Answer:
b
Step-by-step explanation:
the bottom two say the same thing twice and the first one forgot the last segment
2x + 3y = 12
2x - y = 4
Answer:
The point of intersection between 2x+3y=12 and 2x-y=4 is (3,2)
Step-by-step explanation:
a bag contains four red jelly beans and 7 green jelly beans. what is the probability of randmly wuthdrawing 5 jellybeans such that at least 2 are red
To find the probability of randomly withdrawing 5 jellybeans such that at least 2 are red, we need to find the total number of ways to select 5 jellybeans from the bag and then find the number of ways to select 2 or more red jellybeans.
Let's first find the total number of ways to select 5 jellybeans from the bag:
Total number of jellybeans = 4 red + 7 green = 11 jellybeans
Number of ways to select 5 jellybeans from 11 = 11 choose 5 = 462
Next, we need to find the number of ways to select 2 or more red jellybeans:
Number of ways to select 2 red jellybeans = 4 choose 2 = 6
Number of ways to select 3 red jellybeans = 4 choose 3 = 4
Number of ways to select 4 red jellybeans = 4 choose 4 = 1
Total number of ways to select 2 or more red jellybeans = 6 + 4 + 1 = 11
The desired probability is the ratio of the number of favorable outcomes (selecting 2 or more red jellybeans) to the total number of possible outcomes (selecting 5 jellybeans):
P(at least 2 red) = 11/462 = 11/462 = 0.0239 or 2.39%
So, the probability of randomly withdrawing 5 jellybeans such that at least 2 are red is 2.39%.
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45. You decide to market your own custom computer software. You must invest $3,255 for
computer hardware, and spend $2.90 to buy and package each disk. If each program sells
for $13.75, write a system of equations and determine how many disks you must sell to
break even.
I'm not sure what the answer is could anyone help?
a)From this 230 is divisible by 10.Then 995 and 526 are not divisible by 10.b)From this 230 and 995 are divisible by 5 and 526 is not divisible by 5.c) From this 230,995,526 are divisible by 2.
Divisibility by 10: A number is divisible by 10 if its last digit is 0. Therefore, 230 is divisible by 10 since its last digit is 0. 995 and 526 are not divisible by 10 since their last digits are not 0. The mathematical formula for divisibility by 10 is: (10 | N) = 0,Where N is the number that is being tested for divisibility. Calculation: For example, let's take the number 230. (10 | 230) = 0230/10 = 23 Therefore, 230 is divisible by 10. Divisibility by 5: A number is divisible by 5 if its last digit is 0 or 5. Therefore, 230 and 995 are divisible by 5 since their last digits are 0 and 5 respectively. 526 is not divisible by 5 since its last digit is not 0 or 5. The mathematical formula for divisibility by 5 is: (5 | N) = 0Where N is the number that is being tested for divisibility. Calculation: For example, let's take the number 995. (5 | 995) = 0995/5 = 199 .Therefore, 995 is divisible by 5. Divisibility by 2: A number is divisible by 2 if its last digit is 0, 2, 4, 6 or 8. Therefore, 230, 995, and 526 are all divisible by 2 since their last digits are 0, 5 and 6 respectively. The mathematical formula for divisibility by 2 is: (2 | N) = 0Where N is the number that is being tested for divisibility. Calculation: For example, let's take the number 526. (2 | 526) = 0.526/2 = 263 .Therefore, 526 is divisible by 2.
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One paperclip has the mass of 1 gram. 1,000 paperclips have a mass of 1 kilogram. How many kilograms are 5,600 paperclips?
Therefore , the solution of the given problem of unitary method comes out to be weight of 5,600 paper clips is 5.6 kg as a result.
Define unitary method.Using what was learnt, using this diversified approach, and combining all relevant variable from two experts who employed a particular methodology will enable completion of the assignment. The entity indicated in the statement will either also be identified, or both crucial processes will really overlook the expression, if the required assertion outcome materialises. A refundable fee of Rupees ($1.21) may be necessary for fifty pens.
Here,
One kilogramme is equal to 1,000 paper clips, as we are aware. Hence, by dividing 1 by 1,000, we can determine the mass of a single paperclip in kilogrammes:
=> Paperclips weigh one gramme, or 0.001 kilos.
We may multiply the mass of one paperclip by 5,600 to discover the mass of 5,600 paperclips:
=> 5,600 paperclips = 5,600 * 0.001 kilograms
=> 5,600 paperclips = 5.6 kilograms
The weight of 5,600 paper clips is 5.6 kg as a result.
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I Need Help With This Question
Answer:
Step-by-step explanation:
Dont do it. Just take the detention
The library is 0.96 mile away from Theo’s home. Write this distance as a fraction in simplest form
Answer:
the answer is 24/25
hope it helps have a nice day! :)
a large clock has a minute hand of length 1 foot, and an hour hand of length 1/2 feet. how fast is the distance between the tips of the two hands changing at 6 : 20 pm?
The distance between the tips of the minute and hour hands of a large clock is changing at a rate of approximately 0.0084 feet per minute at 6:20 pm.
To find the rate at which the distance between the tips of the two hands is changing, we can use the concept of related rates. Let's consider the minute hand and the hour hand as they move on the clock face.
At 6:20 pm, the minute hand is pointing at the 4 on the clock, and the hour hand is pointing between the 6 and 7 on the clock. We can calculate the angle between the two hands by taking the difference in their positions. The minute hand has moved 20 minutes past the 6, which corresponds to 1/3 of the clock's circumference, or 2π/3 radians. The hour hand has moved 1/3 of the way between the 6 and 7, which corresponds to 1/12 of the clock's circumference, or π/6 radians.
The distance between the tips of the hands can be found using the law of cosines. Considering the minute hand as the side a (length 1 foot), the hour hand as the side b (length 1/2 feet), and the angle between them as θ (π/6 - 2π/3), we can use the formula: c^2 = a^2 + b^2 - 2ab*cos(θ).
By substituting the given values, we have c^2 = (1)^2 + (1/2)^2 - 2(1)(1/2)*cos(π/6 - 2π/3).
Simplifying, c^2 = 5/4 - √3/2.
Differentiating both sides with respect to time, we have 2c(dc/dt) = 0 - (-√3/2)(dθ/dt).
Since the minute hand moves at a constant rate of 2π radians per hour, dθ/dt = 2π/60 = π/30 radians per minute.
Substituting the values, we get 2c(dc/dt) = (√3/2)(π/30).
Simplifying, dc/dt = (√3/4π) feet per minute.
Therefore, at 6:20 pm, the distance between the tips of the minute and hour hands is changing at a rate of approximately 0.0084 feet per minute.
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write each mixed number as an improper fraction 5 5/6?
Answer:
Step-by-step explanation:
You take the whole 5 and multiply it by 6 and add that to the numerator. Then place your result over the denominator.
Here it is 5 5/6 = (5*6)+5=35, take 35 and place it over the 6 giving you 35/6
Answer:
35/6
Step-by-step explanation:
5*6=30
30+5=35
35/6
What is the value of the expression: 3y + 6 divided by 2x, if y = 4 and x = 3? *
13
21
3
Answer:
\(\huge\boxed{\tt{3}}\)
Step-by-step explanation:
Given the expression:
\(\displaystyle \frac{3y+6}{2x}\)
Given that: y = 4 , x = 3
\(\displaystyle = \frac{3(4)+6}{2(3)} \\\\= \frac{12+6}{6} \\\\= \frac{18}{6} \\\\= 3\\\\\rule[225]{225}{2}\)
Hope this helped!
~AH1807Solve five ninths minus two sixths equals blank.
Answer:11/50
Step-by-step explanation:
i dont really know.
if triangle abc is simmiler to DEF the sides of ABC must be congruent to DEF
Answer:
False
Step-by-step explanation:
Assuming this is true/false question
similar means that the angles will be the same whereas congruent means the side legnths will be the same. since you can have a larger triangle with the same angle measurments as a small triangle the statement is false
If the odds against debroah's winning first prize are 3 to 5, what is the probability that she will win 1st prize?
Answer:
See below
Step-by-step explanation:
Odds AGAINST are 3 to5 then odds FOR are 2 to 5
2/5 = .4 = 40% chance of winning
The length of a rectangle is half the width. The area is 32 square meters.
the length of the rectangle is 4, and the width is 8
8x4=32
Find the gradient of the line segment between the points (-6,2) and (4,10).
Give your answer in its simplest form.
Answer:
3
Step-by-step explanation:
gradient/slope/m formula:-
(-6,2) (4,10).
m=(10-4)/(-4-6)
m=6/2
m=3
A group of students in college of engineering studied the following subjects: 25% studied mathematics subject 20% studied electronics subject 55% studied Communications subject 10% studied both electronics and communications subjects 1- Draw Venn diagram 2- If a student is randomly selected what is the probability that he studied Communications or electronics or both subjects? 3- If a student is randomly selected what is the probability that he studied mathematics and Communications subjects?
Venn diagram:
The percentage of students that studied mathematics = 25%
The percentage of students that studied electronics = 20%
The percentage of students that studied Communications = 55%
The percentage of students that studied both electronics and Communications subjects = 10%
P(studied Communications or electronics or both subjects)
= P(studied Communications) + P(studied electronics) - P(studied both electronics and Communications subjects)
= 55% + 20% - 10%
= 65%
Therefore, the probability that a student studied Communications or electronics or both subjects is 65%.
P(studied mathematics and Communications subjects)
= P(studied mathematics) × P(studied Communications)
= 25% × 55%
= 13.75%
Therefore, the probability that a student studied mathematics and Communications subjects is 13.75%.
Drawing a Venn diagram, we have 25% studying Mathematics (M), 20% studying Electronics (E), and 55% studying Communications (C).10% studied both Electronics and Communications.
Therefore, the percentages become as follows: M = 25% - 10% = 15% E = 20% - 10% = 10% C = 55%.
Part 2 - To obtain the probability that a student studied Communications or Electronics or both subjects
P(Communication or Electronics) = P(Communication) + P(Electronics) - P(Communication and Electronics) = 55% + 20% - 10% = 65%.
The probability that a student studied Communications or Electronics or both subjects is 65%.
Part 3 -To obtain the probability that a student studied Mathematics and Communications subjects,
P(Mathematics and Communications) = P(Mathematics) * P(Communications) = 25% * 55% = 13.75%.
The probability that a student studied Mathematics and Communications subjects is 13.75%.
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probabilities for parametric probability distribution models are expressed as what kind of probability?
The it is used to understand the likelihood of getting a particular outcome or event from a population.It is important to note that the probabilities for parametric probability distribution models are expressed as cumulative probabilities. Cumulative probabilities are used to evaluate the probability of a particular event or outcome.
Probabilities for parametric probability distribution models are expressed as cumulative probabilities.Parametric probability distribution refers to a type of probability distribution in which the probability distribution is defined by the probability distribution's parameters. The parameters are usually numeric values that define the distribution's probability density function (PDF) or probability mass function (PMF).The probability distribution is usually used to model a population's characteristics.
It is used to help understand the probability of obtaining a particular set of results from a population.Cumulative probabilities Cumulative probability refers to the probability of obtaining a score equal to or lower than a particular value in a given distribution. It is a probability value that is used in statistical analysis, which is usually represented by the area under the probability distribution's curve.The cumulative probability can be expressed as follows:P(X ≤ x)Where;X: random variablex: score or valueCumulative probabilities are used to evaluate the probability of a particular event or outcome.
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find a solution to the initial value problem y′ sin(t)y=g(t), y(0)=3, that is continuous on the interval [0,2π] where g(t)={sin(t)−sin(t)if 0≤t≤π,if π
A solution to the initial value problem y′ sin(t)y=g(t), y(0)=3, that is continuous on the interval [0,2π] where g(t)={sin(t)−sin(t)if 0≤t≤π,if π<y<2π} is y(t) = 3e^(cos(t)-1) for 0 ≤ t ≤ π and y(t) = 0 for π < t ≤ 2π.
To solve the initial value problem, we need to find a function y(t) that satisfies the given differential equation y′ sin(t)y = g(t) and the initial condition y(0) = 3.
For the interval 0 ≤ t ≤ π, we have g(t) = sin(t) - sin(t), which simplifies to g(t) = 0. The differential equation becomes y′ sin(t)y = 0. The general solution to this differential equation is y(t) = Ce^(-cos(t)), where C is a constant. Using the initial condition y(0) = 3, we can solve for C and find C = 3.
Therefore, for 0 ≤ t ≤ π, the solution to the initial value problem is y(t) = 3e^(cos(t)-1).
For the interval π < t ≤ 2π, we have g(t) = sin(t) for π < t ≤ 2π. The differential equation becomes y′ sin(t)y = sin(t). To solve this differential equation, we can separate variables and integrate both sides. However, the initial condition y(0) = 3 implies that y(t) should be 0 for t > π to ensure continuity on the interval [0,2π].
Hence, for π < t ≤ 2π, the solution to the initial value problem is y(t) = 0.
Therefore, the overall solution to the initial value problem that is continuous on the interval [0,2π] is y(t) = 3e^(cos(t)-1) for 0 ≤ t ≤ π and y(t) = 0 for π < t ≤ 2π.
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Ethan is watering his plants. He starts with a watering can filled with 32 ounces of water, and he pours 3.5 ounces onto each plant. When Ethan finishes watering his plants, he has 14.5 ounces of water left. How many plants does he have? Write and solve an equation to find the answer.
The number of plants Ethan has are 5.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let x be the number of plants Ethan has.
Ethan uses 3.5 ounces of water for each plant, so he will use a total of 3.5p ounces of water.
If he starts with 32 ounces of water and ends up with 14.5 ounces
Total of 32 - 14.5 = 17.5 ounces of water.
As given the amount of water used is equal to the amount of water per plant times the number of plants:
3.5x = 17.5
Divide both sides by 3.5
x=5
Hence, , Ethan has 5 plants.
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There are 5 positions available in the new school. Of the applicant, 12 are men and 8 are women. In how many ways can 3 men and 2 women be chosen if they are equally considered?
There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting
What is the multiplication principle of countingThe multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.
To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).
where n is the total number of men and r is the number of men chosen
so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.
Similarly, we evaluate the number of ways to choose 2 women from the 8 women
as = ⁸C₂ = 14
Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.
220 x 14 = 3080
Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting
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HELP ME ASAP 100 POINTS The height of a right square pyramid is multiplied by 6, but the dimensions of the base remain fixed. By what factor is the volume multiplied? A. 3 B. 6 C. 12 D. 36
Answer:
the answer is 3 b. multiplied by 6
solve for x please ……
Answer: x +b l= 32
Step-by-step explanation: i just cheat
A distance of 5 units is best described by the distance between the —
Answer:
c and d
Step-by-step explanation:
What is the pattern of these numbers 8, 7, 5, 2?
Answer: The pattern is that you -1 then -2 then -3.
Step-by-step explanation:
If you got 9, 8, 6, 3. You would be subtracting 1 then 2 then 3 then 4 then on and on.
2/7+x=17/5
please solve this
Step-by-step explanation:
x=17/5 - 2/7
LCM is 7*5=35
x= (17*7-2*5)/35=109/35
PLZZZZ PLZZZ I HAVE 9 MINUTES LEFT PLZZZ ANSWER THIS PLZZZ IM BEGGING PLZZZ NO SCAMS NO NUN PLZZZ JUST ANSWER
Answer:
AC=19
AB=8.5
<BAD=65
<ABC=115
<BAE=35
Graph the line with slope 3/4
passing through the point (5, -2).
what is the answer
Answer:
My wet but, you scaliwag
Step-by-step explanation:
it simple and easy
NUMBER SENSE Find the measure of each angle.
The measure of one interior angle of a parallelogram is 0.25 times the measure of another angle.
The measure of the smaller interior angle is
and the measure of the larger interior angle is
The measure of the angles in the parallelogram are 144 and 36 degrees.
What is a parallelogram?
A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are of equal length and the opposite angles are also equal.
Having two sets of parallel sides makes a quadrilateral a parallelogram. A parallelogram has opposite sides that are the same length and angles that are the same size. Additionally, the internal angles on the same transverse side are supplementary. 360 degrees are equal to the total of all internal angles.
Two parallel pairs of sides make up a parallelogram, a quadrilateral. Four right angles form a parallelogram called a rectangle.
Angles in a parallelogram
a + b + c + d = 360
Opposite angles are equal, so
2a + 2(0.25a) = 360
2a + 0.5 = 360
2.5a = 360
a = 360/ 2.5
a = 144
the other angle = 180 - 144 = 36 degrees
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how to simplify ( 4-2i)(73i)
Answer:
-148i²+296i
Step-by-step explanation:
(4-2i)(73i)
first you multiply 4 and 74i
4x74=296
then we multiply -2iand73i
-2ix73i=148i²
Answer:
You'll times 4 by 73i and get 292i then times -2i by 73i and get -146i^2 after that you'll right 292i-146i^2.
Step-by-step explanation: