Thus, probability that the sample of milk chocolate contains 25% or more orange candies is 89.44%.
Explain about the Normal Approximation?When the number of n is quite big and the value of p is quite small, the Normal Approximation to Binomial Distribution might be employed. Both np and nq must have values greater than 5.
Since the normal distribution is an example of a continuous probability distribution and the binomial distribution seems to be an example of a discrete probability distribution, the continuity correction is utilised.
Given data:
p = 20% = 0.201 - p = 1 - 0.20 = 0.80x = 25% = 0.25sample size n = 100Find standard deviation:
s = √p*(1 - p)/n
s = √0.2*0.8/100
s = 0.04
Z score:
z = (x - μ)/s
z = (0.25 - 0.20)/0.04
z = 1.25
Now, probability that the sample contains 25% or more orange candies:
P(x ≥ 0.25) = (z ≥ 1.25)
From z score table:
P(x ≥ 0.25) = 0.8944
P(x ≥ 0.25) = 89.44
Thus, probability that the sample of milk chocolate contains 25% or more orange candies is 89.44%.
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i’m think it’s A or C. help :(
Answer:
girly
Step-by-step explanation:
I'd tell u to go with c I could be wrong tho but that's my guess and tell me if I got it right okay?
Step-by-step explanation:
the answer is n²
n plus n is 2n
and we have 2n as option b.. pls the answer is 2n
what is the volume of a rectangular prism with a length of 5 cm, a height of 3 cm, and a width of 10 cm?
Answer:
V=150cm³
Step-by-step explanation:
Formula: w×h×l
V rectangular prism: 10×3×5= 150cm³
An investor invests $525 in stock. For each month following, the stock increased at a rate of $25 per
month
Identify the slope of the linear relationship. Explain what the slope represents in the context of the
problem
• identify the y-intercept of the linear relationship. Explain what the y-intercept represents in the
context of the problem.
Create a model/build the function/write the equation in slope-intercept form to represent the total
value of the stock, f (2), based on the number of months, I.
Answer: f(x) = mx+ b
slope = m = $25 / month
This means that for every month (x) that goes by, the total value of the stock (f(x)) will increase by $25.
y-intercept = b = $525
This is the amount of money in the account at time = 0. This will be equal to the original investment of $525.
f(x) = mx+ b = 25x + 525
Step-by-step explanation:
6sin^2 (x) + 6sin (x) + 1 = 0
solve and show steps for the graph ( i already have the graph )
To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.
1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.
2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.
3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.
4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.
5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].
6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.
7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.
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Find the area. The figure is not drawn to scale.
a
1440 in.2
b
1188 in.2
c
138 in.2
d
69 in.2
Answer:
A
Step-by-step explanation:
40 x 36 = 1440 in.2
Rob opens a savings account with $330 V that earns 5% interest per year, not compounded.
How much money, to the nearest penny, will Rob have in 5 years?
The amount of money that Rob will have in five years is $412.50.
How much will he have in 5 years?The savings account earns a simple interest. The amount of money she will have in 5 years is the sum of the amount that she deposited and the interest she has earned.
Value of the account in 5 years = amount deposited + interest
Interest = amount deposited x interest x number of years
= $330 x 0.05 x 5 = $82.50
Value of the account in 5 years = $82.50 + $330 = $412.50
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whats -6a+3=-3(2a-3) solution
infinite solutions cuz 0=6
☽------------❀-------------☾
Hi there!
~
\(-6a+3=-3(2a-3)\)
\(0 = 6\)
There are no solutions.
❀Hope this helped you!❀
☽------------❀-------------☾
PLS HELP WILL GIVE BRAINLIEST
Answer:
First row - 1/2 x -4-1
Second row - 1/4 + -1/2 / -1/4
Third Row - -8 / 1/4 / -4
Step-by-step explanation:
What do the coordinates of an undefined slope have in common?
The coordinates of an undefined slope are points that are either the same or have no x-value. In both cases, the slope of a line between these points would be undefined because it would involve dividing by 0, which is not allowed in mathematics. This is because the slope of a line is calculated by dividing the difference in y-coordinates by the difference in x-coordinates, and if the x-coordinates are the same or do not exist, this division would result in an undefined value.
The total cost for 80 students on a class trip to stay at a hotel for 1 night was $4600
before tax. The hotel tax is 13%. What is the cost for one student to stay one night
at the hotel, including tax?
4,600 / 80 = 57.5 (How much for one student)
What is 13% of 57.5? 7.475. (How much tax is)
So, 57.5 + 7.475 = 64.975. (How much one student is with tax)
in a cell where the two half reactions are identical, the standard potential e0 is equal to
It is important to note that while the standard potential (E°) of each half-reaction may be zero in this case, the actual cell potential (E) can still be influenced by factors such as concentrations, temperature, and pressure.
In a cell where the two half-reactions are identical, the standard potential (E°) is equal to zero.
The standard potential (E°) of a half-reaction is a measure of the tendency of a species to gain or lose electrons. It is defined as the potential difference between the half-reaction and a standard reference electrode, usually the standard hydrogen electrode (SHE), under standard conditions (1 M concentration, 1 atm pressure, 25°C temperature).
When the two half-reactions in a cell are identical, it means that they involve the same species undergoing the same oxidation or reduction process. In this case, the half-cell potentials of both half-reactions are equal in magnitude but have opposite signs. The overall cell potential (Ecell) will be the difference between these two potentials, resulting in a net potential of zero.
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The function notation F(x) can be written as a variable in an equation. Is that variable x or y?
Answer:
F(x) is the exact same thing as just putting y. Thus, the variable is y.
Which is a counterexample that disproves the statement "All the multiples of 5 are divisible by 2"?
A counterexample that disproves the statement "All the multiples of 5 are divisible by 2" is 35. Therefore, option D is the correct answer.
What are multiples of a number?A multiple in math are the numbers you get when you multiply a certain number by an integer.
The given statement is "All the multiples of 5 are divisible by 2".
Here,
B) 30
Here, 30 is divisible by 2.
C) 20
Here, 20 is divisible by 2.
D) 35
Here, 35 is not completely by 2
A counterexample that disproves the statement "All the multiples of 5 are divisible by 2" is 35. Therefore, option D is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
Which is a counterexample that disproves the statement "All the multiples of 5 are divisible by
2"?
A) There is no counterexample because this assertion is true.
B) 30
C) 20
D) 35
Mrs. Remeto separate would like to buy a television TV set payable for 6 months starting at the end of the month how much is the cost at the TV set if her monthly payment is P3,000 and interest is 9% compounded semi annually?
If her monthly payment is P3,000 and interest is compounded semi-annually at 9%, the cost of the TV set comes to P17,545.08.
What is compound interest?Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
It occurs when interest is reinvested, or added to the loaned capital rather than paid out, or when the borrower is required to pay it, so that interest is generated the next period on the principal amount plus any accumulated interest.
In finance and economics, compound interest is common.
In contrast to simple interest, which does not compound since past interest is not added to the principal for the current period, compound interest allows interest to build over time.
The interest per period multiplied by the number of periods in a year yields the simple annual interest rate.
According to our question-
9% = 0.09 / 2
=0.045 + 1 =1.045^(1/6)
=1.00736312 - 1 x 12 x 100
=8.836%
PV=0;
PMT=3000;
R=0.08836/12; N=6; PV
=PMT*(((1 + R)^N - 1)*((1 + R)^-N)* R^-1)
PV==17,545.08
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how is the formula for a trapezoid derived using the area formula for a rectangle and math properties
Using the area formula for a rectangle and considering the geometric properties of a trapezoid, we have derived the formula for finding the area of a trapezoid.
The formula for the area of a trapezoid can be derived by using the area formula for a rectangle and some mathematical properties.
Let's consider a trapezoid with bases of lengths b1 and b2, and a height h. To find the area of the trapezoid, we can break it down into two parts: a rectangle and two right triangles.
Start by drawing a straight line parallel to the bases of the trapezoid to create a rectangle.
The length of the rectangle is the average of the lengths of the two bases: (b1 + b2) / 2.
The width of the rectangle is equal to the height of the trapezoid: h.
The area of the rectangle is given by the formula: Area_rectangle = length * width = ((b1 + b2) / 2) * h.
Now, we need to subtract the areas of the two right triangles formed outside the rectangle.
Each right triangle has a base equal to the difference between one of the trapezoid bases and the length of the rectangle: (b1 - ((b1 + b2) / 2)) and (b2 - ((b1 + b2) / 2)).
The height of each right triangle is equal to the height of the trapezoid: h.
The area of a right triangle is given by the formula: Area_triangle = (base * height) / 2.
Therefore, the combined area of the two right triangles is: 2 * [(b1 - ((b1 + b2) / 2)) * h / 2].
Simplifying the expression: (b1 - ((b1 + b2) / 2)) * h = (b1 - b1/2 - b2/2) * h = (b1/2 - b2/2) * h = ((b1 - b2) / 2) * h.
Adding the area of the rectangle and subtracting the combined area of the two right triangles, we get the formula for the area of the trapezoid:
Area_trapezoid = ((b1 + b2) / 2) * h - ((b1 - b2) / 2) * h.
Simplifying further, we can factor out the common factor of h:
Area_trapezoid = (b1 + b2 - (b1 - b2)) * h / 2.
Finally, simplifying the expression within the parentheses:
Area_trapezoid = (2b2) * h / 2.
This simplifies to the formula for the area of a trapezoid:
Area_trapezoid = (b1 + b2) * h / 2.
Therefore, using the area formula for a rectangle and considering the geometric properties of a trapezoid, we have derived the formula for finding the area of a trapezoid.
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Find the value of x in the equation below. 1=x -18
Answer:
x = 19
Step-by-step explanation:
1 = x - 18
1 + 18 = x
x = 19
Help me out pls!
Ty!
The shortest walking distance from the theater to the library is given as follows:
d = 1.34 miles.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
The theorem is expressed as follows:
c² = a² + b².
In which:
c is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.In the context of this problem, we have that the shortest walking distance is the straight-line distance, which is the hypotenuse of a right triangle with side lengths given as follows:
0.2 miles -> vertical distance, 2 x 0.1 = 0.2.1.75 miles -> horizontal distance, 7 x 0.25 = 1.75Hence the distance is obtained as follows:
d² = 0.2² + 1.75²
d = sqrt(0.2² + 1.752)
d = 1.34 miles.
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What digit is in the ten thousand place 7,612,045
Answer:
the digit in the ten thousandths place is 1
Step-by-step explanation:
Answer:
1 is the digit that is in the ten thousandth place
Step-by-step explanation:
can i get brainlisest
i don't understand how to do this
Ignore my work under the question but how do I do this?
4 - 7x ≥ 11, The graph will be a straight line parallel to y axis passing through x = -1 and the right hand side of the graph will be the solution.
-9x - 3 ≤ -57, The graph will be a straight line parallel to y axis passing through x = 6 and the left hand side of the graph will be the solution.
What is Inequality ?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
A assertion that an inequality exists between two values is known as an equation. It is often expressed as a pair of expressions specifying the relevant values and a relational sign showing the particular inequality connection between them.
Treat the,≥, >, or sign as a = sign when putting an inequality on a graph. Graph the equation as a dotted line if the inequality is either or. Graph the equation as a solid line if the inequality is either or.
The Equation are :
4 - 7x ≥ 11
⇒ x ≥ -1
The graph will be a straight line parallel to y axis passing through x = -1 and the right hand side of the graph will be the solution.
Again
-9x - 3 ≤ -57
-9x ≤ -54
x ≤ 6
The graph will be a straight line parallel to y axis passing through x = 6 and the left hand side of the graph will be the solution.
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Given g(x) = x2-4
Find g(-3)
Answer:
-10
Step-by-step explanation:
g(-3)=3×3 -4
=9-4
=5
Answer: 5
Step-by-step explanation:
g(x)=x²-4
g(-3)=(-3)²-4
g(-3)=9-4
g(-3)=5
Hope this helps!! :)
Please let me know if you have any question or need any further explanation
30. Trisha wants to create the perpendicular bisector of a line segments
AB. She places her compass of point A and opens it with the width more
than 1/2 the length of the line segment AB. She makes arcs above and
below the line segment. What could be Trisha's next step to create the
perpendicular bisector of line segment AB?
A
>connect the two arcs using a straightedge
B>connect each arc with point B using a straightedge
C>place the compass on the approximate midpoint and draw intercepting arcs
D>place the compass on point B and complete the same steps that she did for point A
The answer is D:
Place the compass on point B and complete the same steps that she did for point A
The process is that you draw arcs above and below the line from both ends, but it's crucial that the compass' radius is the same from both ends of the line. Then you draw the line that connects the two intersection points to form your perpendicular bisector.
solve sinx = 2x-3 using false position method
The root of the equation sinx = 2x-3 is 0.8401 (approx).
Given equation is sinx = 2x-3
We need to solve this equation using false position method.
False position method is also known as the regula falsi method.
It is an iterative method used to solve nonlinear equations.
The method is based on the intermediate value theorem.
False position method is a modified version of the bisection method.
The following steps are followed to solve the given equation using the false position method:
1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.
Here, f(x) = sinx - 2x + 3.
2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))
3. Evaluate the function at point c and find the sign of f(c).
4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.
5. Repeat the steps 2 to 4 until we obtain the required accuracy.
Let's solve the given equation using the false position method.
We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.
So, the root lies between 0 and 1.
The calculation is shown in the attached image below.
Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).
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Joe was in charge of lights for a dance. The red light blinks every two seconds, the yellow light every three seconds, and the blue light every five seconds. If we include the very beginning and very end of the dance, how many times during a seven minute dance will all the lights come on at the same time
Answer:
We consider:
T1 = 2s
T2 = 3s
T3 = 5s
We calculate the least common multiple of the Ts:
Ttot = 30 s.
During a seven minute dance the lights will come on at the same time:
7*60 s / 30 = 14 times.
In a span of 7 minutes, the lights will blink together 14 times.
What is LCM?LCM of two or more than two given numbers is the smallest common multiple that is divisible by two or more than two given numbers.
Given, Joe was in charge of lights for a dance.
The red light blinks every two seconds, the yellow light every three seconds, and the blue light every five seconds.
∴ LCM of 2, 3, and 5 is 30 so the lights blink together after every 30 seconds.
So, in 7 minutes or (7×60) = 420 seconds the lights will blink together
(420/30) = (42/3) = 14 times.
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Solve for
x
x/
12
+
1
=
6
Answer:
x
=
−
2
1
2
Step-by-step explanation:
Answer:
x = 60
Step-by-step explanation:
x/12 is the same as 1/12x
so now the equation is 1/12x+1=6
then to simplify it even more we do -1 from both sides so
1/12x+1=6
-1 -1
again the equation is 1/12x=5
then we multiply both sides by 12 and get x = 60
Help please!!! ASAPPPP
It should be noted that z^4 will be -32 in rectangular form.
How to calculate the valueBased on the information, z = r(cos θ + i sin θ), and provided positive integer n, then it is implied that:
z^n = r^n (cos nθ + i sin nθ)
In this instance, we need to solve for z^4 in rectangular form when z = -2 - 2i. Firstly, we must calculate |z| and arg(z):
|z| = √((-2)^2 + (-2)^2) = 2√2
arg(z) = arctan(-2/-2) = π/4
Leveraging De Moivre's theorem, we can effectively deduce the value of z^4 as:
z^4 = (2√2)^4 (cos (4π/4) + i sin (4π/4))
= 32 (cos π + i sin π)
= -32
Concludedly, z^4 resolved in rectangular form is -32.
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Wildhorse provides environmentally friendly lawn services for homeowners. Its operating costs are as follows.
Depreciation
Advertising
Insurance
Weed and feed materials
Direct labor
Fuel
$1,400 per month
$150 per month
$2,475 per month
$20 per lawn
$12 per lawn
$3 per lawn
wildhorse charges $70 per treatment for the average single-family lawn.
Determine the company's break-even point in number of lawns serviced per month.
Therefore, Wildhorse needs to service at least 2 lawns per month to break even and cover its operating costs.
To determine the break-even point for Wildhorse in terms of the number of lawns serviced per month, we need to calculate the total cost and the contribution margin per lawn.
Total cost per lawn = Depreciation + Advertising + Insurance + Weed and feed materials + Direct labor + Fuel
= $1,400 + $150 + $2,475 + $20 + $12 + $3
= $4,060
Contribution margin per lawn = Revenue per lawn - Total cost per lawn
= $70 - $4,060
= -$3,990
The contribution margin is negative, indicating that the company incurs a loss of $3,990 per lawn serviced.
To determine the break-even point, we divide the fixed costs by the contribution margin per lawn:
Break-even point (in number of lawns) = Total fixed costs / Contribution margin per lawn
= $4,060 / (-$3,990)
≈ 1.019 lawns
Since we can't have a fraction of a lawn, the break-even point is rounded up to 2 lawns serviced per month.
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I will give brainliest!!!!
Which expressions are equivalent to z + (z + 6)?
Choose all answers that apply:
(Choice A)
A
(z+z) + (z+6)
(Choice B)
B
(z+6) +6
(Choice C)
C
2(z+3)
Answer:
I think A and B
Step-by-step explanation:
Sorry I am unsure but hope I helped a little
Answer is C
Hoped this helped (let me know if it did)
For a given triangle it is known that cos A =-0.5, where 0°
Based on the information given above, the value of angle(s) A in standard position
could be
A)60°
B)120°
C)210°
D)300°
Answer:
120
Step-by-step explanation:
Here, we want to get the possible value of A
Now, we should understand that the value of an angle in triangle cannot be more than 180
Also, cosine can only be negative in the second and the 3rd quadrant
So,
arc cos (-0.5) = 120 , 300 , 60
But 60 is not correct as it will give a negative value
300 is not correct also as it is more than the angles present in a triangle
Thus, our answer is 120
Mr. Adams divides 223 markers equally among the 26 students in his
class. He puts the
extra markers in a box. What is the least number of
markers he puts in the box?
Answer: 15
Step-by-step explanation:
223 / 26
8 reminder 15
he has to put the remainder in the box