x + 1/4 - 9
my teacher said the answer is -5.7 but idk how she got that
Answer:
I got that answer also, but i just did the math in my head.
Step-by-step explanation:
4. What is the measure of 3n?
A. 30°
B. 40°
C. 50°
D. 60°
write the equation.
Solve for n.
We are given with three angles of triangle that are 3n , 5n and 10n.
We have to find the measure of 3n .
We know that sum of all angles of triangle is 180°.
\( \sf \: 3n + 5n + 10n = 180\degree \\ \\ \sf \:18 n = 180\degree \\ \\ \sf \:n = \dfrac{180}{18} \\ \\ \sf \:n = 10\degree \\ \\ \)
Substituting value of n in 3n ,
= 3n
= 3 × 10
= 30°
Therefore, Measure of 3n will be 30 °
Answer:
3. ∠c = 32°
5. 3n = 30°
Step-by-step explanation:
You want the measures of certain angles in triangles where the angles are marked with variable expressions.
Angle sum theoremThe angle sum theorem tells you the sum of angle measures in a triangle is 180°. That fact is used to write an equation that can be solved for the variables used to represent angle values.
3. ∠cThe sum of angles in the triangle is ...
52 +3c +c = 180 . . . . angles total 180°
4c = 128 . . . . . . . . . subtract 52
c = 32 . . . . . . . . . divide by 4
∠c = 32°
4. 3nThe sum of angles in the triangle is ...
10n +5n +3n = 180
18n = 180 . . . . . . . . . collect terms
n = 10 . . . . . . . . . . divide by 18
3n = 3·10 = 30
The measure of angle 3n is 30°.
URGENT !!!!!!!!! Please answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!!!!
Answer:
m=-1/2
Step-by-step explanation:
(x1,y1)=(9,4)
(x2,y2)=(3,7)
m= y2−y1 / x2−x1
= 7−4 / 3−9
= 3 / −6
m= -1/2
Brainliest
Answer:
(6,5.5)
Step-by-step explanation:
(9+3)/2,4+7/2
(12/2),(11/2)
(6,5.5)
how many ways are there to paint the 10 identical rooms in a hotel with five colors if at most three rooms can be painted green, at most three painted blue, at most three red, and no constraint is laid on the other two colors, black and white?
Using the Combination formula,
Total number of ways there to paint 10 hotel rooms in a hotel with five colours is 527 ways .
We have given that,
total number of rooms available for paint = 10
number of colour avaliabile for painting = 5
Atmost three rooms can be painted green i.e
the number of ways for atmost three rooms are painted green = ¹⁰C₃ + ¹⁰C₂ + ¹⁰C₁ = 120 + 45 + 10 = 175
similarly, the number of ways for atmost three rooms are painted red = 175
the number of ways for atmost three rooms are painted blue = 175
Now, one room is remained for painting and two colours are available for it
the number of painting the remained room with aany of two available colours i.e black and white
= 2 ways
thus , total ways to paint the 10 hotel rooms with five different paints are (175×3 +2) = 527
To learn more about Combination formula, refer:
https://brainly.com/question/16837159
#SPJ4
Find the magnitude and direction of the equilibrant of each of the following systems of forces.
A) Forces of 32N and 48N acting at an angle of 90° to each other
Answer: To find the magnitude and direction of the equilibrant of a system of forces, we first need to find the resultant of the forces, and then find the force that will balance the resultant.
For the given system of forces, we can use the Pythagorean theorem to find the magnitude of the resultant:
R = sqrt(32^2 + 48^2)
= sqrt(1024 + 2304)
= sqrt(3328)
≈ 57.7 N
The direction of the resultant can be found using trigonometry:
tan(theta) = opposite / adjacent
where theta is the angle between the forces, which is 90° in this case. We can choose either force as the adjacent side, and the other force as the opposite side. Let's choose the 32 N force as the adjacent side:
tan(theta) = 48 / 32
theta = atan(48/32)
≈ 56.3°
This means that the resultant has a magnitude of approximately 57.7 N and is directed at an angle of approximately 56.3° to the 32 N force.
To find the equilibrant, we need to find a force that has the same magnitude as the resultant but acts in the opposite direction. We can use the same magnitude and opposite direction to find the equilibrant as:
E = -R
= -57.7 N
This means that the equilibrant has a magnitude of 57.7 N and acts in the opposite direction to the resultant, which is at an angle of approximately 56.3° to the 32 N force.
Step-by-step explanation:
evaluate each expression for the value given.9.85 × s; s = 4
Answer:
39.4
Explanation:
Given the expression
9.85 × s
We are to find the equivalent value if s = 4
Substitute;
9.85 × s
= 9.85 × 4
= 9.85 × 2 * 2
= 19.7*2
= 39.4
Hence the value of the expression when s = 4 is 39.4
Solve the initial value problem du/dt=e^3u+10t
u(0)=6
u(t)=(-1/3 in(3/10(1-e^10t+(10/3)e^(-6))
The solution to the initial value problem is u(t) = (-1/3)ln(3/10(1 - e^10t)) + (10/3)e^(-6). The solution involves logarithmic and exponential functions, reflecting the behavior of the given differential equation.
To solve the given initial value problem, we'll start by separating the variables. We rewrite the equation as:
du/(e^3u + 10t) = dt
Integrating both sides with respect to u and t, we have:
∫(1/(e^3u + 10t))du = ∫dt
The integral on the left side can be challenging, but we can simplify it by using a substitution. Let's substitute v = e^3u + 10t. Taking the derivative with respect to t, we get dv/dt = 3e^3u + 10. Rearranging the terms, we have 3e^3u = dv/dt - 10. Dividing by 3, we get e^3u = (1/3)(dv/dt - 10). Substituting this back into our equation, we have:
∫(1/v)dv = ∫dt
The integral of (1/v) with respect to v is ln|v|. Integrating both sides, we obtain:
ln|e^3u + 10t| = t + C
Solving for e^3u + 10t, we have:
e^3u + 10t = e^(t+C)
Next, we apply the initial condition u(0) = 6. Substituting t = 0 and u = 6 into the equation, we get:
e^(3*6) + 10(0) = e^C
e^18 = e^C
Thus, C = 18. Substituting this value back into our equation, we have:
e^3u + 10t = e^(t+18)
Finally, solving for u, we get:
u(t) = (-1/3)ln(3/10(1 - e^10t)) + (10/3)e^(-6)
This is the solution to the initial value problem. It is obtained by integrating both sides of the equation, applying the initial condition, and solving for u in terms of t.
Learn more about differential equations here:
brainly.com/question/32645495
#SPJ11
The nth term of a sequence is given by 3n + 7.
Write down the fifth term of this sequence.
I
what's $90.94 with 50% off..?
Answer:
Write 50% as a decimal number:
STEP 2: Multiply by 90.94:
Step-by-step explanation: answer is 49.47
Answer:
45.47$
Step-by-step explanation:
50% means to cut things off by half
When studying for his test, Joe found a z-score for the weight of a particular rock to be 1.48
What does this z-score mean in the context the distribution of data collected from the weights of all rocks studied.
Answer:
it is about 99% on a graph
Step-by-step explanation:
Question 2
Answer
Sid saves $8,000 into a savings account earning 4.5% interest. How long
will it take to double Sid's savings
Answer:
You divide 72 by the annual rate of return you receive on your investments, and that number is a rough estimate of years it takes to double your money.
Determine which of the points (−4,5), (4,3), and (1,2) lie on both the lines −x1−4x2=−16 and −3x1−5x2=−13.
The only point that lies on both lines is (-4,5).
To determine which of the points (−4,5), (4,3), and (1,2) lie on both the lines −x1−4x2=−16 and −3x1−5x2=−13, we need to check if the coordinates of each point satisfy both of the equations.
For the first line, we can rewrite it as x2 = (-x1 + 16)/4 and for the second line, we can rewrite it as x2 = (-3x1 + 13)/5.
Substituting the coordinates of each point into these equations, we get:
For the point (-4,5):
-4(2) + 16/4 = -4 + 4 = 0, and
-3(-4) + 13/5 = 12/5 + 13/5 = 25/5 = 5.
Therefore, (-4,5) satisfies both equations.
For the point (4,3):
4(2) + 16/4 = 8 + 4 = 12, and
-3(4) + 13/5 = -12 + 13/5 = -47/5.
Therefore, (4,3) does not satisfy both equations.
For the point (1,2):
-1(2) + 16/4 = -2 + 4 = 2, and
-3(1) + 13/5 = -3 + 13/5 = 2/5.
Therefore, (1,2) does not satisfy both equations.
Therefore, the only point that lies on both lines is (-4,5).
When given two equations, the solution can be found by solving the system of equations. To solve a system of equations, one should find the values of x and y that satisfy both equations. The solution to the system is the point (x,y) that satisfies both equations.
Know more about "equations":-
https://brainly.com/question/14114409#
#SPJ11
I need to pass so can somebody answer this plz
B. x = y
Hope this helps! :)
Answer:
x = y
Step-by-step explanation:
∠x and ∠y are corresponding angles
corresponding angles are congruent ( equal to each other )
Hence x = y
Are the lengths of one house proportional to the lengths of the other house? why or why not? how can you use scale factors to show that the homes are or are not proportional? what role does surface area take in the building of a house? what advantages exist for a house with a large amount of surface area exposed to the elements? explain.
The lengths of one house may or may not be proportional to the lengths of the other house. Whether or not they are proportional depends on the specific measurements of the houses.
To determine if the lengths are proportional, we can use scale factors. A scale factor is a ratio that compares the measurements of two similar objects. If the scale factor between the lengths of the two houses is the same for all corresponding sides, then the houses are proportional.
For example, if House A has lengths of 10 feet, 15 feet, and 20 feet, and House B has lengths of 20 feet, 30 feet, and 40 feet, we can calculate the scale factor by dividing the corresponding lengths. In this case, the scale factor would be 2, because 20 divided by 10 is 2, 30 divided by 15 is 2, and 40 divided by 20 is 2. Since the scale factor is the same for all corresponding sides, the houses are proportional.
Surface area plays a role in the building of a house because it determines the amount of material needed to construct the house. The surface area is the sum of the areas of all the exposed surfaces of the house, including the walls, roof, and floor. The larger the surface area, the more materials will be required for construction.
A house with a large amount of surface area exposed to the elements has certain advantages. It allows for more natural light to enter the house, potentially reducing the need for artificial lighting during the day. It also provides more opportunities for ventilation and airflow, which can help regulate the temperature inside the house. Additionally, a larger surface area can accommodate more windows, which can enhance the views and aesthetics of the house. However, it's important to note that a large surface area also means more exposure to weather conditions, which may require additional maintenance and insulation to ensure the house remains comfortable and energy-efficient.
Learn more about Surface area here: https://brainly.com/question/76387
#SPJ11
The plane is equipped with an orthogonal frame (0, i, j).
Let (d) be the line with cartesian equation:
(d) : 2x-3y+1=0 and A(-4,3)
Find the coordinates of the orthogonal projection of A on the (d).
Answer:
what
Step-by-step explanation:
you know you should drink some water. 75% of americans are dehydrated and don't know it. being hydrated will fix your problems. because being dehydrated will make you not able to do simple math :)
Me.Dorado has completed 75% of his morning run which of lowing sets does NOT represent 75%
Answer:
H.
Step-by-step explanation:
Prove:tan^3x/sin^2x-1/sinx.cosx+cot^3x/cos^2x=tan^3x+cot^3x
Answer:
picture above my answer is the answer you asked
Find the distance between the two points (-4,4) and (1,0)
Answer:
The answer is
\( \sqrt{41} \: \: \: units\)Step-by-step explanation:
The distance between two points can be found by
\( \sqrt{ ({x _{1} - x_{2} })^{2} + ({y_{1} } - y_{2} )^{2} } \)
where
( x1 , y1) and ( x2 , y2) are the points
So the distance between (-4,4) and (1,0) is
\( \sqrt{( { - 4 - 1})^{2} + ( {4 - 0})^{2} } \)\( = \sqrt{ ({ - 5})^{2} + {4}^{2} } \)\( = \sqrt{25 + 16} \)We have the final answer as
\( \sqrt{41} \: \: \: units\)Hope this helps you
Last question find measure of arc Su
Check the picture below.
\(52x=\cfrac{154-50x}{2}\implies 104x=154-50x\implies 154x=154\implies x=\cfrac{154}{154} \\\\\\ x=1\hspace{9em}\stackrel{ 50(1) }{\widehat{SU}=50^o}\)
Let A={0,2,3},B={2,3},C={1,4}, and let the universal set be U={0,1,2,3,4}. List the elements of (a) A×B (e) A×A c
(b) B×A (f) B 2
(c) A×B×C (g) B 3
(d) U×∅ (h) B×P(B) Let A={+,−} and B={00,01,10,11}. (a) List the elements of A×B (b) How many elements do A 4and (A×B) 3 have? What can you say about A if U={1,2,3,4,5},B={2,3}, and (separately) (a) A∪B={1,2,3,4} (b) A∩B={2} (c) A⊕B={3,4,5}(separately) (a) A∪B={1,2,3,4} (b) A∩B={2} (c) A⊕={3,4,5}
let the list of element
(a) A×B: {(0, 2), (0, 3), (2, 2), (2, 3), (3, 2), (3, 3)}
(b) B×A: {(2, 0), (2, 2), (2, 3), (3, 0), (3, 2), (3, 3)}
(c) A×B×C: {(0, 2, 1), (0, 2, 4), (0, 3, 1), (0, 3, 4), (2, 2, 1), (2, 2, 4), (2, 3, 1), (2, 3, 4), (3, 2, 1), (3, 2, 4), (3, 3, 1), (3, 3, 4)}
(d) U×∅: ∅ (empty set)
(e) A×A: {(0, 0), (0, 2), (0, 3), (2, 0), (2, 2), (2, 3), (3, 0), (3, 2), (3, 3)}
(f) B^2: {(2, 2), (2, 3), (3, 2), (3, 3)}
(g) B^3: {(2, 2, 2), (2, 2, 3), (2, 3, 2), (2, 3, 3), (3, 2, 2), (3, 2, 3), (3, 3, 2), (3, 3, 3)} (h) B×P(B): {(2, ∅), (2, {2}), (2, {3}), (2, {2, 3}), (3, ∅), (3, {2}), (3, {3}), (3, {2,
(a) A×B: {(+, 00), (+, 01), (+, 10), (+, 11), (-, 00), (-, 01), (-, 10), (-, 11)}
(b) A^4: A×A×A×A, which has 16 elements.
(A×B)^3: (A×B)×(A×B)×(A×B), which also has 16 elements.
If A∪B = {1, 2, 3, 4}:
(a) A = {1, 2, 3, 4} or A = {1, 3, 4}
(b) A∩B = {2}
(c) A⊕B = {1, 3, 4}
If A∪B = {1, 2, 3, 4}:
(a) A = {1, 2, 3, 4}
(b) A∩B = {2}
(c) A⊕ = {3, 4, 5}
Learn more about element here
https://brainly.com/question/31950312
#SPJ11
If you sell 225 shares of Dryas Security at $5. 12 per share and 340 shares of Cilla Shipping at $12. 43 per share, how much money will you receive, to the nearest dollar? a. $1,152 b. $5,378 c. $4,226 d. $3,074.
Answer:
the answer to your question Is B $5,378
Triangle UVW has vertices at U(−2, 0), V(−3, 1), W(−3, 3). Determine the vertices of image U′V′W′ if the preimage is rotated 180° counterclockwise.
U′(0, −2), V′(−1, −3), W′(−3, −3)
U′(0, −2), V′(1, −3), W′(3, −3)
U′(2, 0), V′(3, −1), W′(3, −3)
U′(−1, 0), V′(−3, 0), W′(3, −3)
To determine the vertices of image U′V′W′ after a 180° counterclockwise rotation, we can apply the following transformation rules:
A 180° counterclockwise rotation of a point (x, y) about the origin produces the point (-x, -y).To perform a rotation of a polygon, we apply the transformation rule to each vertex of the polygon.Using these rules, we can find the vertices of image U′V′W′ as follows:
Vertex U(-2, 0) is transformed to U′(0, -2), since (-(-2), -(0)) = (2, 0) becomes (0, -2) after the rotation.Vertex V(-3, 1) is transformed to V′(1, -3), since (-(-3), -(1)) = (3, -1) becomes (1, -3) after the rotation.Vertex W(-3, 3) is transformed to W′(3, -3), since (-(-3), -(3)) = (3, 3) becomes (3, -3) after the rotation.Therefore, the vertices of image U′V′W′ after a 180° counterclockwise rotation are U′(0, -2), V′(1, -3), and W′(3, -3).
So, the answer is option (b) U′(0, −2), V′(1, −3), W′(3, −3).
a fish is 12 m below the surface of the ocean what is the elevation of sea bird is 28 m above the surface of the ocean what is the elevation if the bird is directly above the fish how far apart are they
Answer:
40m???
Step-by-step explanation:
please helppp mee!!!
Answer:
$3.50
Step-by-step explanation:
2+2x=9
2x=7
x=3.5
$3.50
A math tutor decides to increase his wage by 11%. What expression shows his new wage after the 11%
Answer:
1.11w
Step-by-step explanation:
Let initial wage = w
Percentage increase in wage = 11%
Using the relation :
New Amount = initial * (1 + % increase)
New Amount = w * (1 + 0.11)
New amount = w * (1.11)
New amount = 1.11w
attempt 4 the rate of the given reaction is 0.420 m/s.0.420 m/s. a 3b⟶2c a 3b⟶2c what is the relative rate of change of each species in the reaction?
the relative rate of change of each species in the reaction can be determined using stoichiometry.
The stoichiometry of the reaction tells us that for every 3 moles of species A consumed, 2 moles of species C are produced. Therefore, the relative rate of change of species A can be calculated by multiplying the rate of the reaction (0.420 m/s) by the stoichiometric coefficient of A (-3), and dividing by the stoichiometric coefficient of C (2). Similarly, the relative rate of change of species B can be calculated by multiplying the rate of the reaction by the stoichiometric coefficient of B (-1) and dividing by the stoichiometric coefficient of C (2). The relative rate of change of species C is simply equal to the rate of the reaction.
the relative rate of change of each species in the reaction can be determined by applying stoichiometry. The relative rate of change of species A is (-0.630 m/s), the relative rate of change of species B is (-0.210 m/s), and the relative rate of change of species C is (0.420 m/s).
To know more about rate visit:
https://brainly.com/question/25565101
#SPJ11
8 points on this WUESTIONNNNNNNNNN
Answer:
x=30
Step-by-step explanation:
2 times 1/2(x+6)=18 times 2
x+6=36
x+6-6=36-6
x=30
whomever is reporting me please stop(echo2155)
Answer:
Step-by-step explanation:
First you have to perform distributive property which is
2((x+6)=18) 2
Which will turn to
X+6=36
Then move the constant to the right so
X=36-6 then calculate
So the answer is 30
The value of x is 30